diff --git "a/data/dm_maths/full_data_2/10979_11255.jsonl" "b/data/dm_maths/full_data_2/10979_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10979_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -32*p + 54 - 294 - 110 = -7*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 3. Suppose -h + 0*h + 3 = 0. Let t be p(h). Solve 0 = x + t - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*n**3 - 20*n - 1131*n**2 + 19*n + 1131*n**2.\nAnswer: 108*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:00 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 9. Suppose -10 = -h - 4*h. Suppose 16 = -h*j + 4*j. What is the remainder when i(j) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 24 = -h, 5 = 2*s + h + 1. Calculate the smallest common multiple of s and (-3)\/(-4) + 231\/44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-4)*(-3)\/1*442*(-61)\/14274?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/23)\/b*b)\/b**11)**26*(b**(2\/9)\/b)**(-5\/7)*b*b**6*b*b\/(b\/b**3) assuming b is positive.\nAnswer: b**(-57278\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**7\/378 - 41*a**6\/270 + 44*a**5\/45 - 5*a**4\/3 - 856*a. Factor f(d).\nAnswer: -d**2*(d - 2)**2*(d + 45)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.9226 to 0 decimal places.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 3) in base 9?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29394886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 372 - 477. Let f be 4*(2 + -8)*140\/u. Calculate the highest common divisor of 352 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence babr when four letters picked without replacement from {a: 4, b: 7, r: 2}.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**5\/3 - 4*i**4\/9 + 4*i**3 - 4*i**2\/3 - 8*i\/9 = 0.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + -4 + 5 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 8. Suppose -t*s = 36 + 99. Let n = s - -46. Solve -2*g + 4*i - 13 = 3*g, 2*g + n = -3*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/6*72\/(-108)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 635, 1137, 1967, 3125, 4611?\n\"Answer: 164*x**2 + 10*x + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/(-225))\/((-2)\/20)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 109.41245 and 884.\nAnswer: 993.41245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -72*a + 8. Calculate n(1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12917, 25786, 38653, 51518, 64381?\n\"Answer: -z**2 + 12872*z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.59 minus -160?\nAnswer: 24.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1109, 2978, 6061, 10346, 15821, 22474?\nAnswer: 30293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1419 + 1520. Calculate the remainder when 177 is divided by x.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, -0.5, 4.3.\nAnswer: -1, -0.5, -0.3, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2425 and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p**3 - 4*p**2 - 5*p - 3. Let n(z) = -360*z + 51 - 55 + 11*z**3 - 342*z - 5*z**2 + 696*z. What is -4*l(j) + 3*n(j)?\nAnswer: -7*j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*w**2 + 18*w**2 - 6*w**4 + (-2*w**2 + 2*w**2 + w**3)*(5*w - 5*w - 2*w) + 254*w**2 + 24*w**4 - 507*w**2 + 258*w**2.\nAnswer: 16*w**4 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/9302 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -2 + 2\/3. Let i = -1001 + 1003. Let w = 7 + -5. What is the nearest to i in -0.3, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - -16)\/5 + (-106)\/(-1). Suppose -r*v + 85*v = 0. Solve -4*u + 3*u - 5 = v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11877 = -5*m + 9108. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(4 + (0 + -5 - (-11 + 12)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:39 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:21 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -968614, -1937232, -2905850?\n\"Answer: -968618*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8 - s + 2*s + 2 + 2. Let k be w(8). Find the first derivative of 21 - l**3 + k*l**3 - 12 - 14 wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -12\/7, 0.383.\nAnswer: -12\/7, 0.383, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -101, -361, -801, -1427, -2245?\n\"Answer: -l**3 - 84*l**2 - l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/12384 and 113\/56.\nAnswer: 86688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4322, 8636, 12948, 17258, 21566, 25872?\nAnswer: 30176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {v: 7, b: 2, n: 8, k: 1}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88867616.\nAnswer: 2, 2777113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*b + 73*b - 7. Solve -4 = -5*m + w + b, -4*w = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954099767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 125*y + 500.\nAnswer: 5*(y + 5)*(y + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-2 + 0))*-1. Let d = -11 + 1. Let k be (d + 11)*4\/(-10). Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/60 + 7*v**4\/24 + 3*v**3\/2 + 6*v**2. Calculate p(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2160\/126*70\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2075*t + 287925 = -17120*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 740*v**2 - 48*v - 35526. Calculate n(-740).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 0.6. Let n = t - -1. Which is the biggest value? (a) n (b) 5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 - -140. Suppose q + 3*x - 5 = 0, -2*q = x + 2*x - p. Suppose -4*g - a = -203, 0 = q*a - 3 - 12. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 2 - a**2 + 8*a + 2 + 2. Let k be o(11). Calculate the highest common divisor of 18 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 12, -3*u - 5*c = 14 + 6. Suppose 4*x - 4*p - 300 = u, p - 15 = 6*p. Let q be x\/(-42) - (-2 + 0). Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -4*l**3\/3 - 1. Let p(v) be the second derivative of -v**3\/6 + v**2 - 343489*v. Give o(p(d)).\nAnswer: -4*d**2 + 16*d - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -469, 1803, 4059, 6293, 8499?\n\"Answer: -b**3 - 2*b**2 + 2285*b - 2751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2902, 5829, 8766, 11719, 14694, 17697, 20734, 23811?\n\"Answer: n**3 - n**2 + 2923*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, v: 4, c: 2, t: 2, h: 2, y: 2}. Give prob of sequence yvj.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**5 + 60*v**4 - 125*v**3 - 800*v**2 - 180*v + 1040 = 0?\nAnswer: -13, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o = -77*o - 1134 + 878 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 5*m - 4*m)*(5 - 5 - m) + 3*m**2 + 8*m**2 - m**2 + (m - 4*m + 6*m)*(11*m - 10*m + m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 52*w**2 + 130*w - 62. Give k(15).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 12. Let j(h) = 2*h - 2. Let x be j(m). Let l = 2 - x. Is l at most as big as 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*15\/(150\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 134*j**3 + 241*j**2 - 116599.\nAnswer: 402*j**2 + 482*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8940, -0.3, 2.\nAnswer: -0.3, 2, 8940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 915 divide 18945735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkhphphhpphhpp. What is prob of picking 1 k and 1 p?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1272.5 * 1.1\nAnswer: -1399.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200231111222 + -11?\nAnswer: -1200231111233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 37*c**2 - 282*c + 6110. Determine u(34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -2) + 2 + 2. Let q = -43 - -11. Let k = 31 + q. Sort k, 1, b in descending order.\nAnswer: b, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -18. Suppose 152*i = 157*i + 25. Let j(k) = -k**2 - 6*k - 12. Let m be j(i). Is m equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(171) + sqrt(475) + 3)**2 + 3.\nAnswer: 102*sqrt(19) + 5503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*q**2 - 23*q**2 + 9*q**2 + (2*q - 5*q + 2*q)*(2*q - q + 0*q) + 252*q**2 + 42*q**2 - 50*q**2 to the form f*q + o*q**2 + l and give o.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5047\/530 - 33\/53. Suppose 3 = 3*w, -6*x = -10*x + 4*w + 13620. Let t = x + -98759\/29. Calculate the common denominator of g and t.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.26229+6.12\nAnswer: 13.38229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n**(2\/75)\/n)\/n*n)*n**(-3\/7)*n*n**(3\/14)*n**(-1\/28) assuming n is positive.\nAnswer: n**(517\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 4*p**2 - p + 1. Let y be s(-4). Suppose 5*x + 45 = d, -3*d - 57 = -y*d - x. Suppose -2*a = a - d. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 35 = 7*c. Suppose -4*n + 7*n = g - c, g - 8 = 4*n. Solve -g*y - y = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133115 - -45924763\/345. Find the common denominator of a and 51\/5.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1196*d**5 - 3*d**4*i - 4*d**2*i - 427*d**2 wrt d.\nAnswer: -71760*d**2 - 72*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3135, -3177, -3281, -3477, -3795, -4265, -4917?\n\"Answer: -5*r**3 - r**2 - 4*r - 3125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/8, 2, -4, -132, -0.3, 3 in descending order.\nAnswer: 3, 2, -0.3, -5\/8, -4, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y - 2 = -3*q, 0 = 5*q - 4*y. Let l be 0 - (q + 2 + -1). Let r(j) = -5*j - 1 - j**2 + 3*j**2 - 3*j**2 + 7. What is r(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 5897*o - 41380. What is v(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.748 rounded to 1 dp?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185084564.\nAnswer: 2, 7, 944309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/2 + 3\/6. Suppose t*y - 5*y = 0. Suppose 4*q = w + 16, y*q + 3*w - 4 = -q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + ((-2)\/8)\/1. Let w = -3549 - -3544. Which is the second biggest value? (a) -4 (b) w (c) x (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/10)\/((-6)\/(-15)). Let i be (-4*(-1029)\/(-678))\/j. Let m = i + 2\/113. Is -1 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4647.97986 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 17*k - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -525270 and -0.3?\nAnswer: 525269.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400356*p = -1400898*p + 19512 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*g = -166, -2*o + 0*o - 5*g + 126 = 0. Let l = -58 + o. Which is smaller: l or -1\/111?\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from {i: 1, t: 2, m: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 71*d + 425 - 697, -4*d - 6*d = 3*y - 8*d + 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14294 by -7147.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -51. Let i = -26 - -37. Let p = i - 8. Which is the closest to p? (a) g (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -7.1, 0, 0.2.\nAnswer: -7.1, -0.4, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 6 - 6. Let x(h) = -h**3 + 4*h**2 + 6*h + 3. Let s be x(-3). Let k(j) = 27 - 3*j + 4*j - s + 21. What is l(k(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 9*k**2 - 10*k - 13. Let b be g(-8). Is 1516*b*10\/40 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = -4*b, 7*b - 12*b = -n + 32. Let l(f) = 9*f**2 - 7*f + 6. Let k(q) = -16*q**2 + 13*q - 11. Let s(y) = n*l(y) + 4*k(y). What is s(6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l - 1560 = 129*l + 296 + 1072 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000093537279 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 4)*(2*q + 0 + 0) + q + q + q)*(0*q + 2*q - 4*q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 7*l = -2, 2 = -v + 3*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t - 10. Let g(u) = -31*u + 29. Let j(s) = 2*g(s) + 7*o(s). Let w be j(2). Solve -2*m = w*r - 3*m + 18, -4*r - 22 = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(17\/5)))**(-4\/5)*((z*z**(-6)\/z*z*z)\/z)**(-1\/53) assuming z is positive.\nAnswer: z**(-3479\/1325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14189, 28380, 42571, 56762, 70953?\nAnswer: 85144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222550450 (base 6) to base 5.\nAnswer: -2014323300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 60, 80, 98, 114?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 12*u**2 + 14*u - 14. Determine s(-13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24961 + 24964. Let s be 3\/(-2)*(6 - 8). Let g = 1 - s. What is the nearest to g in h, -4, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*h - 6, 3*z + 5*h = 7*z + 10. Is z less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3493.35 and 322?\nAnswer: 3171.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -17\/2*a**2 + 0*a + 5. Let o(z) = -6*z. Determine 3*i(b) - 8*o(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 2*j + 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-12) + -1*10052\/24. Let j = h - -422. Solve 4*f - d - 3 = 16, -15 = -j*f + d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*g - 4, 4*r - 78 + 81 = -g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 2\/9, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33029060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 - 17*t - 2. Suppose 18 = 8*u - 22. Is g(u) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/(12 + ((-1889407)\/(-1560))\/(-101))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 195?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 5*h - 9. Let o be x(-7). Sort 4, o, -7 in decreasing order.\nAnswer: o, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24)\/((-108)\/144)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1523, 1537, 1553, 1571, 1591, 1613?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -967742*b**4 + 6*b**3 - 2*b**2 + 208*b + 393.\nAnswer: -23225808*b + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -70*x + 3. Suppose 3*o = -8 - 4. Let l(h) = 141*h - 5. Let n(c) = o*l(c) - 7*f(c). Let t be n(-7). Calculate the highest common factor of 47 and t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c + -1?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 5\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/3 + 11*d**2 + 36*d + 18. What is the units digit of n(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3*sqrt(432))\/sqrt(9) - ((2*sqrt(18))\/sqrt(6) + (sqrt(300) + 4 + sqrt(300))**2 + sqrt(3))) + 1.\nAnswer: -1218 - 175*sqrt(3)","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 csss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 447*h - 18 = -449*h, 4*l - 5*h = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 17*s**2 + 3*s + 5. Let d(x) = -x**2 - 3*x + 2. Let a be d(-4). Is v(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1878*u**2 + 27*u + 74. What is the hundreds digit of v(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-957 - -976) + -3 + (-5 - (-1 + -2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -4719?\nAnswer: -4719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1257904 and 43376.\nAnswer: 1257904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10*v = -200. Let f = -11 + v. What is the tens digit of 31 - 7\/(f\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 11 + 6)*(2 - 1 - 4)*(0 - 2*w + 2 - 2*w)*(3 - 2 + 1)*(-1 + 3 - 4) to the form s + o*w and give s.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**7\/70 - k**6\/5 - 19*k**5\/20 - 5*k**4\/4 + 3*k**2. Factor q(d).\nAnswer: 3*d*(d - 10)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -617 - 83 = -4*t. Suppose -t = 5*u - 12*u. Suppose -3*g = -5*n - u, -4*g - g + 2*n = -10. Solve 4*o + 3*l = -14, 0 = -4*o + l - g*l - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + (3 - 3) + 1. Suppose 0 = -k + 1, -5*k = 4*y - g. Solve -w - y + 6 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -13. Suppose 0 = m*t - 10*t - 20. What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/7967 - 501965\/175274. Calculate the common denominator of w and -11\/694.\nAnswer: 7634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80000 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 = w + 2*m, -24 = 3*w - 3*m. Suppose -2*b - 16 = -0*b. Is -4*(w - (-38)\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h. Suppose 4*x - 28 = -8. Suppose 4*y - x - 3 = 0. Let u(s) = 5*s - y*s + 3*s - 4*s. Calculate u(g(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -80957.23 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3869?\nAnswer: 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*u = 1108*u - 500*u + 76250 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15312 = -5*f + 15452. Let q be (-2334)\/(-20) + (-42)\/f. Find d, given that -512\/15 - 54\/5*d**4 + 288\/5*d**3 - q*d**2 + 512\/5*d = 0.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((8\/16)\/((-2)\/12))\/3. Put -2, k, 83 in descending order.\nAnswer: 83, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 > 5.862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25105 divided by -17442.\nAnswer: -25105\/17442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1736*z**3 - 10*z - 11. Let q be w(-1). Suppose 0 = h + 4*h + 4*i - q, -i = 5. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143201.4ml in litres?\nAnswer: 143.2014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/9 + 50*f**2\/9 - 82*f\/3 + 38 = 0.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 734051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:15 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((3 - 0\/(-2)) + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -275, -279, -283?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 18*a + 37. Let o be f(38). Suppose -9*u = -o - 611. Calculate the greatest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**3 - 19*y**2 + 16*y + 26. Let t(o) = -o**3 + o**2 - 1. Let q(h) = -p(h) - 6*t(h). Let g be q(-14). Suppose g = n + 7. Is -5\/12 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/7026 and 65\/80448?\nAnswer: 94204608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6478 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*p + p - 4, -5*j = -5*p - 20. Which is bigger: 17 or p?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 47*n**3 - 11*n**3 - 147*n**3 + 80*n**3 as u*n + g*n**3 + o*n**2 + m and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.59 + 0.01. Let w = -6584 - -19754\/3. Which is the second biggest value? (a) w (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1225955923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11859438 rounded to 4 dps?\nAnswer: 0.1186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -3 (c) 0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5929 and 0.7?\nAnswer: -4150.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s**2 - 2479*s - 2691. Calculate j(147).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9*-63.17574\nAnswer: -568.58166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2 - 1) + 10 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68123 and 55737.\nAnswer: 613107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*x, 5*k - 46 = 3*x + 5. Let m(v) = v + 5. Let i be m(-3). Suppose 2*s + i*n = 6, s + 2 = -s - 4*n. Calculate the least common multiple of k and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658199127.3 minus 19436?\nAnswer: 658179691.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21930 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/968418 and 21\/538010.\nAnswer: 4842090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4012)\/(-44) + -3*(-2)\/(-33). Suppose -2*h - 130 = -2*k, -o = -k - 4*h - 31. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 429408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3be (base 15) to base 8.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)\/y*y**(-1\/4)*(y\/(y*y*y**(-1)*y))**(40\/9) assuming y is positive.\nAnswer: y**(-385\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57a0 (base 13) to base 3\nAnswer: 121212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45646.5 litres in millilitres?\nAnswer: 45646500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzyrazyr. What is prob of picking 1 z and 1 a?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/48756 and -7\/385985?\nAnswer: 4631820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*b - 1074*b - 93*b + 76*b - 9.\nAnswer: -1497*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 1:14 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6488530331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2. Let c(g) be the first derivative of -2*g**3\/3 + 15. Calculate c(s(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6159 - -2443. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58191, -58193, -58195?\nAnswer: -58197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 15*w**2 + 14*w + 3. Let v be x(-14). Find the common denominator of 5*(36\/14 - v) and -12*4*(-4)\/(-200) + -1.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -1356, -3927, -8514, -15687, -26016, -40071, -58422?\nAnswer: -81639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/49*-8 + 2 + -1. Which is the nearest to n? (a) 5 (b) 0.3 (c) 5\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -n - 309, -5*n + 318 = o - 9. Let m = o + -305. Solve -m*q - 20 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -17, -32\/35, -1, 3, 1?\nAnswer: -32\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**2 + 213*b + 24149. What is i(76)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -9*m**5\/80 - m**4\/4 + m**3\/8 + 3*m**2\/4 + 23*m. Factor p(g).\nAnswer: -3*(g + 1)**2*(3*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/161 and -34\/115.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxh when three letters picked without replacement from {l: 3, x: 5, k: 2, h: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5642.76ug?\nAnswer: 5.64276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 6.02292697\nAnswer: -1.02292697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - -74. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*m - 30 = 0, 9 - 101 = -5*y - m. Suppose p - y = 2*r, 3*p + 0*r - 61 = -r. Solve 6*v - p = 3*v - 2*z, -5*v - 2*z = -28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-5) - (-4)\/10. Let l(p) = p + 1. Let z(d) = -8*d + 2. Let b(r) = l(r) + z(r). Give b(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776819 is divided by 389.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-16))\/((-2)\/16). Let r = k + 14. Solve 4*d - b - r = 0, d + 4*b = -2*d + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 105*n + 276*n - 302*n**2 - 33*n**2 - 140*n**3 + 19*n - 60*n**2 + 75*n**4 + 60 = 0.\nAnswer: -2, -2\/15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -873 less than -7958334.6819?\nAnswer: -7957461.6819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-945)\/84)\/45)\/((-104)\/32).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4164897\/112 + 37187. Calculate the common denominator of 101\/464 and u.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -571\/163 + 1\/326. Which is the closest to 0.1? (a) 1\/8 (b) n (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b = 56*b - 5*l - 10, 7 = -3*b - 0*b - 4*l - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 7310\/(-270) - 1508\/54\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 24*u + 294. Let x be k(-33). Sort 2, 0, -27, 24, x in descending order.\nAnswer: 24, 2, 0, x, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15612363*w - 114621955.\nAnswer: 15612363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1396 is divided by 210.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/7 (b) 43 (c) -2 (d) 197\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000195393442 rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c - 7. Let m be g(-1). Determine t, given that 2*t + 190 + 72*t**2 + 48*t**5 + 2*t - 112*t**4 + 198 - m*t**3 - 396 = 0.\nAnswer: -1\/2, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 3. Let n be s(-8). Suppose -16 = -n*f + 3*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 - 3153?\nAnswer: -3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 - -442. What are the prime factors of n?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 29100 = -4*d + 1358, 0 = -3*g - d + 41550. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7154 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 2*s**3 - 4*s**3)*((-1 - 6 + 2)*(-2*s**2 + 0*s**2 + 3*s**2) - 2*s**2 + 2*s**2 + s**2 - s**2 - 3*s**2 + 6*s**2) + 13 - 13 + 18*s**5.\nAnswer: 20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -3*y**2\/2 + 10. Let w(z) = 9*z. Let f(n) = -n. Let c(d) = -4*f(d) - w(d). Calculate t(c(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2*1\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**2 - 18*x**2 - 11*x**2 + 42*x**2 + 6*x - 6*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 482*t - 39382. Calculate m(-305).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 13*u**2 + 30*u + 4. Let p be x(-15). Sort 1, p, -1, -6 in ascending order.\nAnswer: -6, -1, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18050 divided by 3?\nAnswer: 18050\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/6)\/((-2)\/4). Let y = 25 - j. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/14 - 16*v**3\/7 + v**2\/7 + 48*v\/7 - 41. What is o in m(o) = 0?\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Let d(y) = 3 + x*y + y + 2 - 2*y. Is d(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - c - 42. Calculate the remainder when (-4)\/10*(-10 + 0) is divided by -1 + 4 - (-6 + 2 + c).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*t**2 + 67*t**2 - 34*t**2 + 27*t**2.\nAnswer: 162*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1193 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - l**2 + 8*l**3 + 102*l**3 - 3*l**3.\nAnswer: 107*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 135642989 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -31*d**3\/6 - 22*d**2 + d - 6. Differentiate x(f) wrt f.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-232654)\/(-3814) - 2865\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 2*m - 3*m + 12*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4408*t**3 - 174*t**2. Let s(h) = 126*h**3 + 5*h**2. What is -174*s(a) - 5*w(a)?\nAnswer: 116*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3312904 nanometers?\nAnswer: 0.0000003312904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 + 0) - (0 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -85*t - 6. Is m(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -295.684 - 5.616. Let y = 316 + n. Round y to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 6. Suppose -4 = -h*f + 20. Let k(j) = 5*j + 6. What is the tens digit of k(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -3, -1 in ascending order.\nAnswer: -3, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 16*h - 27. Calculate i(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2993*j = -4350*j + 266*j - 658161 for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 + 159. Calculate the least common multiple of 4\/22 - -2*210\/110 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6*v + 81 = 3*v, 3*q + 3*v = 63. What is the tens digit of 342\/q - (-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {b: 4, l: 1, e: 1, o: 1, a: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 6*p - 4. Let s be k(-4). Let y(h) = -76*h - 380. Let j be y(-5). Let r = j + s. Solve 8*a - r*a = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 20*q = 1005. Let l = -25 + q. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6237)\/(-297) + 21752 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(4212) + -1 + 0)**2 - (2*-1*sqrt(143))\/(sqrt(275) - (sqrt(275) + 4*sqrt(275))).\nAnswer: -361*sqrt(13)\/10 + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1071, 0.46, -5, 1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 11*q**2 + 19*q - 237. Let t(n) = -2*n**2 + 3*n - 47. What is -11*t(i) + 2*w(i)?\nAnswer: 2*i**3 + 5*i + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32487087 to the nearest integer?\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 71298*s - 17 - 19 - 17 + 997368*s.\nAnswer: 926070*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 15\/19)\/(3\/(-18)). Which is greater: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.5003461 rounded to the nearest integer?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (705\/658)\/((-12)\/14).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x + 34. Let a be d(-17). What is the highest common factor of 68 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -34115?\nAnswer: -34113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13975 divided by -3?\nAnswer: 13975\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -55, -1\/4091, 35, -0.1?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610069 at least 3610069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19364442 divided by -178?\nAnswer: -108789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11681496*c**3 - 3*c**2 - 511*c + 3453 wrt c?\nAnswer: -70088976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*f + 8, f + 4 = h - 0. Let g(y) = 0*y**2 + 6*y + y**2 - h*y + 2. What is g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.6 times 2.582\nAnswer: 29.9512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.806 - 18.706. Suppose 3*t + 0*t - 15 = 0. What is the closest to 1 in -2\/3, 0.6, i, t?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -24. Let m = b + 94. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 685, 3, 2 in increasing order.\nAnswer: 2, 3, 685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 12) to base 10\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, -5, -3, 1, -1, 5 in ascending order.\nAnswer: -6, -5, -3, -1, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**3 - q**3 - 4*q**3)*(3 - 4 + 3 + 119*q + 4) to g*q**4 + i*q**3 + u + x*q + y*q**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79.315 and 0.0448?\nAnswer: -3.553312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o - 10. Let n be h(-3). What is the least common multiple of 18 and (-42)\/(-49)*1*n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2287*g**3 + 2*g**2 - 3*g + 2. Let k be a(1). Let t = -574 - k. Let d = 3027 - t. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 + 101. Find the common denominator of 99\/16 and (30\/84*318\/20)\/j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 8*b - 7. Let x be y(-8). Let k(v) = -v**3 - 7*v**2 - 1. Let z be k(x). Let h(r) = 9*r**2 - 2*r - 1. What is h(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/43046 and -57\/8.\nAnswer: 172184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sslsnlslnsllslsllls. Give prob of picking 1 l, 2 n, and 1 s.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 8*o**2 - 3*o. Let i(s) be the third derivative of 0*s + 0*s**4 + 0*s**3 + 9 - 5*s**2 - 1\/60*s**5. Calculate 14*i(k) - 2*u(k).\nAnswer: 2*k**3 + 2*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.966254 to 2 dps.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 28830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2690257?\nAnswer: 103, 26119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-225)\/40))\/((-40)\/(-100))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/5403?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*v - 28*v**2 + 142*v + 141*v.\nAnswer: -28*v**2 - 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(21) - -1*sqrt(21))*2 - -1*sqrt(189))\/(sqrt(28)\/(sqrt(72)\/sqrt(2))))*5.\nAnswer: -20 + 105*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124571175 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + w. Let y(i) = -2*i**2. Let u(m) = -l(m) + y(m). Let k(c) = 16*c**2 + 12*c. Suppose -13*v + 4*v = 9. Give v*k(h) - 12*u(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4301 (base 5) in base 10?\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 8. Suppose -l*z - 3*z = m + 1, 4*m + 3*z = 13. Solve 3*p - m*w + 23 = 0, p - 19 = -3*w - w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {z: 3, r: 1, t: 4, p: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 1)*(-1 + 3 - 1) + 2 - 4 + 6)*(175*p**4 + 842*p**4 + 2362*p**4) - p**4 + 0*p**4 - p**4.\nAnswer: 20272*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6 + -3.9. Which is the second biggest value? (a) -3 (b) 0.4 (c) p (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612 and 2244?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31.5 + 1.6\nAnswer: 33.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 34648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -2.9021266908949?\nAnswer: 3.0021266908949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.96 and 31570275.\nAnswer: 31570272.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 5, r: 2, g: 11}. What is prob of picking 2 f and 1 r?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -17*x**2 - 3527*x - 103710. What is l(-172)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 364 = -23*s. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*38\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589*x - 576*x + 13 = 0. What is the closest to x in 3, 4, 29, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2801 divided by -2.\nAnswer: -2801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 3349280?\nAnswer: 10047840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 6*sqrt(252)\/(sqrt(9) + sqrt(63)\/sqrt(7)))*-6)**2.\nAnswer: -1728*sqrt(7) + 9648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1144250 by 49750.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 - -0.45. Suppose z = -2*k - 0*k + 1, -3*z + 2*k = -11. Which is the second biggest value? (a) z (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 8) + -9 - -1) + 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3771*z**2 + 1604*z - 27. Let o(y) = 5279*y**2 + 2245*y - 38. Let p(n) = -17*d(n) + 12*o(n). Find the second derivative of p(l) wrt l.\nAnswer: -1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.111054 centuries to months.\nAnswer: 133.2648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 2*g + 2*g + 1 + g - 1 + 3*g - 5*g + 0*g + (2*g - 6*g + 2*g)*(1 - 3 + 1) + 0*g + g + 0*g + 174*g - 526*g + 228*g - 19.\nAnswer: -123*g - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -413*d + 14878. Determine g(36).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 4*l**2 + 8*l + 21. Let n be c(-5). Solve 0 = -2*o + 3*w - n, 0 = 4*o + 3*w + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3, -60, 2.7, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6790 and 3612571?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7842835 to the nearest integer?\nAnswer: 2801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006860952 to 6 decimal places.\nAnswer: -0.000686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12006061231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -193*i + 180*i. What is the highest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14750, -14743, -14732, -14717, -14698, -14675, -14648?\nAnswer: -14617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 18 = 8*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + -8 - (-1600)\/25. Solve -y*r = -59*r + 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 12 = 3*m - 3*l, -4*l = 5*m - 20. Suppose -3*p + 28 = m*p. Solve -p*x + 14 = -4*r + 42, 5*x + 19 = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**2 + 5*p - 38. Suppose 0 = 5*r - 4*a - 38, -5*a + 8*a + 6 = 0. What are the prime factors of k(r)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 111, 223, 335, 447, 559?\n\"Answer: 112*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -2 + -20 + -6955 + 7033?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**2 + 36200982*u + 36200979 = 0?\nAnswer: -12066993, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 plus -279?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-252)*28\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13962, 12474, 11008, 9576, 8190, 6862?\nAnswer: 5604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*x**5 - 208*x**5 - 171*x**5 + (0*x - 2*x + 5*x)*(5*x**4 - 4*x**4 - 3*x**4).\nAnswer: -288*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*m + 882*m**3 - 44*m + 28*m - 10*m**2 wrt m.\nAnswer: 5292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let n(g) = -7 + 3*g + 9*g**2 + 5*g**3 - d*g**3 + 4*g. What is the remainder when n(-6) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 = -1. Suppose a*g = y - 0*g - 6, 5*y - 3*g = 23. Suppose 32 = -4*d - y*d. Sort 1, 0.2, -3\/7, d in increasing order.\nAnswer: d, -3\/7, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*d, d - 257 = 28*j - 314 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 = 2. Suppose j - o - 9 = 0. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110000100 + -11?\nAnswer: 10110110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002409231 rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*i + 46*i = 49*i + 304 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from aijyalivv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 - 8*b + 2. Let p be a(-7). Suppose 0 = q + 2*q - p. Let s = 137\/12 + -32\/3. Sort s, -4, q in descending order.\nAnswer: q, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24b0b20 (base 12) in base 2?\nAnswer: 11011011101000101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 98 - 37 + 2*r**2 + 2*r**4 - 34 + r - 28 as z*r**2 + d + s*r + t*r**4 + p*r**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(114) + 2*sqrt(114) + sqrt(114)))\/(sqrt(30)\/sqrt(80)).\nAnswer: -80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 15*f - 3. Let b be q(-8). Suppose -s + k + 442 + 94 = 0, 5*k = -b*s + 2730. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-69)\/(-21) - 2\/7. Suppose 0 = -o*d + 17 - 125. Round d to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 3*t - 5. Let p(r) = -2*r**2 + r - r**3 + 18 - 24 - r. Let n be p(-3). Let m(x) = -x**3 + 2*x + 3. What is n*k(a) + 5*m(a)?\nAnswer: -2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose t*d - d = 0. Let z be 12\/(-2)*(-2)\/32. Is d at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135012735 divided by 33.\nAnswer: 4091295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 3. Let c = 116 + -58. Suppose -5*z + c = -67. What is the remainder when z is divided by v(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 - -467?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + (14 - 5 - 7) + (-27 - -26) + 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*c + 25. Let g be (2 - 1)\/1 + -2. Let j = g - c. Solve 0 = 5*f + j + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 8*j. Let u(s) = -14*s - 19*s - 13*s + 66*s - 15*s. Calculate o(u(k)).\nAnswer: 25*k**2 - 40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -673 - -10099\/15. Let k(j) be the second derivative of 0*j**4 + 0*j**2 + 0*j**3 + 1\/7*j**7 + 0 + p*j**6 + j + 2\/15*j**5. Find l such that k(l) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9426362 and 65984534?\nAnswer: 65984534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -0.30261?\nAnswer: 3.30261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 4*d. Let v be (-1 + -55)\/(-4) - 4. Suppose 3*n - 2 = v. Let y be f(n). Solve y = o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 34028003?\nAnswer: 340280030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 199 = -w, -g + w - 6*w = -45. Is 4750\/g + 4 + 1 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32957 (base 10) to base 9\nAnswer: -50178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.5 (c) -1 (d) -12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3411 (base 6) to base 5.\nAnswer: -11144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 times -5.1\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*f + 27 = 62*f. Sort 140, f, 1, -5.\nAnswer: -5, 1, f, 140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 13) in base 4?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**3 + t - 1. Let s be d(1). Let m = s + 20\/3. Let i = -961\/7 + 137. Sort m, 5, i in decreasing order.\nAnswer: 5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1165*b - 751*b - 112*b - 4*b**2.\nAnswer: -4*b**2 - 2028*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 13. Let l(b) = b**2 + 6*b + 13. Let j be l(-9). Let f = h + j. Solve 0 = 5*a - 3*a + 5*v + f, -2*a = -5*v - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2330110 (base 5) to base 8.\nAnswer: 123042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51588019.\nAnswer: 7, 1423, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a - 6. Let x(r) = 19*r - 13. Suppose 77*s = 73 + 620. Determine s*y(d) - 4*x(d).\nAnswer: 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 6 + 12 + o**2 - 3 + 7*o. Let z be q(9). What is the third biggest value in -2, z, -3\/2, 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(30)\/sqrt(3) + sqrt(10)) - (sqrt(3) - sqrt(27))*1.\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700590?\nAnswer: 2, 3, 5, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/3 - 1456*i**2 + 898915*i\/3 - 593450 = 0. What is i?\nAnswer: -4565, 2, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r*r**(-8\/3))\/r)*r**26*((r*r\/(r\/(r\/(r\/(r**(2\/13)*r*r)))))\/r)\/r*(r*(r\/r**(2\/9))\/r)\/r assuming r is positive.\nAnswer: r**(3463\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 45?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 121, 199?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**0)\/q*q)**(3\/31)\/((q*q**2*q)\/((q*q**(-1\/2)*q)\/q))*(q**(-2\/3))**5\/(q**(-2\/7))**(-7\/6) assuming q is positive.\nAnswer: q**(-1297\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2792 + -2796. What is the closest to -0.6 in 0, f, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - v - 13 = -27, 16 = -3*x + 5*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 26. Suppose -t*q + 39 = -16. What is the third derivative of -21*s**2 - 11*s - 8*s**4 + q*s wrt s?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105098590.\nAnswer: 2, 5, 17, 618227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16865 times -9?\nAnswer: -151785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18164 or 5322?\nAnswer: 18164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4020 and 131\/21090.\nAnswer: 2826060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (4\/2 - 1). Let w be 0 + s + 2\/16. Let f(h) = h**3 + h**2 - 2*h - 2. Let r be f(-2). What is the smallest value in 0, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - c - 4*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1 + (-15)\/9. Let s(j) = 133*j + 1726. Let k be s(-13). Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 55, -0.04, -3, 64, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-1*(-5)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 5*i - 80, -4*b + 116*i - 113*i = 141 - 154 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1461857 (base 10) to base 8.\nAnswer: 5447141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 5462361?\nAnswer: -5462361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b\/b**(-2\/29)*b)*b)\/b**(-5\/3))\/(b**(-14)\/(((b\/(b*b**(2\/7)*b))\/b)\/b*b)) assuming b is positive.\nAnswer: b**(9325\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -21812.\nAnswer: -13\/21812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 1.35, 2\/3, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.3 - 23. Which is bigger: p or -5\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6083715 divided by -3\nAnswer: 2027905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 19*q**2 + 6*q + 14. Let t be d(-11). Suppose -f = -t - 200. Find the second derivative of 16*u - u + 1110*u**3 - f*u**3 wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-8)*32\/3. Let u = y - 29. Let c = 1127 + -1124. Put 4, c, u in descending order.\nAnswer: u, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzuuuzuz. What is prob of picking 3 z and 1 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(-2*q + 6 + 0*q - 2)*(10 - 10 + 5*q).\nAnswer: 30*q**2 - 60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3724838220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + (443 - 503 - (1 - -10)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 2*c + 1. Let m(y) = -2*y**2 - 9*y + 4. Determine m(j) - 3*r(j).\nAnswer: -8*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(1\/9)\/(55\/((-137280)\/32)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -40.\nAnswer: -31\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 17. Let i be u(8). Suppose -2*q + i + 32 = 5*k, 3*q = -2*k + 20. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 368*o**2 - 3*o + 4. Suppose -31*y + 3*y = -28. What is the tens digit of l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.5 (b) 4\/5 (c) -2\/9 (d) 2.3 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**6\/6 + 3*x**5\/5 + x**4\/4 - x**3 - x**2 - 9. Determine i, given that b(i) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1702396 by -13729.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 924362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 + 52*i**2 - 12*i - 24. Let g be m(-13). Let o = -319339\/8 - -40049. Let z = o - g. What is the smallest value in -4, 2\/17, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 42. Let f = -350 - -239. Which is the closest to 1? (a) 5 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 6, 3*j = -850*u + 846*u - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -358 + 357. Let s = -0.1 + 0.1. What is the closest to t in 2\/7, 0.02, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -21*16\/48 + 9. Solve -2*i = -l*c + 12, c = 4*i + i + 26 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (-4 - -2 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115931 to the power of 1\/2, to the nearest integer?\nAnswer: 2029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcvmmzcyymczzcvycmz. Give prob of sequence vzy.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 0.2, 0.1, -494?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*d - 71, -5*d + 32*i = 33*i - 140. What is the remainder when 1402 is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 32. Suppose -b*v = 4*o - 5*o - 236499997, -2*o = -v + 47299994. What is v rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4453809 weeks in hours?\nAnswer: 74.8239912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373100 divided by -26.\nAnswer: 14350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -536 - -623. What is the remainder when p is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 142, 250, 406, 628?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 10) in base 2?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {p: 4, j: 3, h: 1, l: 2, k: 4, r: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 - 65*q - 8*q - 5*q**3 + 5*q - 2*q**2 to the form o + v*q + i*q**3 + u*q**4 + g*q**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12089729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101333, -101332, -101331, -101330, -101329, -101328?\nAnswer: -101327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/414*(-24)\/(-28))\/2?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -228887 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Let o be 12\/9 - v\/3. Suppose -38 = -o*c - 2*n, 0 = 2*c + n + 2*n - 37. What is the lowest common multiple of c and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 10. Let z(q) = -q**2 - 5*q + 2. Let o be z(-4). Let p = o - -10. Let b be m(p). Calculate the greatest common divisor of 48 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28900*p + 16 = 28903*p + 8*y, 61 = 7*p - 5*y for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 4*b - 19 + 20, -5*q = -b - 16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-95 - 94 - 4)*(-5*m + 0*m - 4*m) as w*m + p and give w.\nAnswer: 1737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 17*u = 216. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*i - 30, 4*w + 4*i + 12 = -0*w. Let k be -15 - (166\/(-16) - 630\/(-1680)). Put w, -4, k, 0 in decreasing order.\nAnswer: 0, -4, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -931b (base 12) to base 16\nAnswer: -3e87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5375 + -4?\nAnswer: 5371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, e: 8, s: 4}. Give prob of sequence exsx.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(112))*1.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from zzzzzzzqrzdqdqr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/30 - (0*4\/(-20))\/2. Let a(l) be the first derivative of 1\/40*l**4 + 31 + x*l - 1\/20*l**2 - 1\/30*l**3. Suppose a(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-1892)\/13464)\/43?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 12. Let m be o(13). Let d be 0\/(2 - m) - -6. Suppose d = 3*s - 9. Solve 4*u - 4*g = 8, s*u - 4 = -3*g + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4598, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-16)*((-7680)\/8)\/(-40)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(((sqrt(153)*-1)\/sqrt(9) - (sqrt(1377) + 0)) + 2 + sqrt(153) + (sqrt(17) - 2*sqrt(2448))))**2.\nAnswer: -3000*sqrt(17) + 382600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5277 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(2*l**3 - 4*l**3 + l**3) + (-58*l**2 + 31*l**2 + 50*l**2)*(-5*l + 2 - 2) in the form j + a*l + b*l**3 + x*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. What are the prime factors of 2 - (-3 + -1 + f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189159578*m**2*x + 73540749*m**2 with respect to x.\nAnswer: -189159578*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*((-2)\/12)\/(33\/(-330)). Let a(s) = -s**2 + 5*s - 2. Let r be a(8). Let p = z - r. Calculate the greatest common divisor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, j: 3, s: 5}. What is prob of sequence ju?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y + 4. Is 21 a factor of p(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1274852, -1274847, -1274830, -1274795, -1274736?\n\"Answer: a**3 - 2*a - 1274851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*f + 53 = -56. Sort f, 76, 16.\nAnswer: f, 16, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3554*n**3 + 106*n**2 - 4*n + 1. Let h(j) = -j**3 + j**2 - 2*j + 1. Let l(u) = h(u) - m(u). Find the third derivative of l(z) wrt z.\nAnswer: -21330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5 + 310 + -291.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 72*c**2 - 43*c - 264. What are the prime factors of j(42)?\nAnswer: 2, 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5779, -5775, -5771, -5767?\n\"Answer: 4*x - 5783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 12. Let y be s(14). Let g = -8 - y. What is the smallest common multiple of 38 and g?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*f + 4*f - 9 = 0, -2 = 2*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 185 = -2*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - -4) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -400333 (base 5) to base 7\nAnswer: -51500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 18, 38, 78, 144, 242, 378?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5112280712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1137 or -4378?\nAnswer: -0.1137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2440493*m - 2440493*m - 160*m**3.\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033121643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/7 (b) 5 (c) -10 (d) 4\/3 (e) -4905 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:22 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x**2 + x - 1. Suppose 0 = 151*w - 154*w + 3. Let k(j) = -5*j**3 - 3*j**2 - 2*j + 5. Calculate w*k(p) + 3*q(p).\nAnswer: -2*p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -74. Let x be (-3)\/v + (-133)\/(-84). Determine l, given that 0 + x*l**2 - 4\/3*l**4 + 2\/3*l - 2\/3*l**5 + 0*l**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10077775039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 10 in increasing order.\nAnswer: -6, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/(-220))\/((33\/11)\/60).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27003 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: Let a = 1687.18 - 1669. Let p = a + -18. Let h = p - -4.82. Sort h, 0.5, -0.4 in increasing order.\nAnswer: -0.4, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-423.\nAnswer: -169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (41 + (-67 - (-30 + 2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4284, -8938, -13588, -18234?\n\"Answer: 2*k**2 - 4660*k + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6044?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6407a (base 11) to base 15\nAnswer: 1c972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*c + 0*c = -287, -4*i + c + 1072 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107039 by 19.\nAnswer: 107039\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47547 and 97442.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(-2) + 5\/(-10). Is -9 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 3*l - 5. Let v(y) = -13*y**2 - 57*y + 9. Let a(i) = -5*r(i) - v(i). Give a(21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2294 - -2294.1. Which is the third smallest value? (a) -0.7 (b) h (c) -127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 19. Let f(x) = -2*x + 29. Give -5*f(t) - 8*p(t).\nAnswer: 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 4. Let d be y(3). Suppose -5*h + 2*h = -d*o - 14, -4*o - 16 = 0. Suppose -h*v + 8 = 2*v. Solve -v*u + 12 = -4*u - 4*r, -u + 10 = -2*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.06 (c) -1\/3 (d) -1 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.13 + 0.03. Let i = x - -5.1. Let m = -66.5 + 66. Which is the second smallest value? (a) i (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2022959 and -2022961 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {d: 1, f: 3, q: 7, u: 4, a: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmmhhmmemhh. Give prob of picking 1 m and 1 e.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/((-8)\/144). Let v = u + 9. Solve -3*l + 12 = -v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3332 (base 11) to base 4\nAnswer: 1010213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.7. Let t = -1.3 + g. Let r = t - -0.7. What is the nearest to 0 in -1, r, -3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 10*o + 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*10\/(-60))\/(8\/330*-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -489 - -473. Let b be ((-4)\/6)\/(n\/(-6) - 3). Sort 2\/3, b, -4.\nAnswer: -4, 2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 - (5 + -5) - -1. What are the prime factors of 6507\/k - (-1)\/7?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 + 11*a**4 + 33*a**2 + 5 wrt a?\nAnswer: -60*a**2 + 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5925412954 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 63 (c) -0.24226 (d) -0.3 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -10 - (-2 + 0 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 23. Suppose 4 = -t*j + 26. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1435\/(-80) + 18)\/((-3)\/(-8))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*g - 17, 3*g + f + 0*f = 32. Let k(y) = 220*y + 35. Let x be k(g). Let l = x - 8011\/4. What is the common denominator of 21\/8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 7*w**2 - 128*w**4 + 112*w**4 - 11*w**2 + 19*w**2 to y*w + b + f*w**2 + n*w**3 + p*w**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2) + 7\/7. Let b be s\/2*(-2)\/13. Let y = -27 + 53\/2. What is the closest to y in -2\/3, 1, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 32 = 4*y + 13*l, 2*y - 5*l + 19 = 0. Suppose -y*v = -2*o, o = -o + v. Solve o = n - 4 - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 45*j**2 + 20*j - 11. Let h(s) = 22*s**2 + 11*s - 6. Let y(x) = -11*h(x) + 6*i(x). What is the second derivative of y(w) wrt w?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11951 - -17866. Suppose y = 5*a - u, 7*a + 2*y - 1172 = 6*a. What are the prime factors of a?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -21*j - 80. Is a(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 2*o**3 - 2*o**3 + 9*o**3 - 4*o**3 - o**4 + 1 as y*o**4 + t + w*o**2 + l*o**3 + s*o and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 13 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 171366 divided by 28561\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -267*y. Let z(g) = -35*g - 1. Calculate p(z(n)).\nAnswer: 9345*n + 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)\/(o**(-1\/4)*o)*(o\/((o**(2\/11)*o)\/o))**(1\/34) assuming o is positive.\nAnswer: o**(-4283\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -79 + -950?\nAnswer: -a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-9)\/(-54))\/((-3)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 f when four letters picked without replacement from {i: 1, y: 2, f: 7, u: 8, m: 2}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = -9*j. Solve 0*b + 5*b = -j*k + 6, -4 = 3*b + 5*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, -2\/5, -0.38, 5.\nAnswer: -2\/5, -0.38, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(5445) + sqrt(5445) + 1 + sqrt(5445))**2 + (3*(sqrt(5445) + 0 + sqrt(5445)) - sqrt(5445))**2 + 4)*-5*-6.\nAnswer: 23760*sqrt(5) + 5554500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 17. Let a be (z\/21)\/(6\/(-28)). Suppose 0 = -a*f - 5*s + 17, 5*f = f + 4*s + 8. Solve -b - 12 = f*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/8 - (-1425)\/456\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9412917 - -16012922. Suppose 0 = 4*l - l + 5*b - u, b - 6600001 = -3*l. Round l to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 21 = -20*k. Suppose -7951 = -3*b + y, -3*y = -0*y + k. Round b to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*k**2 - 7283 - 10*k**4 + 7283 wrt k.\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*o - 4 = -0*y, 14 = 4*y + o. Suppose -i + 5*z = -141, -2 = -3*z + y. Suppose -q + 2*q - i = 0. Calculate the remainder when q is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3572 = 596*a - 198*a - 304*a for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5122*m + 128404. Determine r(-25).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:01 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcl when three letters picked without replacement from cvqvvzpcqplpcplcqvq?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11357346 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.2. Let y = w - 0.8. Let u = 9339\/20 - 1871\/4. Which is the smallest value? (a) u (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v**3 - 3*v**2 + 2*v - 2. Let q be j(2). Is (-4)\/(-18) - (-13866)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134698 is divided by 64380?\nAnswer: 5938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 - 4. Let b be 38\/(-14) - (-10)\/(-35). Let c be p(b). Let r = c + -29. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -2)*1*2. Let k(c) be the third derivative of c**6\/120 + 11*c**5\/60 - 11*c**4\/12 - 13*c**3\/6 + 71*c**2 + 1. What are the prime factors of k(v)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186603\/4 - -93303\/2. Solve i*l - 1\/4*l**2 + 1 = 0 for l.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15365269*p**2*x**2 + 891*p*x**2 - 2584*p*x wrt p?\nAnswer: 30730538*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(75))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -10011101010101?\nAnswer: -10011101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1118 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(17) + -1 + -1 + sqrt(17) + -4 + sqrt(272).\nAnswer: -8 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 22. Let b = 18 + y. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*g**6 + 2 - 111744*g**3 - 111743*g**3 - 54*g + g**6 + 223489*g**3 + 5*g**2 + 379*g**5 wrt g?\nAnswer: 120*g**3 + 22740*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 2*k + 4*k + (3*k + k - 6*k)*(3 - 4 + 3) - 2*k + 4*k - k - 2*k - 7*k - 5*k - 17*k + 21 - 21.\nAnswer: -33*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -16*d - 1. Let i = 89 - 88. Give r(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 16. Let u = s + -7.93. Let f(z) = z**2 - 5*z - 9. Let v be f(6). Which is the closest to u? (a) 0.3 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from wmmmmmwmmm?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (7 - (-9)\/(5 - 4)). Calculate the greatest common factor of 4972 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17474716 is divided by 4533.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 - 5*c + 9. Let q be (-3)\/3 - 1 - (-16)\/(-4). Let m be p(q). Factor -y**2 - 1\/2 - 1\/2*y**5 - y**m + 3\/2*y + 3\/2*y**4.\nAnswer: -(y - 1)**4*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2343 + -2343.6. What is the nearest to v in 1\/3, -0.7, -1\/6, -0.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 88*q + 4. Give n(44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r - 72 = -93*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2645 divided by 7.\nAnswer: -2645\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -579095155650141 and 3.\nAnswer: -579095155650138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*g**2*j**3*p*y + 3*g**2*j**3 - 2*g**2*p - 89*g*j**3*p - 2*g*j**3 - g*j*y - 3*j*p wrt g.\nAnswer: 310*j**3*p*y + 6*j**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 1, c: 5, h: 1, o: 2}. What is prob of picking 1 t, 1 h, and 1 c?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-2)\/4)*(-22 + 24). Suppose 2*c + 2*i = -c + 4, 2*c + 2*i = 0. Sort -4, z, -18, c in descending order.\nAnswer: c, z, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:23 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose -r*o + 60 = -118. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*b - 143*b + 450 = 0. Solve -b*g = 350 - 375 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -83. What is the highest common divisor of 28 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.1, -1\/9, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3 + 1931395*c**2 - 10294617*c wrt c?\nAnswer: 6*c + 3862790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/281 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 252*l**2 + 3109*l + 478. Calculate r(-239).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95.84 - -99.84. Let x = 5 - 4.9. Let h = -274\/3 + 93. Which is the nearest to x? (a) -0.3 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164*z**2 - 2620*z - 64.\nAnswer: 4*(z - 16)*(41*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 3*k)*(27 + 20 + 0).\nAnswer: 47*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/163 or -1?\nAnswer: -29\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = -10. Let n(q) = 7*q**2 + 1. Let y(l) = 4*l**2. Let f(u) = z*y(u) + 3*n(u). What is the first derivative of f(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*y - 64*i + 67*i, 0 = -3*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 5*z**2 - z - 5. Suppose 34*o + 34 + 80 = -56. Let a(k) = -k**3 - k**2 + 1. Determine o*a(u) - y(u).\nAnswer: 3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 8\/14) + 10478\/182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65653780, 65653763, 65653746, 65653729?\nAnswer: 65653712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l - 998. Let z(a) = -4*a - 1000. Give -2*w(j) + 3*z(j).\nAnswer: -2*j - 1004","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**6\/45 + z**4\/18 + 3*z. Find m such that r(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 67?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*1 - sqrt(363))\/sqrt(11))\/(5*sqrt(11)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4360 and -75.\nAnswer: -4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -14. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - 31 - (6 + 19 + -20))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 480 or 56553?\nAnswer: 56553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -60. Suppose -3*w + 3192 = 3*j, q*j - w - 739 - 3502 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.8 - -8. Let u = -501\/2 - -249. Which is the biggest value? (a) u (b) t (c) -1\/5 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = -3*k + 16, 2*k = 4. Let i(p) = 1. Let x(w) = 43*w. Let g(b) = 2*i(b) + x(b). Is 22 a factor of g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 10*f**7\/7 - 34*f**3\/3 - 15. What is the third derivative of m(l) wrt l?\nAnswer: 1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f*f*f*f**(-4\/5))))\/f**9*f**3\/f**11 assuming f is positive.\nAnswer: f**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 (base 14) in base 10?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3818 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/7, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(192)\/sqrt(4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03197 - 0.03197. Which is the closest to z? (a) -2\/3 (b) 0.9 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(66\/11)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -238 - -2620\/11. Suppose 4*m - 12 = -0*m. Suppose -t - 2*t = -m. Is y less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/396 and -121\/20.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a + 9. Let z be f(-5). Suppose -4*u + 5 = -3*s, 2*s + u + 3 = 7*s. Sort -4, s, z in ascending order.\nAnswer: -4, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/16800 and -137\/168.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1812*k - 105990 + 271757 = 1628*k - 119753 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-3 - ((0 - 3 - -4) + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 293627499 and 46695.\nAnswer: 9339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (16 + -13)) + 4 + 2 + 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -597*q**2 + 94*q + 184. What is y(-2)?\nAnswer: -2392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*y**4 - 1\/2*y**3 + 1\/4*y**5 + 1\/4*y - y**2 + 1\/2 = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 4. Let l be p(-4). Is 77 + 2\/6*l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-139 + -2)\/(5 + 26\/(-4)). Let m(f) = 2*f - 111 + f + w. Calculate m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 135 = 23. Suppose 2*h = 4*d + x, 14 = 3*h - 3*d - 13. Suppose -20 + 3 = t - 4*a, 20 = 4*a. Which is greater: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165531\/2 >= -82765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - 3*j**3 + 5*j**3 + (-4*j + 0*j + 0*j)*(-69*j**2 - 1 + 33*j**2 + 37*j**2 - 25*j) to the form h + y*j**2 + u*j**3 + f*j and give y.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 297478957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188997*w + 188997*w - w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 1. Let b(d) = d**3 - 8*d**2 + 8*d - 5. Let h be b(7). Suppose h*s - 4 = -0. Calculate the highest common factor of s and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32386463 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 + 0.03. Let x = 0.04 + o. Let b = -0.03 + x. Which is bigger: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23160 and 140?\nAnswer: 162120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 53*q - 277 - 163 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*3\/(9\/(-6)). Suppose 0 = -v*f + 4. Suppose f = l - 9. Calculate the greatest common divisor of 77 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*x + 35*x - 1 + 0 + (0 + 0 + 2)*(-x - 4 + 4) + (2*x + 3 - 3)*(4 + 1 - 6) as i*x + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 2. Let p be d(4). Calculate the greatest common factor of 25 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - j - 650 = -662, 11 = -t - 2*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22935448 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1414543673 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -26 - 25) + -27.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -24. Let c = 52 - a. List the prime factors of 2\/9 + 172\/c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*h - 24 - 20, -2*w + 59 = h. Factor -56 + w - 7*t**2 + 34 - 19*t.\nAnswer: -(t + 3)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-1)*(-264)\/352?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 30*d - 186. Let w be p(22). Let s(j) = -j**3 + 5*j**2 + 6*j + 2. Let b be s(6). Put b, w, 5, -2 in decreasing order.\nAnswer: 5, b, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 17*r**2 - 15*r + 15. Let b be o(-16). Let i be (0 + b)\/(5 + -4). Let g = 0.1 - -0.9. What is the biggest value in i, g, -4\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8757, 307, 83 in descending order.\nAnswer: 307, 83, -8757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38722004 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*j**4 - 2880*j**3 - 29056*j**2 - 119808*j - 173056.\nAnswer: -4*(j + 4)**2*(5*j + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177 - 169. Does 32 divide -4*((-1070)\/n + 18\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663772060 + 3584227940 = 16*o. Round o to the nearest one million.\nAnswer: 266000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -44661620?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63120 and 162242070?\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.865 + 0.883742. What is t rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 816\nAnswer: -652.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464936 divided by 1?\nAnswer: 2464936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*o - 85*o = -344. Which is the nearest to o? (a) 2\/5 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415228833?\nAnswer: 3, 967, 47711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:32 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5466.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3685227 rounded to 4 dps?\nAnswer: 0.3685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -56609.99 rounded to the nearest 100?\nAnswer: -56600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7420135 is divided by 151?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -12. Suppose -w*m = -3 - 1. Calculate the smallest common multiple of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1353*i - 926*i + 17080 = 0 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17423296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4395954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 + 2*w - 2 + 98*w**3 - 3 - 100*w**3 + 2 + 2*w**2 to the form g*w**3 + v*w**2 + s*w**4 + r + t*w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*r + 37 = -3347 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8104 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 15*v = 47*v + 456 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -431 divided by 1?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2)*(0 + 4 - 1)*(-n + 0*n + 2*n)*(3 + 6 + 0)*(-2 - 3 + 3)*(-7 + 14 - 1) as b + q*n and give q.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -0.2, 0.2, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1084850 and 0.08.\nAnswer: -86788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221221021 (base 3) to base 4.\nAnswer: -113311213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 12*y + 11*y - 1950617 + 1949177 = 0 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 9*k**2 - 2*k - 1. Let u be r(-6). Suppose 4*c = 2*v + 142, u = 2*c + 2*v + 39. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*m - m. Let p = -15\/4 - -3. Is p > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -924 by 84.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 336\/70 - (-8)\/(-10). Let z be -3 - -13 - t - 2. Put z, -4, 8 in decreasing order.\nAnswer: 8, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 3.83.\nAnswer: 11.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w + 5*w + 2*w**2)*(3 - 3 + w**3).\nAnswer: 2*w**5 + 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43169591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54033.2 + -54033. Let q = -0.8 + 3.8. Let u = q + -2. What is the closest to 1\/3 in p, u, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/27 and -22\/307665.\nAnswer: 307665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*s = 56*n - 171 - 26, 8 = -n - 5*s - 97 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 19 - 5 = 0. Let b(v) = -10 + 4*v + l - v + 4. Let d(h) = -h**2. Determine d(b(y)).\nAnswer: -9*y**2 + 18*y - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12761, 25535, 38321, 51119?\nAnswer: 63929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 948253727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 16*g**2 - 17*g + 78. Give y(-17).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/13 + 480\/(-260). What is the common denominator of 3\/4 and (-156)\/8*p\/54?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44886 or 80?\nAnswer: -44886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38176406 divided by -5.\nAnswer: 38176406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31186*h**5 - 145*h**3 + 49535818*h**2 wrt h.\nAnswer: -1871160*h**2 - 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 v when four letters picked without replacement from vvvvvivvviiavvvviaav.\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - p + 1930062, 0 = 5*w - p + 870995 - 4087757. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba (base 12) in base 15?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -10)*2\/4. Let v = q - -7. Find a such that 4*a - 3*a - a**3 - 2*a**v + 2 + 0 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 240878 (c) -0.4 (d) -1\/6 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 108.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111651 or -111652?\nAnswer: -111651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 11963187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2108 and 8934061.\nAnswer: 1107823564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 505, 1110, 1939, 2986, 4245?\nAnswer: 5710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 13*n**2 - 22*n + 25. Calculate q(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-14))\/(13*(273\/338)\/21)*-1\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4286*c**2 + 146*c + 134*c - 280*c in the form j*c + v + k*c**2 and give k.\nAnswer: -4286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12242 - -120303?\nAnswer: 133100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 107, 145, 173?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 4. Let d be o(-2). Suppose 16 + 8 = -d*r. What is the units digit of r*2*(-3 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 927, 1763, 2481, 3081?\n\"Answer: -59*g**2 + 1013*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - a = 2*a - 14, -5*n - 2*a = 54. Is (-1788)\/n*(-5)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84172106 divided by -945754?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luiulll. What is prob of picking 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.98, 2, -0.04899 in ascending order.\nAnswer: -0.98, -0.04899, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -1, 2, 34247 in increasing order.\nAnswer: -1, 2, 48, 34247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*p + 25*p - 11*p**3 - 21*p - 7 - 94*p**3 - 8 wrt p?\nAnswer: -630*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5029463 is divided by 11353.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13471\/(-209) - -16 - (-30)\/(-55).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15031.785 and -0.22.\nAnswer: -3306.9927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 7*t**2 + 12*t - 33. Calculate the remainder when k(7) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8\/21137 + 16042847\/359329. Let h = -17293\/374 + q. Let u = -792 + 1533\/2. Calculate the common denominator of h and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486923047.\nAnswer: 13, 59, 634841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 685 divided by 5.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-1*(-1 - 1)). Suppose 33 = 2*l + k*a, 3*l - 4*a = -a - 3. List the prime factors of (-19)\/(-3) + l\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7029)\/710)\/(33\/72*-2)\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -99591614 less than -0.08?\nAnswer: 99591613.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 357, 358, 359, 360?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2481 + 2*l - 7*l - 63*l**2 + 2488 + 5*l**2 wrt l.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 729 and 38157318.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026865328 to three decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71587409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*f + 301*f + 21110 = -13371 - 10319 for f.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 3*n = 45*f - 58*f + 18, 5*n + 40 = -5*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12705 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -i - 14, -2*q = -5*i + 1 - 8. What is the hundreds digit of (-5883)\/q - 3\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 81\/5*s**3 + 0 - 1\/900*s**6 + 3\/50*s**5 + 0*s - 27\/20*s**4 + 26*s**2. Factor x(h).\nAnswer: -2*(h - 9)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1249206, 1249143, 1249080, 1249017?\n\"Answer: -63*y + 1249269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 35. Sort 0.5, 0.3, b in ascending order.\nAnswer: 0.3, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 22*x**2 + 23*x - 6. Let t be c(-23). Let j be (-10 - t)\/(-1 + 0) + -2. Let f be j\/4*4*28. What is the highest common factor of 42 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -4\/21*m**3 + 0*m**4 + 18*m**2 + 1\/210*m**5 + 0*m + 0. Factor r(p).\nAnswer: 2*(p - 2)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -1140?\nAnswer: -113c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1588, 12635, 42608, 100963, 197156?\n\"Answer: 1576*l**3 + 7*l**2 - 6*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562 > 1551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-34) - ((-4)\/((-1632)\/(-4292)))\/((-4)\/24).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000 - 101000111010110000000?\nAnswer: -101000111010111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27103, 2\/5, 5 in increasing order.\nAnswer: -27103, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6616489.\nAnswer: 11, 113, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*q + y - 22260000, 4*q - 44520000 = 5*y. What is q rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = 122*u - 185*u. Solve 4*j = 7*x - 10*x + 8, -3*j + u*x = -27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from {q: 2, r: 1, a: 1, f: 1, k: 1, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/20 + i**4\/6 + 7*i**3\/6 + 43*i**2\/2 - 98*i. Is a(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -271 in 1\/8, -2\/7, 0.15, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, d: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11878 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107783 is divided by 1542.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 68, -4, -5, -144, 5 in ascending order.\nAnswer: -144, -5, -4, -1, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00596361177 rounded to six decimal places?\nAnswer: 0.005964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2939)\/11820 + 2\/8. Let q = 180311\/41370 - h. Find the common denominator of -57\/8 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3) + -2 + sqrt(192) + -2)**2 + 4.\nAnswer: -108*sqrt(3) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -83*f + 82*f + 8, -74 = 10*m - 25*m - 20*m - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208188.\nAnswer: 2, 41, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 11*c**2 + 29*c - 27. Let n be g(8). Suppose n*u - 198856 = 136024. What is u rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 1. Let k be c(1). Suppose 0 = k*j - 0*j. Solve 5 = 5*i - j*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f**3 + 6*f**2 - 9*f - 9. Let a(x) = -5*x**3 + 3*x**2 - 4*x - 4. Let h(g) = -9*a(g) + 4*s(g). Find the third derivative of h(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1267*g**4*v - 37*g**4 - 12*g*v - 4259*v wrt g.\nAnswer: -15204*g**2*v - 444*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59.672 - 60. Let f = -2 + 1.8. Let v = a - f. What is v rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/224*91 - 4. Let j(t) be the first derivative of -b*t**4 + 0*t + 1\/2*t**3 + 7\/8*t**2 - 21. Let j(n) = 0. Calculate n.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466257, 466265, 466279, 466299, 466325?\nAnswer: 466357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from eegeeebhg.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36706*v**5 + 5*v**4 - 120*v**3 + 91230*v**2 - 440*v?\nAnswer: 2202360*v**2 + 120*v - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let c(f) = 5*f + 21. Let p be c(-4). Let u(m) = 21 - 3 + 5*m - p + 2*m**2 - 16. What is -3*q(n) + u(n)?\nAnswer: 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*m + 8 = -6, 0 = -4*r + 4*m + 12. Suppose -r = -b - b. Let a be (2\/5)\/((-1)\/5). Put b, -5, a in descending order.\nAnswer: b, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 minus 2541056?\nAnswer: -2541055.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n. Let c(t) = t**2 + t + 1. Let q be c(n). Calculate the remainder when 40 is divided by 14*(q + 1 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*w - 48, 4*b - 11*b + 250 = -32*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(((-9)\/(-6))\/(3\/4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -67, -142, -287, -526, -883, -1382, -2047?\n\"Answer: -4*l**3 + l**2 - 4*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - z - z + (1 - 1 + 1)*(z - 3*z + 4*z) + (-35*z + 89*z + 3590 - 3586)*(3 - 3 + 1) to the form r + j*z and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251175.\nAnswer: 3, 5, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from soyoonone.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*i - 18 = 312*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 + 0 - (-488)\/8. Factor -177 - s*d + 177 - 5*d**2.\nAnswer: -5*d*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -300, -1622, -2954, -4302, -5672, -7070, -8502?\n\"Answer: -j**3 + j**2 - 1318*j + 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 10\/437 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*r + 18, -4*p - 472764 = 2*r - 472776 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 13. Let x = -9 + u. Put -2, 1, x in descending order.\nAnswer: 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -140\/13?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520651 - 334935 = -64*o + 359518. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**8\/s**0*(s**(2\/5))**0*s**(2\/13)\/(s**(1\/4)*s)*(s*s**0)**(6\/25) assuming s is positive.\nAnswer: s**(9287\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2. Let l(w) be the first derivative of 539*w**3\/3 + 1103. Determine o(l(d)).\nAnswer: 871563*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1708\/366*(-3)\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 64*l + 654. Let u be d(-9). Which is greater: -161 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 5}. What is prob of picking 3 d and 1 g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 7*a**3 + 71*a**2 - 8*a**3 + 12 as m*a + p*a**2 + s + v*a**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + 549c3?\nAnswer: 549cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*d - 2*j + 6, 3*d + 1 = 2*j. What is the lowest common multiple of d - (-1)\/(-2 + 1) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27469*y**5 + 2*y**3 + 2*y**2 - 7*y - 124?\nAnswer: -1648140*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18857 + 10300 = 39*h - 873. Does 66 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 363*m - 377*m + 329238. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-964)\/120)*-4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1070051\/2106 + -6601\/13. What is the common denominator of r and -155\/198?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/18*(44\/(-12) + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(7\/6)*p*p*p*p**5*p**7 assuming p is positive.\nAnswer: p**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) -0.35 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8826.\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 16.99. Let z = -400 - -400. Do z and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x - 2. Let n be o(-1). Let z = -12 + 13. Which is the second smallest value? (a) 3 (b) z (c) -1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -21.77. Let h = k - 0.07. Let a = -0.9 - -1. Sort 4, h, a in descending order.\nAnswer: 4, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142774, 285532, 428290, 571048, 713806, 856564?\nAnswer: 999322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 minus 670?\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -675.72 + 675.71898826. What is b rounded to 5 dps?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 233816.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -23 - (4 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*j - 10 = j, -b - 3*j - 10 = 0. Solve g = b*s - 3, 0 = 4*g - 0*g - 2*s + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 33 = u - 4*v, 2*u - 3*v - 23 = 0. Put -2\/9, 2\/3, 2\/11, u in descending order.\nAnswer: u, 2\/3, 2\/11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280600 = -212*a - 32*a. Are a and 1144 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49553030*m**3 + 28395787?\nAnswer: -148659090*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i + 0 - 1\/2*i**2 = 0. Calculate i.\nAnswer: 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 13*s - 2. Give c(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b + 4. Let f be z(2). Let s = -18 + f. Suppose 0 = -i + 3*t + 55, -5*i - 3*t = -s*t - 205. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -13, -24, -39, -58, -81, -108?\n\"Answer: -2*b**2 - b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 23*f**2 - f - 1. What is the remainder when 174 is divided by d(-23)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.496602 + 0.5052. What is l rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01736458182 to 6 dps.\nAnswer: -0.017365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -4 + -1)\/2. Suppose 2*k - 5*j = 25, 0 = 3*k - 6*k + 4*j + 20. Let b + 1\/5*d**3 + 0*d + k*d**2 = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Let u be (k - 1) + (-2 - -4). Factor -3*y**2 + 2*y**3 + 5*y**u + 0*y**3.\nAnswer: 2*y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwyywwmmywww. Give prob of picking 2 y, 1 f, and 1 m.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Suppose s - 6*s = -2*p + 330, 5*p = -t*s + 759. Suppose -6*l + l + p = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87318 - -50682. Round h to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.47 + 1.33. Let n = d - 46.86. What is the second biggest value in 0.1, n, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:13 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = -0. Let r = 3 + u. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 7*p**2 - 65 + 133 + p - p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2 - 11. Let v(o) = -o + 8. Let s be v(4). Suppose 0 = 4*b + m - 9, u*b + s*m - 3 = 4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -38423*k - 48. Let g be s(4). Let t = 360740 + g. What is t rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6 + (1 - 3 + 0)*(-3 + 0 + 2) - 3 + 0 - 7)*(270*b + 17*b**2 - 270*b)*(3*b**2 - 5*b**2 + b**2).\nAnswer: 119*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + 1 + sqrt(175)*2)*2 + 2)**2 + (sqrt(70) + 1*sqrt(70)*-2)\/(sqrt(10) - -3*sqrt(160)) + -4.\nAnswer: 3119*sqrt(7)\/13 + 6312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -220*h**2 - 22881*h + 17. Determine b(-104).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -59*m**2 + 17*m - 23. Let c(s) = -10*s**2 + 3*s - 4. Calculate 34*c(o) - 6*h(o).\nAnswer: 14*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**2 - 7*g**2 - g**2. Let w(j) = 20*j - 38*j - 3 + 21*j + 3. What is w(b(i))?\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/2 - ((28\/4 - 11708) + -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 14*m - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 27. Calculate g(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 11*m**2 - 9*m + 10. Let n be t(-10). Suppose -h + n*h = -7. What is the least common multiple of 2 and 0 + h\/((-21)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/3 + 1028*a**2\/3 + 114110*a\/3 - 649900 = 0.\nAnswer: -335, -194, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 11*t - 7*t = -4, -4*s + t + 1 = 0. Solve 0 = -4*y + 2*k - 22, 2*y + s*k + 4*k = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51\/35, -1, -1\/4, -5 in increasing order.\nAnswer: -5, -51\/35, -1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755922356.\nAnswer: 2, 3, 48775621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -19. Suppose 8 = -2*g - 2*g. Let t be g*((-39)\/21 + 2). Sort t, p, 1\/7 in increasing order.\nAnswer: t, p, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -561 - -586 - (18 - -2) - -38?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-50)\/(-12) + 0 + 7\/(-42). Sort 1, 8, w, -4.\nAnswer: -4, 1, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*(-1)\/2*1. Let x be z\/(0 + -2) + -67. Let i = x + 116. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 58, 1\/5, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1366*r**3 + 7*r**2 + 7*r + 13. Let d(o) = 911*o**3 + 5*o**2 + 5*o + 9. Calculate -5*c(j) + 7*d(j).\nAnswer: -453*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2674 + -2666. Let m(g) = -g. Let w be m(-3). Solve -n + w = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 - -361 - (164 - 2) - -15.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/7)\/g))\/(((g\/(g*g**(1\/7)*g*g))\/g)\/g))\/((g*(g*g*g**5*g)\/g)\/g**(-6\/7)) assuming g is positive.\nAnswer: g**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 0 - (0 + 25) - -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/3 - 4\/78. Let b = 31\/156 - f. Suppose 0*m - 3*m = 0. Is b > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2\/4337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 1 + (41 - 54) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2200 - -5?\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1013, -2025, -3037?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/360 + 2*f**5\/9 - 50*f**4\/9 - 35*f**2. Factor p(s).\nAnswer: -s*(s - 20)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2497\/(-588384)*72*6\/1.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*j + 3, -l = 3*l + 3*j - 32. Suppose -4*b + 4*z - 4 = 0, l*z - 8 = 7*b - 3*b. Solve -4*g + 3*s = -13 + 3, -2*s = -b*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 + 4*p - 3. Let l be n(3). Suppose m + l*m + 2*s - 2 = 0, s - 5 = -m. Is 10\/((-20)\/m + 3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*(((m\/m**(1\/11))\/m)\/m)\/m)\/m*m)\/(m\/m**(18\/7)))**49 assuming m is positive.\nAnswer: m**(798\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4489 = -951*s - 9244 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -8. Is 2 a factor of (1 + -2)\/(2\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 15*s - 18. Let c(u) = 1. Let d = 379 + -397. What is d*c(f) - n(f)?\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.361187t?\nAnswer: 6361187000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-8) - 1)\/(424\/30 + (-371772)\/26940)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2 + h + 2. Let m(v) = v**3 - 11*v**2 - 2. Let s be m(11). Let x be c(s). Is x\/8 + (-717)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -1. Suppose u + 3*u = c. Let z be (u + 3899)*140\/(-6). Round z to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -27468\nAnswer: 11\/27468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219885 - -220004.0355. Let b = i + -119. Round b to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17200 = 4*w + 2*s - 2470, -2*s = w - 4910. Suppose 0 = 5*d + 5*h - w, 1871 = 4*d + 2*h - 2063. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13905 minus 4?\nAnswer: -13909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3 = -y, -y - u = -1 - 1. Let h be (18\/3)\/(0 + y). What is the third derivative of 6*q**2 - 3*q**2 - 6*q**6 - 2*q**h wrt q?\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) 15 (c) 0.09 (d) 393 (e) -3\/2 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.3, -3\/2, -2\/11, 106006 in descending order.\nAnswer: 106006, 18.3, -2\/11, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -438 + 435. Let g(f) = 2. Let h(q) = -q + 5. Give l*h(j) + 7*g(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1776\/1110*(-3005)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 66*u**2 + 79*u + 203. What is n(-34)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 8*j. Let l be (-1)\/(-4) - 443\/(-4). Let x = 114 - l. Calculate the remainder when 56 is divided by y(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12874139 + -187174139. Round c to the nearest 1000000.\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10b4 - 3?\nAnswer: -10b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3034 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 157\/67?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97 and 3?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**6\/120 + r**5\/60 + r**4\/6 - r**3\/2 + r**2. Let d be y(2). Solve w + d = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 2*h**2 - 4*h**2 + (-7*h**2 + 26 - 26)*(-1 + 3 - 1) + (-3*h + 4*h - 2*h)*(h - 2 + 2) - h**2 - 1 + 1.\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131845 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -360520 divided by 72104?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006685905 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -66488 (base 16) to base 4\nAnswer: -1212102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13967\/327530 + -1\/4679. Find the common denominator of (-658)\/120 - 6\/9 and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 3 + -9 - (6 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 + 7*a**5\/30 + 2*a**4\/3 - 19*a**3\/6 - 3*a**2 + 2*a - 454. Suppose -18 = -5*p + 57. Give f(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**5 + 16447*z**3 + 84822*z?\nAnswer: 40*z**3 + 98682*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -674.7917 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29904 and 126.\nAnswer: 89712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 1. Let m be 2\/(2 - 0) - 6. Let i(o) be the third derivative of o**4\/4 + 5*o**3\/6 + 82*o**2. Let j(q) = m*p(q) - i(q). Give j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 6*f - 3*f. What is the lowest common multiple of 30 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 128 = 14. Suppose -4*l = 4*o + 4, -3*l = -2*o - l - b. Sort -7, -5, o.\nAnswer: -7, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6871 is divided by 66.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Let o(h) = -h**3 + 6*h**2 + 4*h - 1. Calculate the remainder when o(s) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6698749783\/126 + 53164302. Let y = 3374\/9 + u. What is the common denominator of 71\/6 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**18)**(13\/4) assuming w is positive.\nAnswer: w**(247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 1. Let q be g(-5). Suppose -w + 18 + 80 = 0. Suppose 3*i - 106 = -4*s, i + w = 3*s + s. Solve -f - s = q*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0 = -5*q - 8, 4*c = 4*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5\/(-20) + (-138)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267378323 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/88 - (-1772)\/2480 - 1\/(-10)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 3*f**2 + f - 2. Determine i(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13202403 (base 5) in base 15?\nAnswer: -28ed8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 8*z + z**2 + 112*z**2.\nAnswer: 113*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11547, 12637, 13725, 14811, 15895, 16977, 18057?\n\"Answer: -y**2 + 1093*y + 10455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -312 and 288.2284962.\nAnswer: -23.7715038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 2848901?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 18*y**2 + 30*y - 30. What is the least common multiple of 12 and i(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.91 (b) 24 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69651440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgwwrwrgwgrgrg. Give prob of sequence rgrr.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16*r. Let k(y) = -y**2 + 9. What is k(l(o))?\nAnswer: -256*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15816 - 612 = -942*d + 1470 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 2*n + 0*n + 2*n - n + (2*n - 3*n + 2*n)*(-2 + 0 + 4) + (6 - 6 - 5*n)*(1 + 1 + 0))*(-1049*n + 512*n + 369*n).\nAnswer: 1008*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/627132 and 59\/114024?\nAnswer: 1254264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - (-15 - (-7 - (-1 + -1))))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-61 - (63 + -149)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/36 + (-112)\/(-18). Let u = 6 + s. Let p be 4 - (u\/(-3) - -2). Solve w + w + p = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12574 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*a**3\/4 - 14*a**2 + 23*a - 12.\nAnswer: (a - 2)**2*(11*a - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81\/5, -0.3, -31\/891.\nAnswer: -81\/5, -0.3, -31\/891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 - 2472*f**3 - 52612*f**2 - 97824*f - 47680 = 0 for f.\nAnswer: -596, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 729002614 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 2*q - 3*q)*(159*q - 263*q - 691*q - 415*q + 97*q) to s*q + f + m*q**2 and give m.\nAnswer: 1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*q + 33 - 59, 0 = -7*i + 4*q + 52 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a factor of 1165800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2789, 5635, 8455, 11237, 13969, 16639, 19235, 21745?\n\"Answer: -2*j**3 - j**2 + 2863*j - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10 - ((-172)\/(-15) + -13).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:18 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6517 divided by 2\nAnswer: 6517\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -9) + -14 + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-130) - 3\/(-5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-6))\/(11\/561)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22226840.043 minus 1499?\nAnswer: 22225341.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3 - 4 - 4 - 11*j + 6*j**3 - 4*j**2. Suppose 22 + 95 = q. Let s(k) = -3 - 2*k**2 + 3*k**3 - 250*k + q*k + 127*k - 3. Determine 6*l(r) - 11*s(r).\nAnswer: 3*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/5, 1398, -3\/23 in descending order.\nAnswer: 1398, 4\/5, 0.3, -3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 66.08. Let m = 0.42 - p. Which is the third biggest value? (a) -1 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*c**2 - 89*c**3 + 49 - 6*c**3 - 31*c**3 - 103*c**2 wrt c.\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -312.491 and 0.7.\nAnswer: -218.7437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -81*l**3 + 85*l**2 + 42*l + 17. Let j(x) = 27*x**3 - 30*x**2 - 14*x - 6. Determine 17*j(p) + 6*q(p).\nAnswer: -27*p**3 + 14*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, -1\/3, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5)\/((-2)\/10). Let k(o) = -3*o + 3*o**p + 2*o**2 - 1 + 1. Calculate the remainder when k(2) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -7 (c) -0.5 (d) -4 (e) 0.097 (f) -3182\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 6) to base 5\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*y**3 - 39*y**2 wrt y?\nAnswer: 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 257*u + 11. Let c be h(1). Suppose -703*j + c = -701*j. Sort 4, 2, j.\nAnswer: 2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2940 + -42)\/(1 + (-1 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 5, -1\/8, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7)\/(17 + 140\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11527950 and 5.\nAnswer: 11527950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32318, 32507, 32696, 32885, 33074, 33263?\n\"Answer: 189*h + 32129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 4*n = 12*o + 3, 4*o + 2*n + 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/111 in 2, -20.62, -181?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - g + 9. Let t be a(0). Suppose -l = -4*z + 11, -2*z = -4*l - 0*l + 26. What is the highest common factor of l and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 3*m + 4*a, 6*m = 7*m - 5*a + 37. Are m and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124 a factor of 14808281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = 8. Suppose o**2 - r*o**3 - 5*o**3 - 2*o**4 - 9*o**2 = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1490*y + 4 + 5488*y.\nAnswer: 6978*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-87)\/(-145)*10\/3. Suppose -a*x + 101 = -m + 327, 5*x = 3*m - 673. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-40))\/((-2)\/5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -1.9. Let d(p) = 3*p**2 - 41*p + 126. Let u be d(5). Which is bigger: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -40. Suppose -4*h - 20 = w, 0 = -5*u + 4*h + 31 + 4. Solve u*x + 8 = 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -20 (b) 33 (c) 2414\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2.8. Let s(c) = -2*c - 14. Let v be s(-8). Let u = 10 + -7. Put u, d, v in increasing order.\nAnswer: d, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 - w - 15. Let m be l(0). Suppose -5*v - 9 = 16. Let g = v - m. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(240\/96).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 285 - 284.8. Let m = -29.6 + p. Round m to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/290 and 1\/5?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/6221?\nAnswer: -4\/6221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 - 5*i - 11. Let f(z) = -27*z**2 + 26*z + 56. Let t(m) = 2*f(m) + 11*v(m). Let j be t(5). Solve -j - 4 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (7 + -7)) + (53 - 35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -0*z. Suppose 4*v = z*v + 40. Suppose -b + v = 3*w + b, 0 = -2*b + 2. Solve 0 = -2*x - 16 + w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 7*k + 10. Let g be 372\/52 - (-36)\/(-234). Let n be f(g). What is n rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, 66, 128 in decreasing order.\nAnswer: 128, 66, 18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 11*p + 196 = -7*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27841\/(-32903) + (-20)\/(-26) + 68\/546.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - s = 17, 51 = 4*b - 108*s + 105*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6839518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15043 - 5?\nAnswer: 15035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197842962 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: Four letters picked without replacement from xxxxxxjxxxj. Give prob of sequence xjjx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*z - 5*a + a, -4*z - 20 = -2*a. What is the common denominator of ((-25)\/(-3) + 3)\/z and -41\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 bigger than -8.9372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/8)\/((-5)\/(-132155)) - (-201)\/(-268). Is c at least as big as 6606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/127300 and 23\/38190?\nAnswer: 381900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80 + 3*v**3 - v**3 - 9*v**2 + 207*v**2 + 67 wrt v.\nAnswer: 6*v**2 + 396*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.62, -240500, -5\/3 in decreasing order.\nAnswer: 0.62, -5\/3, -240500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b (base 14) to base 3.\nAnswer: -22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2286 - -2276. Sort 4, 16, q in increasing order.\nAnswer: q, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - w - 3. Let t be l(0). Suppose -4*c + 23 = x, -4*c + 3*c = x - 8. Let j = c - t. Calculate the remainder when 23 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109265 is divided by 54627?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -11 + (1 - (-15 - -13))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 321 - 327. Let s(b) = 2*b + 3. Let z(m) = -6*m - 9. Let v(y) = -11*s(y) - 4*z(y). What is v(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*((a\/a**(-2)*a)\/a)\/a*a*a)\/(a\/(a\/a**(-2\/7))*a))\/(a*a**3*a*(a*a\/a**7)\/a*a))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 32*i - 6. Let w be v(-38). Let c = -119 - w. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/160 - (-3)\/12) + (-57)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f + 85*f - 730900. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.1, -1\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796480.\nAnswer: 2, 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 14*m**2 + 12*m - 16. What is r(13)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.55, 0.5, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/525?\nAnswer: -8\/525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 2\/7 (c) -4 (d) 15 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.1 (c) 317493 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = r. Suppose 0*x - r = x. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11538001.\nAnswer: 593, 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 328242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q - 4. Let s be m(3). Let j be 12\/15*(-50)\/(-4). Let b(l) = l**2 - 7*l - 14. Let x be b(j). Calculate the highest common factor of x and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 181, 276, 371, 466?\n\"Answer: 95*c + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13 = -o - 23, 3*o + 18 = 2*l. Solve 4*k + p - 9 = 0, -l*k = -12*k + 5*p + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 1500*x**2 + 83780*x + 211338. Determine p(1554).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 78 - 78 + 156.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1555200, 1555201, 1555202?\n\"Answer: u + 1555199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 121a5a8 + 3?\nAnswer: 121a5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 204.31953us?\nAnswer: 0.000000002364809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00639 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-2)\/(-88))*-1. Suppose -3*b - p + 299 = 0. Let d = b - 59. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -164*x + 11016. What is b(67)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 63 + (0 - 0)\/1. Let s = 80 + -123. Let x = f + s. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/((-3)\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34601 + 5?\nAnswer: -345fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 6241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 + 67*s - 22. Let p be r(22). Let g = -0.48 + -1.52. What is the closest to g in -0.4, 0.1, p, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1468a88 (base 11) to base 4\nAnswer: 21212021231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*w + 3*i, -5*w = -0*w - 3*i - 34. Suppose -3*l + 40 = -41. What is the remainder when l is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/2*((-5772)\/(-780))\/(1\/(-1))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -108274931820619.\nAnswer: -108274931820619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:23 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*q**2*v**2 + 15*q**2 + 8*q*v**2 + 5*q wrt v?\nAnswer: 10*q**2*v + 16*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0 = -5*a - 3, -2*a + 3*o + 3 = 0. Let z be (5 - -4) + -1 + a. Let h be (20\/(-16))\/(2\/z). Let w(p) = p**3 + 6*p**2 + 3*p - 6. Determine w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.20883 - -76.28483. Let h = 76 - b. Is -1\/2 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433906.\nAnswer: 2, 716953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 98\/(-4) + -2 - -1 and (-2)\/(-2)*((-4)\/(-38) - 45468\/3078).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 16*l - 17. Let t be (-98)\/(-5) - (-18)\/(-30). What are the prime factors of i(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*q**2 + 66*q**2 - 9*q + 9*q**4 wrt q?\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/20)\/(((-3)\/(-2))\/((-22)\/(-77) + 1))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8*a = 264. Suppose -a = -n - 4*p, -4*n - p = -3*p - 6. Suppose c + 972 = 4*l, -248 = -n*l + 3*l - c. Is l a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19159 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4983 + 5114. Is r > 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -931*n - 5776. Determine b(-3).\nAnswer: -2983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 10*m**2 + 13*m**2. Let s(x) = 0*x**2 + 0*x**2 - 2*x**2. Determine k(s(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 - 5*g - 7. Let b(p) = 6*p**2 + 4*p + 6. Give -4*b(w) - 3*n(w).\nAnswer: -3*w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7, -0.1, 5, -50\/51?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**2 - 42*r + 4. What is the remainder when 119 is divided by y(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 825 + 392 - 1121 = 0 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -842\/13 + 13979\/208. What is the common denominator of -121\/18 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 - (305 + -267 - (19 - -1)).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 124*o**2 - 12. Determine d(62).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 7 = -t - 4*t, 0 = 4*s + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*-3*80820\/10776.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 10 = -3*i - 1 + 1, 5*b - 72 - 11 = 32*i + 72 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -89\/405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 22 - 21 + 43*o + 59.\nAnswer: 43*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4\/9 + 88*r**3\/9 + 131*r**2 + 2090*r\/9 + 1000\/9 = 0.\nAnswer: -10, -1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c - 23. Let h = c + 26. Let x(d) = d**h + 3*d**2 - 2*d**2 - d**2 + 3 + 4*d. Calculate x(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*((sqrt(1900)*-3 - sqrt(1900)) + 0)*4 + -1)**2.\nAnswer: 960*sqrt(19) + 4377597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 0*w + 3 - 3\/2*w**2 + w**4 + 0*w**3. Find the second derivative of u(n) wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2 + 2 - 135*y**2. Let q(v) be the second derivative of v**4\/6 - 472*v - 12. Give c(q(r)).\nAnswer: -540*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49, -170, -357, -598, -881?\n\"Answer: 2*n**3 - 45*n**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10762029 divided by 1195781?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s. Let y be p(-12). Let r = y - 19. Put 1, r, -2 in decreasing order.\nAnswer: r, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 1568.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437787664530 - 437787664530 - 7*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165592 + 340.\nAnswer: -165252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 - 0.79.\nAnswer: -35.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Is 14 a factor of 4\/(i - 92\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from cce.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1, -4, -45, 3 in ascending order.\nAnswer: -45, -5, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54897949 - 0.1.\nAnswer: -54897949.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64467*l*w**5 - 17221*l*w + w**5 + 22*w wrt w?\nAnswer: 1289340*l*w**3 + 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 201731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-13)\/3 + -1 + 4)*(-6843)\/2 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1116 - 14245?\nAnswer: -13126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {j: 2, w: 3, y: 7}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 9, v: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -101. Let w = -1 + 1. What is the second biggest value in w, v, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 57*r**4 + 117*r**3 + 51*r**2 - 9*r - 12. Let n = -196 - -202. Let v(l) = l**4 + l**3 - l + 1. Let q(x) = n*v(x) + c(x). Solve q(y) = 0.\nAnswer: -1, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -555576*a**2 - 81*a. Let l(o) = o. Give l(t(f)).\nAnswer: -555576*f**2 - 81*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 1.5, -1\/2, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9115.\nAnswer: 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5115884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 5*r - 1. Let k(c) = -9*c**2 - 90*c - 18. Let t(j) = 18*f(j) - k(j). Let v(o) be the third derivative of o**5\/30 + o**2. Calculate v(t(y)).\nAnswer: 162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4471598 kilometers?\nAnswer: 447159.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*r + 2\/9*r**3 + 2\/9*r**5 + 0*r**2 + 4\/9*r**4 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.19 + 8.1907439. What is k rounded to five decimal places?\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + j**3 + 2*j**3 + (2*j - 3*j + 3*j)*(-15 + 15 + 6*j**2) - j**3 + j**3 + 2*j**3.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/54*-18 - (-6 + 1). Solve 4*d + 8 = 4*y, 2*d = -2*d - y - b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -222, -319, -414, -507?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6678.62ml?\nAnswer: 6.67862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221\/89036 + 1251247819\/1068432. Let a = 3500\/3 - i. Let z = 1141\/90 + -8\/45. Calculate the common denominator of z and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 17 = 45 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661 = -s + 663 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*q = 332*q + 216100. What are the prime factors of q?\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 < 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1221 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(672\/192)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -240.7 - -241. Which is the nearest to y? (a) 2\/7 (b) -0.2 (c) 3 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37102 and -1.\nAnswer: 37102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -606280 + 41.4.\nAnswer: -606238.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l = -19074 + 59010. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45932403?\nAnswer: 3, 11, 23, 73, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 673709 and 269823.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29512?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13 = 7. Let d = j + -9\/2. Sort 3\/7, d, 1 in descending order.\nAnswer: 1, d, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27423049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -25. Calculate the least common multiple of 1 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-168)\/(-6))\/((190\/19)\/5))\/(2\/(-5))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 + 0*h**3 - 2*h**3 - 3431*h**2 - 2 + 18*h + 3440*h**2. Let f be k(-5). What is the greatest common divisor of f and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) - (15675\/500 - 31). Let f be (3 + -1)*(-2)\/4. Let i be (-24)\/(-105) + 0 + (-3)\/7. Which is the smallest value? (a) k (b) f (c) 1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2 = i. Suppose 275 = i*q - 419. Suppose -5*n - 3*v + 2*v = -353, 5*n - q = v. Calculate the greatest common factor of n and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/(-588))\/(-1))\/((-2)\/(-14)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14847350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k = -5*z + 54, 5*z = -4*k + 51. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4\/9 - 285856*z**3\/3 + 30648336122*z**2\/3 - 3676461792752*z\/9 + 1194839213984\/3 = 0.\nAnswer: 1, 39, 214372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 23 = -p, 22502*l + 4*p = 22497*l + 127 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0091? (a) -4 (b) 63 (c) 0.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85623.03 microseconds in seconds?\nAnswer: 0.08562303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110533 minus 4.954?\nAnswer: 110528.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:49 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2727996 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, h - l - 5 = -0. Suppose 257 = 3*a - 5*t, 87 = a - h*t + 2*t. What is the highest common divisor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 62. Suppose -p*r + 884 = r. Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -3783?\nAnswer: -3781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 972 and 4032?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 121, 115, 109?\n\"Answer: -6*u + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -207, -3, 15, 191, 1 in descending order.\nAnswer: 191, 15, 5, 1, -3, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 300783265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10513 from -50178.\nAnswer: -39665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 32, -9, 14, 2 in increasing order.\nAnswer: -9, -2, 2, 3, 14, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 199740719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 99146 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*c = -44223 - 1247 + 5654 for c.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 18, -6, -40, -84, -138, -202?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4129541*-2.\nAnswer: 8259082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z + 10. Suppose 3 = -p + 1, 5*p - 342 = z*i. Let w = 119 + i. What is the remainder when w is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakakaaaakak. Give prob of picking 2 k.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-392054941.\nAnswer: -78410988.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 680 times 0.1\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*(-207)\/184*(-48)\/(-90)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**(-11)*(q\/(q*(((q*q\/q**1)\/q)\/q)\/q))**45*(((q**0*q*q)\/q)**(-2\/55))**25 assuming q is positive.\nAnswer: q**(6618\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -7.89, 1 in decreasing order.\nAnswer: 1, -3\/4, -7.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104 (base 5) in base 12?\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7227 divided by -11\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/2 and -94\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woot when four letters picked without replacement from {w: 4, o: 12, t: 4}?\nAnswer: 88\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g - 3*g + 2*g**4 - 5*g + 12*g**3 + 12*g**3 + 0*g + 2 to w*g**4 + y*g + p*g**3 + f*g**2 + o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3915694052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**3*y**3 + 26*d**3*y - 7*d**3 - 10*d**2*y**3 + 4*y**4 - y**3 - 13*y**2 wrt y?\nAnswer: -42*d**3 - 60*d**2 + 96*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132539 - -18025407\/136. Calculate the common denominator of p and -97\/12.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n + 2*n**5 - 5*n**5 + n**5 + (n**3 - 2*n**3 - n**3)*(n**2 + 2*n - 2*n) + 0 + 0 - n**5 + 2*n - 2*n + 2*n**5.\nAnswer: -3*n**5 + 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y**6 - 355908*y**5 - y**3 - 616699*y**2 - 6*y.\nAnswer: -600*y**3 - 21354480*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5108 is divided by 1028.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36080\/4048 + (-2)\/(-23)*1. Let x be (6\/9)\/((-1)\/(-3)). Calculate the highest common divisor of x and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1442 and 1442.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106739989?\nAnswer: 106739989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 - 21.69. Let x = -1.6 - b. Let u = 19.6 - x. Put -0.5, u, -5 in descending order.\nAnswer: u, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -8*a + 763. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/1167 and 31\/389.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 272.9 + -506.5. Round y to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*v = v + 284, -132 = 2*f - v. Let b = 25 - 97. Let l = f - b. Solve -l*g + 2*g - 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 4*q = -17*q - 126 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvbvsvbhvbvbv. What is prob of picking 2 v?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r**2 + 0*r**4 - 2\/5*r**5 + 4 + r**3 - 35*r. What is the first derivative of v(o) wrt o?\nAnswer: -8*o**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1.7, -2\/3, -2, 8131\/50 in increasing order.\nAnswer: -2, -1.7, -2\/3, -0.2, 8131\/50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559 = 79*v + 23*v - 89*v for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -403\/11?\nAnswer: -403\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 18, s: 1}. What is prob of picking 1 s and 1 q?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4060, -4058, -4056, -4054?\n\"Answer: 2*p - 4062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20743 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let w be 30\/10 + 5 + 2. Suppose -20 = -4*v, 20 = -5*n + 2*v - w. Does l = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54100165?\nAnswer: 5, 7, 439, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 + 213176*j**2\/3 - 852680*j\/3 + 284224.\nAnswer: -2*(j - 106584)*(j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - w - 1. Let n(c) = 193*c**3 - c**2 + c + 1. Calculate d(q) + n(q).\nAnswer: 194*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**8\/1680 + q**7\/280 - q**5\/30 + 13*q**3\/3 - 13. Let x(u) be the third derivative of b(u). Factor x(f).\nAnswer: -f*(f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12272*k**4 - 3*k**2 - 2*k - 4 wrt k?\nAnswer: 294528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 11:04 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:26 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -350.7 and -0.142.\nAnswer: -350.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**20*(a**(-11\/3)*a)\/a*(a\/(a\/(a**(-6\/7)\/a)*a))**(-2\/43) assuming a is positive.\nAnswer: a**(14869\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -68 (b) 0.1 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -737164? (a) 5 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25978061 + 25978085.999974. Let q = -31 + 56. Let h = p - q. What is h rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17094\/682 + -25 - 314\/62. Which is the third biggest value? (a) 48 (b) -1\/3 (c) -4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - -9. Let d = a + -19. Suppose o - 13 = d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3*1\/57). Let o be ((-741)\/260)\/a*1*4. What is the nearest to -0.1 in o, -2\/13, -3\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2010820 and 11964379.\nAnswer: 239287580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - n**2 - n**2 - 5)*(149 + 13 - 40).\nAnswer: -366*n**2 - 610","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 20 + 11*x - 41*x + 32*x + 33*x. Let y(v) = 6*v**2. Give y(t(q)).\nAnswer: 7350*q**2 + 8400*q + 2400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 - 3. Let d(b) = b**2 - 1. Let r(s) = 3*d(s) - z(s). Let l(w) be the second derivative of 0 + 0*w**3 + 5\/2*w**4 + 0*w**2 - 12*w. Give l(r(a)).\nAnswer: 30*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1176, 1175, 1172, 1167, 1160?\n\"Answer: -p**2 + 2*p + 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 1, d: 3, r: 2, j: 3, m: 1}. What is prob of sequence rr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14547373 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 plus 0.297947760181?\nAnswer: -43.702052239819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/41 (b) -5 (c) 516 (d) -3 (e) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 102, -60, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249 (base 11) in base 3?\nAnswer: -2020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 10*l - j - 35526, 21319 = 3*l - 4*j. Is l a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((130\/260)\/((-2)\/12))\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -16) + 29 - 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*x - 9, 2*a = x + 3. Solve 0 = -4*u - 4*t, -a = u - 3*t - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 73*a + 75. Let d be y(5). Calculate the greatest common factor of d and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 258 - 302 = 2*s, 5*s + 35 = d - 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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 the common denominator of 107\/36 and (-34)\/274*(-19 - -32)\/52.\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 52185\nAnswer: 58\/52185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -221, -332, -443, -554, -665?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w - 1297. Give m(-21).\nAnswer: -1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -33\/358, 45, 5\/218?\nAnswer: 5\/218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from zazwka.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 63*-1\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/g)\/g**(-12\/7)*(g*g\/(g**12*g))\/g*g\/(g**(-2\/37)\/g) assuming g is positive.\nAnswer: g**(-3945\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/2321 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 72 - 46 = -3*p, 3*p - 116 = 4*v. Suppose c + 3*c - p = 0. Let q be (7320\/c)\/(3\/(-225)). What is q rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183.984 + 2.\nAnswer: 185.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 5009*y**2 + 4*y**3 - 3*y**3 - 14*y - 5008*y**2 - 2*y**3 as w*y + l + c*y**3 + h*y**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -267 - 54. Let h = i - -460. Find the third derivative of -3*n**6 + h*n**2 - 126*n**2 - 11*n**6 wrt n.\nAnswer: -1680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8563999.7 to the nearest 10000.\nAnswer: -8560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 13. Let k be 131\/(-3) + 3\/(-9). Let q = k + 70. Calculate the remainder when q is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.512101 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 472\/7 (b) -1\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-261)\/18 + 9). Suppose 5*i + 2*r = 1952, n*r - 8*r - 3 = 0. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t - 6. Solve 0 = t*f - 0*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 9 - 1. Suppose -x = -3*u - 3064, 5*x - 6*x - b*u = -3039. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1614204.39 to the nearest 100.\nAnswer: 1614200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2210220 (base 5) to base 16\nAnswer: 9529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 + h**2 + 6*h - 8. Let r be x(1). What is the tens digit of (-962)\/(-2) + 2\/r*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.11 + 1. Let v = 5057 - 5062. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18040*n + 272 = -18056*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(3*r**3 - 3*r**3 + r**3) + 4*r**3 - 5*r**3 - r**3 + 0*r**3 + 3*r**3 - 6*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 - 0.02. Let n = 1\/161 - 331\/1449. What is the closest to o in 1\/4, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.4 (b) 0 (c) -1\/4 (d) -0.1 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2377 - 2373. Let s(l) = -l + 10. What is the remainder when j is divided by s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((0 - -5) + 12) - (4 - 16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 + 48*w + 15. Calculate x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -74?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + 49 - 385. Let q = -47 + x. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -2. Let c be 3\/2*(-4)\/m. Let k(h) = h**3 - 18*h**2 + 26*h + 289. Let x be k(15). Solve o - x = c*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 3*x - 2*a + 22, -3*x - 2*a - 97 = 0. Sort -2, x, 5, 3 in increasing order.\nAnswer: x, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*g**2 + 2*g**5 + 19*g**5 + 2*g**2 wrt g?\nAnswer: 1260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 63.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 830902, 1662111, 2493324, 3324541, 4155762?\nAnswer: 4986987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - 2.06. Let n = 2.4 - -0.6. Let r = 2 + n. Which is the nearest to -1? (a) o (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - y + 13, 3*c - 3*y - 7 = -y. What is the remainder when 9 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.058 greater than -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-99)\/(-22))\/(8\/4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 111302033?\nAnswer: 111302100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**4 + 20657527*z**3 - 2304460*z**2 - 4*z + 7 wrt z?\nAnswer: 24*z + 123945162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10203189 is divided by 66?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1029 + 1541. What is the remainder when m is divided by (-14 - -11) + 272\/(-16) + 77?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 5*y**2 - 2*y - 4. Let f(j) = -5 - j + 31 - 18. Let a be f(5). What is p(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 76?\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9507691*f*r + 340792*f + 32 wrt r?\nAnswer: -9507691*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-656)\/(-1968))\/((-26)\/6)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 5) to base 10\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443009164.\nAnswer: 2, 13, 23, 28493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 6*g**2 + 1. Determine l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*q - 2*q = 5, -2*q - 5 = -3*i. Let s be 27\/(5 - (-14)\/(-4)). Suppose 2*t + 2*z = -t + s, i = t - z. Solve 0 = 4*p - 0*p - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/1*(-1)\/(-8). Is -19 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -165*u**3 + 2*u**2 - 7. Let v be p(-2). Let n(b) = -3 + v*b**2 - 1323*b**2 + 5 - 2. Let k(w) = 98*w**2. Calculate n(k(d)).\nAnswer: -19208*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2 - i - 2)*(-2 - 1 + 2 + (5 - 6 + 0)*(-6 + 3 + 2) + 1 - 1 - 1 - 1 + 2 + 1).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3\/7 + 44*c**2\/7 + 484*c\/7 = 0. What is c?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209)*-5)\/(sqrt(44)*2).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.87 + 54.33. Let h = z - 5.2. Let t = -48 + h. Which is the nearest to -1? (a) t (b) -3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(2\/11))\/f)\/f)**(-8\/3)\/(f\/((f**(1\/3)*f)\/f*f)*(f\/(f**(-2\/79)*f*f)*f)\/f))**(-22) assuming f is positive.\nAnswer: f**(-18196\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v - 4*g + 80, -5*g + 1 = -2*v. Suppose -3*n + 33 = -v. Suppose 0 = h + 5*j - 148 - 38, n = 3*j. Round h to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.02 (b) -5 (c) -8 (d) 2\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*u = 30, -14 - 28 = 4*a - 2*u. Round a to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 492*z**3 + 1924*z**2 - 2388*z + 952.\nAnswer: 4*(z - 119)*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-40)*(-5)\/(-3). Let w be 3\/12 + 206\/(-184). Let q = 31\/115 + w. Sort n, q, -0.5.\nAnswer: n, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 r when three letters picked without replacement from {f: 4, r: 3, i: 1, v: 2, c: 1, s: 1}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 32 = -3*s. Sort 0.1, -2\/7, s, 3 in increasing order.\nAnswer: s, -2\/7, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w - 229. Calculate k(35).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -4 - 5) + 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0145 - -5.2145. What is the biggest value in 0, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 92 - 533 = 0. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.9062 decades to centuries.\nAnswer: 0.59062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 22, 21, 18, 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 2. Let a = y - 3. Is a at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueuuruuuqduuqrruuu. Give prob of picking 1 u and 3 r.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 955481575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117734*u*y**2 + 2*u*y + 909*y - 3 wrt y.\nAnswer: 235468*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - 4*m - m)*(-653 + 1349 + 777 - 178 + 1381) to y*m + k and give y.\nAnswer: -13380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b + 10 = 0. Let h(l) = -l + l**b - 3*l + 2*l. Let n be (-4)\/28 - 29\/(-7). Give h(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 2 + 0)*(0 - 2 + 4) + 5 - 3 - 1)*(-5*t**4 + t**4 + 3*t**4) to the form y*t**3 + s*t**4 + h*t + k*t**2 + z and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2960905 divided by 1?\nAnswer: -2960905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 60544260 to the power of 1\/2, to the nearest integer?\nAnswer: 7781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*-4*sqrt(1452)*2)\/(4*sqrt(8)\/(sqrt(6)\/sqrt(3)*5)).\nAnswer: -5 + 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/50 - 2*h**4\/15 + 4*h**3\/15 + 16*h**2\/5 + 78*h. Find g such that f(g) = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*y + 7*y - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, b: 1, g: 3, n: 4, z: 2}. What is prob of sequence nvz?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 114820, 918601, 3100304, 7348891, 14353324, 24802565?\n\"Answer: 114827*x**3 - x**2 - 5*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 5:59 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -26*d + 1 - 1 + 12*d - 10*d. Let s(o) = -o**2 + 3*o - 3. Let t(n) = -4*n**2 + 14*n - 14. Let w(j) = -28*s(j) + 6*t(j). Give m(w(a)).\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/7 + 61807462*w\/7 = 0. What is w?\nAnswer: 0, 30903731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2820 and 259440.\nAnswer: 259440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-2\/11))\/a)*a*a**1)\/(a\/(a\/a**4*a*a)*a\/((a\/a**(-1))\/a*a))*(a**1\/a)**(-42)*(a**(-1\/2)*a)**50 assuming a is positive.\nAnswer: a**(299\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1110000111?\nAnswer: 1110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15157.\nAnswer: 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - k + 6 = 0, 69*r = 66*r - 4*k + 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 28 + 22)*(2*s**2 + s - s).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2662, -3, -31, 4 in decreasing order.\nAnswer: 2662, 4, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01196630860289 and 2?\nAnswer: 2.01196630860289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*g = 26*g - 112*g - 401 + 2745 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(4\/7)*k)\/k))\/k**(-7\/5) assuming k is positive.\nAnswer: k**(64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 285*x**2 + 4875*x - 21875.\nAnswer: 5*(x - 25)**2*(x - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 1420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 5:08 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y - 20 = -3*h, h + y - 10 = 0. Let l be 2\/(-6)*h\/36. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 = -4. Let q = f + 0. What is the remainder when (-29 + 1)*1*q is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/13, -28, 1.4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10636431?\nAnswer: 3, 13, 223, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let x be (1 - (-1 + 1))*3. Suppose -3*k + 2*t = -52, 3*t - 2 - 40 = -x*k. Solve -2*a + 3*g + 19 = o, -k = -5*a + 3*g + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/48*-44342 - -3)*6?\nAnswer: 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8194299745 to three decimal places.\nAnswer: 0.819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -14*l. Let o(z) = 3080*z**2 + 2*z - 80. Calculate o(w(b)).\nAnswer: 603680*b**2 - 28*b - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 10. What is the lowest common multiple of h(-13) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.212511428 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432768 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g**2 - 97*g + 1081. Calculate x(0).\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 185, 267, 351, 437?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644 times 4284?\nAnswer: -7042896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from vrrrwvwvrt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-321)\/1498*(-32)\/(-6)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 60*n**2 + 93*n - 900. Give h(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 2. Let t(v) = -11*v - 4. What is 4*s(i) - t(i)?\nAnswer: 7*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 49915.7 to the nearest one hundred.\nAnswer: 49900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45692 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -4*x + 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z = -3*q - 27, -3*z - 14 = q. Let l = q + 5. Suppose 1\/3*i**3 + l + 1\/3*i**4 - 1\/3*i - 1\/3*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 b when four letters picked without replacement from {e: 11, j: 1, b: 2}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + p)*(3*p + 2*p - 3*p + (p - 4*p + p)*(1 - 2 + 0) - 1 - 2*p - 1 + 0).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 53?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 90 = 4*o - 18, 7*d - 6*d + 101 = 5*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 42840.\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*n - 5. Let y(b) = -4*b - 1. Let a be y(-1). Suppose -a*s = 2*q - 35, 3*q + 15 = 3*s - 0*s. Solve -n*o = -s*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/132 and 37\/6504.\nAnswer: 71544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:04 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6 + 7*a**3 - 2 - 2*a**2 - a - 5*a**2 + 3. Let d(w) = 20*w**3 - 20*w**2 - 3*w - 14. Let i(b) = -17*c(b) + 6*d(b). Factor i(v).\nAnswer: (v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/(-12))\/(6*8\/15048)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74768998687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 10. Let h be z(3). Let t(v) = 9 + h - v - 15. Calculate t(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 121110216 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16446888 and 1782?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -859*i - 169218. Let p be v(-197). Let 2 + 10\/3*x - 4*x**3 + 2\/3*x**p - 4\/3*x**2 - 2\/3*x**4 = 0. What is x?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284478 times 2?\nAnswer: 568956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*u - u - 52*u + 3*u - u**3 + 11*u to x*u**3 + y*u + j + m*u**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by -3.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101942421 to the nearest integer?\nAnswer: 10097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 801014401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -17246007.\nAnswer: 3449201.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64985 - -64989. Let c(u) = u**2 - u - 2. Let j be c(3). What is the highest common factor of g and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132232 - -1?\nAnswer: 1132233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-133806)\/(-12) - (-5 - 36\/(-8)). Suppose -47*o + 68*o = k. What are the prime factors of o?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3247, 3326, 3371, 3376, 3335?\n\"Answer: -a**3 - 11*a**2 + 119*a + 3140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/11 + 16878336*d**2\/11 + 168783510*d\/11 + 38359900.\nAnswer: -2*(d - 8439178)*(d + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.4. Let q = -161 + 144.2. Let b = -16.7 - q. What is the second smallest value in b, 2\/11, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.6588 times 0.28?\nAnswer: 4.664464","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2291 - 121?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = -2*h. Suppose h*a + r - 4 = 2*a, 4*r - 16 = 4*a. Suppose a = -3*x - w + 34, -6 = -2*w + 2. What is the greatest common factor of x and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4942, -5649, -7570, -11311, -17478?\n\"Answer: -101*j**3 - j**2 + 3*j - 4843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -606578220 divided by 1607\nAnswer: -377460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(363\/44)*(-2)\/12\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/65 - -1\/13. Let j be 0\/(-1 - (-2 + 1)*-2). Let t be j\/(3 - -1) - (-10)\/2. Which is the closest to o? (a) t (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 + (-320)\/(-50) + -3. Factor -12*j**4 - j**f + 9*j**4 + j**3 + 12*j - 12*j**3 - 9*j**2 + 12.\nAnswer: -3*(j - 1)*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -57*h - 712. Does 45 divide p(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49520 less than -2.288112554?\nAnswer: 49517.711887446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + v**2 - 2995467*v**3 + 0*v**2 - 4*v**2.\nAnswer: -2995467*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**3 - 5*x - 7. Let m(s) = -14*s**3 + 8*s + 11. Let v be 4\/6 - (-183)\/(-18)*-2. Let b be (-96)\/v + (-9)\/21. What is b*m(p) - 8*f(p)?\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862 - 5124 = 146*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -40, -54, -62, -58, -36, 10?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17008401 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: What is 680 minutes after 4:41 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a hour?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 - 249. Let f = -158 - d. Which is smaller: f or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -774.1 at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m - 10 + 4 + 6. Let k(d) = 4*d**2. What is k(n(t))?\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/60135300 and -46\/315.\nAnswer: 420947100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3878*s + 3871*s = -63 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7808*a**3 - 228976*a**3 - 125 - 124 + 249.\nAnswer: -221168*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.2 (c) -205 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1611*h - 3856?\nAnswer: 1611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231*0.4.\nAnswer: 92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 3, 0, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 3. Let u(t) = t - 2. Let f(x) = -2*n(x) - 3*u(x). Let z(i) be the first derivative of i**2\/2 - 3. Determine f(z(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/130 and 49\/170.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + t - 7*t - 5*t - 7. Let r be a(-7). Suppose 4*u - r = 23. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a factor of 581100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3409 - 2.\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1333152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 - 39*l**2 - 5174*l + 51630. What is w(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 129\/67 (c) 4\/7 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-4)\/30*3). What is the tens digit of 1\/((s\/(-34))\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*y + 2*y + 17 + 7*y)*(2 - 2 + 3*y) + 3*y - 3*y + y**2)*(5 + 0 - 4).\nAnswer: 4*y**2 + 51*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 761546741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {g: 4, h: 4, l: 2, a: 4, d: 1, x: 4}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1675 + 1827. What is the highest common divisor of 209 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 68 = -299*i + 348*i - 6, -2 = 5*i + x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3 - 1046\/(-510)) + (-2588)\/21998\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*u**2 + 657*u**2 - 1934*u**2 - 343*u + 340*u.\nAnswer: -1939*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -69, -129, -185, -237, -285, -329?\n\"Answer: 2*a**2 - 66*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Let v(w) = w**2 - 12*w - 1. Let g be v(12). Let m(o) = -3*o. Let r be m(g). Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622922933.\nAnswer: 622922933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 9) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((22\/4)\/(575\/230)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (118\/3)\/(0 - (-11)\/264). Let y = f + -125. What are the prime factors of y?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64488080.\nAnswer: 2, 5, 41, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5, 5*a + v + 3*v - 40 = 0. Solve -8*m = -a*m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -0.15975?\nAnswer: -0.45975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 p, and 1 n when four letters picked without replacement from opppnnnnrrprpno.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(88)\/(sqrt(8)*-2)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 - l**2 - 21*l + 21. What is t(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0085696 rounded to five decimal places?\nAnswer: -0.00857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 10. Let n = -12 - -4. Let i be k(n). What is the third derivative of -6*h**i - h**4 + 0*h**2 - 2*h**4 wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 13, 14, 11, 4, -7, -22?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 - -3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = p + p + 58, -m + p + 53 = 0. Let b be 168\/35*10\/3. What is the highest common factor of b and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 221*w + 218*w = -18, 3*w = 3*u + 12. What is the closest to u in -5, -2\/7, 9, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10742.\nAnswer: 2, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a = 47 + 117. Suppose -4*x = -2*x - 32. Suppose 5*z = x - 1. Which is greater: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4*(-8)\/(-6). Suppose o - 24 = -3*o. Suppose 5*b = -j*h, 3*h - b - 11 = o. Solve 0 = -2*z - 4*f + 20, 2*f = -2*z + 3*f - h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrsasssljrs. Give prob of sequence lr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184 - 54 + 21)*(2*q**4 + 2*q**4 - 3*q**4).\nAnswer: -217*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)*c*c*c\/c**4*(c**3)**(-29))**(13\/5))**13 assuming c is positive.\nAnswer: c**(-15886\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**2 - 8*i - 6. Let l be ((-66)\/24 - -1)*-4. Is p(l) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 16 + 7)*(2*z**2 + 5*z**2 - 4*z**2)*(17*z - 9 - 10*z - 8*z) as o*z**2 + y*z + i*z**3 + t and give o.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/((-17)\/(-68)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.02997 rounded to 1 dp?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 2*m = -59*a - 3*m + 34 + 22, -4*m - 4 = -4*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1362 + 148 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6483.211 years to months.\nAnswer: 77798.532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, -74, -351, -884, -1757, -3054, -4859?\nAnswer: -7256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Suppose -w - 15 = -h. Let q = -12 + h. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from vuvuuuvvuvuvuvvuvuvu?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276 - 276. Is d > -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.3 - -0.3. Let x = g + 4. Let u = x - 2. What is the closest to -1\/3 in u, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101365 is divided by 1696?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10412 (base 8) to base 4\nAnswer: 1010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*o + 150*o - 59*o = -25*o. Solve o = 1260*m - 1259*m + 6 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 933 - 616. List the prime factors of j.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-22674)\/(-224)*70\/(-1420) + (41 - 36) and 61\/160.\nAnswer: 11360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234*0.11.\nAnswer: 25.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51950\/(-24) + 1\/3. Let b = j + 2150. What is the common denominator of b and 32\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/135838 and 8\/2343.\nAnswer: 318268434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/4)*t\/(t*t*(t*t**(-6))\/t) assuming t is positive.\nAnswer: t**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in -3, 1\/5, 0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31 and (5\/3)\/((-5)\/(-18)).\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2908*i**2 - 27936 + 27936.\nAnswer: -2908*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44.5 - -44. Suppose 0 = 2*b - 4*b + 28. Let s be 1\/12*42\/b. Sort q, -4, 3, s.\nAnswer: -4, q, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32963553*u**3 + 167536231?\nAnswer: -98890659*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.2. Let f be 8\/(-36)*6*(-6)\/(-4). Which is the nearest to -0.1? (a) -1 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 414055552 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52386 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453048183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 7248 = 7384 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 - 0.3. Let p = 222.6 - 222.67. Sort 1\/2, -1\/5, i, p in ascending order.\nAnswer: i, -1\/5, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000381976778 rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-3)\/((-12)\/(-68)). Solve 4*a = -a + b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -63, -5 in decreasing order.\nAnswer: -3, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 3. Let w(f) = -f. Let v(o) = -s(o) + 6*w(o). Let j(g) = 11*g - 8. Determine 3*j(n) + 8*v(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 29300*t**2 - 53670272*t - 53640976.\nAnswer: -4*(t + 1)*(t + 3662)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2859828 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 645, 589, 497, 369, 205?\n\"Answer: -18*p**2 - 2*p + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 25. Suppose 7 = 2*n - 5*r, -2*n + h = -r - 3*r. Solve -o - n = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34251?\nAnswer: 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3824\/13 - -294. Suppose -2*c = 5 - 13. Suppose 2*b + 2 - c = 0. Is h at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 9*t**4 - 8 + (-5013*t + 6*t**3 + 5013*t)*(3*t - 2*t + 0*t).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s)\/(s*s*s**(-4)))**(-1\/14)*(s\/(s*s**(-2\/19)*s)*s*s*s*s**0)\/(s**6\/(s**(-1\/3)\/s)) assuming s is positive.\nAnswer: s**(-4229\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282590, 1130260, 2543010, 4520840, 7063750, 10171740, 13844810?\nAnswer: 18082960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 162\/(-16) + (27 - 17). Which is the closest to 0? (a) 3 (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 + 12 - 17*z + 15*z - 7 - z**2 as r*z + k*z**3 + g + m*z**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49244 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 182\/15 (b) 12\/7 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8658 and 702?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.182694 to three decimal places.\nAnswer: -0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 + -172. Calculate the smallest common multiple of l and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -106961\nAnswer: 7\/106961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3934.2 - 3999.2. What is the closest to -1 in x, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvv when three letters picked without replacement from vvmvvvvv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d - 5*b = -879, -b = -5*d + 4317. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -30*r**2. Let v(m) be the second derivative of -m**4\/3 + 87*m. Give s(v(p)).\nAnswer: -480*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o - 1. Let r be h(-5). Let p(s) = -6 + r*s - 12*s + 6. Let a(d) = -4*d**2. Let m(g) = -2*g**2. Let i(y) = 3*a(y) - 5*m(y). What is p(i(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/6)\/(6\/(-4)). Differentiate -3*u**2 - n + u**2 - 2*u**2 wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 12. Let d be a(8). What is the third derivative of -7*p**6 - 4*p**2 + 0*p**2 - 4*p**5 + d*p**5 wrt p?\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -11111131012?\nAnswer: 11111131031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*4\/30*(-42)\/28. Let z be 8*(2 + (-10)\/4). Sort z, v, -13 in increasing order.\nAnswer: -13, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 0*t - t - 5 - 4*t + 3*t. Let g be v(4). Let o(k) = k**2 - 6*k + 2. Let d(i) = -2*i**2 + 13*i - 4. Calculate g*o(h) - 6*d(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 338*x**3 + 8278*x**2 + 8618*x.\nAnswer: 2*x*(x - 139)*(x - 31)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1480 + -11?\nAnswer: -1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 1)*(10*w + 6*w - 6*w) + 2*w - 4 + 4 in the form k*w + l and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswsddduuwddsszdwwus. Give prob of picking 1 w, 1 z, and 1 u.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7736 and 318670982.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**2 - 4*z**2 + 4*z**2)*(z - 4*z + 7*z)*(-13 + 13 - 11*z)*(2 - 4 + 0) to c*z + v + x*z**3 + m*z**4 + i*z**2 and give m.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 7 = 3. Let c be (-1)\/2*(-1 - 3). Let a = c - w. Calculate the remainder when 10 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6)*(-60)\/8)\/((-11)\/44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (33 + -16 + 22 + -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*k - 52*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -2. Let g = 3 - 1. Suppose n = p*u + 1, 0 = -2*n - 0*u - u + g. Calculate the greatest common factor of n and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6369.\nAnswer: 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(44\/110)\/((-8)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 19*p**2 - 73*p + 124. Give w(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 4 (b) -12 (c) 20 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 18?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 35 - 1 = 2*j, -p - j - 9 = 0. Let y = p - -9. Solve g - 2*g + 2 = y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7 + 5 - 12 + 3*o + 5*o. Let t(g) = g. Suppose -6 = r - 5. Calculate r*k(q) + 3*t(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 4*g - 2. Let d(s) = 2*s - 6. Let i be d(4). Suppose 6 + i = 2*o + r, -r = -o + 10. What is the tens digit of p(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 210?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21831 divided by 86.\nAnswer: 21831\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 336*v**3 + v**2 + 4. Let p(d) = -d**3 - d**2. Calculate -p(l) - z(l).\nAnswer: -335*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1106 + 1100.931. Let q = f + 0.069. Which is the closest to q? (a) 0.5 (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3950 + 12*h - 3950.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -449 - -689. Let h = v + -129. List the prime factors of h.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19ba65 (base 12) to base 4.\nAnswer: -1233110231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1758, 3515, 5272, 7029?\nAnswer: 8786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (12 + -24)) + 87 + (-4 - 12)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 15*g + 8*g - 5*g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4226 divided by -2113\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.757 - -1.657. What is the nearest to b in 2\/11, 0, -87?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11297350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1731 = x - 0*x, x = -2*j + 1730. Suppose -3*b = 1137 + x. Let d = b - -215. Round d to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.361 + -5.239. Let u = 19\/30 - 2\/15. What is the closest to -2\/5 in v, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b - 20*b**2)*(2 - 7*b**2 - 2).\nAnswer: 140*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*v - 3798 = 0, 49*v = 50*v - 7. Solve -1912*k = -j*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*p**2 - 15*p**2 + 49*p**2 + 20*p**2 + 78*p**2 to c*p**2 + v*p + k and give c.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, 1\/2, 5, -3\/5, -0.2 in decreasing order.\nAnswer: 227, 5, 1\/2, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 11. Let y = 0.4 - 0.3. Which is the nearest to y? (a) -4 (b) g (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11857799?\nAnswer: 227, 52237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 38 = -5*p + 2, 5*j = -4*p - 22. Let k be j*((-2)\/3)\/1. Suppose -2 = -g - k. Which is greater: -8\/13 or g?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6100, -6106, -6112, -6118, -6124, -6130?\nAnswer: -6136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1 + 2 - -2). Let b = f + 8. Suppose 4*g - 271 = -0*p - 3*p, -4*p = -b*g - 351. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b - 1\/8*b**4 + 0 - 7\/30*b**3 - 3\/100*b**5 + 15*b**2 - 1\/600*b**6. Find h such that x(h) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:17 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 1)*(2 + 9 - 3)*(0*z + 4*z - 5*z) + (4 - 3 - 3)*(-2*z + 2*z + z) - 4*z + z + z + 3*z - 2*z - 2*z to l + i*z and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2276, -3959, -5642, -7325, -9008, -10691?\n\"Answer: -1683*g - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 3*a**2 + 4*a - 1. Let d be w(4). Is d equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/13 + 41555128*f\/13 - 124665402\/13.\nAnswer: 2*(f - 3)*(f + 20777567)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(-4 + sqrt(108)\/sqrt(4) + (sqrt(9)\/(sqrt(3)*-1) - sqrt(3)) + sqrt(24)\/(sqrt(8)*-1))**2*5.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/(-286) + (-34)\/(-66). What is the biggest value in 1, b, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 + -15\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 4*s - 2*s)*(-4 + 0 + 5)*(1 + 3 + 0) in the form l*s + c and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1500249 divided by -3\nAnswer: 500083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from knkneenknknekennaa.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*a + 3*a + 3*a - 2.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294249 is divided by 124?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.7. Let t = w - -2.3. Let g = 0 + t. Sort 0.3, 0, g in ascending order.\nAnswer: 0, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -7\/41, -733, 1?\nAnswer: -7\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4230.711 times -23\nAnswer: 97306.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4112, -4126, -4140?\n\"Answer: -14*b - 4098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u - 6*u - 4*u + 24*u - 55. What is q(0)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, -5704777, -4\/3.\nAnswer: -5704777, -2, -4\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 2*z**2 + 3*z - 4. Suppose -a - 5 = -7. Let j be h(a). Find the third derivative of x**2 - 6*x**j + x**6 + 3*x**2 wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-1)\/6*4). Sort 5, 18, v in decreasing order.\nAnswer: 18, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3727, 3758, 4399, 5956, 8735?\nAnswer: 13042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(726))\/(sqrt(108)\/sqrt(4)))**2.\nAnswer: 242\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 13*t**2 - t + 19. Let h be k(13). Let d be (h\/(-3) - -3)*-179. Round d to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 42*j = -14*j - 896 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19+-2967530743\nAnswer: -2967530762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1)*2\/4. Let w be 1 - (-3 + 2) - c. Put w, -0.4, 5 in descending order.\nAnswer: 5, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*1\/(-15)*(-2)\/((-2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10129\/33 + 307. Let s be 3\/(-9)*(4\/5 + (-432)\/1440). Put -0.2, s, 5, f in decreasing order.\nAnswer: 5, f, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71405169 and 8103?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 8:17 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 12:04 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**6\/10 + 3*x**5\/20 + 13*x. Determine b, given that u(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2440)\/7686*7\/(-1).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*v**3 + 382088*v**2 - 218384*v + 31200.\nAnswer: 4*(v + 1950)*(7*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2544*a**4 - 3 - 6*a**3 + 54*a + 2542*a**4 + 1 to u*a**2 + q*a**4 + w + g*a + i*a**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 58*k**2 - 3*k + 27. Let h be y(-13). Let b = 5682 + h. What is b rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 + -9edc?\nAnswer: -a010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44.6 - 49. Let q = 0.4 + d. Let l(x) = 6*x. Let h be l(0). Is q at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.15846 milliseconds in minutes?\nAnswer: 0.001552641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -11, -33, -0.4 in decreasing order.\nAnswer: 3, -0.4, -3, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i + 276 - 551 - 5*i**3 + 274 - 24*i.\nAnswer: -5*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 5*m - 13. Calculate i(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8037365603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -397 + 514. Calculate the greatest common divisor of c and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (3 - -3) - 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22343387*y**2 - 15750506*y wrt y.\nAnswer: -44686774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/4 - 5*v**3\/4 - 7*v**2\/4 - 3*v\/4 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = -2*k. Let u be k\/(-5)*(1 - -1). Let t = -23773 + 23782. Which is the nearest to 0.1? (a) 5 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -718*b - 64*b**4 + 23*b**2 - 25*b**2 - 14 + 369*b + 358*b wrt b.\nAnswer: -768*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*x**3 - 2*d*x**2 - 4497*d*x - 17308*x**6 + 2 wrt x?\nAnswer: -6*d - 2076960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-318)\/(-15) + (-4)\/(-5). Solve -i*m + 12 = -10*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 264 or -2?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-12))\/(4\/84)*9216\/9408 - -7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 262*j**2 + 2. Let n(a) = 10*a**2 + a. Calculate n(y(x)).\nAnswer: 686440*x**4 + 10742*x**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84.91 - -1.4877.\nAnswer: 86.3977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 147*m**3 + 4*m**2 - 15*m + 31. Is 13 a factor of k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 - 300*p**4 - 6856*p**3 - 51960*p**2 - 142900*p - 97500 = 0. What is p?\nAnswer: -39, -25, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36198147 to the nearest integer?\nAnswer: 6016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 219\/35 - (-28 + 33) - (-6)\/(-15).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -48. Let h = f - 18. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 79952?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 313.90688 days?\nAnswer: 44.84384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y = -51*y - 150. Suppose y = -0*s + 5*s. Suppose -2*f - 4*n + 520 = 0, -s*f + 6*n - 10*n + 1312 = 0. Does 39 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 15*l**4 - 10*l**3 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*l**3 - 16*l**2 + 8 + 4 + 2966878*l + 4*l**4 - 2966870*l.\nAnswer: 4*(l - 3)*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 17*w**4\/12 - 16*w. Let d(l) = 2*l**2. What is d(g(o))?\nAnswer: 578*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 h when three letters picked without replacement from {e: 2, c: 1, h: 3, b: 3, w: 2, n: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - 9) - -13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (106\/8)\/((-511)\/(-168) - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*-4 + -2*-1*sqrt(153))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from vffffvfvfvfvv.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q - q. What is the highest common factor of 40 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 103892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -350246 + -2812?\nAnswer: -353158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5263, 5085, 4909, 4735?\nAnswer: 4563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39155)\/(-30) + (-2)\/12. Let g = q - 2925. Round g to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -11. Let v(u) = u**3 + 5*u**2 - 7*u - 3. Let q be v(-6). Let f be (-2)\/q - (-280)\/294. Which is the nearest to f? (a) g (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 6. Let h(j) = 4*j - 7. Let m(f) = 2*h(f) - 3*z(f). Let o(x) = -2*x + 9. Give -7*m(w) + 3*o(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 7:21 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10816631?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**0*f))\/f)\/f*f**(-2)\/f*(f\/(f**(-2\/3)\/f))**(-22))\/((f**(2\/3))**(-6\/11)*((f**6\/f)\/f)\/(f*f*f**(-2))) assuming f is positive.\nAnswer: f**(-2221\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 59, -4, -71 in decreasing order.\nAnswer: 59, -4, -41, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*v + a, -3*v = -2*a + a + 5. Let r = v - -1. Suppose r = g + 2*g - 33. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/8)\/((300\/(-8))\/25). Let o = 0.04 - -3.96. What is the closest to -4 in z, o, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 1c1?\nAnswer: -1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 121883 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 97?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4\/2 + 5*k**3\/3 + 3*k**2\/2 + 5*k - 7. Let t(u) = -u**3 - u**2 - 1. Let y(w) = -c(w) - 5*t(w). What is x in y(x) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-4))\/(129\/(-2451)) + (-7)\/4 + 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2733498988588 and 0.03.\nAnswer: 2733498988588.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -8, -6*h = -3*h + 4*o - 46. Let w(u) = u**2 - 11*u + 7. What is w(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -506.87 + 507.3. Which is the nearest to -5? (a) -1\/3 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4)\/(3\/(-186)). Let c be j\/28 + 12\/21. Let n(r) = r**2 + r + 1. Let x(m) = 3 + 6*m - 1 + 4 + 3*m**2. Calculate c*n(t) - x(t).\nAnswer: 2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 - o. Suppose 0 = -0*d - 10*d + 70. Let k be (d*(-3)\/(-21))\/((-1)\/(-3)). Let q(n) = 7 + k*n**2 + 6*n**2 - n - 7. Give 6*h(j) - 5*q(j).\nAnswer: 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -14. Let h(i) = 22*i - 9. Calculate the remainder when h(4) is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 75, 121, 183, 267, 379, 525?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1662 + -508. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89305555 to the power of 1\/2, to the nearest integer?\nAnswer: 9450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 1064?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*k - 15330 = -370*k + 250*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 22*k - 71. Let a(f) = -2*f**2 - 40*f + 17. Let q be a(-21). Let y be z(q). Sort -38, y, -1.\nAnswer: -38, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 10 = 2*c. Let p(t) = -t + 8. Let b be p(c). What is the nearest to -1\/3 in 0.4, b, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 1. Let z(t) = 38*t + 5. Let i(x) = -4*p(x) - z(x). Let w be i(-1). Suppose 4*m = m + w. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9412 and 12?\nAnswer: 28236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 261 = 5*s, 0*s = 5*s - 4*w - 281. Let r = s - 43. Let d = r + -9. Solve -f = -0 - d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 76*a = 73*a - 35, -2*x + 28 = 4*a. Let v = 1.33 - 0.23. Let s = v + -1.3. What is the closest to s in 0, x, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 96*y + 81. Suppose 0 = p + 4*p + 5*q - 255, -2*p - q + 104 = 0. What are the prime factors of n(p)?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 455*g**2 + 70 + 3*g + 464*g**2 - 947*g**2 + 4*g - 5*g to the form i*g**2 + r + k*g and give r.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 2*m**5 + 0*m - 146*m**5 - 96*m**5 + 48*m**5 + (0*m + m + m)*(m**4 + 3*m**2 - 3*m**2) + (2*m - 2*m - 2*m**2)*(-3*m**3 + 6*m**3 - 2*m**3).\nAnswer: -196*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 60 = -l. Let h be ((-8)\/18)\/(l\/(-18)). Let c = 0.4 - 0.3. Which is greater: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1112\/7 and 160 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -392, -493, -772, -1319, -2224, -3577, -5468, -7987?\n\"Answer: -15*f**3 + f**2 + f - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*l + 2, 6*l - 8*l + 3*q - 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-336)*-16 - 0\/(-1). Is t at most as big as 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47549083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -227*g - 40. Let b(a) = -57*a - 10. Let w(j) = -9*b(j) + 2*y(j). What is the hundreds digit of w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -204.007 - -0.007. Let x = 204.4 + h. Let j(u) = 2*u. Let y be j(-2). What is the nearest to -2\/3 in -1, x, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Suppose 2*o + 2 = m*o. Suppose o*j = -4*j + 1860. Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 0*i + 0*i**2 - 11\/5*i**5 - 7\/2*i**4 - 5\/12*i**6 - 4\/3*i**3 + 2. Factor r(u).\nAnswer: -u**2*(u + 2)**2*(5*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -4*d**3\/3 + 2*d**2 + 7. Factor i(r).\nAnswer: -4*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (8 + 1 - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*(-6 - -3). Let y = 4 + -6. Put 0, f, y in descending order.\nAnswer: f, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -13. Suppose -27 = 2*c - 5*s, -3*s + q = -c - s. Sort -1\/7, 0.2, c in increasing order.\nAnswer: c, -1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c - 3. Suppose -a - 2 = 0, 3*p + 2*p - 5*a - 70 = 0. Let r be (6*p\/9)\/1. What is the greatest common divisor of r and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 276. Suppose g*b - 173*b = -560. 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: Let m(w) = w**2. Let d(c) be the first derivative of 0*c - 2\/3*c**3 + 0*c**2 + 8. Let x(g) = 5*d(g) + 6*m(g). Let n(v) = v. Give x(n(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z*(z\/(z\/(((z*z**(-7\/8)\/z*z)\/z*z*z*z)\/z*z*z)))\/z)**(-49) assuming z is positive.\nAnswer: z**(-2793\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 22 + 22 = 0. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3\/2 - 317687*w**2\/2 - 63537*w = 0 for w.\nAnswer: -63537, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15948 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31431 - -31433. Let a(i) be the first derivative of -52*i + 2\/3*i**3 + 32 + i**v. Differentiate a(l) wrt l.\nAnswer: 4*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319.7*-1.\nAnswer: 319.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-3 + (sqrt(128)*3 - sqrt(128))) + (3 + sqrt(98) + 1)*-5)*-6)**2.\nAnswer: -113400*sqrt(2) + 189900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(((-162)\/(-81))\/((-456)\/(-4))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 t when three letters picked without replacement from {t: 2, n: 1, j: 4, o: 6, k: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -17. Let t be (-3)\/24*(p + 1). What is the fourth biggest value in -2\/21, t, 1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 - 2*h**3 + 4*h**2 + (95*h**2 - 58*h**2 - 57*h**2)*(2*h - 2 + 2).\nAnswer: -42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4094 (base 12) to base 11.\nAnswer: -5306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21763*y**4 + 3*y**3 - 131934*y**2?\nAnswer: -522312*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/470760 and 87\/2356.\nAnswer: 277277640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7*s*s)\/(s\/(s**(-2\/43)*s)))**(-42)*(s\/s**(1\/4))**39\/(s**(-1)\/s)**31 assuming s is positive.\nAnswer: s**(-48985\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 138*t + 137*t - 1 = 0, 3*t + 21 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6475.803 less than 0.3?\nAnswer: -6475.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*y + 234 + 3 + 355 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88 + 27*w**5 + 59 + 2*w + 74 - w**3 + 265 wrt w?\nAnswer: 540*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*u + 580, 0 = -2*u - 4*h + 181 + 115. Suppose 0 = -5*o + u - 15. Let f be (20\/(-8))\/(1\/(-2)). Solve 4*q + 3*a + 20 = a, f*q + 3*a + o = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 129225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 + 6*r. Calculate u(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 154?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4504401 - -110?\nAnswer: -4504251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**2 + 6. Let a(k) = -7*k**2 + k + 7. Calculate -5*a(o) + 6*s(o).\nAnswer: -o**2 - 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16872587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 d when three letters picked without replacement from {b: 6, w: 1, d: 12}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 247*t**3 + 2 + 255*t**3 - 515*t**3 - 9*t**2 wrt t?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11742521?\nAnswer: 7, 31, 53, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -587 times 3\nAnswer: -1761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - -26 - -77 - 32?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11) - sqrt(99)\/(sqrt(9)*-4)).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2790 = 5*i, 0*i + 5*o = 2*i - 1145. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 147 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/18 - 58*m**3\/9 + 841*m**2\/3 - 294*m. Factor z(n).\nAnswer: 2*(n - 29)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 8*w + 7*w + 12)*(0*w - w + 0*w + (-2 + 0 + 0)*(0*w - w - w) + 0 + 2*w + 0 - 2*w - 2 + 4*w - w).\nAnswer: -12*w**2 + 76*w - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 22, 0.01, 6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -882*f**3 - 4*f**2 - 9077*f?\nAnswer: -5292*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*h - 20, 5*k - 1 = -4*h - 12. Suppose 0*b + 66 = 2*b + 5*f, 5*f = -4*b + 112. Calculate the remainder when 32*(4 + k\/(-3)) is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413081 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -202 + 290. Find the third derivative of r*g**6 + 2922*g**4 + 224*g**2 - 2922*g**4 wrt g.\nAnswer: 10560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 9*r - 30. Let x(b) = 3*b - 3. Let p be x(-5). Let m = p - -31. What is the tens digit of n(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**4\/4 + 7*o**3\/3 - 2*o**2 - 9*o - 10322. Calculate r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 223, 656?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 19. Let y be t(9). Find the common denominator of 3 + ((-29)\/8)\/y and 34\/4*(-12)\/33.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Suppose 5*k - 12 = -k. Let n = 24 + -22. Let x(t) = 38*t**2 - 44*t**n - 2 + k. Give x(i(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 + 332*o**2 - 683*o + 12200. Give d(-113).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 6*d**2 + 2*d - 6. Let i be h(-4). Suppose -i*b = -14*b - 3052. What are the prime factors of b?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45)\/10 - -6 - 250\/140. Let w be (-1 - (-34)\/14) + -1. What is the nearest to 7 in 1, w, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 + 29 = 4*s. List the prime factors of (-9)\/6 - s\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12194 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 41\/13*(-96)\/(-42). Let o be (-8)\/(-76) - ((-2230)\/(-247) + -2). Let q = x + o. Which is the nearest to q? (a) 1 (b) -2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1861, 813, -239, -1295, -2355, -3419, -4487?\n\"Answer: -2*y**2 - 1042*y + 2905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5 - 3*p**3 - 1 + 0 + p + 4*p**3. Give h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.1062 nanograms?\nAnswer: 0.0000051062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10 - (-104)\/40.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -12*j + 2538. Calculate the remainder when l(-21) is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -36*c - 568. Calculate x(-15).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 2*d**2 + 2*d - 2. Let q be j(2). Solve 3*w + 1 + q = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-4\/9))\/u*u)\/(u\/(u*u*u\/u**(-6))))**(-12))**(10\/3) assuming u is positive.\nAnswer: u**(-3400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(24) + sqrt(3) - (sqrt(24)\/(sqrt(24)\/sqrt(3)) - sqrt(3)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbrr when four letters picked without replacement from {r: 2, b: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3395 - 3393. Let i(d) be the first derivative of -d**s + 10 + 4\/3*d**6 + 0*d**4 + 0*d**5 + 0*d**3 + 0*d. What is the second derivative of i(z) wrt z?\nAnswer: 160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2439126 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 37*u**3 - 2*u**2 + 5*u - 5. Let k be r(2). Let z(a) = -1 - 2*a + 12*a**3 + 293*a**2 - k*a**2. Calculate z(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1764 and 36.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12424, 11104, 9786, 8470?\nAnswer: 7156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141587392, -141587395, -141587398, -141587401, -141587404?\nAnswer: -141587407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1.1, -97, -5, 5, -17, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(8)\/sqrt(16))**2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + ((-22)\/(-6) - (-14 - -19))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 9 + 6. Suppose 0 = 4*l + 16 - 0, 0 = n*o - l + 1. Let r(y) = -8*y + 1. Calculate the remainder when 17 is divided by r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -47, -77, -109, -143, -179, -217?\n\"Answer: -l**2 - 25*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**5\/20 - 5*x**4\/12 - x**3\/3 - 5*x**2\/2 - 3*x. Let u be a(-5). Differentiate u*z - 4*z - 4 - 3*z**2 - z with respect to z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88020 and 276750?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-5))\/4*(-262)\/(-131)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**2 + d + 2. Let r be q(3). Let p(x) be the first derivative of -x**4\/4 - 4*x**3\/3 + 5*x**2\/2 + 5*x - 2196. Give p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + p - 758 = -778, 2*p = u - 33 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7720.724kg to milligrams.\nAnswer: 7720724000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x. Suppose -5*p = -3*l + 20 + 3, -l - 5*p - 19 = 0. Suppose 3*w + 4*y = -l - 4, 5*w = 4*y + 45. Suppose -w*b + 21 = 11. Calculate t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243\/(-405)*(-14)\/((-2856)\/1445)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**2 + 121*t**2 - t - 242*t**2 + 119*t**2 + t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 43 = -2*w, 16*p + 23 = 19*p - 2*w. Solve p - 11 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 3*n - 3. Let d be g(-2). Let x = d - -6. Solve 6 = x*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12982882, -25965748, -38948604, -51931450?\n\"Answer: 5*d**2 - 12982881*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*h - 13 - 53, -t = 3*h - 20. Find the common denominator of (-60)\/t*(-70)\/(-8) and -103\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82809536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4152 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38047116 + -3?\nAnswer: -38047120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dneeeexee. What is prob of sequence xed?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzzz. Give prob of sequence xzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -131*l - 88. Let i(h) = -65*h - 44. Let k = 134 - 139. Let r(x) = k*i(x) + 2*c(x). What is the derivative of r(y) wrt y?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 + -3?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -370045, 2, 189.\nAnswer: -370045, 2, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(45))\/sqrt(9)*-4 + sqrt(60)\/sqrt(3) + 1 + sqrt(15)\/sqrt(3))**2 + 0 + -4.\nAnswer: 22*sqrt(5) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22204 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -1, -79 = 2*n + 3*i. Let z = -41 - n. Suppose -l - 2*l + 897 = z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 140*j - 625*j + 137*j.\nAnswer: -628*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbp when three letters picked without replacement from {b: 2, p: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -165a921?\nAnswer: 165a924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 4*d - 5*d)*(2*d - 4*d + 4*d)*(-1087 + 1087 - 83*d**2) in the form s*d**2 + u*d**3 + c*d + n + o*d**4 and give o.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -474 - 267 - i**3 + 80*i**2 - 41*i**2 - 37*i**2 to s*i**2 + l*i**3 + u + c*i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/8 - 72354*k**3 + 3485723604*k**2 + 419068579680*k + 12579876482400 = 0. Calculate k.\nAnswer: -60, 96532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120*r**3 + 4916*r**2 + 31516*r - 1056.\nAnswer: 4*(r + 8)*(r + 33)*(30*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 - d**2 + 11*d**2 + 7*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -172996.8 = 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51745\/59 + -877. Let x = j - 128\/295. Suppose 0*z + 3 = -3*z. Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(1 + -3*sqrt(1539)) + 0)**2.\nAnswer: -33750*sqrt(19) + 8657500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034190818 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -2 (c) -5 (d) -555 (e) -9\/7 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1021 (base 3) to base 2\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven halves of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -2220?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233522 a multiple of 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/319?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 4*w**2 - 114*w - 20. Calculate o(-8).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -3080\/43?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 3008?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*r**3 - 86*r + 181*r - 95*r + 3393*r**3.\nAnswer: 3699*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, p: 1, w: 3, h: 3, e: 6, j: 1}. Give prob of sequence pjl.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 3*s + 77 - 35 to j*s + a and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*f + 63*f = 24. Suppose -3*g + 4*b + 60 = 0, f*g + 3*b - 137 = -32. Calculate the lowest common multiple of g and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26\/312)\/((-2)\/(-27)))\/((-690)\/(-6440))?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3 = 5*c, -1 = 5*c + 2800028*j - 2800030*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/49)\/((-64)\/1120)*7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.03 - -0.03. What is the closest to b in -2, 2\/5, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 144 + -3?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 + 607*g - 9035. Give q(15).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28645*g**3 - 1314*g**2 - 4*g?\nAnswer: -171870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 118*w**5\/5 + w**3\/3 - 167*w**2\/2 + 2*w - 59. What is the second derivative of b(g) wrt g?\nAnswer: 1416*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1809 is divided by 200.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2322 not equal to 444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 9*q**2 + 3*q - 15. Let a be x(-10). Suppose a + 29 = 4*k. What is the lowest common multiple of 10 and (-24)\/(-7) + 12\/k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwx when three letters picked without replacement from {x: 2, w: 2, c: 1, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (607*a - 23*a + 611*a)*(13 - 16 + 9).\nAnswer: 7170*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7544 divided by 4?\nAnswer: -1886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 - 106. Suppose -4*q - 5*x + 524 = 0, -b*q - 5*x - 76 + 474 = 0. 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: Convert -3 (base 16) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1082 is divided by 485.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) - 25\/(-2). What are the prime factors of (-8)\/a*(-1 + -71)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 12. Let x = 7 - d. Let q = -2.9 - x. Which is the second biggest value? (a) q (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -67, -0.22, -3, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttqqqtq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19712 - 3488998\/177. Find the common denominator of 9\/4 and c.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38368, 38340, 38298, 38236, 38148, 38028, 37870, 37668?\nAnswer: 37416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7585 and 2?\nAnswer: 15170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*s**2 - 327\/2 + 162*s.\nAnswer: 3*(s - 1)*(s + 109)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9088.41 + -9164. What is r rounded to the nearest integer?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**3 - 3*x**2 - 3*x. Let v(t) = -t**3 - t**2 - t. What is -h(w) + 2*v(w)?\nAnswer: 2*w**3 + w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5976608 divided by -271664\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3\/((-27 + (-36975)\/(-1370))*2\/(-86)) and 6?\nAnswer: 35346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Let q be -5*(9\/1)\/d. Let v = q + 47. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o + 95560*o**3 + 36748*o**3 - 11*o.\nAnswer: 132308*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24005067 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7200203 is divided by 441.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-14807)\/(-1608)) + 14\/16.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.73 plus 0.9?\nAnswer: 2.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/51*1*(-10)\/25.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 10, -3*g + 14 = -0*g + n. Let v(j) = -3 - j**3 - 2*j**2 + g*j + 3*j**2 + j + 1. Let c = -3 - -6. Calculate v(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1370 + 1550. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461605 divided by -215.\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32323 (base 6) to base 14\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 (base 16) in base 11?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 - 88\/(-6). Suppose y = z - 2*z + 9, 3*y = u. What are the prime factors of z\/1 + 0\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**3 + 28*p**2 - 26*p + 2. Let t(u) = -u**2 + u - 1. Let d(c) = -2*j(c) + 12*t(c). Factor d(z).\nAnswer: 4*(z - 2)*(z - 1)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3748*y + 3751*y = 11 + 29, 0 = 3*t + 4*y - 51 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(121) - sqrt(121)*-1)*-3 - sqrt(121))\/sqrt(11).\nAnswer: -7*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1 (c) 0.2679181 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16948 + 20113. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*j**2 + j - j + 56*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Let b = 5 - u. Let c be (24\/16)\/((-1)\/b). Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -168*s. Suppose 14*g = 18*g - 8. Let q(t) = -7*t. Let b(j) = g*u(j) - 49*q(j). Let k(f) = -9 - 9 + 18 + 3*f. What is k(b(h))?\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*w - 4*b = -621*w + 3, 5*w + 4*b - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. Suppose -6*q + 12 = -q + v*n, -9 = 4*q - 3*n. Let z = -64\/7 + 235\/28. Sort z, 1\/9, q.\nAnswer: z, q, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from assszgssrsgsgzrzoz. Give prob of picking 1 r and 1 a.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*o**3 - o - 3*o**5 + 142*o**2 + 112 + 149 - 263 + o**4 wrt o.\nAnswer: -180*o**2 + 24*o - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(180\/9))\/((-10)\/8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10}. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Let p(j) = -j + 10. Let b be p(4). Suppose 14 = b*n - 40. Solve l = k*d + n, 2*l - 2 = -3*d - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*d**3 + 14*d - 14*d)*(0*d - d + 2*d) - 2*d**4 - 29*d**3 - 11*d**3 + 5*d**3 in the form u + o*d**3 + w*d**4 + n*d**2 + z*d and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115990 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -681 + 683. Solve -3*g - 4*c + u*c = -7, 2*c + 1 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-4) + 2\/(-8). Find the third derivative of -3 - f**3 - f**2 - 2*f**3 + o wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549 is divided by 120?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjej. What is prob of picking 1 e and 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -80653, -80654, -80655, -80656, -80657?\n\"Answer: -i - 80652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bb5 + -203?\nAnswer: 19b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, l: 1, d: 2, k: 1}. Give prob of picking 2 u.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/19 (b) -654 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8703 - 89.\nAnswer: 8614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1296 and 4356.\nAnswer: 156816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3839, 15449, 34827, 61973, 96887?\n\"Answer: 3884*o**2 - 42*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/35)\/(51\/(-170))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Suppose 0*l + m*l = 0. Suppose -4*t - 1 - 3 = -4*j, 5*t + 3*j - 27 = l. Solve -5*k + 3*h = h - 12, k + t*h + 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 2*v - 5. Give c(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-270)\/(-50) + 6\/(-15). Solve p*z - 10 = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2468626 is divided by 822728.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 u, and 1 w when four letters picked without replacement from xxuwwumxwwehhmm?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*j - 673 + 672 - 5*j.\nAnswer: -70*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*w**3 - 3 + 1 - 347*w**2 - 17*w**3 + 1224*w**2 - 10*w**3 wrt w.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -2*i**5\/5 + i**3\/3 + 11*i**2. Let c(z) = 2*z**2. What is c(l(k))?\nAnswer: 1152*k**4 - 192*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 12:27 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + 4. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**4 + 4137338*r**3*u - 350530412*u wrt r.\nAnswer: -8*r**3 + 12412014*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + 2 - 2)*(-41*c**2 - 99*c**2 - 56*c**2) + 4*c**4 + 0*c**4 + 0*c**4 to the form g*c**4 + l*c**2 + f*c + k*c**3 + h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Let u(g) be the second derivative of 0*g**2 + 0*g**3 + 26*g + 1\/3*g**4 + 0. Determine u(p(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 3*x**2 - 5*x**2)*(3*x**3 + 84*x**2 + 1 - 144*x**2 - x**3).\nAnswer: -14*x**5 + 420*x**4 - 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*(sqrt(125) - (sqrt(125) + 1) - sqrt(125)) + (0 + sqrt(125) - sqrt(125)) + -4 - -3*(sqrt(125) + 1 + sqrt(125) + 0)) + -5)**2 + 1.\nAnswer: -500*sqrt(5) + 12526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102 (base 7) to base 16.\nAnswer: -18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*u - 5*z, 18*z - 21*z = 5*u + 14. Put u, -2, -5 in ascending order.\nAnswer: -5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*f - 6, -15*f = -14*f - 6*o - 2. Which is the nearest to 45? (a) -2 (b) f (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*y - 105 = 0, -11*d - 150 = -6*d + 27*y - 32*y for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108.367 - 42.326. Let t = z + -66. What is t rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -31. Let v = 577799\/20 - 28884. Calculate the common denominator of v and 1 + (-292)\/w + 3.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33551, 33504, 33417, 33284, 33099, 32856?\n\"Answer: -c**3 - 14*c**2 + 2*c + 33564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 3264.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.86 * 2986.\nAnswer: 26455.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7550785 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)\/o*o)\/(o*o\/(o**(-1)\/o)))**(2\/21) assuming o is positive.\nAnswer: o**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, -35, 27\/10, 4 in increasing order.\nAnswer: -35, -3, -0.2, 27\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 23, -2\/17, 0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60, -84, -140, -246, -420?\n\"Answer: -3*l**3 + 2*l**2 - 9*l - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -12*q**2. Let r(n) be the second derivative of n**4\/3 + n + 18. Calculate r(k(s)).\nAnswer: 576*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5192 = 182*s + 791*s - 144*s + 20114 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.4, 12\/29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7269 = 2*s - 4*s - p, 2*p = 3*s - 10914. Suppose s = -11*i + 15*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1240 + -1243. Which is the nearest to -33? (a) 3 (b) -2\/11 (c) 4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 545, 1104, 1663, 2222, 2781?\nAnswer: 3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 259\/9922 smaller than 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008724309814 to 6 dps.\nAnswer: 0.000872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6640*s - 5*g + 31 = 6644*s, -4*s + g = -13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.123 and 569.\nAnswer: 569.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (31 - 29) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzpzzzzzpzzp. Give prob of sequence zp.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 427716 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: List the prime factors of 104299459.\nAnswer: 11, 861979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 26. Let p(i) = -539043*i. What is p(z(o))?\nAnswer: -1078086*o - 14015118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpmmgggypgpgy. What is prob of picking 2 p and 2 y?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (-1 + (sqrt(45)\/sqrt(9) - sqrt(5)) - (-3*sqrt(125) + sqrt(5))) + 5.\nAnswer: 6 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o + 10 = -5*y, -3*y = -4*o + 38. Let g(c) be the second derivative of c**3\/6 + 3*c**2\/2 + c. Determine g(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 0.0375.\nAnswer: -4.9625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:20 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 388 = -x + 11, 9 = -3*o. Suppose x = 2*c + c. Suppose -c = w + 3*w. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2 = 4*b, 47073 - 47059 = 4*i - 2*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1384 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 8. Let p(c) = -2. Let m(y) = 3*p(y) + v(y). Let n(z) = 3 - 10 + 3 + 2. Give -2*m(o) - 2*n(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/16))\/(t*t**7*t)*t\/(t\/(t**2\/t*t))*t*t**11 assuming t is positive.\nAnswer: t**(97\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456 divided by 4?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z. Let n be j(-2). Suppose u = n - 0. What is the remainder when 22 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 1\/210*k**5 + 0*k**4 + 0*k**3 + 16*k**2 + 0 + 0*k. What is f in d(f) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0 (c) -2.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55164?\nAnswer: 2, 3, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -394 - -1972\/5. Factor o*j - 4\/5 + 2\/5*j**2.\nAnswer: 2*(j - 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*p - 9*p**2 - 424*p - 100*p**2.\nAnswer: -109*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h - 136. Let j be y(-32). What is the greatest common factor of j and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.1, -33\/5, 3, 5?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14900.737 + 529.\nAnswer: 15429.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + 4 + -2 + 12 + -34.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -3, -4\/25, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1186718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 + -56. Suppose 28*m - 9 = -3*i + 30*m, -i + 2*m = 5. Suppose 0 = -i*q + 117 + u. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 11*f**2 - 59*f - 23. What is p(-15)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bizzizzzszbizzzbz. What is prob of picking 2 i, 1 s, and 1 z?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(23\/5) assuming z is positive.\nAnswer: z**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 199403.1 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 3640?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 - 35*r**2 - 6*r + 26. What is the hundreds digit of o(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21000 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.65 - 1.15. Put z, -40, 0.1 in ascending order.\nAnswer: -40, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-5)\/(-25)*(175\/14)\/((-30)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5931*b + 58. Let d(v) = -1483*v - 13. Calculate -9*d(l) - 2*z(l).\nAnswer: 1485*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161238?\nAnswer: 2, 3, 7, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-24))\/9*-6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*c - 115*c + 3757. Calculate the remainder when c is divided by 180\/22 + ((-8)\/(-44))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906049.\nAnswer: 41, 46489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16242 less than or equal to -7668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 86*z**2. Let v(a) be the first derivative of -2*a**3\/3 + 49. Give v(j(b)).\nAnswer: -14792*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 678038 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -0.9 (c) -6\/17 (d) -2 (e) -2\/575\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) - sqrt(15)*3)*-6 + sqrt(15))\/sqrt(5))**2 - (-1 + -3*(3 + sqrt(3))).\nAnswer: 3*sqrt(3) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*j + 2*j + 3*j)*(-j + 0*j + 2*j) + (-2 + 2 - 3)*(-3*j**2 + 2*j**2 - 3*j**2) - 5*j**2 + 2 - 2)*(-2*j + j - j).\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 78 + 586. Which is smaller: -126 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/22*2 + 3723\/(-561)*-3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -15.99?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138.96 + 136.96. Let y = -0.3 - -0.26. Let h = y + 0.44. What is the third biggest value in h, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-31 + 1)\/(-89 - -86). Solve 5*k = -3*x - 10, -2*k - c*x + 9*x - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8474502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849808 a multiple of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4636, 4625, 4602, 4561, 4496, 4401, 4270?\n\"Answer: -r**3 - 4*r + 4641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-6)*(-24)\/234.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 6*a**2 - 2*a - 3. Let t(b) = -2*b**3 + 13*b**2 + 5*b + 7. Let h = -588 - -593. Determine h*m(g) + 2*t(g).\nAnswer: g**3 - 4*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2 + 7*g + 5*g - 12 - 9*g. Determine m(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**3 + o**2 - 1. Let x be k(1). Suppose -x = 2*p + 5*r, p - 5*r + 13 - 46 = 0. What is the smallest common multiple of p and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 39*w - 8337 = -32732. Let f = 90 + -49. What is the greatest common factor of f and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 53 + 201 = -15*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let j(s) be the first derivative of -107*s**3\/3 - 6*s + 268. Give j(f(z)).\nAnswer: -107*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1436 and 4.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-7)\/(-35)*-19)\/((-36)\/(-180))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + o - 1 + 4 + ((4 - 1 - 1)*(-5 + 5 - 2) + 0 - 4 + 0)*(-4*o - 7 + 7).\nAnswer: 33*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -0.1. Let b = -6675 - -46715\/7. What is the second biggest value in b, x, 1, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*h - 273*h - 294*h + 165*h to the form f + b*h and give b.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064.5651496 rounded to the nearest 10?\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -100. Suppose 2*r + 5*n - y = 2*n, 5*n + 20 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/49 and -89\/14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12912735.\nAnswer: 3, 5, 11, 78259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86351.72 millilitres?\nAnswer: 86.35172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**4\/4 + 69*p**3\/4 - 531*p**2\/4 + 1539*p\/4 - 729\/2 = 0.\nAnswer: 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*i + 230*i + 16 = -5*s, 0 = -3*i - 2*s - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2\/5 (b) -3\/5 (c) 50 (d) -278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-3) - (-1)\/(-3). Suppose -3*i - i - 3*x + 21 = 0, -x - 6 = -y*i. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 61 = 2222*d - 2230*d, -3*d - 20 = 5*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -78.6 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684 = -68*i + 72*i. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 2*s**5 + 5*s)*(1 + 1 - 3 + (-1 - 3 + 5)*((-2 + 3 - 2)*(0 + 1 + 0) + 17 - 7 + 14) + 0 + 0 - 4).\nAnswer: -36*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 4. What is the closest to 2 in -1\/3, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(9\/2)\/i*i*i*i)\/i*i**(-2)*i*i)\/((i*i\/(i*i*i**(-1\/3))*i*i*i*i)\/i*i**1))**(9\/7) assuming i is positive.\nAnswer: i**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427, 921, 1721, 2809, 4167?\nAnswer: 5777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 1. Let s be l(-2). Let f be 47\/s - 6\/27. Let u be -7 + ((-11)\/(-1) - 2). Put -1, f, 3, u in decreasing order.\nAnswer: f, 3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/3)\/k*k)\/(k\/(k\/k**(1\/3))))**(-1\/23) assuming k is positive.\nAnswer: k**(5\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/15*(-60)\/(-2720)*34.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -52. Let p = 9 + h. Let i = -4 + 8. Is i greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -574488 or -575735?\nAnswer: -575735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18674*a**2*j - 4*a**2*s**3 - 2*a**2*s**2 - 3*a*j*s**3 - 8*a*j*s - a*s**3 - a*s + 11*a - 120*s wrt a.\nAnswer: -37348*j - 8*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13)*2*-1)**2 + 3 + (sqrt(13) - (0 + sqrt(13)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 90*p**2 - 11*p - 35. Let u(g) = 45*g**2 - 6*g - 17. Let n(i) = -11*u(i) + 6*v(i). Differentiate n(j) with respect to j.\nAnswer: 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 9) to base 16\nAnswer: bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w**2 + 8 + w**3 + 2*w**3 + 6*w**2 - 2*w**3 + w. Let s be o(4). Let a = s + -10. Solve -a = y + 3*y + 2*f, 5*y - 3*f - 3 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 801707 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2 + 10*z - 8*z**2 + 0*z. Let t be q(-11). Let g(p) = -p**3 + 12*p**2 - 12*p + 14. Let c be g(t). Solve -7 = u - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -253660 - -2?\nAnswer: -253657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, o: 1, v: 2, y: 2, e: 2, i: 8}. Give prob of picking 1 i, 2 v, and 1 o.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58222*w - 58223*w - 31 = 8*g, -7*g + 16 = -2*w - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 15*t**4\/8 + t**3\/3 - 7*t**2. What is the units digit of g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*d**4 - 12*d**3 + d**2 + 15957*d wrt d.\nAnswer: -1164*d**2 - 72*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*b - 33, 280*k + 5*b - 34 = 281*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5338*j = 9540*j + 133858 - 14834 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -2 + (-29 - -29). Suppose 5*k + 11 - 31 = 0. Calculate the least common multiple of k and 27 - (x - -2 - 2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1389, -1392, -1395, -1398, -1401?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 182, 34 in descending order.\nAnswer: 182, 34, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 8:58 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:55 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {x: 1, e: 2, s: 9, p: 4, k: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17586, -17594, -17602, -17610, -17618, -17626?\n\"Answer: -8*n - 17578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 163986 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5688.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 25*a**2 - 7*a - 16. Let w be s(-8). Let h be (-10)\/(-2) + 9 + w\/(-110). What is the closest to h in 5, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 4. Let l = o - -5. Let a = 3 - l. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Let g(l) = -l**2 + 13*l + 1. Let s be g(10). Suppose -4*p + 29 + s = 0. What is the highest common divisor of j and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 7. Calculate the least common multiple of s and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c6446c - 5?\nAnswer: -2c64474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*h**3 + 1 - 32*h**4 + 30*h**3 + 9*h**4 as t*h + m*h**3 + y + q*h**2 + f*h**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251 + -136. Calculate the greatest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (6 + 2 - (-13 - (-14 - 4 - -8))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21300332 (base 4) in base 6?\nAnswer: 505102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458497.\nAnswer: 13, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1.9.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222769 is divided by 332.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - 3.8. Let j = q + 4. Which is the closest to j? (a) -5 (b) -0.07 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Suppose 0 = -15*y + 11*y + 52. Suppose 2*c = -t + 19, c + 3*t = -c + y. Calculate the least common multiple of c and g(4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmym when four letters picked without replacement from {m: 7, y: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((77824\/(-190))\/32)\/(2*1\/5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 46*r**2 + 2 - 38*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 2. Let a be k(-7). Let m = 45 + a. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in 0.05, 0.5, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1281 + 1278. Let u = -883\/63 + 95\/7. Which is the closest to 7? (a) k (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joi when three letters picked without replacement from {v: 1, r: 1, j: 4, i: 1, o: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.06 - -28. Let n = 0.5 - 0.66. Let q = n - i. What is the second smallest value in q, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 30106019 in decreasing order.\nAnswer: 30106019, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*p, -5*l = -113*p + 117*p - 1. Let k(j) = 5*j**2 - 8*j + 6. Let h(m) = -m**2 - m + 1. Give l*k(f) - 6*h(f).\nAnswer: 11*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/(s**7*s)*s\/s**(1\/3)*s**(-7)*s*(s*s**(4\/3)*s*s)\/s assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 - 4*a**3 + 2*a**5 + 2*a**5 + (-2*a**3 + 6*a**3 - 3*a**3)*(-a**2 + 0*a + 0*a).\nAnswer: a**5 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5))\/(r*r**12) assuming r is positive.\nAnswer: r**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -36*c**2. Let m(u) be the third derivative of 5*u**4\/24 + 127*u**2. Determine o(m(q)).\nAnswer: -900*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 - 6155 = 182*q + 4157 + 2157 for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, y: 4}. What is prob of picking 2 e and 2 y?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 762652 and 17333.\nAnswer: 762652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009269 rounded to five decimal places?\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6913, -6918, -6927, -6940, -6957, -6978, -7003?\nAnswer: -7032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-4*sqrt(171))\/(sqrt(9) + sqrt(9) + sqrt(225)*-3) - ((-5 + sqrt(1216) + 0 - (sqrt(1216) + 1*sqrt(1216) + -1)) + 3))**2.\nAnswer: 168*sqrt(19)\/13 + 134233\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 36232?\nAnswer: 36245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -521*t + 22459. Let b be n(43). Suppose 0*m + m = 3*j + 1, 2*j - 42 = -2*m. What is the highest common factor of m and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 9*l**2 + 2*l + 18. What is the remainder when m(10) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 + 3 = 0, -3*q = -3*j - 15. Let u(o) = -o**3 - 3*o**2 - o - 8. Let p be u(j). Solve -5*m = -3 - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001933285 to 7 dps.\nAnswer: -0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*(-3 + -3 + 5). Let n(k) = k**2 - 4*k - 12. Let p be n(r). Calculate the greatest common factor of 54 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15183107459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 25. Sort 1, z, 3 in decreasing order.\nAnswer: z, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15)*(-270)\/198)\/((-96)\/792).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1.1 (c) -1.311 (d) 2\/3 (e) 2 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 21. Let d be -1*36*(-7)\/14. Let q = m - d. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.94 + -21. Let h = -1060 + 1059.8. Which is the fourth biggest value? (a) h (b) 1 (c) k (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/7 - 30) + (-6)\/(-1) - -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-9)*(-3)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**3 - 10*v**2 - 16. Suppose j + b = 0, 5*j + b - 8 = -0*j. Let q be -2 + 1 + -2 - j. Let y(g) = -2*g**3 + 3*g**2 + 5. Determine q*f(w) - 16*y(w).\nAnswer: 2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 0 + 0*m + 1\/6*m**3 - 1\/6*m**4 - 1\/30*m**5 + 2*m**2. Let x be (0 - (-1 - 2))\/(-1). Calculate r(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*q + 156 = 0, 3*b + b - 2*q + 166 = 0. Let i = 287 + -325. Let r = i - b. What is the highest common divisor of r and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*g - 272 - 352 = 272 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/360 - a**4\/48 - 61*a**2. Factor h(q).\nAnswer: q*(q - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3533 or -3530?\nAnswer: -3533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 73\/3. Suppose 17 - 2 = 5*d. Factor -m*p + 1\/3*p**d - 1\/3 + 1\/3*p**2.\nAnswer: (p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 1, i: 4, g: 8}. What is prob of sequence wiew?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**4\/7 + 22*i**3\/3 - 291*i**2\/7 + 36*i + 103. Factor x(s).\nAnswer: 2*(s - 3)*(s + 42)*(2*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(6750 - 6750 + 24*h - 1473*h).\nAnswer: -2898*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -11*s**4\/24 - 2*s**3\/3 - 102*s**2 - 2*s - 7. Let l(x) = -21*x - 8. Give -3*l(h) + 7*v(h).\nAnswer: -14*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + 1. Let b(v) = -6*v - 1. Calculate the remainder when b(-5) is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*u + 2*u. Suppose -b = 2*s - 4 + 5, 2*s + 4 = -u*b. Let l = -15 + 22. Solve -x - 3 + l = s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 + 344. Let g = 172 - o. Solve f = g, 6*a + 20 = 2*a + 4*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, y: 2, z: 2}. Give prob of sequence znn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266490675 and 748044?\nAnswer: 1065962700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -10 - 30) + (0 + -7 - 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/14, 0.4, 2, 77, 67?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 less than or equal to -3353\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayy when three letters picked without replacement from yyya?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 0, 4*r = t - 4*t. Let v = 7\/32 + -141\/352. Which is the nearest to 0? (a) v (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/2 - -1*10. Solve -8 = -4*u - 3*o, 5*u - 10 = -c*o + 3*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 352\/9, 1395, -2 in ascending order.\nAnswer: -2, 352\/9, 1395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 0.4, -5, -1\/4, -216 in decreasing order.\nAnswer: 43, 0.4, -1\/4, -5, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f + 60 = 0. Is ((-8)\/f + -1)*-969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 9409?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 144 = 12 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcctctrcrtr. Give prob of sequence rrc.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/23 (b) -2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/8)\/(12\/(-16)). Let s = -0.386 + 0.436. Which is the closest to f? (a) s (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1795*g = -1726*g + 2829 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, s: 2, d: 2}. Give prob of sequence qdsd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-1 - 1))\/(7\/(-6195)). What are the prime factors of ((-185)\/25 - -5)*q\/6?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 127 = -0*z. Let w = 185 - z. Suppose -l + 0*l = 4*c - 38, 5*c - w = 4*l. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 4 + -5)*4\/(-18). Let r be (45\/(-27))\/(2\/(-6)). Let d(g) = -g**2 + 4*g + 5. Let o be d(r). Is i smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11*c**2 - 4*c - 67. Let m(h) = -6*h**2 + 3*h + 39. Let n(b) = -3*d(b) - 5*m(b). Give n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 - -1186. What is the highest common divisor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15279.\nAnswer: 3, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271, -262, -253, -244?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -10*m + 33 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 + 143. Let c = x + 171. Solve 0 = 3*v + 2*y, 0*v + 5*v + y - 7 = c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 285. Let k be z(-17). Let u = k - -766. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -88*z + 6549. Give l(91).\nAnswer: -1459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124588 is divided by 470?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10670 and 21010?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let y(t) = 1. Let x(s) = d(s) - y(s). Let o be 2*(-16 + 3) + 4 + 4. Let p(c) = c**2 - 8*c + 9. Give o*x(g) - 2*p(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1) + (55 - -10). Suppose 3*i - 100 = u, -u - b = -2*i - 2*u. Suppose 3*v - 33 - i = 0. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-259806)\/(-988))\/129 - (-2)\/(-1)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 equal to -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1215*k + 1219*k + 32 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -3, 3, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*o**2 - 469*o - 30864.\nAnswer: -100*o - 469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -12\/5, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r = -3. Let l be (1 - (-20)\/(-14))*r. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535558?\nAnswer: 2, 283, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275016198, 275016209, 275016228, 275016255, 275016290?\nAnswer: 275016333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2290*z + 9924. Determine j(-4).\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c**2 - 2*c**2 + 4*c**2 + (6*c - 2*c - 2*c)*(3839541 - 3839541 + 734*c) to g*c + m*c**2 + k and give m.\nAnswer: 1462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 345847 divided by 3\nAnswer: 345847\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(3\/2)*v)*v\/v**(-2)*v*v*v**(1\/11)*v*v*v**6*v*(v**0\/v)**(-1\/21)\/((v**(1\/3)*v)\/(v*v*v**4)) assuming v is positive.\nAnswer: v**(2665\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7285\/141)\/(2\/(-9)*(-3960)\/1056).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -2 - (7 - 20) - (7 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/39*17\/493.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 82?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (((sqrt(396) + -2*sqrt(396) + sqrt(396))*-4 - sqrt(396)) + (sqrt(396) - (sqrt(396) - (sqrt(396) + 5*sqrt(396)*-1))))**2) + 4.\nAnswer: 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -850 - -1362. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Let s = x - 7. Let o(v) = 2*v**2 + 10*v + 2. Let u be o(s). What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/70)\/(-3) + 2665\/5740.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0\/(s\/(s\/(s*s**(-8)*s*s))*s*s)*s**(1\/6)*s\/s**(-15) assuming s is positive.\nAnswer: s**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = -5. Let j be 2\/(-6) - o\/(-6). Let p = 0.02 - 0.12. Is p less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 0*v + 2*v + 4*v + 6*v - 38*v + (-4*v + 2*v - 2*v)*(-1 + 2 + 1).\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -920.1 - -920. What is the closest to -0.1 in 13, w, -4, -1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69212\/9 or -7689?\nAnswer: -7689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 6493, 3?\nAnswer: 6493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4515377 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(((-18)\/(-8))\/9). Suppose 2*u + b = -4*t, -6*u = 5*t - 2*u + 4. Is 1\/(-1) - t - -64 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*a*m**4 + a*m**3 - 4*a*m + 104*m**6 + 3*m**2 - m - 403 wrt m?\nAnswer: -1152*a*m + 6*a + 12480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*l + l + 20, -5*l + 20 = 4*b. Suppose b*h = -7 + 27. Suppose 71*i - 114 = -43*i. Let t(q) = -1. Let r(a) = a + 7. Give h*t(z) + i*r(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177 - -24. Let l = k - -176. Which is smaller: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -6\/7, -2, -5 in descending order.\nAnswer: 15, -6\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24843*h - 19431*h = -47650*h + 449008 for h.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 80\/140*((-84)\/400)\/(3\/2)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((840\/65)\/28))\/(2\/(-16)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-4\/7)*t\/(t**2\/t)*(t**(1\/2))**(-33)*((t**(1\/3))**18)**9 assuming t is positive.\nAnswer: t**(547\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 0.425?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70528*d + 14104*d + 14121*d + 14098*d + 14105*d + 14101*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/33*3*(-4)\/(-6)*27\/54\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5002 divided by 2.\nAnswer: -2501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*t - 1083 - 155, 616 = -2*v - t. Let r = 309 + v. Suppose 3\/2*j**3 + 3\/2*j + 3\/8*j**4 + 3\/8 + 9\/4*j**r = 0. What is j?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -572010 (base 8) in base 9?\nAnswer: -324438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62190008353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 5*z + 6 = 0. Let v be 596 + (z - (2 - 9)). Let m be (v\/35)\/(1\/(-140)). Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - -102. Suppose -l - x + 24 = -9, -4*l + p = 2*x. What is the greatest common factor of 42 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + f - 20 = -3*f, 0 = -2*p + 3*f + 34. Calculate the greatest common factor of p and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 + 6*u. Let g(v) = -4*v + 15 + 19 - 34 + 3*v. Give q(g(i)).\nAnswer: -4*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from iaal.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5) - (-3088)\/(-40). Let q = z - -229\/3. Which is the closest to q? (a) 0.12 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 10*t**2 - 12*t + 4. Let y be h(-12). Let c = -571\/4 - y. Let j = c - -13\/4. What is the smallest value in j, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*z + 52*z - 540000. What is z rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71880 is divided by 283.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-4))\/1)\/(27\/(-36))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m*m**(1\/4)*m)\/m*m)*m**7*(m**(1\/3))**9)\/(m\/(m**(-8)\/m)*m*m\/(m**(-10)\/m)*m)**(-38\/7) assuming m is positive.\nAnswer: m**(3865\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4*o - 200, -2*o - 54 = u - o. Let b = 54 + u. Solve 10 = -b*r - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-7) + (510\/(-2))\/(-3). Calculate the greatest common divisor of 87 and o.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8988522*s**4 - 12395111*s**2 wrt s.\nAnswer: -215724528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)\/(s\/(((s\/s**4)\/s)\/s)))\/(s*s**(1\/2))**(-38)*((s**(1\/4)*s)**(3\/11))**(-5\/8) assuming s is positive.\nAnswer: s**(15765\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(4500) - sqrt(45))\/sqrt(9).\nAnswer: 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189081, -378165, -567249, -756333, -945417?\nAnswer: -1134501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32888736.\nAnswer: 2, 3, 114197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 25524.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 38. Let t be d(-13). Suppose 3*p + t = -l - 3, 2*l = 2*p + 16. What is the greatest common factor of l and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 + 30*y - 4. Let i(k) = 5*k**2 + 34*k - 4. Let u(n) = -5*i(n) + 6*r(n). Let g(t) = -3*t - 7. Let w be g(-5). What is the tens digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 12428.\nAnswer: -1\/6214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(1 - (-5)\/(-3)). What is the common denominator of -93\/4 and (f\/35)\/((-4)\/170)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -145e + cb0b?\nAnswer: b6ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 3*t - 57, -2*a - 28 = 1618*t - 1614*t for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = 7. Suppose u + z*u = 9. Solve -2*l = -0*l - u*y - 9, -6 = -3*l + 2*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 at least as big as 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5976 + -5989. Let d be 31\/42*8\/12. Let q = d - 5\/7. Which is the third biggest value? (a) z (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 - 6*z + 8. Let b(w) = -5*w**2 + 5*w - 7. Let y(h) = 6*b(h) + 5*m(h). Let c(v) = -4 - v + 11*v**2 + 21 + v - 12. Give 6*c(l) + 13*y(l).\nAnswer: l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 13. Suppose -8 = -t - 2*q, -2*t = 3*t - 5*q + 35. What is the nearest to -2\/3 in t, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - (-1 + 91 + (-3 - 9)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(-9)*-1 - -4. Let c(k) be the second derivative of -1\/63*k**7 - 2*k - 1\/15*k**5 - 1\/3*k**2 + 0 + 1\/3*k**3 - m*k**4 + 1\/15*k**6. Solve c(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/30624 and -41\/696696.\nAnswer: 2786784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6 = 0, 2*m = 4*b - 19 + 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycysysysynanyysnccy. What is prob of picking 1 n, 1 c, 1 s, and 1 a?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*a**2*j + a**2*y + 209*a*j - 72*j*y - j + 753*y with respect to a.\nAnswer: -96*a*j + 2*a*y + 209*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*f**3 + 23*f**2 + 26*f**2 - 5*f**2 + 276 - 56*f**3 + 576 wrt f.\nAnswer: -258*f**2 + 88*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -141, 1, 0, 3, 4 in increasing order.\nAnswer: -141, 0, 1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7785 and 0.705.\nAnswer: -5488.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*((1 - -3) + -2). Suppose 5*i - 36 + 1 = -4*r, -u*r = i - 23. Suppose 1178 = 6*p + 1160. Calculate the greatest common factor of i and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*n + 2504, n - 2510 = -4*y - 0*n. Suppose 0 = -3*h - 1509*j + 1507*j + 1876, 5*h - 4*j - 3134 = 0. Which is bigger: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119871429.\nAnswer: 3, 773, 51691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Suppose -5*o = 0, -17*w + 4*o = -16*w. Which is the nearest to w? (a) -0.5 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 12, k: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*q + (-q + q + q)*(-2 - 2 + 5) + (-7*q + 1 - 1)*(1 + 1 - 1) + 15*q + 60 - 60.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18*-1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -2. Let j(t) = 3*t + 1 - 2*t - 2*t + 3*t - 3*t. What is j(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Let f = 298.9 - 286. Let k = f + -13. Is c != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 + 20*s + 45. What is d(-3)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.90451 rounded to 1 decimal place?\nAnswer: -37.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(72)\/sqrt(9))**2*6 - ((-5 + sqrt(6)\/sqrt(3) - sqrt(2)) + sqrt(2) + (sqrt(242) + -3 + sqrt(2))**2).\nAnswer: -388 + 71*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47222220 and 1265.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 37, 47, 57, 67?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/7420 and -25\/77539?\nAnswer: 1550780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110613 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let g = 89 - 57. Let m = g - 35. Sort l, m, -1 in decreasing order.\nAnswer: l, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002916 rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 5600502.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3300 divided by -4.\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**2 - 2*l**2 + 51*l - 8*l + 3*l to q*l + d*l**2 + a and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1417*a + 17. Is 16 a factor of y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((50 - (17 + -7 - -1)) + 3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 230.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12094853, 12094872, 12094905, 12094952, 12095013, 12095088?\nAnswer: 12095177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266*q**3 - 29*q**4 + 266*q**3 - 15*q**2 + 39*q**2 wrt q.\nAnswer: -696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Let m be 30\/6 + (1 - 3). What is the third derivative of -9*c**6 + 15*c**6 - m*c**y + 2*c**6 wrt c?\nAnswer: 960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20634 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-12)*30\/4 + 0. Suppose -q*r - 16 = -1. Let l = -14 - -8. Put l, 5, r in decreasing order.\nAnswer: 5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -95 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5 - 10. Let h(j) = -4*j**3 + 2*j**2 + j. Let y be h(-1). Find the second derivative of o**4 + 4*o - l*o + 2*o - y*o**4 wrt o.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 49.024 and 0.6585.\nAnswer: 49.6825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 528 - 274. Let r = m - 254. Solve r = -y - 5*h - 15, 3*h - 3 - 1 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 246*x**2 + 243*x**2 - 479*x**2. Let p(k) = 4*k**2. Determine p(a(q)).\nAnswer: 400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 718 and 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i - 5*i**2 + i**3 - 2*i + 3*i + 5. Let n be t(6). Factor 8*c - 20*c**2 + 2*c**3 + 6*c**3 + 5*c**3 - n*c**3.\nAnswer: 4*c*(c - 2)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11297 - 282466\/25. Find the common denominator of (-6)\/(-2) + (-595)\/100 and a.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**9\/3780 + t**5\/20 - 13*t**4\/12 + 14*t. Let p(l) be the third derivative of d(l). Find the first derivative of p(x) wrt x.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**3 + 5*l + 4. Let o(s) = -s**3 + s**2 - s - 1. Let v(r) = f(r) - 3*o(r). Let i be v(-5). Let u = i + -3. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1228\/16 + 3\/(-4). Suppose -2*n - 2*f + 36 = 0, 0 = 4*n + 6*f - f - a. What is the greatest common factor of 35 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - 16. Suppose f*v + 3 = -d - 0, -5*d = -5*v - 10. Let c(l) = 2*l - 1. Let u(s) = -16*s + 5. Let w(r) = 4*c(r) + u(r). Determine w(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3\/7, -0.2, 2\/37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d - 4*d)*(-31 + 292 + 4)*(2*d**2 + 3*d**2 - d**2).\nAnswer: -2120*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -208025 <= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -128.0399, -3, -1\/2, 1\/6 in decreasing order.\nAnswer: 1\/6, -1\/2, -3, -128.0399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3411 = 4*n - 3177. Suppose 15*o + n = 14952. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-99)\/(11880\/48) - (0 - 534\/10). Solve 6 = -y*r + 47*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (24 - 20 - (2 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwcwwwwwwccwcwwww. Give prob of sequence cwcw.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1596\/(-7938)*9)\/((-2)\/7)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, o: 3, s: 1, z: 1}. Give prob of picking 1 o and 1 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, e: 1, b: 1, x: 11}. What is prob of sequence xeq?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2542903568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i - 9 + i + 3*i**2 + 7*i**2 - 2*i**2. Suppose 5*r = 17 + 3. Suppose -27 = -k + 4*k. Let z(y) = 4*y**2 - 4*y - 4. Determine k*z(a) + r*x(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1702, -4463, -7212, -9943, -12650?\nAnswer: -15327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*l - 365*l + 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1563345 divided by -312669\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -892.6 + 893. Let f = -7.3 - -7. Which is the biggest value? (a) -18 (b) f (c) 2\/7 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46457 - 31891. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/376182 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-8533)\/11925*-18?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 3*i - 2. Let b(u) = u**2 - 5*u + 5. Let m(o) = o**2 - 8*o + 7. Let g(x) = 3*b(x) - 2*m(x). Calculate -c(r) - 2*g(r).\nAnswer: -3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5108.6 * -10967\nAnswer: 56026016.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**3*t**3 + 4*h**3*t - 56*h**2*t**4 + h**2 + 3*h + t**4 + 11*t**2 wrt t.\nAnswer: -36*h**3 - 1344*h**2*t + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2482 and 438?\nAnswer: 7446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ttttootoitgttt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 - 5927*a**3 + 1239*a**3 - 4 + 0 - 5*a. Let y be b(-4). What is y rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (890*i + 844*i - 1860*i)*(-18 - 7 - 5)*(-2*i + 0*i + 4*i) to the form u*i + h + s*i**2 and give s.\nAnswer: 7560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1222*m**2 + 35*m + 37. Let l be a(-1). Calculate the greatest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7110 and 9539013?\nAnswer: 286170390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 1. Let b(m) = -m**2 - 9*m + 11. Let v = -11 + 6. Let q(i) = v*j(i) + b(i). Suppose 7*n - 155 = 38*n. What is q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 3774?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-250)\/140 + 4\/14\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29224223 by 3.\nAnswer: 29224223\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 - 10*i - 68. What are the prime factors of b(14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 10*s + 4. Let d be h(4). What is the tens digit of -1 - 1*(d - 69)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/(-5))\/(((-5)\/(275\/(-22)))\/(-1)*1)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 30 + 5 = 5*v, 4*p + 10 = -2*v. Let l = 722 - 719. Which is the nearest to -7? (a) -3 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102008, -203905, -305750, -407543, -509284?\nAnswer: -610973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c92a - -ac5?\nAnswer: 3d500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 2*z = 8*z. Which is smaller: z or 2\/401?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 13. Let j(q) be the second derivative of 0 + x*q**4 + 0*q**5 + 0*q**2 + 2*q + 1\/30*q**6 + 1\/6*q**3. Find the second derivative of j(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135963 is divided by 2517.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cixijiiccic. Give prob of sequence ccji.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, s: 6, p: 3}. Give prob of sequence zs.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*i - 123, -24*s + 25 = -19*s. Let a be (-322)\/(-46) + i\/1. Solve -3*m + a = 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 17*z + 83. Let w be j(-9). Suppose 0*s - 2*a - 8 = -s, -5*s = a - 29. Suppose -3 = 3*t - s*t. Sort w, t, -2 in ascending order.\nAnswer: -2, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*j - 84 = -108, 19*j + 133 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 59 = 4*i. Suppose 3*a = 2*d + 3 - 46, 0 = d - 2*a - 22. Calculate the remainder when i is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 2, c: 1, r: 1, w: 4}. Give prob of sequence wc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19201 rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 2}. Give prob of sequence tete.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -101*d - 68. Let j(v) = -47*v - 35. Give 21*j(l) - 10*k(l).\nAnswer: 23*l - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1543797301032 from 251.\nAnswer: -1543797300781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7*w**(1\/6))\/(w\/w**1*(w**4\/w)\/w)*((w**(-4)*w*w)\/(w**(-4)\/w))\/(w**(2\/5))**(-1\/3) assuming w is positive.\nAnswer: w**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 147584, 590189, 1327850, 2360573, 3688364, 5311229?\n\"Answer: a**3 + 147522*a**2 + 32*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -1069 (c) -23\/2 (d) 0.2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6\/11, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 117*v - 452. What is d(-31)?\nAnswer: 1687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/60 - i**4\/24 - i**2. Let f(n) = 12*n**2 + 14*n. Let r(l) = f(l) + 10*k(l). Let r(b) = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 2*t**3 - 1. Let f be ((-3)\/1)\/((-57)\/(-33) - 2). Let g(p) = -f*p**2 + 6*p**2 + 4*p**2 - 2*p**2. Determine g(r(q)).\nAnswer: -108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6) + 33\/((-2079)\/12)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 6 + 60. Let l = i - -46. Suppose -l = -r + 41. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*m - m. Let n be (-6)\/9 + m\/(-3). Solve 0 = o + n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -6 - (5 - 1). Let k(a) = 5*a + 5. Let l be k(3). What are the prime factors of l\/(-3)*36\/j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.00199923 + 0.002. Round c to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4587520 divided by 29?\nAnswer: -4587520\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -205*j - 461. Calculate v(-5).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3592724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/21*(-108)\/1296*12\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -20.081\nAnswer: 19.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 + 79 - (2 - 4 - 8 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*y = 10*s - 605, 5*y + 236 = 2*s. Solve 0 = -l - 125 + s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a0 - 8be7?\nAnswer: -9287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1033 and -0.3.\nAnswer: 309.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22.2*0.8\nAnswer: -17.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 4221055?\nAnswer: -4221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k**3 - 10*k**2 + 4*k + 2. Suppose 21 + 3 = 4*m. Let u(p) = 5*p**3 + 11*p**2 - 4*p - 1. Let i(y) = m*c(y) + 7*u(y). Is i(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2 + 102*q**3 - 22*q**2 - 51*q**3 - 48*q**3 - 5966 + 2*q with respect to q.\nAnswer: 9*q**2 - 46*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*v + v + 14 = 0, -4*o + 5*v = -13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**3 + 188*j**2 - 95*j - 559. Calculate z(37).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*g = -5*a - 4, 3*g = -12. Let s(c) = -14*c + 48. What is the least common multiple of 736\/69*(-6)\/a and s(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3227a8 - -d?\nAnswer: -322799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 12*z. Let g be l(-12). Solve 5*d = 5*u + 20, g = u + 4*d + 1 - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + f - f - f. Let x(k) = -36*k + 4. Let q(s) = -s + 1. Let d(v) = -12*q(v) + 3*x(v). Let z(o) = 5*o. Let a(w) = 3*d(w) + 56*z(w). What is a(l(i))?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*-525.\nAnswer: -47250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 893931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 1. Let y(s) = 3*s + 1. Let i(r) = 5*r - 22. Let h be i(3). Determine h*q(g) + 4*y(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 18*f - 42. Suppose -2*n - 4*x + 206 = 0, -2*x = f*n + x - 297. List the prime factors of n.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 11*n + 452. Suppose -n = 15*r - 16*r. What is the third derivative of -2*o**2 + 226*o - 7*o**4 - r*o wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 162424\/((-31)\/(-3)*3). Let k = c + -5239. Find the common denominator of k and 31\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-25) + 0)*(-10)\/(-20)*-2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.5771 - -12.61. What is the smallest value in 5, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 11) to base 10\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1253 - -1686. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 9*c - 20. Suppose 0 = c*t - 8*t + 6. Suppose 2*y = 74 + t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 677, 2, -0.11, 14\/3, -0.9 in increasing order.\nAnswer: -0.9, -0.11, 0, 2, 14\/3, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17161 or 11071?\nAnswer: 17161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2718 is divided by 301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 1, -2\/5, -1.7481?\nAnswer: -1.7481","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3997*h + 3911*h - 1720 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 18. Let l be j(-15). Let u be l\/5*70\/28. Find the third derivative of -5*k**2 + k**6 + k**6 + u*k**6 wrt k.\nAnswer: 960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 31.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -2.23 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (546*c - 546*c + 5*c**3)*(4 - 3 + 6)*(-1 + 2*c + 1).\nAnswer: 70*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -13. Let t be -6 - d - 6\/(-3). Let k = t - -4. Solve 2*n + k = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3939.5 + -3435. What is t rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 15 = b - v, 3*b - 18 = 5*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3554 + 2700. What is the remainder when z is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2 + 30278*n + 229189321 = 0.\nAnswer: -15139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7*c = -3*c - 832878, 4*c - 666308 = 4*b. Round b to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 985*t**2 + 478*t**2 - 258*t**2 + 2173*t**2 - 81*t**3 wrt t?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let x(m) = 3*m + 7. Let i(t) = -t**3 + 4*t**2 + 4*t + 4. Let l be i(5). Let p(w) = l*x(w) + 4*y(w). Suppose -4*v = -2*v - 8. Calculate p(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**5*j*j**(-2\/7))\/(j*j**16*j*j*j\/j**14*j) assuming j is positive.\nAnswer: j**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492 and 11685.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1821232 divided by -4.\nAnswer: 455308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.136049 kilograms?\nAnswer: 0.007136049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 36 = l, -2959*l = -5*c - 2965*l + 74 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05153 times 56\nAnswer: 2.88568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - 62. Let m(n) = -600*n - n**3 + 299*n + 6 + 10*n**2 + 300*n. Give m(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 4*v**2 - 4*v - 6. What is the tens digit of q(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:00 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-64))\/(6\/20).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 17758*l + 14161*l + 4237*l.\nAnswer: 36156*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 2*r - 71. Which is the nearest to -7? (a) -0.3 (b) r (c) 5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 41628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 11) in base 5?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -28. Suppose -m*y - 4 = -y. Let z = -4.6 + -0.4. What is the smallest value in z, y, 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.139316 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**9\/12096 - v**8\/3360 + v**6\/720 - v**5\/480 + v**3\/3 + 16*v. Let r(h) be the second derivative of w(h). Factor r(j).\nAnswer: j*(j - 1)**3*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9108.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -1\/3 + 1\/6*i**3 - 2\/3*i**2 + 5\/6*i = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/35 - 53*t**5\/120 + 85*t**4\/12 - 15*t**2 + 10*t. Let y(c) be the second derivative of n(c). Differentiate y(m) wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 4) to base 9\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27096? (a) -1\/4 (b) 18 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + z**2 - 3*z**2)*(44 + 52 - 85 - 12562*z - 64 + 52).\nAnswer: -25124*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*n + 13, m - 6*m = -4*n + 3. Let x(u) = 6*u - 121*u**n - 127*u**2 - 2*u + 254*u**2. Let s(h) = 4*h**2. What is x(s(p))?\nAnswer: 96*p**4 + 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:43 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19286988 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 2*s + 85. Let i = -12 - s. Let o = 0 + 0.1. What is the smallest value in o, i, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1999064 smaller than -9995323\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(3\/5)))**20)**(-34))**(3\/26) assuming h is positive.\nAnswer: h**(612\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/15391668 and 31\/3.\nAnswer: 15391668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228138166.\nAnswer: 2, 3, 371356361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 2*t - 1. Suppose 0 = -5*a - 2*r - 8, 0 = a - 5*r + 3 + 4. What is the units digit of p(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11135\/7638 + -55\/201. Calculate the common denominator of -115\/6 and r.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -664994*k + 1011511 wrt k.\nAnswer: -664994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 20. Determine b(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-898)\/(-740) - 21636\/18030?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32612 divided by -32612?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 173. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49939.\nAnswer: 49939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8*-1 + 52782\/24. Suppose 129*s - 132*s = -h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, y: 3}. What is prob of sequence ssyy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 37*d**2 - 4*d - 3. Let k be 39\/26*4\/(-6). Let n be v(k). Let i be (-1020)\/10773 + 4\/n. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (7 + (-4 - 9))) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 1.1, -3\/2, 3\/5 in decreasing order.\nAnswer: 81, 1.1, 3\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -363*p**4 + p**3 + 1454*p**2 wrt p.\nAnswer: -8712*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {s: 3, n: 2, i: 15}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9454, 18937, 28420, 37903?\nAnswer: 47386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 295 and 236.87.\nAnswer: 69876.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12558 and 10251514.\nAnswer: 30754542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:15 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 23*a**2 - 20*a + 17. Give u(5).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899695.9 minutes to nanoseconds.\nAnswer: 53981754000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(2\/3))\/n)\/n)**1\/((n*n**9\/n)\/((n*n**(-1\/4)*n*n)\/n)))**(-2\/25) assuming n is positive.\nAnswer: n**(91\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 251\/4 - 63. Let q = -62 - -60. What is the nearest to s in -5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -51667848, -103335701, -155003556, -206671413, -258339272, -310007133, -361674996?\n\"Answer: -g**2 - 51667850*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1278516009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26185?\nAnswer: 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrqqyyyrqyqyqqyiiyyy. What is prob of picking 2 q?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2217 = -2*x - 267, -2927 = -3*d - 4*x. Suppose 4*s = d + 175. Is 41 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -3.1. Let i = 2 + -2. Let t = u + i. Which is the second smallest value? (a) 1 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2 - 22*q - 4. What is a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2037624*i - 6112872. What is w(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x**2 - 2*x**3 + 0*x**2)*(3 + 56*x - 4 - 62*x) to the form d*x**3 + v*x + u + l*x**2 + m*x**4 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v**3 - 10*v**2 + 5*v + 12. Let i(c) = -6*c**3 - 9*c**2 + 4*c + 11. Let w(z) = -6*i(z) + 5*s(z). Let r be w(-3). Solve r*g - 4*g - 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 + 3464*d - 20783\/6.\nAnswer: -(d - 20783)*(d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (9 + -2)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11\/3))**(3\/2) assuming c is positive.\nAnswer: c**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.55286 and 0.6.\nAnswer: -0.95286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 0*w + 0*w)*(2 - 3053*w**2 - 14*w + 2858*w**2 + 15*w) in the form p*w + j + n*w**3 + o*w**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2213 divide 61877693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*s = -103599, -9*u + 11*u - 41436 = -2*s. What are the prime factors of u?\nAnswer: 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51851409.\nAnswer: 3, 109, 158567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387403.\nAnswer: 3, 31, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 11:17 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 5*t + 6. Let f be s(-7). Let a = f - 62. Calculate the remainder when a is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12 + 4)*(-2)\/2. Let n(r) = r - 5. Let x be n(k). Let v = -35 + 70. Solve x*c = 4*c + 3*s + 19, -v = 5*c + 3*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q - 15 = -69. What is the second derivative of -72*n**2 - 2 + 164*n - 66*n**2 - 140*n - q wrt n?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46194 is divided by 4605.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 69?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -2 - (4 + -9). Suppose -3*v + s*l + 32 = -18, 0 = -v + 5*l + 24. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18, -0.4, 1 in decreasing order.\nAnswer: 18, 1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284 and 104.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -21496287.\nAnswer: -4\/21496287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - a + 3*a)*(3*a + 6*a + 10 - 7*a).\nAnswer: 14*a**2 + 70*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 3. Suppose 3*y = -4*d + 5*d - 11, -4*d + 28 = -4*y. Let p be f(y). Solve 3*u - p = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2891.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*r = -296*r + 1302 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2245*c + 742*c + 755*c + 746*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m + 4*m - 5*m - 5*m. Suppose 8*g + 2*k + 17 = 3*g, 2*g + 5 = k. Calculate f(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3\/6 - 74*x + 2. Suppose -4*u + 0*u - 2*k = 16, -4*u = 5*k + 16. Let h(w) = w. Calculate u*h(r) + 3*z(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -32*z**2 + 1278*z + 1347. What is h(41)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9505452 by -2.\nAnswer: 4752726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cece when four letters picked without replacement from {e: 4, r: 2, c: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 21. Which is the fourth biggest value? (a) -1\/5 (b) -5 (c) l (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmh when three letters picked without replacement from {m: 2, h: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and (-440)\/(-45) + (-1)\/((-18)\/4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - x = 0, -u + 4*x = 3*x. Suppose l - 4*l + 9 = u. Suppose q + 72 = 5*f - 3*q, 2*q + 60 = 4*f. Solve -8 = 4*m, l*c + 1 = 3*m + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*u - 11*u = -60, 5*m + u - 134 = 0. Solve 8*f - m = 4*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4817 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6149, 6131, 6113, 6095, 6077, 6059?\nAnswer: 6041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -7*h - 1\/3*h**3 + 2 - 7\/2*h**2. Calculate b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 6680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x + 38*x + 14*x - 1 - 115*x + 23*x + 19*x.\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 210020112 (base 6) to base 4\nAnswer: 31321013030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 + -82. What is the nearest to -4\/3 in a, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/1 + (0 - 16). Let l be ((-10)\/25)\/(76\/s). Is l <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 1\/2 (b) -640176 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 59256*y**2 - 14337*y**2 - 16088*y**2.\nAnswer: -89681*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.018 + 59.518. Let h = p - 58.565. Round h to two decimal places.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 3*r + 9. Let a be d(-4). Suppose 0 = -a*y + 25*y + 40. Suppose -y*k = -282 - 688. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, h: 5}. Give prob of sequence hsss.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1158 and 2988.\nAnswer: 576684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1618872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 8992, -0.003, 0?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7260168173 + 520.\nAnswer: -7260167653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 3*t - 2*t**2 + 2*t**2 + 3*t**2 - t**2 + (-2*t + 4*t - 4*t)*(-4 + 4 + t) + 2*t**2 + t**2 - 7*t**2)*(31 + 62 - 9)*(0 + 0 - 1)*(3 - 3 + 2*t).\nAnswer: 672*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2103430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = j. Let h(f) = 56*f - 387. Let a be h(7). Solve a*i - j = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**1*z)*z**9)\/(z**(-3))**(10\/7) assuming z is positive.\nAnswer: z**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 14\/(-6))\/((-13)\/(-4641)). Let s be f\/102 - 1\/2. Which is the fourth smallest value? (a) 8 (b) 2\/7 (c) s (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(704) - 1*sqrt(704)) - (1 + (2*sqrt(704))**2)) + (sqrt(22) + sqrt(22)*1*4)\/(2*sqrt(200) + sqrt(2) - sqrt(2)).\nAnswer: -2817 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 - (8\/8 - 61). Let h = 232 + y. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.47282 * 3.\nAnswer: -10.41846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by (-66)\/(-99) + 32\/(-30) + 724\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2430)*1)\/((sqrt(10) - sqrt(70)\/(sqrt(7)*-2))*-2).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipopzizzzi. Give prob of sequence ipi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 888*f**4 + 1677*f**2 - 15*f - 15. Let i(d) = d**4 - d**2 + d + 1. Let m(g) = 15*i(g) + l(g). Find the third derivative of m(x) wrt x.\nAnswer: 21672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -62. Let a be ((-60)\/(-50))\/(o\/30). Let c be a\/4*1\/(-3) + -2. Sort 4, c, 7, 3.\nAnswer: c, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14354792 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7241, 28691, 64439, 114485, 178829?\nAnswer: 257471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 10, -0.5, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Is 10 a factor of q\/5 - (-534)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3520.414 to zero decimal places.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008523 to five decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -4 (b) 1\/6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 + 0.6. Which is the second biggest value? (a) -0.5 (b) 1\/4 (c) 4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 10 - -13 - (-4 + 8 + -8)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most -645\/12874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331971 divided by -717.\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -350*v**3\/3 - 55*v**2\/2 + 1307. Let j(y) = -13*y**2 - 2*y. What is 55*j(n) - 2*r(n)?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-18 + 19 - 11)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/14825 and -79\/8302?\nAnswer: 207550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5*(1 + 0\/8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 26. Suppose h + 3*l - 17 = 0, 2*h + n*h - 18 = -2*l. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4\/4 - 1884*a**3 + 1190652*a**2 - 9405024*a = 0?\nAnswer: 0, 8, 1252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -387.0324 * -1\nAnswer: 387.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -28809*40652\nAnswer: -1171143468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 10*y + 139. Give f(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1445*k + 1480*k + 7856*k**2 - 2*k**3 - 2927*k.\nAnswer: -2*k**3 + 7856*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.5 - -27.44. Which is the second biggest value? (a) 5 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/3)*a)\/(a\/a**3))\/((a*a**(-6))\/((a*(a\/((a*a**(2\/11))\/a))\/a)\/a))*(a**8*a)\/a**(-1\/3)*a**(-2)*a**(-3)*a assuming a is positive.\nAnswer: a**(152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925108098?\nAnswer: 2, 11, 137, 241, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 60*((-50)\/(-5))\/(912\/19)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 9*d = 7*d - 12, -4*a + 332*d = 351*d + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.8. Let x = -0.47 + 0.17. Which is the third biggest value? (a) x (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1116 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000 - -1010101?\nAnswer: 10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -16. Let c = -5 - t. Factor -f**3 - 5*f + 3*f + 3*f**2 + 0*f**c.\nAnswer: -f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*c**5 - 60*c**4 - 28*c**2 + 5 wrt c.\nAnswer: -540*c**2 - 1440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -199*n. Let r(o) = 153160*o. Give y(r(l)).\nAnswer: -30478840*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwnbxoo. Give prob of picking 1 b and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448679*o = 448677*o + x + 14, -11*o + 42 = -2*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/3822 and 97\/5096?\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 3, -234, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/21 and 61\/2618.\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 520. Let v be (200\/1750)\/(1 + (-422)\/k). Which is smaller: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i + 3*q = 31*i - 11997, -q + 12001 = 3*i. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -145\/56 (b) 2\/9 (c) -2 (d) 5 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37\/4 + -43\/4. Let s = 8 + -9. Are y and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.7 and -154.\nAnswer: -569.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 5. Let v be -1 - 5\/(-15)*-12. Calculate j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 18*u - 62952 = -10*u. List the prime factors of u.\nAnswer: 2, 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47567020, -95134038, -142701056?\nAnswer: -190268074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + 1067*x**2)*(x + 3*x - 5*x).\nAnswer: -1067*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**22)\/j*j**(1\/16))\/((j*j\/j**(-5))\/(j*j\/j**(-3\/23))) assuming j is positive.\nAnswer: j**(-9865\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + b. Let c(a) = 9*a**3 + a**2 + 7*a - 1. Let u(f) = -c(f) + 6*l(f). Let s be u(1). Does 12 divide (0 - 6)*1*s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25340 - 25340 - 17182*n**2 - 8476*n**2 - 7497*n**2.\nAnswer: -33155*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4014 or -4015?\nAnswer: -4014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v = -30*v - 6. Suppose 2*x = -v*x + 104. What is the remainder when 50 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Let b be (-2)\/(5\/(20\/(-8))). Suppose -f*p + 2 = -b. Calculate the smallest common multiple of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -16.93. Let x = v - 0.57. Put -0.4, 4, x in increasing order.\nAnswer: x, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**(-1\/33)*v\/v**3*(v**16)**(-28) assuming v is positive.\nAnswer: v**(-14783\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let a = 31 - 31. Suppose -5*w + 0*w + 35 = a. Solve -2*t = -4, 2*f = w*f - d*t - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 28 (b) -2\/7 (c) 37 (d) -5 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 278.72 + -284.72. Let t = -120\/13 - -1346\/143. Which is the nearest to -0.1? (a) x (b) 1\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -5 + 6 + 0\/18. What is the smallest value in 4, -4, b, -0.032?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-5)*d))**(2\/31) assuming d is positive.\nAnswer: d**(10\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-119)\/11 + -1 - 32\/176. Let n(u) = -u**2 - 15*u - 16. Let g be n(x). Suppose 0 = 4*a + s + 93, 5*a - 2*s = g - 133. Are a and -24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 + -61)*(-5)\/(-2)*504\/(-108).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*j + 23 = -12, 0 = 142*u - 141*u - 6*j - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4169*q + 1267.\nAnswer: 4169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 11. Let f = c + -32. Let a = f - -11.54. Round a to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + -5*(sqrt(363) + 2*sqrt(363)) - (-5 + -2*sqrt(300)))**2.\nAnswer: -1340*sqrt(3) + 53893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6956627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, -2\/5, 2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 2*h**2 + h. Let j be k(1). Let p be 53\/((-1)\/(j - 1)). Round p to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436 or 4\/163?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2*s - 4, -5*b - 5*s = -4*s + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1126198 by 1126198.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 11*a**2 - 22*a - 107. Calculate r(-7).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2*w - 5. Let f be x(4). Suppose f*u - 255 = -0*u. Suppose -4*q + u = q. What is the lowest common multiple of 9 and q?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 4:31 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3*z - 2*z)*((-4 + 5 + 1)*(1632*z + 483*z - 523*z) + 4 + z - 4).\nAnswer: -3185*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 2*f - 15. Let p be g(-6). Let o be (-18)\/p*35\/2. List the prime factors of 42\/o*30\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 19*a = -18. Suppose -a*u + 12*u = -67110. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**2\/11 - 30*o\/11 + 84\/11.\nAnswer: -6*(o - 2)*(o + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3925*h + 2471*h = 3382*h + 106758 + 164058 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17393620.99806 + -17393474. Let n = t - 147. What is n rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/89, 1\/6, -17, -4, -2.3, -0.3?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/10 - u**4\/12 - u**3\/6 - 4*u. Let v be t(-1). Let w(s) = -s**3 + 2*s**2 + 2*s + 1. What is w(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p - 4*p)*(2 + 1 - 2 + (357 - 119 + 147)*(5 - 3 + 0))*(-2 + 4 - 1).\nAnswer: -1542*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -267 + 267. Solve 0 = -2*j + 5*q - 11, d = -2*j - 2*j + 2*q - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9648010 - 14188010. What is t rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/(-190))\/(6\/(-27) + (-236)\/(-90)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9555 and 195?\nAnswer: 9555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**10\/n*n*n*n**0*((n*n**(1\/12)*n)\/n)\/((n*((n*n**(6\/5)\/n)\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(773\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -738\/311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 53.4. Let p(u) = -u**3 + 7*u**2 - 7*u + 2. Let d be p(6). Which is the second biggest value? (a) q (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 431000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.044871 * 0.035.\nAnswer: 0.001570485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16878718323818.000724 + 16878825854745. Let o = j - 107531305. Let r = o + 378. What is r rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 442534\/(-7) - (-53)\/((-2968)\/48). What is y rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273 by -109125.\nAnswer: 91\/36375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.8, -2.7, -2 in ascending order.\nAnswer: -2.7, -2, -0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f - 57. Give q(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3118.209 minutes?\nAnswer: 187092.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*i + 2*t - 14, 0 = 2*i + 6*t + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(0 + 5 + -2). Solve j*f = 2*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*12\/32*(-20)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -8707*p**7\/42 - 74*p**3\/3 - 9*p**2 + 8612*p. What is the second derivative of m(x) wrt x?\nAnswer: -174140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 238. Let b = o + -154.0163. What is b rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.5 + -9. Let h = 19 + -20. Which is the third smallest value? (a) h (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 525063\/5 - 105364. Let o = -350 - h. Factor 0*g - 2\/5*g**3 + 9\/5*g**4 + 0*g**2 - o*g**5 + 0.\nAnswer: -g**3*(g - 1)*(7*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021795705143 rounded to 7 dps?\nAnswer: -0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 37*d**2 - 269*d - 5607. Calculate u(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(-1))*i)\/(i\/i**(1\/9))*(i**(1\/2)\/i)**19 assuming i is positive.\nAnswer: i**(-169\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3197.482 milligrams to tonnes.\nAnswer: 0.000003197482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 0*f + 5*f + (-2*f + 3*f + 0*f)*(0 + 1 + 2).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6767917130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 7 = -r, -7*r + 29*v + 139 = -10*r + 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 0.01. Let s = n - 0.31. What is the smallest value in s, 1, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y**3 - 17*y**2 - 119*y + 17. Let k(o) = 2*o**3 + 3*o**2 + 20*o - 3. What is 6*j(q) + 34*k(q)?\nAnswer: 2*q**3 - 34*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0 - 17) + 0 - 3. Let j be (-28)\/(-7) - d\/(-6). Which is the nearest to 2\/5? (a) 3 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 126. Which is the nearest to 2\/9? (a) -3\/8 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -4 - 9) + (-8 - -9) + -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2026 - 2026.961. Round v to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = -2. Let x(y) = 2*y - 2. Let w be x(2). Solve -q*f + 22*f**w + 24 - 7*f**2 - 6*f - 47*f = 0.\nAnswer: 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/44 and -87\/68.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750\/(-49) + (-824)\/2884?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide (4 - 6)\/(-2)*233\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.68173ml to litres.\nAnswer: 0.00468173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10570 and 194488.\nAnswer: 972440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13033?\nAnswer: 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -13.7. Let r = i + 2.6. What is the second smallest value in -2, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2063739.9 months?\nAnswer: 17197.8325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14665 and 1015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 166 = -163. Suppose -w*g - 136 = -43*g. Let x be (-200)\/6 + 3\/9. Is x smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 956.840774 rounded to 1 dp?\nAnswer: 956.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -836031\/17 - -49202. Let f = 5611\/170 - u. Let c = -370\/319 - -147\/29. What is the common denominator of c and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 2*u**2 - u + 1. Let y be o(-2). Let g = 15 - -21. Suppose 50 = 5*p - 3*t, y*p + 2*t - 5*t = g. What is the remainder when 13 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (10 + 9) - 3 - (19 + 6)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76443 is divided by 38201?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 213*o + 1104. What is y(-5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1062916*v**2 + 2250*v wrt v?\nAnswer: -2125832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:08 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3164560, -6329156, -9493752, -12658348, -15822944?\n\"Answer: -3164596*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.899864 litres in millilitres?\nAnswer: 4899.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954817.\nAnswer: 67, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-240)\/(-4))*-3*-5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 16. What is the remainder when 120 is divided by y(17)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482 - 11.6909?\nAnswer: 1470.3091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 9. Let t be 9\/(-24)*-2*(-2504)\/(-313). Let o(p) = 7*p + 17. Calculate t*o(x) + 11*i(x).\nAnswer: 9*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24014371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-13) + (-752)\/4888.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + f + 10. Let h be j(-6). Calculate the greatest common divisor of 16 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 30 = 5*b, 24 - 26 = -m + b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 23?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**8\/80640 - m**7\/20160 + m**5\/60 + 4*m**2. Let t(h) be the third derivative of k(h). What is p in t(p) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-96))\/(20\/3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2312 and 2315 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 337 + 345 + 339 - 1021.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8331362*f**4 - 11503922 wrt f?\nAnswer: 33325448*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 + 5*s + 2. Let h = 6 - 11. Let u(o) = -7*o**2 + 6*o + 2. Determine h*b(g) + 4*u(g).\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 248.7360536.\nAnswer: 250.7360536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4676, 19721, 45144, 80945, 127124?\n\"Answer: 5189*b**2 - 522*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/420)\/((-71)\/355)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**4\/14 + 2*w**3\/7 + 2*w**2\/7 - 16. Let h(x) = 0. What is x?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 18. Suppose -102*j - 201*j + 530 + 985 = 0. What is b(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iskvvvvk. What is prob of sequence si?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20554222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Let x = 0.9 - 17. Let s = x - -16.4. What is the third smallest value in s, 4, i, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/(-8))\/1*(-2400)\/875)\/(6\/(-20)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 15*p - 23. Let l be k(13). Factor 3*d**5 + 52*d**l + 9*d**4 - 4*d**3 + 15*d**4.\nAnswer: 3*d**3*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-28) + (1 - 3)*1888\/(-14). What is the greatest common factor of 390 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 7621*s**2 - 2580*s**2.\nAnswer: -10201*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-1 + 2)*-1. Let f(m) = -m**4 + m**2 - 1. Let j(l) = 3*l**4 - 7*l**3 + 15*l**2 - 17*l + 8. Let w(g) = p*j(g) + 6*f(g). Factor w(n).\nAnswer: 3*(n - 3)*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, g: 1, x: 1, w: 4, j: 4}. What is prob of sequence wxga?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 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 -17 = j - 22. Suppose 4 - 1 = -3*g + 3*k, j*g - 30 = -2*k. Suppose 2 + 70 = g*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77, 148, 219, 290, 361?\n\"Answer: 71*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 1, s: 1, t: 2, e: 1, i: 1}. Give prob of picking 1 e, 1 t, and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -282 - -286. Solve -5*h + k = 15, 0*h + o*k = -3*h - 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3782?\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41\/2 of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byfyfb. Give prob of sequence yby.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 10*a - 31*a = -78. What is the third smallest value in a, 2\/7, 8, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302182267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.4495um in meters?\nAnswer: 0.0007084495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 70 = -7*r. Find the first derivative of 12*f - r*f + 42*f**2 - 60 - 2*f wrt f.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 5, 10 = 5*n + 3*p. Let h be (n\/(-11))\/((-2486)\/(-4)). Let y = 1353611\/109384 + h. What is the common denominator of y and 39\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 259840*h - 129917*h + 145 - 129922*h. Let c(g) = -20*g. Give q(c(l)).\nAnswer: -20*l + 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 701.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 156332 divided by 68?\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37805*n*r**2*v*y - 2*n*r**2*y - 26*n*r*y + 692*n*r - n*v*y - 2*n*y + 2*r*v*y wrt r.\nAnswer: -75610*n*v*y - 4*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g + 453. What are the prime factors of g?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 598 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j)**(1\/10)*j*j**(-1\/2)\/j*j**(2\/11) assuming j is positive.\nAnswer: j**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.15 (b) 1 (c) -1\/4 (d) -1.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 18, 8, 70, 6, -3 in increasing order.\nAnswer: -3, 6, 8, 11, 18, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6*2\/(-70))\/(6\/(-20)). Which is the fourth smallest value? (a) 3 (b) g (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -6. Let q be ((-2)\/(-6))\/((-1)\/3). Let g be 22\/(-28) - q\/2. Put 5, g, w in ascending order.\nAnswer: w, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*m = -8058 + 483 - 7605 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 16*q = 12*q - 308 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6735310.\nAnswer: 2, 5, 19, 35449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -516\nAnswer: 1\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x. Let l(v) = -2*v**2 - v. Let n(k) = -2*l(k) - 2*s(k). Let g(r) = 9*r + 2. What is n(g(f))?\nAnswer: 162*f**2 + 72*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50355.\nAnswer: 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153987987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23525.\nAnswer: 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 5\/(15\/(-9)). What is the highest common divisor of 7 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Let x be 20*-2*(-15)\/o. What is x rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4218\/261287 - -8\/1313. Let q(g) = g**3 - 2*g**2 + 2*g - 1. Let y be q(1). Which is greater: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**3 - 2560100*l**2 + 409633280672*l - 409630720576 = 0.\nAnswer: 1, 320012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 10868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1176*n**2. Let r(x) be the first derivative of -2*x**2 + 2557. Determine r(i(s)).\nAnswer: -4704*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d - 28. Calculate the smallest common multiple of 14 and y(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*b + 12 = 4*w + 449*b, -3*w + 5*b = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248 + 2033\/8. Let d = -32 + 24. Find the common denominator of m and 4 - 3\/d*-78.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 times 16?\nAnswer: 4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1476\/16 - 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 12*m + 1746. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-6))\/(-5)*42\/(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/194247 and 40\/47799?\nAnswer: 9129609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:51 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 = p. Suppose f - 16 = -p. Suppose 2*z + d = 11, d + f = z - 4*d. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/30498 and -107\/34086?\nAnswer: 579462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8612.50996 + -8615. Let r = c + 2.48. Round r to 4 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**5 - 31*a**4 - 251*a**3 - 189*a**2 + 11*a. Let w(g) = g**5 + 15*g**4 + 126*g**3 + 94*g**2 - 6*g. Let v(o) = -6*r(o) - 11*w(o). Factor v(l).\nAnswer: l**2*(l + 1)*(l + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 1\/4 (c) 14 (d) -2\/25387 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7520 and 4230?\nAnswer: 67680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 257. Let p = -49 + 49. Let k be c(p). Suppose 19 = 3*f - k. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 389626 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*b - 35 = -0*t, -t - b = -35. What is the remainder when 67 is divided by t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*b**2*c**2 + b**2 + 3935*b*c**2 - c**2 - 27511 with respect to b.\nAnswer: -20*b*c**2 + 2*b + 3935*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 80*b - 84*b = 36, -4 = 4*b for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 97*l**2 + 31 + 57*l + 11 - 57*l in the form c + i*l + u*l**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 22*i + 22*i)*(2*i + 6*i - 2*i) - i**3 - 1 + 1.\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -5*g + 3*a, -g - 17 = -3*g - 5*a. Let r(c) = c**3 - 8*c**2 + 8*c + 8. Let m be r(8). Suppose 67*s + 15 = m*s. Solve s*n = -n + g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + h - 143 = 0, 3*y = 3*h + h + 209. Let z(n) = -5*n**2 + n. Let k be z(1). Calculate the remainder when y is divided by (k\/5)\/((-2)\/60).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (22679\/((2\/(-4))\/(-1)))\/(23 - 21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/48*-4*(-2)\/(20\/(-3)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -0.3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.27*0.02.\nAnswer: 0.0254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.62 + 2.768. Let q = 0.148 - y. Are q and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 111, 167, 223?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q + 405. Let u(v) = 5*v + 417. What is -4*r(l) + 3*u(l)?\nAnswer: -13*l - 369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.7377084 to 2 dps.\nAnswer: 8.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1225 - b?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - ((-1)\/1 - 0). Let r(k) = -k**3 - k**2 - k + 8. Let p be r(0). Let h = w + p. Solve -3*n + 19 = 5*q, -4*n - 23 = -q - h*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + -58. Let f = d - -123.028. Let q = f - 0.479. What is q rounded to 2 dps?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13)**(2\/41)\/(h**17\/h**17))**(-1\/8) assuming h is positive.\nAnswer: h**(-13\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 38 - (-4 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23\/2*c**3 - 10*c**4 + 0 + 0*c - 3*c**2.\nAnswer: -c**2*(4*c - 3)*(5*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 9*z + 2*j + 4 = 0, 5*z = 3*j + 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 6*s + 1 - 5*s)*(-157 + 73 - 31) to the form l*s + q and give q.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 376 - 130. Let n = q + -249. Sort 4, n, -3\/5 in ascending order.\nAnswer: n, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h**2 + 5*h + 9*h**2 + 15*h**2 - 12*h as g*h + t + q*h**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1224 and -7\/153.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(256))\/((sqrt(72)\/sqrt(3))\/sqrt(8))*5.\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j**2 + 1. Let w(s) = s**2 - 1. Determine -r(t) + w(t).\nAnswer: -7*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14983346?\nAnswer: 2, 7, 829, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/65)\/((-84)\/9520)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-18 + 2032\/48).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*a - 23*a - 62*a + 24*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdhddddgdddhdghhhhg. Give prob of picking 1 g and 1 h.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 9*w = -68. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49, -63, -69, -67, -57, -39, -13?\n\"Answer: 4*w**2 - 26*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5657 + -3235. List the prime factors of b.\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*g - 219. Suppose -4*a = 2*z - 26, z - 6*z + 41 = 4*a. Suppose 0 = 2*h + 4*m - g, -a*m = 2*h - h - 68. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/5 - 64*y**3\/5 - 474*y**2\/5 + 1144*y\/5 - 121 = 0. What is y?\nAnswer: -55, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -875 divided by 5\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 2*a**2 - 11*a + 21. What is i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 642522207.776?\nAnswer: 642522207.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 - 3)*(229 + 11*z**2 - 229).\nAnswer: -154*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b7 (base 14) to base 5.\nAnswer: -12240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let h(t) be the third derivative of t**8\/6720 + t**5\/30 - t**2. Let c(q) be the third derivative of h(q). Give c(p(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*l - 142, 0*w + 2*l + 280 = 2*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734690089?\nAnswer: 7, 29, 1187, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(24)*-1)\/sqrt(8) - sqrt(48)*2) + -3))**2.\nAnswer: 216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3 - -5)\/(-1). Let n be (x\/12)\/(3\/(-36)). Suppose 3*d + 109 = n*r + 17, -5*r + 3*d + 118 = 0. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-117)*(-6 - 20 - 4). What is the nearest to -5 in 0.5, r, -1\/3, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/12)\/(-2)*-3*-9*(-27)\/14094\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.646625 rounded to two dps?\nAnswer: 1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452503 is divided by 121017.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2 - 2 - 3)*(2 - 11 + 30) in the form v + b*h and give v.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31520262 and 471.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 17 + 11. Let i be v\/16 - 3\/(-4). Is i <= 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o, 0*o = -v - 4*o + 3. Suppose 4*h = 4*c + 72, -v*h - 3*c + 62 = 2*c. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2)\/((y*y**(3\/5))\/y))\/(y*y**(2\/7)*y)**(-12))\/((y**(-2\/7))**(1\/39)\/((y**(-1\/4)\/y)\/y*y*y**(-6))) assuming y is positive.\nAnswer: y**(14887\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14 - -12)*17\/(-2). Let g = 116 - i. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 47*y - 56. Let r(i) = i**2 - 39*i - 56. Let k(g) = 2*q(g) - 3*r(g). Calculate k(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkkkddvqzdkdkdzd. What is prob of picking 1 k, 1 q, 1 z, and 1 v?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298114699?\nAnswer: 73, 4083763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 5\/44?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0991, 0.12, 0.1 in decreasing order.\nAnswer: 0.12, 0.1, -0.0991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 20 = -10. Let g be 3*6\/(-45)*i. Let r = 6 + g. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 12\/3)\/(1*-1). Suppose 6*c + z*c = 3*c. Suppose -4*f + 260 = 4*b, c = -3*f - b - 3*b + 192. Calculate the remainder when f is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/28 + -5 + 185\/35. Sort 4, q, -74.\nAnswer: -74, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-27)*(18 + (-144)\/10). Solve -m*k = 5*g + 57 - 36, 0 = k + g + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-2)\/(-4))\/(84\/(-24)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/10*77\/22 and 95\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19413\/(-23008)*((-32)\/(-6))\/4*-24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 104086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 460 - 456. Let l be 2\/(-12)*(-1 - 1). What is the second smallest value in l, 0.3, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3*v**2\/2 + 2*v - 11. Let c(i) = -8*i + 7. Let h(s) = 4*c(s) - 11*p(s). Calculate h(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*x + 17, 3*c + 0*c = 5*x - 35. Suppose -3*f - 33 = -3*y, 0 = 5*y - 5*f + x*f - 55. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d**1*d)\/d)*d**3*d**(-5)\/d**4)\/(d\/(d\/(d**(-3)*d))*d**4*d*d*d*((d*d*d**(1\/6))\/d)\/d*d\/(d\/d**(-6)*d)) assuming d is positive.\nAnswer: d**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3575 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**7\/490 + 3*p**6\/280 - p**5\/14 - 3*p**4\/7 - 158*p**2. Factor j(w).\nAnswer: 3*w*(w - 3)*(w + 2)*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 138 = 61 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17314304 divided by -14?\nAnswer: 1236736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-38)*(-10)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 9*z + 8. Let i be (z\/8)\/(1\/98). Let j = i - 32. What is the greatest common divisor of j and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/56? (a) -3 (b) -2 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 2 - 2)*(14*l**2 - 6*l**2 - 9*l**2)*(4*l + 7*l - 2*l) + 6*l**4 - 3*l**4 + 6*l**4 as f*l**3 + r*l**2 + w*l**4 + n + c*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31715, -31710, -31705?\n\"Answer: 5*x - 31720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1506*i**2. Let u(z) = 4*z**2 - 3*z - 6. Let b(f) = -9*f**2 + 7*f + 14. Let l(n) = 3*b(n) + 7*u(n). Give a(l(s)).\nAnswer: 1506*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 398263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (102\/19)\/(-14 - (-19491)\/1387). Determine p so that 36 + n*p + 289\/4*p**2 = 0.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 323185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 128 + 7313112?\nAnswer: 7313241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, m: 3, o: 1, l: 3, d: 1}. What is prob of sequence emm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {q: 4, b: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1226834?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 0.4 (c) 5 (d) 1\/845 (e) -1\/3 (f) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjrjjjjjrjrrjrjjrrr. What is prob of sequence jrjj?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -796.1 - -796. Let b = -0.03 + 2.03. Suppose 4*d - 4 = -0. What is the closest to c in 0, b, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1157 or 1156?\nAnswer: 1156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 12*i**2 - 8*i - 11. Calculate g(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + 20 + -11 + -18 + 0 + 11.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:18 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193\/2 + -120. Let j be 80\/(-321) - (-4)\/12. Let h = -4511\/1070 - j. Find the common denominator of f and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17397, -34871, -52345?\nAnswer: -69819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 82980301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from vvjpnlpjpppvjln?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 17. Solve m*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4311 + 4304. Which is the nearest to 1\/2? (a) w (b) 0 (c) -3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**4 - z**2 + 1. Let p(h) = 3*h**4 + 2*h**3 + 3*h**2 - 2. Let s(j) = -3*p(j) - 6*q(j). Suppose s(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -61, -134, -237, -370, -533, -726?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16781.5 + 16781. Which is the closest to 415? (a) 3 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 16. Let h be c(13). Let o(p) = 3 + h + 3 - 3 + 107*p. What is the tens digit of o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7463, -7469, -7487, -7517, -7559?\nAnswer: -7613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrc when three letters picked without replacement from cchhhhhcchhchhhrhh?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-6 + 3 - (-145 - -91))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 6*a + 48*a - 174 = 0, -9*j + 33 = -3*j - a for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 15 = -5*n, 2*n + u = -4*u + 6. Suppose -s - 3 = -3*g, 4 = 3*s - g - n. Suppose -4*i + 7 + 1 = -2*p, 19 = 5*p + s*i. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10173621 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 688420368 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 29.1. Let f = 4.6 - -0.4. Let k be (-9)\/16*4\/3. What is the nearest to j in f, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3024.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/14 - 1\/14. Let j = -0.0051 - 5.9949. What is the closest to 0.1 in s, j, -4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 45?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 16, h: 2}. What is prob of picking 3 r?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 2*t**2 - 3 + 2*t**2 + (250*t + 98*t - 91*t)*(0 - 2*t + 0) to the form s*t + a + v*t**2 and give v.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 30*v + 8 - 9 to w + c*v and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406, 545, 786, 1135, 1598, 2181, 2890, 3731?\nAnswer: 4710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*((-106299)\/(-1023) + -108)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a + 3*a - 3*a)*(-4*a**4 + 4*a**4 - a**4) + 3*a**5 + 0*a + 0*a + 2 - 2 + 2*a**5 + (0*a**2 + 2*a**2 - a**2)*(-4*a**3 - 8*a**3 + 4*a**3).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 3*j**2 + 10*j - 4. Suppose -o + 6 = -2*s, -5*o - s = 2 - 10. Let z be q(o). Which is the third smallest value? (a) z (b) 2 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 39105?\nAnswer: -1\/39105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1 - -1) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.41 + 0.11. Which is the third biggest value? (a) -0.1 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (84 + -82)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*x - 81*x = 2*u + 9, 0 = 5*u - 5*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 - 6*w**2. Let j(n) = -31 + 17*n**2 - 8*n**3 + 31. Give -4*j(y) - 11*o(y).\nAnswer: -y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzz. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*j = 882*j - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.61231507 + 0.612. Round h to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*j = 2, 4*t + t - 10 = 5*j. Suppose -t*c + 13 = -3. Solve 5*m = 2*m - b + c, -4*m + 14 = 2*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-19 - 1) + -26 + 18 + -34 + 13.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 281 + -270. Let c(w) = 2*w**3 - 23*w**2 + 13*w - 18. Let n be c(y). Solve 3*s + 8 = 4*h - s, n*s + 16 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1343.4 + -1238. Let n = a + -104.849. What is n rounded to 2 dps?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, e: 2, p: 7, f: 3}. What is prob of sequence ea?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/13 + 440*z\/13 - 24200\/13 = 0. Calculate z.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let p = 1.6 - y. Let u be ((-3)\/5 + -1)*2045\/(-4908). Which is the nearest to -0.1? (a) p (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4376756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -4*u + 4*p - 25, u + 2*p + 10 = 0. Let f = 11 - 3. Suppose u = -s - 4*y + 23, s + y - f = 2*y. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 + -2. Let c = f - -1. Let s be ((-1)\/(-14))\/((-488)\/(-2562)). What is the nearest to -0.1 in c, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46628*i**4 + 6*i**2 + 142792*i wrt i?\nAnswer: 559536*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 3, -1\/2, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*i - 46 = 37, -5*y + 2*i + 376 = 0. Let p = 80 - y. Calculate the remainder when 29 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.036 - -0.636. Let y = -0.5 + n. What is the nearest to y in 0.09, -3\/7, -0.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -5*s**3\/6 - 5*s**2 - 19*s. Let y be k(-3). Solve -2 + 12 = y*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 21*p - 1. Let b be i(1). Solve 0 = 5*l - 0*l - b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -0.47?\nAnswer: -6.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 2, -1\/10, 0.2, -28\/475?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530775769.\nAnswer: 31, 17121799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-1 - -1)\/(-1). Suppose -6 = -a*r, 3*r = -2*w + 10 + 1. Let v = -9 - -7. What is the nearest to w in v, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5931 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*12\/9. Let o be h\/(-11) - 40\/22. Sort -4, 0, o in decreasing order.\nAnswer: 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(2\/13))\/r**22 assuming r is positive.\nAnswer: r**(-245\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 - 11484*m\/5 - 103599\/5.\nAnswer: 3*(m - 3837)*(m + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -n - 41 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1621 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101111000010100 - -111110011110?\nAnswer: 11110110110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1654100 (base 7) to base 6\nAnswer: -4545405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -410\/107 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109\/(2398\/154)*147\/(-14)*(-4)\/(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -503311, -503309, -503307, -503305, -503303, -503301?\n\"Answer: 2*d - 503313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -99, -991*w + 1 = -26*t - 993*w + 49 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9714 plus -3?\nAnswer: 9711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**3\/3 - j**2 + 2*j - 916. Let o(a) = a**2 - 3*a + 3. What is -3*o(n) + 4*u(n)?\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 601 - 108. What is the highest common factor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -11135?\nAnswer: 5567.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaz when four letters picked without replacement from {q: 4, l: 4, a: 9, z: 3}.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15690 is divided by 56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i - 10*i - 27*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1038\/54 + -19)\/((-8)\/6). Let h = 0.1 + -0.5. Let k = -0.34 - -3.34. What is the third biggest value in h, k, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 12, 4*g - 32 = -3*c - c. Suppose 5*r - 18136025 = -4*x, -2*x + 1650178 + 7417847 = g*r. Round x to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**5 + 4*m**4 + 4*m**3 - 24*m**2 + 24*m. Let r(v) = 4*v**5 + 4*v**4 + 5*v**3 - 26*v**2 + 26*v. Let x(j) = 4*r(j) - 5*t(j). Solve x(c) = 0 for c.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6761546 and 8364.\nAnswer: 1663340316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/14 - (74 + 0 + -57).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 194*b - 28. Calculate the least common multiple of k(2) and 14.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273 - -436. Let n(d) = -8*d - 39. Let q be n(7). Let p = q + y. What is p rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 3*h**2 + 4*h + 5. Let o be a(-2). Suppose o - 41 = -4*i. Let p be (-5)\/11*4\/i. What is the smallest value in 6, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1162 - 1156. Solve 2*l - p = l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41696?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = 0, 0 = -2*w - w + 2*c + 34. Solve 2*a - w - 2 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3863?\nAnswer: 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 293*g - 1 + 9 - 162*g - 152*g. Is s(-8) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 277104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 461?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-38)\/(-10)*(-12 + (-34)\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/38 and -41\/209.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937 + 2*j - 939 - 998 - 10*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + -1 - (6 - 4). Let g(j) = j + 31. Let q be (30 + 0 + -4)*2\/(-4). Let y be g(q). Solve 4*a + 4*f = -y - k, -a - 11 = 2*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrrrjjrrrrrr. What is prob of picking 2 j and 1 r?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -24*n + 173. Let g be p(7). Solve g*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -948370\/3601 - -3424\/13. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.38 equal to 0.0370276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 812 = 3*z. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 2*s**2 + 1 - s**5 + (3 - 3 - s)*(2*s**4 - 2*s**4 + s**4) - s**5 + 2*s - 2*s.\nAnswer: -3*s**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -16 (c) 4 (d) -4 (e) -173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 5*r**4\/4 + r + 2. Let j be c(1). Let w = 10 - j. What is the highest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 9*t**5\/8 - 543*t**4\/8 + 3645*t**3\/8 - 7905*t**2\/8 + 3033*t\/4 - 159 = 0.\nAnswer: 1\/3, 1, 2, 4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*q + 10*q - 242*q + 12*q as b + i*q and give i.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 0.01052.\nAnswer: 0.0001052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*n**2 + 148*n**2 + 136*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 3006074*u\/9 + 2004052\/9.\nAnswer: -2*(u - 501013)*(3*u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8127*x**5 + 6*x**3 + 144*x**2 + 2*x + 2061974.\nAnswer: 162540*x**3 + 36*x + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 9*u**3 + 1 + 17*u**3 + 2*u in the form v*u**3 + t + r*u**2 + k*u and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 - 2464\/(-96))*6\/1. Solve 12*c - o = -4 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/(63\/210)*(-6)\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**13)\/l**(2\/11) assuming l is positive.\nAnswer: l**(152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 113, -3.1, -2, -2285?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 - -138.7. Let l = 1.9 + 6.1. Let d = l + j. Which is the nearest to 0? (a) -0.4 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + sqrt(931) + sqrt(931)*4 - sqrt(19)) + 4*(sqrt(19) - sqrt(19)*4).\nAnswer: 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -0.5, -0.2, 5, 2, -6.\nAnswer: -107, -6, -0.5, -0.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15b532 - 4?\nAnswer: -15b536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)*w**(-2\/7)\/w*w**(-7)*(w*w**9)\/w assuming w is positive.\nAnswer: w**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8, 0.4, 227, -2690?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c\/(c\/(c**(-5\/4)*c))))\/c)\/c**7)**(8\/9) assuming c is positive.\nAnswer: c**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 124?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1186*c**2*j**2 + 4*c**2*j - 22*c**2 - 263*j**3 - 1446*j wrt j?\nAnswer: 2372*c**2 - 1578*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 + -168. What is the smallest value in 0.066, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m - 0*m. Let j = -5 - -5. Let b be 3 - (m + 1) - j. Sort b, -4, 2 in descending order.\nAnswer: 2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.228 - -16.3. Let f = n + -0.082. What is the biggest value in f, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**19))**11 assuming y is positive.\nAnswer: y**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3542 - -3553. Solve 5*m = -2*z + j, -3*m + 6 + 13 = -5*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/350)\/(-13)*-10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -35\/6, -39, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7683882 and 1536.\nAnswer: 7685418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2030291 - 0.4.\nAnswer: 2030290.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-4)\/32)\/((-2)\/4). Suppose -5*a - 84 = 3*b, 3*a = 8*a - 3*b + 66. Which is greater: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(16)\/sqrt(2) - (sqrt(162) - (sqrt(162) + -1))**2) + (sqrt(98) + 0)*-5)*-3 + -1.\nAnswer: -594*sqrt(2) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 13842.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -210210?\nAnswer: -210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*(-4)\/(-7). Let k = -1 - -0.71. Let m = 0.29 + k. Which is the second biggest value? (a) f (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.598 + 6.078. Round x to one decimal place.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 1216504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -180, -678, -1500, -2640, -4092?\n\"Answer: f**3 - 168*f**2 - f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 33*u**2 - 66*u + 345. What is the hundreds digit of c(48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(13)*-1 + (sqrt(91)*2)\/sqrt(7))**2 - (sqrt(104)\/((5*sqrt(72))\/sqrt(9) - sqrt(8)))**2.\nAnswer: 1859\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -445 or -442?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 545, 1019, 1627, 2369?\nAnswer: 3245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:26 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -4*d + 11*d. Suppose 0 = -d*q + 4*q + 321. What are the prime factors of q?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(0 + ((-4199)\/26)\/(-17)). Which is smaller: -22 or f?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0180667625 rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2845872, 2845874, 2845876, 2845878, 2845880, 2845882?\nAnswer: 2845884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890365313?\nAnswer: 79, 439, 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2672*f**2 - 5276*f**2 + 2687*f**2.\nAnswer: 83*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/28*410\/225 + 6\/45. Which is the smallest value? (a) -2 (b) 1\/5 (c) y (d) 0.606\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 397\/48 + -143\/16. Which is the closest to 8? (a) 0.2 (b) q (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2555\/21 - 1\/(-3). Let h = 223 - i. Suppose 4*f + 2*k = 166, 0*f + 5*k + h = 2*f. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*p + 4672 = 182*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1\/(-3) + 0). Let w(v) = 3 + 1792*v + v**2 + 3*v**2 - 1792*v - 3*v**2. Let r = -3 + 8. Let h(o) = -2*o**2 - 5. What is k*h(b) + r*w(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(76)\/sqrt(4) + -6*sqrt(171) - (sqrt(57)\/(sqrt(12)\/sqrt(4)) + 2).\nAnswer: -18*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - o - 3, -2*k = -4*o. Suppose -5*l + l = 3*b + 24, 4*l + 32 = -5*b. Put 1, l, k in decreasing order.\nAnswer: k, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/2 + -1 - 0. Let f(h) = -h - 5. Let q be f(-7). Let y = -4 + 7. Solve -q*u + 3*u + m*b - 3 = 0, 0 = -4*u + y*b - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29726.03918048 + 0.5.\nAnswer: 29726.53918048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 11 = 54. Let j(r) = r**2 + 4*r - 1. Calculate the lowest common multiple of j(h) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3\/16, 9, 11, -1\/7.\nAnswer: -3\/16, -1\/7, 1\/3, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/9 + 80\/72 + -1. Suppose -3*s + s = 0. Suppose l + s*l - 5*o - 24 = d, 3*l + 5*o = -8. Is l at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137 - (-126 - -320) - (2 + -4 - 7).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let y = 5 - u. Suppose -y = 4*h - h. Which is smaller: 1\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*t + 230*t**2 + 2*t**3 - 230*t**2 - 15 as a*t**2 + g*t + y*t**3 + z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -274 (base 9) to base 11.\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, 44, 123, 234, 377?\n\"Answer: 16*t**2 - t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.407 + 15.753. Round k to 0 dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4419 - -4424. Let b(h) = -h**3 + 5*h**2 - 9*h + 12. Give b(s).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from gqwva.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 12*f - 2*f**3 + 12*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*z = 2*p + 16, -4 = -5*p - z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0 - 6) - (54 + 0 - 1181066\/16557)?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 9408606?\nAnswer: 9408604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 4*s**3 + 2*s**3 + (-11*s**3 + 8*s**3 - 25*s**3)*(0 - 5 - 1) + 3*s**2 - 3*s**2 + s**3.\nAnswer: 167*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 44. Let k be o(-16). Suppose -p = -2*a - k, 2*a = 1 + 3. Let s = -20 + p. Solve -2*c + y - 5 + 2 = 0, 4*y = s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -91*o + 855. Calculate g(-27).\nAnswer: 3312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -66602.1 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-26)\/(-8) + -2)*16\/1. Solve -4*d = -9*d - v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27267 and 21009.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2885 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 32 = 3*h. Let d = -67 + 99. What is the greatest common divisor of h and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 != 1.1342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from wdylydssdhsdls?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6062820 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26464*s**3 + 6992*s**3 - 12728*s**3 - 9263*s**3.\nAnswer: -41463*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (4 + sqrt(243) + -4)) + sqrt(432)*6 + -1 + 5.\nAnswer: 4 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t = 26. Suppose 4*g - 24 = g + n, -4*g = 5*n - t. Let d(b) = 3*b - 3. Is d(g) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 7\/2, -58589 in ascending order.\nAnswer: -58589, -0.4, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 149, 253, 421, 665, 997, 1429?\nAnswer: 1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155255203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6799 not equal to 33994\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, k: 2}. What is prob of picking 3 g?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((4 - 17) + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i - 2*b + 294, -5*i + 4*b = -1526. Let y = i + -175. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*h - 64*h + 201*h - 62*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-15)\/(-18)*-8. Let d be (-10)\/(-26)*8\/u. Which is the closest to 0? (a) d (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2554, 10338, 23354, 41608, 65106, 93854, 127858?\n\"Answer: i**3 + 2610*i**2 - 53*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2839 and 29\/1336.\nAnswer: 22712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 7*g**2 + 7*g + 4. Let o be c(-8). Suppose 5*s + 0*s - 72 = 4*k, 4*k = -o. Let b be s\/30 + 69\/15. Solve -5*j = -10 - b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001564192 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = -7. Suppose -6 + 1 = -3*k - 2*z, 0 = -3*k + t*z. Calculate the highest common factor of 11 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178702287 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 24 = 0, -25*o + 2*q + 473 = -24*o. Is o at least as big as 491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 64 = 4*y - y, 3*y - f = 62. Suppose -4*k = 4*m - 2*m - 22, -4*k + y = 4*m. Let o = -4 - -6. What is the lowest common multiple of k and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 4, -4 in decreasing order.\nAnswer: 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from -1192529.7.\nAnswer: -1192538.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0433 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 200?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m + 6. Let a(k) = 6*k - 7. Let i(q) = -3*a(q) - 4*c(q). Let u(s) = -2*s. Determine u(i(p)).\nAnswer: -4*p + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -32*r**3 - 9*r**2 - 4*r + 1. Let b be j(-6). Suppose -3*v + b = 4*a, a = -0*a + 4*v + 1677. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + y**3 + 0*y**3)*(1 - 1 + 2) - 4*y**3 - 4*y**3 + y**3 + 0 - y**3 + 0 - y**2 + 2*y**3 + y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + (0 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*w - 2170*w**3 + 62*w.\nAnswer: -2170*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1922 + 6*q + 636 + 3*q + 655 + 660. Determine o(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 474451, 474446, 474441, 474436, 474431, 474426?\n\"Answer: -5*q + 474456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-1\/7)\/(j\/(j*j**(-1\/3)\/j)*j**(-4)))**39 assuming j is positive.\nAnswer: j**(767\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 14) to base 3\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 c, and 1 j when four letters picked without replacement from mjchjeddcddcdjd?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2164.6346341 from 2474.\nAnswer: 309.3653659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5834.069 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.1 - -43.1. Let q = -36 - -40. What is the nearest to s in q, -5\/2, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 18*t - 92 = 0, -q + 811 = 4*t + 815 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1328\/80 + (10 - 0). Let o = -394\/15 + s. Factor -i - o + 1\/3*i**2 + i**3.\nAnswer: (i - 1)*(i + 1)*(3*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 4*c + 2*y, -2*c - 3*y + 171 = 2*c. Calculate the remainder when c is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16679\/24 - -695. Let u = -2.7 - -0.7. Is t at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -32.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13578483 minus 60236?\nAnswer: 13518247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3. Let i(y) = -y - 2. Let b be ((-3)\/(-6))\/(((-3)\/30)\/(-1)). Suppose -b*f = 2*j - 18, j - 14 + 4 = -3*f. Determine f*g(s) - 3*i(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*i + 7025*i**3 - 2676*i**3 + 112*i.\nAnswer: 4349*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11493*f = 11484*f + 14805. Calculate the remainder when f is divided by 111.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**4 - u**3 + u**2 + u. Let y(v) = -3*v**4 + 5*v**3 - 5*v**2 - 8*v. Let f(x) = -5*g(x) - y(x). Find the second derivative of f(t) wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2937.\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 28*d - 2 = 0, -5*d = 5*o - 945. Let c = -10 + 14. Suppose -136 = -4*l - c*i, 5*l + i - 3*i = o. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-17)*0 + 7874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3675 + 4050. Calculate the greatest common factor of m and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 7*l**2 + 6*l - 5. Let k be i(-4). Let f = k - 13. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0048831 and -6669837.\nAnswer: -6669836.9951169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - z**3 + 0*z**3)*(5 + 4*z**2 + 3 - 6) + 6*z**5 - 4*z**5 - z**5.\nAnswer: 5*z**5 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38\/35 + -9\/7. Sort -0.5, l, 5 in increasing order.\nAnswer: -0.5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-10)\/(-2)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 113*q + 1827. Is p(7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 - -0.2. What is i rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9668907 rounded to zero decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q - 12*q = 57*q + 2205 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**5\/20 - d**4\/12 + d**3\/3 - 3*d**2\/2 - 2*d + 8. Let y(a) be the first derivative of f(a). What is y(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -484518.993 rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-25)\/(-40)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22680 is divided by 212?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 305006?\nAnswer: 305014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b + 1449 = 96*b - 0*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnbxnux. What is prob of sequence nxn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.51 - 8.658. Round n to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 6*n - 5. Let m be o(-4). Suppose -m*h + 3 = -6*h. Are -1 and h unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-7) - (-4955)\/35. Let p be 8\/(-36) + a\/27. Solve p*s = -6 + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r - r**2 - r**2 + 6*r**3 + 2*r**2.\nAnswer: 6*r**3 + 29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*j - 5. Suppose -5*k + 4 = h, 0 = k + 3*h - 1 - 11. Let r(z) = z + 3. Let w be r(0). Put j, k, 1, w in increasing order.\nAnswer: k, 1, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -1211541316050.\nAnswer: 1211541316042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyfyfyyovdy. What is prob of picking 1 y, 1 d, and 1 f?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 8*q**2\/5 - 38*q\/5 - 28\/5.\nAnswer: 2*(q - 7)*(q + 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3278 + 3152 = 14*o. Let r(w) = w**3 + 10*w**2 + 8*w - 1. Calculate r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 7790100 = 125*k + 105*k. What are the prime factors of k?\nAnswer: 2, 3, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 503, 1, 23 in decreasing order.\nAnswer: 503, 23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756694222?\nAnswer: 2, 101, 281, 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 5*a - 20 = 16*c, -16 = 2*c + 4*a. Calculate the common denominator of 0 + (c - 1057\/(-588)) and -145\/66.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let d be v\/5 - 9\/10. Let j = 0 - 0.1. What is the nearest to d in j, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + 157*l - 310*l + 153*l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 103b - 8?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 times 3583171?\nAnswer: -1057035445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-6)\/(-7))*-14. Suppose -4*r = 2*r + n. What is the tens digit of (r\/3)\/(4*(-3)\/720)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -17. Suppose 3 = 5*m - 27. What is the remainder when a is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4*j = -21, -2*g - 3*j + 0 = 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -53*f + 1. Let r be c(3). Let v = -10 - 2. Is (-8)\/v - r\/6 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b0 - -8?\nAnswer: -11a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bccgbggfbbbgccgg. What is prob of sequence gcf?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 51*u**2 + 34*u - 1629. Let r be x(51). Suppose -15 = -6*o + 5*o. Calculate the highest common divisor of r and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/4643 (b) 0.112 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -9, -3, -3181, 3 in increasing order.\nAnswer: -3181, -9, -3, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39279888?\nAnswer: 2, 3, 272777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000250399936 rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*p - 107*p - 120. Let g(l) = -3*l**3 - 23*l**2 + 6*l + 16. Let t = 3593\/5 + -723. Find the common denominator of g(p) and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.1, 1, 2\/3, -2\/7.\nAnswer: -2\/7, -0.1, 2\/3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304444 (base 5) to base 3.\nAnswer: -111201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*v - 3234 = -110*v. What is the greatest common divisor of v and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d94 (base 14) to base 11\nAnswer: 408a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2)*(-50)\/(-90)*42\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivaivjuvvuaivaj. What is prob of sequence av?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 49, 96, 163, 256, 381, 544, 751?\n\"Answer: l**3 + l**2 + 23*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -837 - -838. Let n be -1 + ((-21)\/40)\/(255\/(-476)). Does s = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 86, 159, 230, 299, 366?\n\"Answer: -c**2 + 78*c - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -7, 0, 9, 20?\n\"Answer: r**2 + 2*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*u - 4, 0*j - 4*j = -3*u - 8. Suppose -5*a + 29 = j*y - 16, 5*y - 4*a - 195 = 0. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2 + 3 + 5914*b**2 - 5912*b**2. Let x(p) = p**2 - 4. Let i(s) = -s**2 + 3. Let m(n) = -4*i(n) - 3*x(n). Give q(m(a)).\nAnswer: 2*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*12\/(-54) - (-144)\/(-26).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let b be m(1). Let q be (7 + 2\/(-10))\/((-592)\/1805). Let k = -165\/8 - q. Is k >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**3 - 4*n**3 + 5*n**2 + 4*n**2 + 2*n**4 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/140 + 5*t**4\/56 - 2*t**3\/7 + 14*t**2. Find i, given that k(i) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -0.025 (b) -10 (c) 0 (d) -0.2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*g - 24, 2*q + 5*g + 18 = -0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 4*s + 8. What is the units digit of v(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 877 - 1755\/2. Which is the nearest to z? (a) 1\/3 (b) -10\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/30)\/(55\/(3025\/(-66)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 86, 128, 218, 374, 614, 956, 1418?\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 289213 - 288552.502. Let a = m + -660. What is a rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8295.69 centuries in decades?\nAnswer: 82956.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816969380 is divided by 322?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b + 0)*(43*b - b**4 + 39*b - 86*b).\nAnswer: -2*b**5 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/76 - -59\/152. Suppose 12 = -3*k - 3*v, 3*k = 2*v - 6*v - 17. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + s**3 + 4*s**3)*((9 + 16 - 4)*(-3*s - 2*s + 4*s) + (s - 3*s + 3*s)*(3 + 0 - 1)).\nAnswer: -152*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 4*s**2 - 5*s**2)*(1 - 1 + 2) - 2*s**2 + 3*s**2 + 0*s**2 + (4*s - 2*s - 4*s + 8)*(-5 + 8*s + 5).\nAnswer: -17*s**2 + 64*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/7080 and -41\/120?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 + 41*m - 183. Give h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11))**(-36)\/(a**(-2\/5))**(2\/47) assuming a is positive.\nAnswer: a**(93064\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -188136*d*l**3 + 6*l**3 + 23*l**2 + 487 wrt d?\nAnswer: -188136*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 10*z**2 + 25*z + 23. Determine q(-13).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35412, -35437, -35462?\nAnswer: -35487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - sqrt(72)*1)*3)\/sqrt(12))\/(sqrt(8)\/sqrt(4)*2 - sqrt(32)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.633 + -0.147. Let a = -0.22 + j. What is the biggest value in a, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -466 - -93. Let q = -325 - j. Suppose 2*g - 33 = 1. Calculate the remainder when q is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, d: 2, c: 1}. What is prob of picking 1 d, 1 a, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cdb + 1?\nAnswer: cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1546.849 millennia to years.\nAnswer: 1546849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i**5\/5 + 5*i**3\/3 - i**2\/2 - 18*i - 67. Find the second derivative of o(h) wrt h.\nAnswer: 24*h**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 59.1. Let t be (-5)\/10 - 10\/(-4). Which is the closest to v? (a) t (b) 0.2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337 - 340 - 8*b + 677.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p**2 + 4*p**2 + 7*p**2 + 3*p - 2*p.\nAnswer: 34*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1420 - 1405. Let l(x) = 2*x**3 - 4*x**2 - 7*x - 6. Let i be l(7). What is the highest common factor of i and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7461 + 646 = -47*w. Is w > 146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 9. Let u(h) = 3*h**3 + 2*h**2 + h. Let t be u(-1). Let n(s) = -s**3 + 4*s**2 + 4*s - 2. Let w be n(5). Let j = t - w. Determine k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*b = 7, 8 = f + 2*b + 1. Let p = f - -11. Suppose -2*c + 5*m - 22 = -3*c, 2*c = -2*m + p. Solve -5*l - 3 = n, -2*l - c*n + 6 = -4*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/95 + 2\/(-15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {k: 3, f: 2, r: 1, m: 3, q: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 29 = 91. Suppose 0 = -r*l - 981643 - 2678357. Round l to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73.76 - -73.797. Which is the fifth smallest value? (a) 6\/7 (b) -2 (c) -2\/19 (d) 3 (e) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -220*50\/(-2200)*56\/(-50)?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 968057 and -1191565.\nAnswer: -223508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7093080 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 198 - 208 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 60 = -g - s, 2*g + s = 17. What is the remainder when 6618 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6421956234.9941 - -6422277054. Let u = j + -320797. Let m = -22 + u. What is m rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*z + 13 = -7*g, -g - 2*z = 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*c - 4*f + 306 = 0, -4*c - 5*f - 1072 = -1210 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3574 rounded to one dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -2, 6.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108\/(-8))\/3*-2. Suppose z + o = -r, -5 = -6*z + z. Let h be (-4)\/r + 3\/5. Solve -3*i - h = 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -25. Suppose -f*j = -3*j - 30. What is the common denominator of (-2 - (-3)\/j) + -19 and 41\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 2, -1\/2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2408 and 7912.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 30*z - 342. Let t be i(10). Find the common denominator of 102*85\/(-700) + (-12)\/t and 55\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -7. List the prime factors of (-1)\/(1*2\/j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1128513 and -4.\nAnswer: -3.8871487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -48) + 1 + (-20)\/(-8).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 + -9 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.1 + -14. Let r = 1.2511593 + -0.1511523. Let y = h - r. Round y to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m**2)*(-1 + 3 - 5)*(-78*m - 88*m**2 + 78*m).\nAnswer: -528*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*s + 83200 = 461*s. Calculate the least common multiple of s and 640.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/19)\/(j*(j*j**(-4\/13))\/j*j) assuming j is positive.\nAnswer: j**(-392\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34692*u**2 - 29535.\nAnswer: -69384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-448)\/42)\/((-4)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*q - 14 = 0, 18 = 2*h + 5*q - 3. Let b be (-3)\/h*(-4)\/(-6). Let v be (1 + b)\/((-8)\/14). Is v < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 14*t - 279 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(5) + sqrt(5) + sqrt(5) + (sqrt(20) - sqrt(5))) + sqrt(576) + 3*sqrt(576))\/((sqrt(40)\/sqrt(4))\/sqrt(5) - sqrt(2) - sqrt(1152)).\nAnswer: -193*sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nby when three letters picked without replacement from nyby?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8458837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022 + 11011122?\nAnswer: 11101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -r, 14*t - 9*t - 4*r - 26 = 0. Solve -q + 18 = t*b - 6*b, q = 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1364363 and -51\/23.\nAnswer: 31380349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, 0.6, -786, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -103. Solve w*i = 5*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/198 + (-575)\/(-5175)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(1573) + 2 + sqrt(1573))*-3 - sqrt(1573)) + (-2*(sqrt(1573) - (0 + sqrt(1573)) - sqrt(1573)) - (sqrt(1573) - -5*(0 + sqrt(1573)))) + -1)**2.\nAnswer: 37444*sqrt(13) + 3329837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwwwwwqwqqwwwqwwwq. Give prob of sequence wq.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (750792\/80)\/327\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 0. Suppose y = 3*c - 15 - 12. Suppose -36 = -5*w + c. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 39. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228976691 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - 1 + 55150*s**2 + 0*s**3 + 2*s - 55153*s**2 in the form p + f*s**2 + u*s + b*s**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*p - 18890 - 10216 = -62*p for p.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.3 - 52. What is the fourth smallest value in -2, -1, -4\/7, t?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*j = -2861 + 1035 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + ((-93)\/(-33) - 8\/(-44)). Suppose 15 = 3*f - 5*u, -2*u + 3 + 2 = f. Suppose j*b - 25 - 177 = -5*y, -212 = -f*y + b. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258846689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 5:23 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 807279304 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -16*z**2 - 109*z + 378. Determine s(2).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 567 - 559. Let w be (j\/(-7))\/((-56)\/196). Solve -4*r - 2*q + w = 0, 2*r = 3*r - 3*q - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 2082.\nAnswer: 10410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-2\/23)*f*f**(3\/2) assuming f is positive.\nAnswer: f**(165\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 49*g**2 - 108*g + 8. What is s(-7)?\nAnswer: -1294","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 - 37*p**2 + 286*p + 322. Let n(h) = -7*h**3 + 75*h**2 - 571*h - 643. Let u(m) = -2*n(m) - 5*t(m). Factor u(c).\nAnswer: -(c - 18)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 76. Let b be (y\/15)\/(1\/((-10)\/4)). What is the closest to 1 in -3, -2\/23, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/9158165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00504796 to five dps.\nAnswer: -0.00505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.99401 rounded to 2 decimal places?\nAnswer: -10.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2586894?\nAnswer: 2, 3, 241, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69461 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**2 + 16*u**2 - 10 + 45 - 8.\nAnswer: 2*u**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 2617*t**5\/20 + 213*t**2\/2 - 40*t - 30. What is the derivative of v(a) wrt a?\nAnswer: 7851*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1, 5, 4 in descending order.\nAnswer: 5, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2.2. Let d = 1.7 + -1.7. Let r = -49.5 - -49. Sort w, d, r in increasing order.\nAnswer: r, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 609*p + 14704. Determine z(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56042849.9404 - 0.2.\nAnswer: -56042850.1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501*j = 1590*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 27. Let f be 27 + (-1 - (-4 + 2)). Let i be (-8)\/f + 32\/m. Which is the third biggest value? (a) i (b) -0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*y**2 + 0*y**2 + 5)*(y - 3*y + 4*y)*(6*y - 2*y + y).\nAnswer: -20*y**4 + 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 1.1713017\nAnswer: -0.35139051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2361 is divided by 85.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*w = 312, w + 3*w = 8. Round r to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q - 19. Let r be m(3). Let u(v) = 7*v**2 + 14*v**r - 23*v**2. Let b(l) = 8*l**2. Calculate u(b(i)).\nAnswer: -128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 190, 193, 3, 2, 1 in increasing order.\nAnswer: -50, 1, 2, 3, 190, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*z**5 + 5*z**4 - 30*z**3 - 5*z**2 - 2*z - 115.\nAnswer: -240*z**2 + 120*z - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067838309?\nAnswer: 3, 13183189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -74 (c) -0.1 (d) 4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 4 (c) -367 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 1)*(-3*k + 10*k + 8*k) - 6 + 6*k + 6.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 94858613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2422 + -2421.2964. Round v to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7994 is divided by 420.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l - 1. Let s(x) be the second derivative of x**3\/6 - x**2\/2 + 15*x. Suppose 0 = -33*h - 0*h + 165. Determine h*s(y) + b(y).\nAnswer: y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 19*f**2 + 48*f + 526. Determine q(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30\/(-18)*15)\/((-3)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k + 85. Let b be s(5). Suppose -h + b = 3*h, -2*n - 4*h + 1584 = 0. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/25 and -16\/5585?\nAnswer: 27925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 32*g + 119. Let p be a(-4). Let f(z) = 5*z**3 - 20*z**2 + 33*z - 24. Let b(m) = m**3 - 5*m**2 + 8*m - 6. Let s(j) = p*b(j) + 2*f(j). What is s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -8*r - 47 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 724939.\nAnswer: -7249390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - w**4 - w**4 + 3*w**3 - w + 4*w**2 - 4*w**3 to i + z*w**2 + t*w**3 + l*w + m*w**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**(13\/6)\/i*i)*i)\/i)**15*(i**(-13)\/i)**(2\/105) assuming i is positive.\nAnswer: i**(-1433\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiq when three letters picked without replacement from {i: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 6*r**2 - 9*r + 7. Let g be i(7). Let x = -14 - -9. Let p = x - g. Solve 4*y + 2 = -6*v + 4*v, p*v - 10 = 2*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3746 at most -22477\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + 7 - 7)*(-2*x + 2*x + 4*x**2)*(5*x - 3*x - 4*x).\nAnswer: -40*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -0.05. Which is the closest to 3\/4? (a) 1 (b) -3\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-8))\/(1\/(-4)). Suppose 0 = -k + 4*k + 9. Let g = k - -3. Solve -u + l*u = g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23442879 - -0.7.\nAnswer: -23442878.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 15*c**2 - 28*c - 4. Give f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i + 2*x - 14, 9*i - 34 = -2*x. Factor 0*y + 0 + 1\/4*y**5 - 1\/2*y**i + 0*y**2 + 0*y**3.\nAnswer: y**4*(y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638028 is divided by 88?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18591 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -26. Let f be (4\/h)\/(4\/(-40)). Put -5, 9, f in descending order.\nAnswer: 9, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*3\/(-6)*-3. Suppose 2*q = o*q. Suppose -5*d + 259 = v, 3*d - d - 2*v - 106 = q. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-26)*(-2)\/(-3)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 5*c = -13*n + 74, 24 = 2*n - 3*c. Suppose 14*q - 10 = n*q + 5*i, -5*q = -3*i - 6. Put -8, q, -1, 1 in descending order.\nAnswer: 1, q, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**6\/120 + n**5\/12 + 7*n**3\/6 + 2*n**2. Calculate the remainder when ((-27)\/2)\/(11\/(-22)) is divided by t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.216901ns in hours?\nAnswer: 0.0000000000097824725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*c - 3. Let h(a) = -30*a - 1. What is h(c)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5*u + u - 21, -5*u - 3*f = 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3149 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941.8916 years to millennia.\nAnswer: 0.9418916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -255 - 26*a - 15*a + 254 + 577*a**3 + 39*a to the form q*a**3 + r + w*a**2 + m*a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228 + -129. Let p = f - 99.835. Let k = -0.025 - p. What is k rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3223, 3225, 3227, 3229, 3231?\nAnswer: 3233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4890 = 3*b, -34*b - 2*s = -35*b + 1632. What are the prime factors of b?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, 416, -2\/7, 2, 1\/25 in decreasing order.\nAnswer: 416, 4, 2, 1\/25, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -4*i + 4*t + 16, -t = 2*i + 1. Let l(b) = b + i*b**3 + 8*b**3 - 1 - 9*b**3 - 5. Calculate l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, -27887, 0.4, -4\/7, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.7 + 3.7. Let f = -28 - l. What is the second smallest value in -0.8, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -931, -1615, -2755, -4351, -6403, -8911, -11875?\n\"Answer: -228*l**2 - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r**2 + 3*r - 83. Let g(m) = -11*m**2 + 2*m - 84. Let h(a) = -3*g(a) + 2*q(a). What is the derivative of h(f) wrt f?\nAnswer: 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 less than or equal to 389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1357428.\nAnswer: -407228.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 + 7*k**2 + 8*k**2. Let v(h) be the first derivative of 0*h**2 + 2\/3*h**3 + 0*h - 6. Determine s(v(u)).\nAnswer: 40*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**2 + 4*i - 1. List the prime factors of f(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 9*t**2 + 13*t - 19. What are the prime factors of i(8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53701548767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -147, -517, -1235, -2415, -4171, -6617, -9867?\n\"Answer: -19*a**3 - 3*a**2 + 6*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 13, i: 3}. Give prob of picking 1 k and 2 i.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1088 = -436*v + 368*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:55 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 n when four letters picked without replacement from {t: 1, n: 4, q: 9, p: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-150)\/(-135) - (-4)\/(-3). Let h = -0.029 + -58.971. Is h < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 47*f**3 + 511*f**2 - 1617*f.\nAnswer: f*(f - 33)*(f - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1788 - -2531. List the prime factors of i.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 4*t, -3*n + n - 2*t = -58. Suppose m = 0, 4*p + 6*m = 3*m - n. Let a = 9 + p. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*4\/2 - 7\/3. What is the nearest to 0.3 in 0, l, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 + 3*t**2 - 31*t + 186. What is w(6)?\nAnswer: 972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {z: 2, h: 1, m: 1, c: 6, b: 4, o: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422368.\nAnswer: 2, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26\/9 - -367\/18. Let p = d + -107\/6. Is p at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-14) + (-6 - -4). Let y = 100 + -102. Let i be (-3)\/10 - 3818\/(-1660). What is the third biggest value in y, c, -3, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.679 + 0.619. Which is the biggest value? (a) 5\/3 (b) -1\/4 (c) o (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 48079441.\nAnswer: -48079434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*r = -18, 25*r - 62 - 6 = -4*k + 20*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 2*n + 2*n. Let h(x) = 4*x**2 - x - 1. Let d(p) = -341*p**2 + 44*p + 44. Let v(r) = d(r) + 44*h(r). What is s(v(q))?\nAnswer: -165*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 = 1, -3*v + 4*h = -26. What is the remainder when 14 is divided by (-1 - 2)*(-10)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 - 16 - 1*(2 - 1). Let t be 0*(-2)\/(-4*d\/6). Suppose -2*r - 2*z + 96 = t, 4*r = z + 174 + 8. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let s be -10*-165*(-8000)\/w. Round s to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213302131 + 11?\nAnswer: 213302202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6) + 229799960\/30. What is p rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 146\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.0826.\nAnswer: -0.0413","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -10. Let l = x + -17. Put -2, -11, l in descending order.\nAnswer: l, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14625 + -14625.5. Let t(p) = p**2 - 4*p - 3. Let m be t(5). Which is the smallest value? (a) m (b) 0.04 (c) 5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16692*j**5 + 6*j**3 - 8*j**2 + 9158*j wrt j.\nAnswer: -1001520*j**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(6)\/(sqrt(2)*-3) + (sqrt(3) - (sqrt(3) + 1*sqrt(3)) - sqrt(3)) + -2 - (5 + -5 + sqrt(27))))**2 + -4.\nAnswer: 1024*sqrt(3)\/3 + 4276\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/31 - 92\/155. Let z = 0.42513 - 3.42513. Which is the nearest to -1.3? (a) 1 (b) v (c) z (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -52*b + 143. Let q(y) = -4*y - 5. What is q(j(r))?\nAnswer: 208*r - 577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433189.\nAnswer: 101, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1029224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 0)*-6*-3)**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10339345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*o - 18. Let n(g) = 2*g - 7. Let z be n(16). Suppose -z = -o*p - p. Solve p*v = -20 - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2277*c + 482737. Calculate z(-212).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -1020.4212\nAnswer: 1029.4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-1 - (23 + -11 + -21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 divided by 66?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252720 and 832?\nAnswer: 1010880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -694 - 896. Suppose -5*d + 0 = -n. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-110)\/130 - (0 + -1). Which is the biggest value? (a) -1\/2 (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from {i: 1, v: 2, w: 1, a: 1, l: 1, g: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 835*z - 831*z - 12, -6 = 2*l - 2*z. Are l and -29\/273 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 78. Let n(k) = -25*k. Let x(u) = -2*u. Let t(s) = n(s) - 10*x(s). Give z(t(a)).\nAnswer: -10*a + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 12:42 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 259579 - -1?\nAnswer: 259580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-15)*n*n*n**(-1\/16)\/n*n assuming n is positive.\nAnswer: n**(-209\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 14*m**2 - 611*m + 1797. What is the least common multiple of s(3) and 85 + 1 + (-5 - -3)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*v + 34, 9*z - 4*z - 4*v = 35. Suppose -3*h + 2*r + 7499998 = 0, h - 5*r = z*h - 5000005. Round h to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 15*r - 6*r. Solve -r*m + 2*i = 24, -4*m - 17 = -m - i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/7)\/(2\/3). What is the third derivative of x**2 - 2*x**3 - 3*x**2 + 2*x**2 - g*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309465 divided by -195\nAnswer: -1587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2419137 by -5719.\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 59 = -69. Let n(y) = y**2 - y + 2. What is n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 2:08 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00216627977 rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3069, 3039, 2989, 2919, 2829?\nAnswer: 2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101122210112111120 - 0?\nAnswer: -101122210112111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 12*i**2 + i + 16. Let d be r(-12). Let q be 16 + 2\/(0 + -1). Suppose -4*z + 5*z = q. Solve -z - 6 = d*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.2 + -10. Let b be 1*2 - 2\/1. Suppose -2*n - n + 3 = b. Which is bigger: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/4 - 1045*z**4\/12 - 9520*z**3 - 130050*z**2 - 596*z. Suppose o(c) = 0. Calculate c.\nAnswer: -102, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.89 - 16.8. Let w = -1.090146 + l. Round w to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 <= 887\/142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -2 + -3)**2 + sqrt(3) + sqrt(9)\/sqrt(3)*1)*-1.\nAnswer: -28 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14.02575 or 2\/149?\nAnswer: -14.02575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -67, -166, -299, -448, -595, -722, -811?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) -0.2 (c) 2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*49\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2219683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -182731?\nAnswer: -2375503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 2. Let y(s) = -291*s. Determine y(j(i)).\nAnswer: -1455*i - 582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3383, -5, 11, 12, -6, 2.\nAnswer: -3383, -6, -5, -4, 2, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15552\/1107 - (-36)\/(-738).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2. Let k(h) be the first derivative of -3*h**2 - 3*h + 31. What is k(u(x))?\nAnswer: -12*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14430*0.1.\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*l - 174 = 2*j, -4*j + 5*l + 735 = 0. Suppose -3*i = 2*i + j. Calculate the common denominator of 51\/20 and ((-3)\/2)\/(i\/(-596)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.5, 64\/3, 2\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:27 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/18 - -8\/9. Suppose 2*t - 11 = 9. Let o(g) = g**3 - 9*g**2 - 10*g - 7. Let p be o(t). Which is the nearest to v? (a) -1 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**7*g)\/(g**2\/g))\/(g**(-4\/3)*(g\/(g\/(g*g\/g**(-1\/4))*g))\/g) assuming g is positive.\nAnswer: g**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000010101000011001001 (base 2) in base 4?\nAnswer: 100111003021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 37272.4792896.\nAnswer: 37272.8792896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from mfvzsvfrvfzv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 8. Let k be u\/9*9\/30. Let f = 15 + -16. Put -2, f, k in decreasing order.\nAnswer: k, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8817440?\nAnswer: 2, 5, 55109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*n + 6 = 0, -4*n + 3 = w - 8. Suppose 0 = 2*l - 3*b - 31, -3*l - w*b - 54 = -6*l. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 + -59. Suppose -5*a + 158 + r = 0. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001000607447 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27481 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t + 0 - 1\/15*t**3 - 4*t**2 + 2\/75*t**5 + 0*t**4. Factor d(l).\nAnswer: 2*(2*l - 1)*(2*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*s + 16 = 0, 3*h + 8 = 6*h - s. Suppose -4*y + 4 = -h. Solve 3*m - 4*n - 5 = y*m, -3*m - 3 = -3*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6474 to 2 decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -22*f**2 + f + 1. Give q(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1022530980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2\/9*l**4 + 27 + 2\/45*l**5 + 32\/3*l - 32\/27*l**3 - 16\/9*l**2. Factor t(c).\nAnswer: 2*(c - 2)**2*(c + 2)*(c + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 18*k + 44. Let w be b(20). What is the biggest value in w, -0.5, 2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*s - 2, 141*s + 1 = 144*s + 4*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from gaaggggggaaagaaaaggg.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 7*g - 4*g**2 + 5*g**4 - 7*g.\nAnswer: g**2*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnj when three letters picked without replacement from njnnnnnnnnnnnnnnjnnn?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-52)\/(-16))\/(-1)*-524 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 8. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002518 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.67256 hours to milliseconds.\nAnswer: 139221216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 - 82*j**2 - 290*j + 28594 = 0. Calculate j.\nAnswer: -17, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -b + 14, 4*g - 4 - 28 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1370\/9 + -152. Let k = 0.4 - 0.3. What is the second smallest value in k, g, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 674087 by -5.\nAnswer: -674087\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and (-28)\/42 + (-20)\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(110)\/(sqrt(20)\/sqrt(2)) + (sqrt(11) - (sqrt(396)*-1 + sqrt(11))))**2 + 1 + (sqrt(33)\/sqrt(3))**2*-3)*-6)*-2.\nAnswer: 6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12045115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 27 = -2*b - 16, b + 39 = -5*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**3\/3 + 4*l**2 - 2*l + 1. Let d be o(8). Calculate the remainder when 0\/d + 6 + 1 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:54 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 8 = -5*y. Suppose 4*h = -4*w + 18 + 6, h = y*w. Suppose 4*x - 3572 = -h*c, -5*c = -4*x - 696 - 3733. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 1199599032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81968 is divided by 239?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19fe9e (base 16) in base 7?\nAnswer: -20323466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2729107 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3582877, 0 in increasing order.\nAnswer: -3582877, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 15) in base 6?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -25159*a**2. Let u(d) = -559*d + 404*d + 156*d. Give o(u(x)).\nAnswer: -25159*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 4*q - 2. Let b be (-13 + 9)*(-4 - 3\/(-3)*2). Let f(y) = -10*y**2 - 11*y + 5. Determine b*a(k) + 3*f(k).\nAnswer: -6*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 4640 = 4716. Suppose -7 = 3*r + 11. What is the closest to r in 2, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 7\/(21\/(-27)). Let b = d + 30. Let g = -39 + b. Solve -4*c = 8, 3*h + h - g*c = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 10*m**2 + 8*m - 8. Let a be c(-9). Let f be a\/(2\/4) + -6. Let x be 3\/6*2\/1. Sort x, 3, f in ascending order.\nAnswer: f, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5304, 7246, 9192, 11142, 13096, 15054, 17016?\n\"Answer: 2*f**2 + 1936*f + 3366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -47, -11, -9, -6.\nAnswer: -47, -11, -9, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-13 - -38) - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 7*r**2 - 9*r - 7. What is h(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(637) + sqrt(637)*1)*-4 + (2 + sqrt(637))*-1 + -1 + (sqrt(637) + 2 + sqrt(637) + -3 - sqrt(637)))**2 + 5.\nAnswer: 448*sqrt(13) + 40788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 minus 14.97?\nAnswer: -49.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -16, -96, -262, -544, -972, -1576, -2386?\nAnswer: -3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-95)\/(-686)) - 60\/570. Let l = c + 1816. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 47*w - 197*w + 700. Solve 6*s - 2*s - 8 = w*c, -11 = 2*c + s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = j + 1, 5*j = b + 550 - 555 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 916872 = 916872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0425 - -2.9575. Which is the nearest to 0.04? (a) -1\/7 (b) -0.15 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (5\/2105)\/((-6)\/(-12612)). Is 0 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*i - i, 5*i = -3*x + 40. What is the smallest common multiple of 11 and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 327605 + 17?\nAnswer: 327621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292097379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -3*a. Let w = a + 20. Let q be -1 + (-339)\/(-12) + 6\/(-24). Calculate the greatest common divisor of q and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2697132 * -0.1.\nAnswer: -0.12697132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 18. Let f(n) = n - 4. Let y be f(o). Which is the biggest value? (a) 0.2 (b) y (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*x - 41 = -3*m, 19 = 3*m + x. What is the highest common divisor of m and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 1201360?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 153\/85 - (-2)\/10. Solve -u = 3*i - 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 26263 = -2921. Suppose -2*h + 6*h - 1520 = -4*q, 4*h = 4*q - w. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 0. Suppose 5*n - 39 = -3*f + 2*f, 0 = -2*f + 8. Calculate the least common multiple of n and o\/(2*2\/(-8)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 2*r**3 - 3*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124933556*s + 247252350 wrt s.\nAnswer: -124933556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 512984180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 1777?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000257148 rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66415289.\nAnswer: 283, 234683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2201111 (base 3) to base 14\nAnswer: -a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 207\/46 + (-638)\/140\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**4 + q**4 + 4*q**4)*(-4 - 3 + 5) - 2*q**4 + 4*q**4 - q**4 + 0*q**4 + 3*q**4 - 2*q**4 to v*q + p*q**3 + w*q**4 + f + m*q**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 2, 2\/11, -138?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -16. Suppose -8*w + 3*w + 4080 = x. Is (14\/(-3))\/((-32)\/w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.54 + -111.54. Which is smaller: s or 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 5*f. Let l be q(-3). Let v be l\/9 + (-8)\/12. Let p be (0 - (-6)\/5) + -1. Is v >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 872776.921461654 - 871811.92146. Let q = -965 + w. Round q to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*n - 5056 = 712*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 4:45 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4, 2*i = 2*o - 1 + 9. Suppose -3*w + 0*w + 389988 = i. Suppose 0 = 5*r - 2*m + w, 7*r - 2*r + m = -130002. Round r to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69280\/3 - -23093. Is j at least -1.4041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.095 - 4.395. What is the second smallest value in t, -1\/3, 352?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56561951 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.97764um in millimeters?\nAnswer: 0.08597764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*r - 3*r + 4*n, r + 4*n = 1. Which is the nearest to r? (a) -1 (b) 37.1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyyyyyyyyyj. What is prob of picking 4 y?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -54 - 6. Calculate the remainder when o is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 75*s**2 - 145*s - 704. Calculate c(77).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9))**(-28)\/(i**(-5\/2)\/(i\/(i*i**18))) assuming i is positive.\nAnswer: i**(473\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5190*o + 9?\nAnswer: -5190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 1535?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88069468 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 2143 - 1367 = 0. Suppose x = -103 + u. Let m(h) = -44*h**3 - 24*h + 14. Let r(a) = 9*a**3 + 5*a - 3. What is x*r(k) + 3*m(k)?\nAnswer: -6*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**2 + 5. Let u(s) = 6*s**2 + 2 + 6 - 12. Let a(y) = -6*u(y) - 5*v(y). Let z(d) = -4*d**2 + 0*d**2 - 2 - 3. Give -6*a(f) + z(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 556 = -o - 10*l, -l - 1110 = -2*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 342*t**2 - 345*t**2 + 5*t + 0*t)*(-3 + 2*t + 3 + (2 - 2*t - 2)*(0 + 3 - 2) + 4 + 4*t - 4).\nAnswer: -12*t**3 + 20*t**2 - 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 37. Let i = 3831 - 3819. Calculate t(i).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-3 - (-2 - 0)) - -666 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 35 - 45 = 0. Let b(m) be the third derivative of -m**4\/24 - 17*m**3\/6 - 1237*m**2 + 1. Let a be b(l). Put a, 1, -0.4, 0.2 in descending order.\nAnswer: a, 1, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 1\/2*p**4 + 9*p**3 + 39*p - 56*p**2 + 207\/2 = 0.\nAnswer: -23, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1000497 and 3994?\nAnswer: 2000994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06398 and -4151.\nAnswer: 265.58098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 10. Suppose -19*i + 125 = -l*i. Let r = 67 - i. Is 7 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 409*q**5*x + 7*q**5 - 3123*q*x + 4*q - x + 1 wrt q?\nAnswer: 8180*q**3*x + 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 784913522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l - l - 4*l)*(-2*l - l + 2*l)*(-4*l - 6*l**3 + 8*l**3 - 5*l**3).\nAnswer: 18*l**5 + 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2450 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 62*d - 82*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*c + 3 = 0, -6*j + 3*c - 9 = -5*j. What is the units digit of (0 - 17)*(j - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b (base 13) in base 4?\nAnswer: 10033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1050*w - 12 = -1054*w. Solve 2*h = w*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 divided by 2?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129721284 by -46797.\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*x + 11*x - 1367700. Let w(p) = 27354 - p - x. Let b(t) = 6*t**2 - 5*t**2 - 23*t**2. Give b(w(g)).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2*(-84)\/3. Let k = 26 - -2. What is the greatest common factor of s and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - 1 + q**2 + 0*q**2 + (-7 + 4*q + 7)*(0*q - 2*q + q).\nAnswer: -6*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 15) + 3 - 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 2)*(-2)\/6*(-135)\/27.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3)\/z)\/z)**(-21)\/(z\/(z**2\/z))**33 assuming z is positive.\nAnswer: z**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - 2*t**2 + 3*t**2 + 0*t + 10*t**2 in the form l*t**2 + c + q*t and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209448 + -209473.0038. Let z = -24.94 - 0.06. Let m = z - h. What is m rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(4\/(-8)). Let k be 5*(0 + (-21)\/(-5)). Let z = 64\/3 - k. Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 21*h + 79. Calculate a(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.85556 - 0.14444. What is the third biggest value in 22, 4, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0 - (-5 + (-5 - -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d. Let o(u) = 229*u**2. Give c(o(y)).\nAnswer: -2290*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 3*y**4 + 2*y**4)*(193*y - 11 - 370*y + 184*y).\nAnswer: 7*y**5 - 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.86, 21 in decreasing order.\nAnswer: 21, 4, 0.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(-4 - 10 - 3)*(n - 1 - 2*n + 0).\nAnswer: 34*n + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263\/19 + -12082\/855. Let l = g - 2\/45. Which is the nearest to 0.1? (a) l (b) 3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -70. Let x(w) be the first derivative of w**4\/4 + 7*w**3\/3 + 3*w**2 + 3*w + 2. Determine x(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 + n**2. Let a be v(-1). Suppose -a*l + 8 = -4*l. Let d be 20\/39 - 4\/6. Sort 1\/2, d, l in descending order.\nAnswer: l, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 11:59 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1429 = 15*o - 37339. List the prime factors of o.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 5. Let c(b) = b - 4. Let r be ((-6)\/10)\/(17\/85). Determine r*c(d) + 2*g(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 8 - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 7 - -4 - 3) + -30.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 * -5526\nAnswer: -2044.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100000001111001 + -1?\nAnswer: -10001100000001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1. Let m(k) = -k - 81. What is -m(i) - 5*z(i)?\nAnswer: i + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64207690.\nAnswer: 2, 5, 6420769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3902437 and 7731?\nAnswer: 35121933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3902393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-44) + (-406)\/8. Let w = j - -257\/5. Factor 0 - w*c**3 - 2\/5*c**4 + 2\/5*c**2 + 2\/5*c.\nAnswer: -2*c*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7009638, -7009625, -7009612, -7009599, -7009586, -7009573?\nAnswer: -7009560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(1\/4). Suppose 0 = -u - t*h - 0 + 10, 4 = h. Solve -5*l + 10 = 0, 1 = -u*c + 5*l - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-60)\/(-9)))\/(30\/32)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/4)\/(((-945)\/(-30))\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (-19)\/(-133) - 153\/(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72a5a (base 14) to base 13.\nAnswer: -98a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + (-37)\/(-5). Is 4\/14 - (-887)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5 - 29. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52\/5 of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -1\/31, -7, 0.2, -8\/49?\nAnswer: -8\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175499*c**5*z**2 - 2*c**5*z + 4*c + 437324*z**2 wrt c.\nAnswer: -3509980*c**3*z**2 - 40*c**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21908054 to the power of 1\/2, to the nearest integer?\nAnswer: 4681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287825927 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6. Let b be h(0). Let v(z) = 6*z**2 - z**3 + 0*z + 0*z + 0*z + 6. Let s be v(b). Solve 2*r - 5*o - 7 = 0, s = 7*r - 2*r - o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-2)\/13) - 1. Let r be b\/8*16\/(-6). Let j = r - -5. Solve y + 1 = -j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3279\nAnswer: -2\/3279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, 0.04, -26\/71 in descending order.\nAnswer: 16, 4, 0.04, -26\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -10. Let f(c) = -3*c - 1. Let t be f(-2). Let j(v) = -v**2. Let k be j(-2). Sort k, t, n.\nAnswer: k, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in months?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127776 is divided by 1844.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k - 1. Suppose 6 = -2*l + 2*s, 2*s - 20 = -l - 17. Let w(q) = q**3 + 4*q + 3. Calculate l*w(j) - 3*n(j).\nAnswer: -4*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 5*o + 741 - 616, 8*w = o - 0*o + 276 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669703442.\nAnswer: 2, 53, 6317957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/29 (b) -1\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 101581110.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -25157 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753607 is divided by 83734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**6\/57 - 4*m**5\/19 + 18*m**4\/19 - 36*m**3\/19 + 27*m**2\/19 - 34. Factor t(b).\nAnswer: 2*b*(b - 3)**3*(b - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12)*-3)\/((-2)\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9605734, -19211456, -28817180, -38422906, -48028634, -57634364, -67240096?\n\"Answer: -w**2 - 9605719*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 + 58. Let p = d + 41. Suppose 2*g = 3*t - p, 0 = -0*t - t - 3*g - 5. Solve -24 = 5*y + 2*z - 9, t*y + 5*z + 29 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 381*d**3*o**4 - 7*d**3*o - 40*d**3 - 2*d**2*o**5 wrt o.\nAnswer: 4572*d**3*o**2 - 40*d**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20*u + 407. List the prime factors of o(13).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 10*p**2 - 3 + 26*p - 1\/3*p**3. What is the units digit of l(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 + 0 = 0, 14714 = 5*z + 2*o. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 246194, 492251, 738308, 984365?\n\"Answer: 246057*w + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 6*a - 7. Let b(m) = -1. Let l(y) = -6*b(y) + q(y). Let d be l(-5). Let n(j) = j**3 + j**2 + 2*j - 1. What are the prime factors of n(d)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.8573*12.93\nAnswer: -373.124889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 - 117. Let m(d) = 11*d + 11. Let n be m(a). Solve u + 4 - 5 = n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 9. Let h(z) = 12 + 9*z + 4*z**2 - 2*z**2 - z**2. Let l be h(-8). Solve -3 = l*p - n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12130 divided by 4807.\nAnswer: 12130\/4807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 + 50 = 41*x - 133 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-90)*(-2 - 3). What is the smallest value in 5, r, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(77) + (sqrt(77) - sqrt(77)*-2*5) + sqrt(77))\/(sqrt(1584) + sqrt(1584)*-2 + sqrt(1584) + sqrt(11))*-5.\nAnswer: -65*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 63.54125?\nAnswer: 63.54125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6651359717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7691.916 hours?\nAnswer: 27690897600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -290997697*d**3 - 282818703*d wrt d?\nAnswer: -1745986182*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 31, -8, 1.\nAnswer: -8, 1, 3, 10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*f**3 - f**2 + 42*f.\nAnswer: 108*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3638984.\nAnswer: 2, 197, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*q*z**3 - 11238*g*q*z - 4*q*z**3 - q*z**2 - 562*q - 5*z**2 + z wrt g?\nAnswer: -2*q*z**3 - 11238*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**4*p**3 - 36770*h**4 + h**2*p**3 + 130834*h**2*p wrt h.\nAnswer: 48*h*p**3 - 882480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 8. Suppose o = -2*q - 1. Let n = q - -21. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177 * 491.9\nAnswer: -87066.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21221100 (base 3) in base 13?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35466481, 70932965, 106399449, 141865933, 177332417, 212798901?\nAnswer: 248265385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, m: 4, e: 4, x: 2, c: 1, s: 1}. Give prob of sequence sxc.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564 + 3*o**3 - 560 + 1695 - 571.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357239.\nAnswer: 357239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -23, 7, 49, 103, 169?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 44 = -50. Let f = -87 + 94. Let l be 2\/(-4) + -11*f\/(-56). Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 1 - 2 + (-2 + 0 + 1)*(6 - 3 - 2) + 2 - 4 + 1 - 2 + 4 - 1)*(42*v**5 + 16*v**5 - 32*v**5).\nAnswer: 260*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 143 = 16*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + -154 + 148 + 2\/2*12. Sort 4, d, 0.5, 3, -0.2 in ascending order.\nAnswer: -0.2, d, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9220581ns?\nAnswer: 0.0000000009220581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 p, and 1 q when four letters picked without replacement from kvvpkqk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 8929*r**2 + r + 0*r.\nAnswer: 8929*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + x = -0*m - 3*x + 112, 4*m + 18*x - 22*x + 112 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 5*n**2\/2 + 3*n - 8. Let i(r) = 2*r + 1. Calculate -11*i(l) + 4*u(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6736592)\/(-6) - 62\/(-93). Let v = 2292766 - j. What is v rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699653*j - 444 = 699727*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s - 2*s + 4*s + (88 - 85 + s - 11*s)*(2 + 0 - 4) - 15*s - 5*s + 6*s - 2 to j + q*s and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 12 = o - 14*r, -4 = -o - 4*r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -62. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2714429 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4397 is divided by 200.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 20, 4 + 1 = 5*d + 3*k. Let g be -34 + (-1 - 1) + 0. What are the prime factors of (-1)\/(d*(-2)\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 300, 297, 294, 291, 288?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let m be v(-3). Suppose -5*o = -m*o. Suppose 0 = -6*l - o*l - 72. Is -13 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 4\/9, 0, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1990848328?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/7 and -24\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-335)\/(-201) + ((-21)\/45 - 2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-81)\/432)\/((-3)\/4). Which is the closest to -0.1? (a) -3 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-2)**2 + 5 + sqrt(63)\/sqrt(81) + (sqrt(700) + -1 + sqrt(700))**2.\nAnswer: -119*sqrt(7)\/3 + 3254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -33485947?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 5.36\nAnswer: 1.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13*h + 70. Let a be c(5). Suppose -8 = -3*w + d, -35 = -a*w - d - 11. Solve y = -r + 1 + 2, -w*y + 12 = -2*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 99, -12, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfefzzfzeezf. Give prob of picking 2 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 778, -5, -40, 2 in descending order.\nAnswer: 778, 2, 1, -4, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -436 - -610. Let j = 2.408 - -181.292. Let m = j - a. What is m rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 15) to base 6\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18d2 + 3?\nAnswer: -18cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 16) in base 10?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2933*t - 79160. Give a(27).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/16368 and -131\/53856.\nAnswer: 1669536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 461539388 to the power of 1\/3, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-34) - (-236)\/17. Let x = 3 - z. Let o(l) = -8*l**3 - 11*l - 11. Let h(t) = -1 + 7 + 3*t**3 - 2 + 4*t. What is x*h(j) - 4*o(j)?\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-45))\/((-9)\/(360\/16))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0*j**3 + 1\/3*j**4 + 0*j**6 + 0 + 4*j + 0*j**5 - 1\/14*j**8 + 0*j**2 + 0*j**7. What is the third derivative of t(q) wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10561579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*28 + 13858936\/(-171333)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11397155?\nAnswer: 5, 7, 11, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5456435, 10912837, 16369239, 21825641?\nAnswer: 27282043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/13 - 732*j**3\/13 + 82778*j**2\/13 - 2891400*j\/13 + 31205000\/13 = 0 for j.\nAnswer: 25, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*i**3*q**4 + 2*i**3 + 34*i**2*q - 5*i*q**4 - 6*q wrt q.\nAnswer: 912*i**3*q**2 - 60*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 9*l**2 - 8*l. Let h be g(8). Let w be ((-5)\/((-300)\/72))\/(3\/10). Solve 0 = w*d - 4*x + 24, 0 = -d - h*d - 4*x + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -506, -767, -1028, -1289?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2460799353 is divided by 258.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -49933191006?\nAnswer: -49933191006.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96915 and 165?\nAnswer: 1066065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 543 and 20036157?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k - 12 = 0. Suppose w = k*s, w + 5*s + 0*s = -40. Let h = w + 18. Solve -8 = -h*a + a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2246 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 29*o + 139. Let i be y(-25). Suppose 6*k = 3*k + d + 16, 0 = -4*k + 2*d + 18. Let m = i + k. Is m 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) 19 (b) 1\/4 (c) -2 (d) 31\/32 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46.4 - -46. Let d = 0.5571 + 0.0059. Let z = d - 0.063. What is the second biggest value in n, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.3 and -88230 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2960100 and 2960100?\nAnswer: 2960100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3053?\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + (-18)\/(-8))*-2. Is x bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8893, 8936, 8991, 9064, 9161, 9288, 9451?\n\"Answer: t**3 + 36*t + 8856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 98*m + 45*m - 74*m - 57*m - 60*m.\nAnswer: -244*m - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/28*(-1005)\/603?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + z = -13, -48*z + 44*z = 4*v - 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 3, z: 13}. Give prob of picking 1 q and 1 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283243 to the power of 1\/2, to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 3510 = -3766 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011196748 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a**2 + 2*a + 13. Give c(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 817679.2nm in kilometers?\nAnswer: 0.0000008176792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 0*m**3 + 0*m**3)*((2*m + m - m)*(0*m + m - 2*m) + 8*m - 8*m + 5*m**2 + m**2 + 3*m**2 - 5*m**2).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gegeggggeg. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/(5\/(-70)). Let b = d - 2. Solve 16 = -b*y - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (1 - -13) - (15 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.38 + -0.18. What is the second smallest value in -16, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - 1\/(27\/(-18)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -166852, -333751, -500636, -667501, -834340?\n\"Answer: i**3 + i**2 - 166909*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4 - 0) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - k + 3*k)*(6 - 3 - 2) + 2*k + 3*k - 7*k + 507 - 901*k + 909*k - 553 - 1171.\nAnswer: 4*k - 1217","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*q**2 + 1041*q**2 - 68*q**2 - 902*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -1112?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -31*s**3 - 3*s**2 - 4*s - 3. What is m(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + 91. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 + 0.9. Put 1\/6, r, -0.2 in decreasing order.\nAnswer: 1\/6, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 19*j**2. Let g(a) = -4*a**2 + 9*a**2 - 2*a**2. Determine g(c(p)).\nAnswer: 1083*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 712*p**4 + 1284*p**3 + 1417171*p.\nAnswer: 8544*p**2 + 7704*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3541045189 to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 + 218*v**2 + 2. Let y(b) = -b**3 + b**2 - 1. Calculate u(p) + 2*y(p).\nAnswer: p**3 + 220*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 31*i**2 - 234*i + 65. Calculate o(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/88 and 31\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-12)*702\/117\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -109*i + 29432. Calculate s(270).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/7546 and -137\/222.\nAnswer: 837606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154 or 25930?\nAnswer: 25930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x**2 + 17*x + 17. Let c(h) = -h**2 + h + 2. Let y(i) = -6*c(i) + k(i). Let s(d) = -4*d**2 - 2*d - 1. Calculate -11*s(z) - 2*y(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2177739183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 e, and 1 k when four letters picked without replacement from zkzzzehxckkkezz?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(2\/2) + (-19 - -866)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 6. Let h be z(0). Suppose 16 = h*m - 170. What is the remainder when m is divided by 2\/9 - 604\/(-36)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -2, -0.4, 0, 132446?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k - 6. Let r(y) = y**3 - 3*y**2 - 6*y + 2. Let o = 5 + -1. Let u be r(o). Is 8 a factor of p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 6754186.\nAnswer: -6754186.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 470 = -1901. Let v be (10\/8)\/((-99)\/(-12672)). Which is bigger: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 428337 and 133.\nAnswer: 8138403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 27, 6, -61 in increasing order.\nAnswer: -61, -3, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:58 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 8:03 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 440857.5mm?\nAnswer: 0.4408575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 4:34 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3)*(3*c**2 - 3*c**2 - c + 3*c**2).\nAnswer: 9*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - -111. Let f = s - 117. Suppose -4*l = f*q - 969, 3*q - 12*l = -7*l + 574. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ab50 (base 13) to base 11.\nAnswer: 36457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164 - -71) + -16 - -78.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + 10001110011?\nAnswer: 10010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Suppose 0 = -2*g + h + 2. Suppose r - b = 1 + 1, 5*b - 38 = -g*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119451580 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**6\/30 - 3*g**5\/10 + 16*g**3\/3 + 141*g. Determine h so that v(h) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2991516 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/7037 and 73\/5902.\nAnswer: 182962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -281*l**5\/60 + 9*l**2 - 8. Let o(m) = -3*m. What is o(a(c))?\nAnswer: 843*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 13. Let r(y) = 2*y + 14 + 8 - 18 + 2*y**p. Let f(l) = 2*l**2 + 3*l + 5. Suppose -1 = q - 5. Determine q*f(b) - 5*r(b).\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 882 and 224028?\nAnswer: 224028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(220)*5 - sqrt(220))\/(-1*(sqrt(10) - (sqrt(40)\/sqrt(4) - sqrt(10)))))\/(4*2*((sqrt(242) - sqrt(242)*-2) + sqrt(242))).\nAnswer: -sqrt(11)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, t: 2, x: 5}. What is prob of picking 3 g and 1 x?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 2:14 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 16*v**2 - 44*v + 43. Let p be g(-12). Which is the smallest value? (a) 1\/3 (b) p (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-328)\/(-369)*6\/(-4))\/(15\/9).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 - 240 = 375*m - 83 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + 6*(sqrt(720) + 0) + 4*(sqrt(720) + 5*(sqrt(720) + 0)))**2.\nAnswer: 2160*sqrt(5) + 648014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 762994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(132)\/sqrt(48) - sqrt(11)))\/(sqrt(196)*2*-5).\nAnswer: sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*n - d - 14, 0 = 2*n - d - 8. Suppose 0 = -4*p - 3*c + 25 - 6, -17 = -n*p + c. Suppose 388 = -3*b + p*b. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/3 (b) -2 (c) -0.04 (d) -125 (e) -1\/2 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1918, -2851, -3710, -4501, -5230, -5903, -6526, -7105?\n\"Answer: -y**3 + 43*y**2 - 1055*y - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102364 and 3656416?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**3\/3 - 9*y**2\/2 - y - 22. What is m(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25863 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/9))**(2\/95)*(f**(-8\/5)\/f)\/((f**(2\/5)\/f)\/f))**35 assuming f is positive.\nAnswer: f**(-5999\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 354 = 5*m, -3*m = -0*m - 2*t - 202. Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - 109. Factor l - 2*w**2 - 1\/2*w.\nAnswer: -w*(4*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 284 and 148.\nAnswer: 10508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135.919 - -136. Let g = h + -87.081. Let b = g + 86.9866. What is b rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - 90*t**2 - 88*t - 1. Let r be q(-44). Which is the nearest to -4? (a) 4 (b) r (c) 5 (d) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3927388*g - 2022403 with respect to g.\nAnswer: -3927388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhkhhhk?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4643*v**2 - 4770*v**2 + 9358*v**2 - 2*v.\nAnswer: -55*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 + -4. Suppose x = -x + p. Let n(b) = 915*b + 2752. What is the remainder when x is divided by n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1870? (a) -32 (b) -0.4 (c) 4\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -2 (c) -2\/5 (d) -0.046 (e) 5\/6 (f) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -336\/11 (b) -0.2 (c) 0.4 (d) 3\/4 (e) 0.753 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -36. Let h(j) = j**2 - 6*j - 16. Calculate the remainder when 90 is divided by h(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 43*h**2 + 3540*h + 1263. Determine z(42).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*(-10)\/(-50). Let v(j) be the third derivative of -n*j**3 - 3*j**2 + 1\/30*j**5 + 0 + 0*j**4 + 0*j. What is the derivative of v(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*m - 35?\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49878 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and 0.031.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 0*t**2 - 3*t**4 + t**4 - t**2.\nAnswer: -2*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/12 - 5*h**3\/6 - 2*h**2 + 13*h. Factor q(i).\nAnswer: -(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -454*q**3 - 1269*q**2 wrt q?\nAnswer: -2724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(20) - -2*sqrt(99)) + -1.\nAnswer: -1 + 13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/21, -4, -7\/151, 2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7111 and 2951?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.6 plus -4707149590?\nAnswer: -4707149622.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 723713 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 96 = 0. Factor 17 - m*d + 13 + d**2 + 7*d - 6*d**2.\nAnswer: -5*(d - 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93113*a**3 - 217501*a.\nAnswer: 558678*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, o: 5}. What is prob of picking 1 o and 3 j?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5212)\/(-62) - 778\/12059. Solve 3*p + j = 45*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 18247.\nAnswer: 766374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -2*u. What is the fourth biggest value in 1, -0.3, u, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 896*r**2 - 176\/3*r**3 + 21952\/3 + 4\/3*r**4 - 15680\/3*r = 0. What is r?\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*b - 144. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -310121*j**3 - 350484*j**2?\nAnswer: -1860726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 7*u**2 - 5*u - 5. Let p be j(6). Suppose -p - 3 = -f. Let v be (-1)\/f + 119\/28. Solve -2*q = l - v, -4*l - 11 = -q - 0*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139.9 + 139.3066. What is a rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*v - 5*k - 20, 0 = -3*v - 4*k + 11. Let h be (-4)\/v*(-70)\/(-4). Let f = 34 + h. Calculate the remainder when 39 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3835\/258 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-308))\/(1\/((-40)\/(-30)))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1103*q - 3859 - 8274 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 541087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1057645, 1057525, 1057405?\nAnswer: 1057285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*m + 63*m - 31*m**2 - 130*m to n*m + j + x*m**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 640 + 20\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8673527865880 minus -1?\nAnswer: 8673527865881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-617 + 617 - 790*c**2)*(-8*c**2 + 2*c**2 + 5*c**2).\nAnswer: 790*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -8\/23, 40, -2\/11, 0.6, 6, 5?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85704527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3570022 divided by 3570022\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by 35.\nAnswer: 348\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -765*a**2 - 6547*a wrt a.\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -36. Let m = -16 + y. Let t = 13\/7 + -46\/21. What is the third smallest value in t, -3, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -51. Let f = -44 - m. Solve t = 3*c + f, 4*t - 4*c = -t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1249*y. Let o(i) = 4*i. Give o(p(n)).\nAnswer: 4996*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w*w\/(w*w\/(w\/w**(4\/5))*w)*w*w)\/(w**(1\/5)*w*w\/(((w\/w**13)\/w)\/w)*w) assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - (-1 + 10 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 794543803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 67*x + 512. Calculate i(57).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(2*d - 2*d + 5*d) - 94 + 2*d - 86 + 189.\nAnswer: 12*d + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 92*f + 581530 = -90*f, -581510 = -2*z + 3*f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7))**(3\/7) assuming b is positive.\nAnswer: b**(3\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -8*u**5 + 1270*u**4 - 4674*u**3 + 3712*u**2 + 1240*u = 0.\nAnswer: -1\/4, 0, 2, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1645611 at least -1645555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -2840\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 4, h: 2, j: 3, b: 1, c: 3}. What is prob of sequence bxj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/140 - (-72)\/(-1008) - ((-23166)\/(-30))\/11.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 8475?\nAnswer: -42375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2956191 * -0.071.\nAnswer: 209889.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37303677 (base 9) to base 6\nAnswer: 1451045324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 19 = -4*c - c, -3*c + 25 = 5*t. Factor 6 - 3*b**3 + 119*b**t - 233*b**2 + 9*b + 114*b**2.\nAnswer: -3*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 9*s**2 + 2*s**2 - 25*s**2 + 11*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) + (-152)\/(-36). Suppose 47 = k*v + 19. Suppose 4*m - 59 = -v. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 29966558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1303612666 to the nearest integer?\nAnswer: 36106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(114)*3 + sqrt(114))\/((sqrt(36)*-4)\/sqrt(6)).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -128070 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 + 9 - 44*k**2 - 9.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**9\/1512 - o**6\/360 + o**3\/3 - 7. Let b(m) be the third derivative of u(m). Find the third derivative of b(j) wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 4*d - 2. Let n(m) = 2*m**2 - m + 4. Let s be n(0). What is u(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*w - 857, 1886*j - 340 = 1884*j + 2*w. Which is smaller: 133 or j?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38*1\/11)\/(1\/(242\/(-132)*6))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44955014 divided by 338?\nAnswer: 133003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -52*r + 1116. Let f = 4 - -20. What is the lowest common multiple of f and u(21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.62 * -0.27.\nAnswer: 0.7074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2275775 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 - ((-221301)\/(-17023) + -2). Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 4*c + 5. Let u(o) = o**2 + 4*o - 6. Let h(z) = 5*t(z) + 4*u(z). Let b = 236 + -239. Determine h(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/(y**(-2)*y))\/y)\/(y\/y**(-3)))\/(y**(-2\/9)\/y**(-2\/15)))**45)**(5\/3) assuming y is positive.\nAnswer: y**(-655\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/2)\/i*i)\/((i\/i**3)\/i))\/(i\/i**(-2\/7))**4)\/((i**(-2\/3))**(2\/127))**(-1\/21) assuming i is positive.\nAnswer: i**(-26297\/16002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1080 and 1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**15*s)\/s))\/(s*s**(-9)\/s)*(s\/((s*s**(1\/4))\/s*s))\/(s**8\/s) assuming s is positive.\nAnswer: s**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let w = 283 + -273. Find the third derivative of w*i**4 - 4*i**4 + i**4 - 4*i**2 + 2*i**a wrt i.\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65149608 plus 0.4?\nAnswer: 1.05149608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16854, 33650, 50374, 67026, 83606, 100114, 116550?\nAnswer: 132914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12380 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.1 (b) 3 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m**2 + 6*m**2 - 3*m - 25*m**2 - m to the form a*m**2 + s + g*m and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 29931 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -117, -78?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7885*g - 411. What is the remainder when m(-2) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**4\/2 + 9*k**2\/2 + 6*k. Let b(h) = 11*h**2 - 19. Let o(f) = -3*b(f) - 5*s(f). Factor o(w).\nAnswer: -3*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 5, h: 4}. What is prob of sequence rc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12816 - -12816. Let g = 7 + -2. Sort q, -1, -2\/7, g in increasing order.\nAnswer: -1, -2\/7, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 - ((13 - (11 + -12)) + -12) - -10\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1742879\/20 > -87143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 177?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84, -88, -92?\n\"Answer: -4*r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 4*t - 54 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 6. Let u be m(6). Suppose u*s = s. Let k be 27\/(-7) + 7\/(-49). Put k, s, 4 in descending order.\nAnswer: 4, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17533545 by 87.\nAnswer: 201535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -344 + 342. Let f(h) = 4*h**3 + 4*h**2 + 2. Let t(m) = -m**3 - m**2 + m - 2. Let j(c) = f(c) + t(c). What is j(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/11 - 674*p**2\/11 + 2720*p\/11 - 248.\nAnswer: -2*(p - 2)**2*(p + 341)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-1552)\/728 + (-4)\/(-14))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*z - 68*z + 58*z - 2*z + 1 - 1 + (-3 + 5 + 0)*(2*z - 1 + 1) - z + 2 - 2)*(2 - 5 + 1)*(-1 - 4 + 2)*(2 + 4 - 5) to the form j + x*z and give x.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298 - 1248 - 2389)*(-2*i + i - i) - 3*i + 7*i - 2*i.\nAnswer: 6680*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.96 + 0.04. Let u = 6.8 + -7.2. What is the smallest value in a, -1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32970 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 + 8*q + 6. Let z(c) = -5*c**2 + 9*c + 7. Let n(y) = -6*j(y) + 5*z(y). Let i be n(-1). Let m = 0 + i. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -24. Suppose -j + 2*y + 739 = -0*j, i = -j - 4*y + 757. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 5*t - 28 = 18*v, 0 = -4*v - 4*t + 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.35 (b) 2 (c) -3 (d) 3\/2 (e) 3\/379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18330972851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 19*p + 20. Determine u(-15).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 11*k - 7. Calculate the remainder when a(5) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -6. Sort 3\/4, q, -0.01 in increasing order.\nAnswer: q, -0.01, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 + 4*w + 7. Let z(b) = b**2 + b. Let c(g) = -n(g) + 3*z(g). Calculate c(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a - 2. Let k be h(-3). Suppose -3*n + 6 = -k*m - 19, -3*n - m = -5. Suppose 2 + 0 = 2*v, -3*v + 45 = n*y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*m**2 - 25 + 25.\nAnswer: 131*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - 7*q - 9. Let s(f) = 4*f**2 + 6*f + 10. Let b(i) = 3*p(i) + 2*s(i). Let g be b(-8). Let a = 6 - g. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d**2 - 2*d**2 + 5*d + 2*d**2 in the form j*d + q + r*d**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 138 - 102 = -4*p, -n = 4. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g + 2*g. Suppose y + 9 = g*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 21 + 20 = -9 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -276122570*q - 657061532.\nAnswer: -276122570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2370 and 1474043.\nAnswer: 1476413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**5\/7 + 26048*c**4\/7 + 363540*c**3\/7 - 2266200*c**2\/7 - 31809024*c\/7 + 33685632\/7 = 0.\nAnswer: -6498, -12, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 519*i**5 - 112289*i**4 + 517447111*i**2 wrt i.\nAnswer: 31140*i**2 - 2694936*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 180544036 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 12*g**2 - 5*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**4 - 49*d**2 - 235. Let r(u) = u**4 - 25*u**2 - 117. Let h(m) = -5*r(m) + 2*y(m). Differentiate h(z) with respect to z.\nAnswer: -4*z**3 + 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (((-4320)\/(-21))\/5)\/(6\/28) and 12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6520473 * 0.07.\nAnswer: -456433.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -200001222 (base 3) to base 11\nAnswer: -9998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 14*z + 25. Suppose 2*k - 2*p = 86, -z*k - 4*p + 86 = -4*k. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 13*b**2 + 43 - 41 - 15*b**2 + 5*b + b**3. What is the remainder when c(15) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 18*z. Let k(h) = -384*h. Calculate y(k(w)).\nAnswer: -147456*w**2 - 6912*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -16?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 81 + 5. Let a = -8 - x. Calculate the smallest common multiple of (-7)\/(-1) + 2 - 1 and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 6. Let p = 4 + -8. Let x = -4 - p. Let t be g(x). Solve 3*k - 6*k = t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Suppose -d*t + 4*r + 24 + 9 = 0, 4*r - 12 = 0. Let i be (-2)\/6*(-3)\/t. Is 1 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 270405062 - 10?\nAnswer: 270405052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 4. Let v = 428 - 435. Let m = -9 + v. Which is greater: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3128\/184)\/((-10)\/20)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 65, 95?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*j + 58*j - 448*j + 45*j + 50*j + 47*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 2*v + 27254*l - 27252*l + 112 = 0, -3*l - 168 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.45997mm to micrometers.\nAnswer: 7459.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.7806 and 283814?\nAnswer: 283816.7806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (39 - 19) - (207 + -12 - 26)\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1573) - (sqrt(1573)*-2*-4)**2) + (-1 + (sqrt(1573) - sqrt(1573)*3))**2).\nAnswer: -377516 + 220*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 = -0*b - y, -4*b + 5*y + 6 = 0. Let g = 2 - b. Suppose 0 = 3*z + j - 7, 4*z - g = 2*j + 3. Solve z*q + 5 = -1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/321175 and 50\/346869.\nAnswer: 8671725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 278965.5ng in kilograms?\nAnswer: 0.0000002789655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 25*b**2 + 44*b + 16. Let q be t(-22). Let r be 68\/714 + q\/42. What is the highest common divisor of r and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (777\/28)\/(-37) + (-5)\/((-560)\/68). Which is the biggest value? (a) 1.1 (b) -2\/9 (c) 0.2 (d) 9 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*t**2 - 1 + 463*t**2 - 1105*t**2 + 1 + 332*t**2.\nAnswer: 51*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.495, 1, -1, 0.1, -58?\nAnswer: -2.495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*o + v, 6*o = o - 4*v - 10. Solve -3*h - 2 = 5*k - 24, -3*h - 13 = -o*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyykkkkkkkskkyykz. What is prob of picking 1 k and 1 y?\nAnswer: 25\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -7*w**6\/30 - w**4\/12 + 8*w. Find the third derivative of z(o) wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543324825 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + sqrt(425)*5*1 + (sqrt(425) - (-2 + (-1 + sqrt(425))**2 - sqrt(425))).\nAnswer: -424 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28400 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: Let w(v) be the first derivative of -3*v**5 + 29*v + 11 + 29*v - 63*v. Differentiate w(h) wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.3 (c) 2\/11 (d) -68.6 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37781896.\nAnswer: 2, 29, 162853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 4*f**2 - 6*f**2 + 3*f**2 + 0*f**2 - f**2 + 0*f**2 + 0*f**2 - 2*f**2 + (6*f + 14*f - 4*f)*(-2*f - f + 5*f) - 69*f + 69*f + 14*f**2 - 2*f**2.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 515251178 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2647 + 15775. Suppose 3578 = d - 5*s, -b = -2*d - s + 3896. Let i = 50151\/14 - d. What is the common denominator of 27\/2 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 32. Let w be (-2)\/4 + 26\/4. Calculate the remainder when 299\/w + 4\/24 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-1)*u))**(-2\/63)\/(u\/u**0*u)**(-24\/7)*u**1\/u**3*(u*u**0*u)**(-8) assuming u is positive.\nAnswer: u**(-706\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 24*b**2 - 14*b - 47. Is n(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 12 = 0, -b - 24 = -2*g + 3*b. Find the second derivative of 6*o**5 - 17*o**5 - 5*o**5 - 6*o + g*o wrt o.\nAnswer: -320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6*u = -5*h + 29, -5*u + 2*h = -7. Let s = -0.11 - -0.01. Which is the smallest value? (a) -4 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83901856 - 242.0932.\nAnswer: -83902098.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909530212?\nAnswer: 2, 227382553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 0 - 3*z + 0*z**2 + 1\/6*z**3 - 1\/12*z**4. Factor y(a).\nAnswer: -a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-66)\/(-27) - 2 - (1349868\/(-54) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:14 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-284 - -285)*(-5)\/(-29))\/5?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/((-51104)\/11179)*-116?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 93*d**3 - d**2. Let g be a(-1). Let m = g + 108. Find the first derivative of 5*s**4 + 2*s**4 + s**4 + m wrt s.\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 6*v. Let p be (52\/8)\/13*6. Let g(f) = -5*f**2 - p*f**2 + 9*f**2. Give b(g(i)).\nAnswer: 2*i**4 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-564)\/24)\/(4 + 81\/(-18)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d - 12*d + 9*d + d. Determine z(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000996451 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6*6\/(-6))\/((2350\/(-12300))\/(-47))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 14 + (-23 - -22) - (8 - 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 5*k - k)*(-4 + 3 + k + 24).\nAnswer: 3*k**2 + 69*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 - 9. Let g(v) = -v**2 + 1. Let k(n) = 6*g(n) + z(n). Let t(c) = c**2 + c + 4. Determine 3*k(o) + 2*t(o).\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17d2 (base 14) to base 12.\nAnswer: 25a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 2*o - o + (-2 + 5 - 1)*(-o + 2*o - 3*o) - 2*o + 2 - 2 - 1 + 2*o + 0 + 3.\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*y - 7. Solve -y*v - 16 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-781)\/88 + 6 + 3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 236028450?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 e when three letters picked without replacement from {q: 2, w: 1, y: 2, e: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.00579006 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 4*l + 3. Let g be i(-4). Suppose -5*b + g*c + c + 21 = 0, 0 = -2*b - 4*c + 14. What is the first derivative of -b*k + 4 - k + k + k wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 4. Let m be v(-4). Suppose -m = -4*c + 4. Let l = -34 - -54. Solve l = y + c*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30915278.\nAnswer: 2, 15457639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4354 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-66 + 83)) + 73.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + j + 1. Let p be d(-1). Let f = -2 + 2. Suppose 0*v + 4*v = f. Solve -5*s + 2*s - p = v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -101*y + 4149. Let j be l(41). Solve 14 = -4*p - 2*b + 16, 0 = -2*p + 2*b - j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8855*b + 4844 + 13800 = -8619*b for b.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*z**3 + 312*z**3 + 683*z**3 + (-z + z + z**3)*(1 + 0 - 3) - 1 + 1 - z**3 in the form a + w*z + i*z**3 + p*z**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*r + 67*r + 40*r - 2 - 193*r + 1214*r**2 wrt r.\nAnswer: 2428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y + 30. Suppose -36 = -135*x + 144*x. Let a(m) = m - 1. Let w(l) = x*a(l) - 2*f(l). Find the first derivative of w(s) wrt s.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-64)\/(-12))\/4 + (-16)\/(-6). Let r(u) = -u**3 + 5*u**2 + 5. Let t be r(5). Solve t*i - 9 = -j*v, -4*i = -v - i - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.951 - 0.049. Let x = t - -16. Let n = x + 27. Which is the third biggest value? (a) -3\/7 (b) n (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2264a - c9?\nAnswer: -22735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 10*p**2 - 11*p + 9. Let d be t(-6). Suppose 5*f - 55 = -3*l, 5*l + d*f = 8*f + 25. Let x(z) = -z + 6. Calculate x(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 c, and 1 k when four letters picked without replacement from {h: 5, k: 7, q: 3, g: 1, c: 2}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9162.\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 l when four letters picked without replacement from {i: 11, l: 5}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -484205, -968293, -1452377, -1936457, -2420533, -2904605?\n\"Answer: 2*f**2 - 484094*f - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - w + 1. Let l = -309 + 314. Suppose l*n + 174 - 189 = 0. Give c(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 4. Suppose -6 = 5*t + 9. Let b be x(t). Let l be (-75)\/(-65) - (-24)\/(-156). What is the greatest common divisor of b and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 6235*m**2\/4 + 3117*m\/4.\nAnswer: m*(m - 3117)*(2*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 0)\/(21\/(-6)). Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(-1)*6. Let l = 2.6 - 3. Put 2\/13, w, l in descending order.\nAnswer: 2\/13, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/((-36)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6012 is divided by 1291?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 2865731.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 12:56 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -27*g**2 + 4377*g + 149. Calculate z(162).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + (3 - -1) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 15*w**3 - 151*w**2 + 19*w - 13. Let p(o) = 7*o**3 - 75*o**2 + 9*o - 6. Give 13*p(d) - 6*s(d).\nAnswer: d**3 - 69*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 2*i**2 - 4*i**2 + (-2*i + 3*i + 0*i)*(i + 0*i + i) - 64*i - 25*i**2 + 64*i)*(-5*i + 2*i + i).\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129563?\nAnswer: 7, 83, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 5. Let k(j) = 9*j**2 - 4*j - 9. Let w(z) = -8*z**2 + 3*z + 9. Let h(n) = r*w(n) - 3*k(n). What is the first derivative of h(i) wrt i?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 + 2527349*n - 2527348*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -21263183\/10 and -2126317 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 13*g - 111. Give x(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/8 - 6403*c + 81996818.\nAnswer: (c - 25612)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104 - -83)\/(1\/6) + (-30 - -15).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1683\/28050*20\/1)\/((99\/(-150))\/11)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 11\/30*y**6 - 2\/3*y**3 - 2*y + 8\/105*y**7 + 1\/6*y**4 - 55*y**2 + 0 + 3\/5*y**5. Factor c(l).\nAnswer: 4*(l + 1)**3*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.53847 to two dps.\nAnswer: -193.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -40. Sort -8, v, 0 in ascending order.\nAnswer: -8, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/8, 0, 0.2, 58, -0.0884 in descending order.\nAnswer: 58, 4, 0.2, 0, -0.0884, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -976 divided by -2\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4 = -2*g - 10, -2*f + 8 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*f, 5*f + 117*i - 113*i + 52 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)*-3)\/sqrt(12))\/sqrt(2).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:20 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 y when four letters picked without replacement from {e: 2, o: 4, g: 2, v: 2, y: 4}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 1:56 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0522 times 0.58854?\nAnswer: 0.619261788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 = 4*y + 1, -3*y + 2*g + 19 = 0. List the prime factors of y\/(4\/84 + 0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/15 + -10 + 153396\/14220 - (-1 - -2).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:18 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133147 by -29.\nAnswer: -133147\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1985\/(-1588)*40\/50*30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -114.4, 0.3, -4, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -357437 bigger than -357435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6511649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 - 6*a - 3. Let q be w(6). Let v = q + 8. List the prime factors of (-2)\/(-5) + 38\/v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = 5*s. Solve s*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 times 3955.8?\nAnswer: -4390938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 + -71. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-12) + (-76)\/(-16). Let t(y) be the third derivative of 0*y**4 + 0 + 0*y + y**2 - 1\/180*y**m + 0*y**3. Find g, given that t(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6))**(-35)*(p\/(p*p**(-1)\/p*p))**(-8) assuming p is positive.\nAnswer: p**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b - 3 = 0. Let v be (b - 0)\/(1\/(-2)). What is the first derivative of 2*i**3 - 3*i**3 + 0 - v wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.289 rounded to 1 decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2456, 2455, 2454, 2453?\nAnswer: 2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -850, 2\/5, -2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+-58\nAnswer: -58.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 12 = 11*f. Suppose -a = 4*j - f*j - 6, 0 = 3*a - j - 34. What is the second derivative of -29*s**2 + 29*s**2 + s**5 + a*s wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 1\/38, 14?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -500.76152 to the nearest 10.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2209173 - -274271. Let c(v) = -21762*v**2 - v - 6. Let a be c(6). Let o = a + h. What is o rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 - s - 3. Let g(d) = d**2 - 577*d - 3. Let u(j) = g(j) - v(j). Suppose u(z) = 0. Calculate z.\nAnswer: -192, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7137 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(32) - sqrt(32)) + 4)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, x: 2, r: 2, d: 12, s: 1}. What is prob of sequence rodr?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34206545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*l**2 - 56*l**2 + 67*l**3 - 53*l**3 + 108*l**3 - 42*l**2 wrt l.\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/9)\/((-2)\/(-66)). Suppose 4*l = r + 134. Is 13 a factor of 8\/(-2)*l\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11229*l + 25*l**2 - 32*l**2 - 5614*l - 5615*l.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*70\/(-56)*-8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/148 (b) -4 (c) 1 (d) 0.03 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 286985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = -3*x, -2*x - 2*q = -6*q - 4. Suppose -v + 46 = 4*t + 7, 5*v + 25 = x. Calculate the remainder when 142 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3864 + -3868. Put -0.8, x, -0.13 in descending order.\nAnswer: -0.13, -0.8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 177 - 174. Suppose -4*t = -2*m + t + 49, -w*m + 5*t = -71. Calculate the remainder when 85 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 6*s + 308. Let g = s - -44. Solve v + 2*l + 4 = g, -2*l = 4*v + 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 - 108?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154468*k - 14736*k + 83276*k + 8261*k.\nAnswer: 231269*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 16*j**2 + 3*j + 17. Is n(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 216 = -5*z + 205, -6 = 2*f + 3*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i - 3. Let t(h) = h - 1. Let u = -30 + 31. Give u*j(c) - 5*t(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/360 - r**4\/48 + r**3\/18 + 26*r**2. Let l(m) = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -0.343?\nAnswer: -0.343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 12. Let n be z(7). Suppose 5*p - 3*p + n = 0. Let t be ((-1999)\/(-6))\/p - 5\/(-30). Round t to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -1, -4 in ascending order.\nAnswer: -4, -1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 - -11.9. Let y = -240 + 1917\/8. Let h be 2\/(-12)*-10 + 0. Which is the second biggest value? (a) y (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 times 2.8245?\nAnswer: -0.96033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4915\/3 - -1639. What is the biggest value in n, -0.647, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121 - 10?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -373 divided by 373\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 j when three letters picked without replacement from ccyjncn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (-10 - (-36 + 10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1611302.42 and 10.6.\nAnswer: 1611313.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (67 - 21) + -33.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 44341 (base 5) to base 6\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3292 divided by 4516\nAnswer: -823\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umqttzq. What is prob of sequence mzt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560137 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04782124 and -235996.\nAnswer: -235995.95217876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let y(l) = -l + 6. Let w be (-2)\/(6\/12 - 0) - 0. Let i(m) = -5*m + 33. Let f(v) = w*y(v) + i(v). What is f(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-880)\/(-40)*(-1)\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 243 + 1053*n + 536 + 193 + 473 - 3351*n wrt n?\nAnswer: -2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2184, -2180, -2176, -2172, -2168?\nAnswer: -2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 154 + 160 + 1163*x - 314 - 1162*x. Let z(q) = -6*q**2 + 8*q + 2. What is 4*o(l) - z(l)?\nAnswer: 6*l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -506505.856 rounded to the nearest ten?\nAnswer: -506510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34424 is divided by 3773.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 583*l + 2012. What is the ten thousands digit of a(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 5*h**9\/504 - 37*h**5\/60 + h**4\/8 - 2*h**2. What is the third derivative of i(n) wrt n?\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 30 = -f. Suppose 224*b - 247*b = -621. Calculate the lowest common multiple of b and f.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 1\/5 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiuiuuiiuuiu. What is prob of sequence iu?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -4*(sqrt(7) + -2) + -6*sqrt(7)*2.\nAnswer: -15*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-20)\/28) + 561\/(-21). What is the remainder when 59 is divided by (-3604)\/(-306) + (-2)\/c*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 38750?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5925 at most -6202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**3\/3 + 7*t**2\/2 + 8*t - 3. Suppose 0 = -z + 4 + 2. What is the least common multiple of 2 and d(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 1, g: 1, r: 2, n: 2}. Give prob of sequence ppn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1804 + -3126?\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5*sqrt(13) + 2)*6 - (-2*sqrt(208) + (-1*sqrt(91))\/sqrt(7))).\nAnswer: -63*sqrt(13) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50571, 50558, 50545, 50532?\n\"Answer: -13*o + 50584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(9\/3))\/(67\/(-670)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 2\/3 (c) -2\/803 (d) 5 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 25 = 7*i + 5*q, -i - 4*q = -11. Let b be (2 - 4\/i)*9. Suppose 5*n = 1 - b. Which is smaller: -6\/5 or n?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 796131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.161832076 rounded to 5 decimal places?\nAnswer: -1.16183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 2*i**2 + 5. Let p be f(0). Solve -p = 4*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -63. Let f = 64 + b. Let h be (-86)\/f + 140\/(-63) + 2. What is the third smallest value in -3, h, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 36*g**2 + 31*g - 228. Give l(-37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 19*p**2 + 125*p + 1235. Calculate d(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*u + 6 = -149*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfom when four letters picked without replacement from fobmfmmbmfmofommof?\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Let h(a) = 2 + 1 - b + 4*a + 1. Let k(o) = 9*o + 7. Give 5*h(u) - 2*k(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7137 is divided by 2307.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypwzzzzayzwz. Give prob of picking 1 y and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 1359863.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3. Let b(m) = -6*m**3 - 3*m**2 - 5*m. Let i be (-1 + 2)\/(49\/(-196)). What is i*p(l) + b(l)?\nAnswer: -2*l**3 - 3*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10466442 and 2142.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 13*l + 5. Let c be f(-10). Let i = c + -33. What are the prime factors of (124\/(-6))\/(i\/(-21))?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2556403 + -4?\nAnswer: -2556407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 4. Let f(w) be the third derivative of w**4\/24 + w**3\/6 - w**2. Give 14*f(d) - 4*k(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0.2, -17, -856?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27911 + 27911 - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464739 and 99975217?\nAnswer: 14083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1994 - -1993.9. Let y(f) = 6 + f - 6 - 20*f**2. Let l be y(1). Which is bigger: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -444.24 - -3.24. Let r = -454.7 - d. What is r rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24091 is divided by 251?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 84\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 480707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i + 4. Suppose 0 = -i*c + 12 + 4, -c + 11 = y. Suppose 1 = 2*o - y. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 * 1.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Suppose 4 = -x, 0 = 3*v - c*v - x - 18. Is 13 a factor of (1 + v)\/((-4)\/26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -703b5 (base 14) to base 5.\nAnswer: -32112114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130899 divided by -19.\nAnswer: -130899\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 11:36 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1947875 (base 12) to base 2\nAnswer: -10100010011010000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 76 (c) 1\/6 (d) -0.11 (e) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -1\/6*n**4 + 0*n**2 + 0 + 0*n**3 + 2*n. Let z(i) = -3*i**2. Determine t(z(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*s - 10, 33 = 5*a - 4*s + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (918\/765)\/(((-15)\/(-60))\/((-1)\/6)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200*l**3 - 351*l**2 wrt l.\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npt when three letters picked without replacement from vuytvpyyyyyyyvynyyvy?\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*g + 3 + 122*g - 297*g - 24*g + (0 - 1 + 3)*(g + 0 + 0) in the form z + d*g and give d.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/132*1*-4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 151\/2? (a) -5 (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13770?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77408 + 201108. What is v rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 95 + 5 - 37 - 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.051, 5, 0.14?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*q + 5*d + 49, 0 = 901*q - 903*q + 4*d + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0+-63731\nAnswer: -63731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryo when three letters picked without replacement from rorrorryryrrrr?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 113751*m**2\/2 - 32832*m - 3390 = 0. What is m?\nAnswer: -1130\/12639, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7266, -14766, -22736, -31410, -41022, -51806, -63996?\n\"Answer: -39*g**3 - g**2 - 7224*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/(-5) - (-6)\/(-15). Suppose 5*h = h - 40. Put 0, h, k in increasing order.\nAnswer: h, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 7*m - 2 + 3*m)*(1241*m**2 - 1241*m**2 + 65*m**3).\nAnswer: -130*m**4 - 130*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13331301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let p(y) = -8*y**2 + y. Calculate 20*m(u) + 4*p(u).\nAnswer: -12*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 356, 1, 3 in descending order.\nAnswer: 356, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2 - 13*f**3 - 34*f + 8*f**3 + 131*f + 36*f**3 + 16*f**3 wrt f.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 - 26*q**2 - 15*q + 8. Let m be f(-8). Is -688 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:55 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14134 (base 6) to base 4\nAnswer: -202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-2\/9))**(-4\/17)*(i*(i**5\/i*i)\/i)\/i**(3\/4)*(i**(-7)\/i**(-11))**(-50) assuming i is positive.\nAnswer: i**(-120119\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(500) + sqrt(500))\/(sqrt(20)\/(-2*sqrt(2))) - sqrt(24)\/sqrt(48)*-3*3)**2.\nAnswer: 2601\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 0.3 (c) 0.2 (d) 7.4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -110780.\nAnswer: 19\/55390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (-23 - -16) + 20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498771 to the power of 1\/2, to the nearest integer?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 2*k - 2 - 3*k + 8*k. Let v be i(1). Suppose -t - 3 = -v. Solve t*q - 3*h - h = -16, q - 3*h = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2 - r**3 + 2*r - 4*r**2 - 2 + 3*r. Let k = 12 - 17. Let t be n(k). Is t bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -2*o**7\/15 - 16*o**6\/5 + 49*o**5\/5 + 88*o**4\/3 - 40*o**3 + 645*o**2. Let w(g) = 0. What is g?\nAnswer: -15, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305, 280, 253, 224, 193, 160, 125?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1200 and 1320?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2649*v**2 + 148*v - 1158. Let f(a) = -2649*a**2 - 111*a + 1158. Let s(x) = 4*f(x) + 3*p(x). Differentiate s(u) wrt u.\nAnswer: -5298*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 10*s\/7.\nAnswer: 2*s*(s - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/4)\/(-5) - (-794)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2134 and 65\/1164?\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 23*g**2 - 4*g - 22. Let l be o(-23). Let a = -70 + l. Solve 4*p - 16 = 0, a*b + b + 12 = 3*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240 + -224. Let a(j) = -12*j + 194. Let o be a(v). Solve 0 = 2*r - m + 5 - 3, -2*r = -3*m + o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/1)\/(2 + -2 + 1). Let f be (-60)\/8*(-110)\/v. Suppose -5*h + 10*h = 3*x + f, -3*x = -2*h + 31. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17\/3 + -1747\/312. Calculate the common denominator of k and -5 + 0 + (2653\/(-154) - -26).\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + o - 5*o)*(-1 - 3 + 1) + (2 - 3 + 2)*(-12*o - 4*o - 19*o) in the form d + b*o and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 81 - 11 = 0. Let s(o) = o**2 + 10*o - 15. List the prime factors of s(g).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529822.1 centuries to decades.\nAnswer: 5298221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2807367 + 7448630 = -o, -4*o = 4*s + 20511988. What is s rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517800 rounded to the nearest 10000?\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (2 + -4)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -381, -342, -279, -186, -57, 114?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2096 or -2100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 5*l - 16. Let o be r(-11). Suppose -o = -7*j + 6. Calculate the common denominator of -32 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3\/16 (b) 2 (c) 0.6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.067 + 2.933. Which is the second biggest value? (a) 2 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -0*q + 2*c, 2*q - 6 = 4*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60056060, 120112115, 180168170, 240224225?\n\"Answer: 60056055*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13689*j + 1498 = -13796*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c - 1. Let a(m) = -m. What is -3*a(q) - y(q)?\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -16643382?\nAnswer: -1\/1188813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 48*v**2 - 410*v - 12. Calculate g(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2)*(-40)\/(-2700)*9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + x - 28 = 0, 3*x - 23 = 4*r - 67. Solve -5*o = -o - r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1295*b = 1360*b + 390 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**(-1\/71)*((o*o*o**(2\/3)*o*o)\/o*o*o)**(-9) assuming o is positive.\nAnswer: o**(-25349\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + c = -1924, -4*c - 1942 = -f - 9*c. Suppose 260 = 3*s - f. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107300 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + 2)\/((-3)\/186)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3 - 3)*(0*u - 4*u + 2*u)*(0*u + u - 4*u + (-1 + 2 + 1)*(4*u + u - u))*(4*u - 5*u + 8*u).\nAnswer: -140*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -14*b - 3. Let l be q(-4). Suppose 13 = -6*d - l. Is ((-6)\/4)\/(d\/1562) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 3*o**2 + 12*o + 7. Give a(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - n + 9 = 0, 0 = 8*h - 2*h + 2*n - 62. Calculate the greatest common factor of 2112 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80*5.104\nAnswer: -408.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 343.1 - 366. Let n = 23 + h. Which is the second smallest value? (a) 0.3 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:39 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 583 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69718?\nAnswer: 2, 11, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z**2. Let t(x) = 20*x**2. What is t(k(n))?\nAnswer: 3380*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (0 - -1))\/1. Suppose -4*n + 13 = 3*c, -4*n - c = -l*c - 23. Calculate the greatest common divisor of n and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 7042\nAnswer: 3\/1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 5*c + 7608 = 3*l, 3*l = -5*c + 7605. Is 48 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-12 + 22 + 28*l**2 + 204*l**2 + 734*l**2 + 401*l**2).\nAnswer: 2734*l**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j - 8597 + 25775 - 8594 - 8584.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*n + 80, -5*h = -4*n - 25 + 91. What is the units digit of 14\/(-49) + 508\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j = 6*j. Solve j*i + 5*f = i + 14, -i = 3*f - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -682 + 3409\/5. Let p = 6 - 8. What is the nearest to -2\/7 in 1\/6, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24449026 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u + 6. Let x(q) = -43*q**2 - 56*q - 7. Let h be x(-1). Let n(b) = -b - 1. Determine h*n(l) - w(l).\nAnswer: l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 5*o**2 - o - 6. Give q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3634*t + 10. Let n(v) = 2*v + 19. Determine u(n(q)).\nAnswer: -7268*q - 69036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 790 divide 15495060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 697748\/(-272) + (-1 - -8). Let l = -2576 - i. Calculate the common denominator of -1 + (655\/(-12))\/5 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2891 is divided by 262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 18*t - 522. Give b(-15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -9*u + 1585. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848 = 72*t + 1280 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/(-5) + 20\/(-100). Suppose 0 = 2*b + 3*g - 11, 0 = -2*b + 5*b - f*g - 8. Factor -2\/15*o**b + 2\/15*o**2 + 0 + 0*o**3 + 0*o.\nAnswer: -2*o**2*(o - 1)*(o + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158 - 155. Suppose -3*k - 4*v = -373, q*k + 2*k - v = 637. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 5*a + 10, 4*g + a + 2 + 36 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2906465.000005 + 2906457. Let h = 8 + m. Round h to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 6813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 - 27*w**2 + 17*w + 5. Let k be z(6). Which is the closest to k? (a) 2\/9 (b) -4\/7 (c) 3 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196a5c (base 14) to base 10.\nAnswer: 902074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/5 - 64*k\/5.\nAnswer: 4*k*(k - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o**6 + 7\/24*o**4 + 0*o + 0*o**7 + 0*o**3 + 0*o**5 - 1\/112*o**8 + o**2 + 0. What is the second derivative of l(p) wrt p?\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 1. Let k = -52 - -45. Let y(u) = 2*u - 3*u - 3 + 6*u. What is k*r(q) - 3*y(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 1 + 5. What is the lowest common multiple of b and -6 - -11 - (-3 - (-1)\/1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32117435 divided by -35\nAnswer: -917641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -3. Suppose -d*n + 3*n + 46 = 0. Suppose 0 = -24*v + n*v + 20. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 11*p - 12. Let m be d(6). What is the remainder when ((-480)\/21)\/(m\/63) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - b**3 + 5 + 305*b + 0*b**3.\nAnswer: -b**3 + 305*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -691 + 460. Let c be ((-6)\/9)\/(14\/y). Let r(z) = 326*z - 26. Let h be r(c). What is h rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -673.174*-0.088\nAnswer: 59.239312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 28*l + 149. What is the units digit of q(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 442 + -441. Let o = -8 - -5. Let c be -11 + 13 - z*o. Calculate the greatest common divisor of 30 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-9))\/((-294)\/4))\/(-2)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**3\/3 - 4*z**2 - 86*z + 4. Let q(v) be the third derivative of v**5\/30 - 2*v**2. Determine q(g(f)).\nAnswer: 8*f**2 - 64*f + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 - 7*u - 4. Let d be 2*6\/(-24)*6. Let j(f) = -f**2 + f + 1. Let o(t) = d*k(t) - 12*j(t). What is a in o(a) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 908, -57, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 151 = 22*w. Solve 2*d = v + w, 4*v + 11 - 3 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m**3 - 2914*m**2 + 9*m. Let c(x) = -5*x**3 - 1458*x**2 + 4*x. Give -5*c(r) + 2*h(r).\nAnswer: r**3 + 1462*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -83*t**3 - t**2 - 120*t + 370. Calculate l(3).\nAnswer: -2240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7565 - 8598. Is -1033 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1581 + -1105. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/22))\/v)\/v*v**(1\/17)*((v*v*v**(3\/14))\/v*v)\/v*v*(v**(-18)*v)\/v assuming v is positive.\nAnswer: v**(-21955\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 86412 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5\/6)*2\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 1 - (-5 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u*u*u*u**(-4)*(u**1)**20)\/(u*u*u*u*(((u**3*u)\/u)\/u)\/u*u*u*((u\/u**(-2))\/u)\/u)**(2\/23) assuming u is positive.\nAnswer: u**(421\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.765 - 0.235. Let f = 5.8 - 10.8. Is f at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-175)\/(-1) + -3)*(-10)\/(-8). Suppose 0 = 2*l + 3*w + 57 - j, 174 = 2*l - w. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 - 8*w - 30. Let v(b) = 35*b - 4276. Let y be v(122). Determine a(y).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 + 214. What is the remainder when 95 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39393, 39398, 39415, 39450, 39509, 39598, 39723?\nAnswer: 39890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30280263?\nAnswer: 3, 13, 29, 41, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:57 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - u - 1. Let k be z(2). Let q(c) be the second derivative of 23*c**3\/3 + c**2\/2 + 6*c - 2. Calculate the remainder when q(k) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 980?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64884070 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine sixths of a hour?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33\/545 + 142\/545. Solve 0*f - k*f**5 + 0 - 2\/5*f**4 + 0*f**2 + 0*f**3 = 0 for f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -27*b**2 - 657*b - 9. What is q(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 457943472 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205785763.\nAnswer: 10091, 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 6. Let y be s(-6). Suppose 2*t + 11 = 2*r - r, -2*r + 18 = -3*t. Let j = r + 15. Calculate the highest common factor of j and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 113610 = 15*j. Suppose j = 21*w - 23317. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 116*u**2 + 116*u**2 - 977*u**3.\nAnswer: -977*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4343863?\nAnswer: 1471, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -58, 50 in descending order.\nAnswer: 50, -1, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6) + (-19 - (-32 - -9)) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 5. Let l be n(-10). Let d be l\/(-2)*(-86)\/5. Let i = d - 39. Calculate the highest common factor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oodod. What is prob of picking 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2508 + -532. Let w = o - -3039.994212. Round w to 4 dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 10570*v\/3 - 7044.\nAnswer: -2*(v - 5283)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufui when four letters picked without replacement from uiyiuifbuoffb.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-2*z**3 - 2*z**3 + 3*z**3)*(-313 - 16*z**2 + 313).\nAnswer: 16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244047 - -671850. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11235 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: Rearrange -2*y**3 - 3*y**3 + 6*y**3 - y**2 - 4*y + 0 + 34*y + 3 to s*y**3 + r + x*y**2 + f*y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*v**3 + 5 + 72*v**3 - v - 2*v - 7*v + 7*v as a + o*v**3 + x*v + z*v**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15858 is divided by 1963.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(45\/(-10)) + 629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9139554 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 70*i**3 - i + 2. Let d be h(1). Let k = d - 69. Suppose 4*s = 2*f + 400 + 212, -s = -k*f - 153. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y*y)**(3\/7)*y**(-6)\/y**(-4) assuming y is positive.\nAnswer: y**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5882.39 - -5925. Let c = 97 + -140. Let f = c + r. What is f rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**6\/21 - 47*m**5\/7 - 349*m**4\/28 - 116*m**3\/21 - 2888. Solve b(r) = 0 for r.\nAnswer: -116, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (1 + (-21)\/27). Let m = -5 + 8. Sort 5, f, m in descending order.\nAnswer: 5, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -990768 divided by 2?\nAnswer: -495384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348491 is divided by 674243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -361 + 426. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/39 in -0.1, -3\/5, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 - -302. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-5)*(-50)\/20. Suppose 49 = x*y - 57. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197825 divided by 29\nAnswer: 197825\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44226 and 30?\nAnswer: 221130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 4?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, n: 1, k: 1, q: 3, s: 5, l: 1}. Give prob of sequence kkl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 24 = -4*r. Suppose 4 - r = -q. Solve 4*i - 16 = 4*c, 0 = q*i - c - 4 - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 8*x**2 + 19*x. What is p(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/248 or 1?\nAnswer: -1\/248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, -941, -2 in decreasing order.\nAnswer: 2, 0.3, -2, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113013101 (base 4) to base 3.\nAnswer: 11210212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*t - 109, -226*k - t = -229*k + 63. Calculate the greatest common divisor of 132 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -127.365 and 0.12.\nAnswer: -15.2838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2 - 33*u - 190 = 0.\nAnswer: -5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Let c = j - 2. Suppose -c*a = -0*a. Solve 3*r + 4*i - 4 = 4, a = -3*i + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-60)\/9)\/5)\/(-2). Let y be (6\/(-90))\/((-1)\/6). What is the closest to 4 in o, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + -3 + -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 12. Let i be c(-9). What is the tens digit of 1\/(-1)*(-43 + i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -363805.01686?\nAnswer: 363809.01686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z - 4. Let v(s) = -s**2 + 1 + 0*s**3 - 3 - 3*s**3 - 2*s. Does 10 divide v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3153 - -7452. List the prime factors of c.\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/75*15)\/((-3)\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17763 and 23684.\nAnswer: 71052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 + 8*z**2 - 28*z - 139. What is c(-8)?\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 49 + 82 = 0. Suppose l = f - 50. Let j = f - 58. Solve -4*q - 3 + 20 = -h, j*q - 3*h = 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 2835?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25731486.\nAnswer: 2, 3, 11, 43319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/(-4)*(6 - 8). Factor 10*j**2 + 5*j**5 + 20*j**4 - 22*j**3 + g*j**3 + 12*j**3.\nAnswer: 5*j**2*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from ululullluuull?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128\/3 - -44. What is the third biggest value in 6, -2\/13, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 8, s: 2, r: 5}. What is prob of sequence rsws?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -345?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 + 3*v + 3. Suppose -36 = t - 36. Let s be q(t). What is the third derivative of 11*d**5 + 17*d**s - 17*d**3 + 12*d**2 - 3*d**2 wrt d?\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 14, -61, -1338, 2 in decreasing order.\nAnswer: 14, 2, 0, -1, -61, -1338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 0 - -89 - -1*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0 + 8. Let m be y\/(4\/(-18)) - -2. Let k = 23 - m. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148664 is divided by 255.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000978 to 6 dps.\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 1:34 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 14*z**2 - 11*z + 3. Let s be y(-12). Let t be ((-16)\/40)\/((-6)\/s). Which is the smallest value? (a) 3 (b) -3\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkzkkwkzkkkkkz. Give prob of sequence wzk.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 477 and -0.07?\nAnswer: 477.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/4 + 13*n**3\/3 + 5*n**2 - 24*n + 18. Let f be w(-12). Suppose f = -h - 50 + 237. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/5)\/(-14)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 9, 2*u = 7*u + a - 12. Suppose b + 8 = -2*c, 2*c = c - 5. Let w = u + b. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -7. Let x be 11 + (-4 - (3 - m)). Calculate the highest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 340*v + 5. Let h(d) = 68*d + 1. What is 11*h(q) - 2*z(q)?\nAnswer: 68*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*(2 + -3))\/1. Let k = 0 + f. Let b = 8 + k. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxfrxfdrsyxy. What is prob of picking 1 d, 1 f, 1 x, and 1 r?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2418 and 228696.\nAnswer: 7089576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.04 + -1.24. Let p = 2.1 + c. Let b = p + 0.180035. What is b rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 7:32 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*y - 0*y - 3, 0 = 2*y - 8. Solve -z*c = 964 - 955 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1489057.17 - -0.12\nAnswer: -1489057.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32949 + 33999 = 21*n. Solve -j + 2*a = 4, 0 = -3*j + n*a - 52*a + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3624500 rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*x - 71*x = -7. Let p(o) = 0*o**2 + 3 + 2*o**2 - x - o**2. Determine p(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 29 = -3*q. Suppose 0 = 2*j + 2*j + 3760. What is the remainder when j\/(-18) - (-4)\/(-18) is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(5\/3225*5). Let b = 784 + c. Suppose -8*u + b = -475. List the prime factors of u.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 9*g + 17. Let w be z(7). Let v be w*-2*6\/(-9). Solve -v*n - 2*c - 1 = n, n - 5 = -3*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 5:36 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 862 = -4*t, 319 = 4*t + 4*m - 545. Let b be 0 - ((-5826)\/(-27) + 2). Let r = b + t. Which is bigger: -0.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1911.6149982 + -1903.7825. Let z = b - 7.7525. Let l = z + -0.08. What is l rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**2\/2 + 5115*v + 10240 = 0.\nAnswer: -2, 2048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010520943125 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15282301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -483, -692, -1037, -1518, -2135, -2888?\n\"Answer: -68*b**2 - 5*b - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (161 - 317 + 396)*(1 - 3*j - 1) - j - j + 3*j + (-4 + 0 + 6)*(-j + j - 2*j) - j - 1 + 1 + 2*j + j - j - 5*j - 2*j + j to z*j + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -16 (c) -2\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/5 + 32*a**2\/5 + 2*a\/5 - 32\/5 = 0.\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l**2 - 58*l + 2. Let f(h) = 145*h. Calculate f(q(k)).\nAnswer: -1450*k**2 - 8410*k + 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/12)\/((-3)\/36))\/(40\/24).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + j - 2, -150130 = 4*x + 5*j - 150129 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27517*o**4*z - 12*o**4 - 3*o**2*z - 3*o**2 + 37328*o*z - z - 11 wrt o.\nAnswer: -660408*o*z - 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68684*s**2 - 34346*s**2 - 34334*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 16*r**2 + 17*r - 22. Let u be h(15). Suppose 2*j - z - 169 = -0*j, j = -4*z + 89. Suppose u*x - 3*x = j. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 3*l**2 + l**2)*(-21 - 60 + 129)*(2*l - 2*l + l).\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1566, -3165, -4750, -6315, -7854, -9361?\nAnswer: -10830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -937\/21730?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + 29. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 22*i + 19*i - 39*i - i**3 - 2*i**4 - 3 + 4*i**4 to y*i**4 + d*i**3 + n*i**2 + l*i + f and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 2455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*-89706.\nAnswer: 2691180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-5)\/(5\/(-2)). Let a be 7 + 1 - c\/1. Suppose -l - 3 = -a. Put 2, -2, l in increasing order.\nAnswer: -2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/3, -62.9, -4\/21 in descending order.\nAnswer: -4\/21, -1\/4, -1\/3, -62.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 157191*a**2 - 56*a + 8558148 wrt a?\nAnswer: 314382*a - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.09 (b) -5 (c) -3 (d) 0.604 (e) -3\/7 (f) -162 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 0.2, -0.1, -5, 132\/31?\nAnswer: 132\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**3*t**3 - 183*j**3*t**2 + 4319*j**3*t + 3*j**2*t**2 - 2*j*t**3 + j*t**2 + 2*j*t + 115383*t wrt j.\nAnswer: 36*t**3 - 1098*t**2 + 25914*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*-6 + 0. Let u(r) = -2 - 1 + 2*r + g*r**2 + 2. Is u(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 7*c - 50 + 102 + 3*c.\nAnswer: -4*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538019925 to the power of 1\/2, to the nearest integer?\nAnswer: 50379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (93768\/5236 - 34\/1309)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/12746?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1068 divide 324365484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*d**2 - 5 + (d + 2*d - d)*(2*d + 0*d - 6*d))*(34 - 38 - 28) in the form t + i*d + a*d**2 and give a.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = t - 13*g - 15, 5*t + g - 45 = 0. Let a(q) = -29*q. Let p be a(1). Let l = p - -41. Calculate the lowest common multiple of l and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(3 + (sqrt(1584) - (1 + sqrt(1584) - sqrt(1584))) + 0 + sqrt(1584) + -5) + -5)**2*2.\nAnswer: -192*sqrt(11) + 50690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 20 - -7) + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryyeosn. What is prob of sequence rsy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = -q, -q = 4*q + 3*x - 37. Let m(f) = 4*f - 7. List the prime factors of m(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1040 + -1042. Let w = -0.5 - -0.3. Let o = -1.2 - w. Which is the smallest value? (a) -8\/3 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**2 - 13*p\/2 + 1\/2.\nAnswer: (p - 1)*(12*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 (base 9) in base 10?\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86449 rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(2\/(-4)*22\/((-264)\/1)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -q + 3*o - 0*o, 4*o - 20 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13556 - 13556.006959. Round s to 4 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 28*c**2 - 89*c - 75. Calculate the remainder when 928 is divided by r(31).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4996 and 20?\nAnswer: 24980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553775 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -105 in increasing order.\nAnswer: -105, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -21299*i - 170399. Determine a(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48731, -97435, -146117, -194771, -243391, -291971?\nAnswer: -340505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.559, -0.2, 0, -6 in decreasing order.\nAnswer: 4.559, 0, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.3. Let y be (0 - -1)\/(1*3). Let h = -8 + 4. Which is the biggest value? (a) g (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -465423\/2708 or -173?\nAnswer: -465423\/2708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -5. Let f(i) = 3*i - 3. Let c(w) = 4*w - 4. Let y(n) = m*f(n) + 2*c(n). Let x be y(-3). Calculate the greatest common divisor of 8 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 4308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14382, 14258, 14166, 14124, 14150, 14262, 14478, 14816?\nAnswer: 15294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -303, -595, -887?\n\"Answer: -292*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212012 - 12?\nAnswer: 1212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 342392777 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*2)\/sqrt(3))\/(sqrt(60)\/sqrt(5)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -90\/61 in -739, 3.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5203597 litres?\nAnswer: 520.3597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 8*u + 6. Let h be f(8). Suppose -3*b + h + 15 = 0. What is the least common multiple of 11 and b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018746283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -z + 57, -219*z - h = 60 + 582 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 133843.6 rounded to the nearest 100?\nAnswer: 133800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m - 20 = 0. Suppose -12 = f - m*k + 2, 3*f + 3*k - 18 = 0. Solve 0 = -3*p - f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -156 - 1?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 144995 at most as big as 144994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -254*o**2 - 780*o + 12. Let g(a) = -507*a**2 - 1563*a + 21. Let v(b) = 4*g(b) - 7*i(b). What is the second derivative of v(y) wrt y?\nAnswer: -500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 3640 - 3641. Which is the closest to -0.1? (a) -243 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a7b + -4?\nAnswer: -6a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Let f(i) = i + 6 - i**2 + 0*i**3 - i**3 - s*i. Suppose -3*h + 2*h = 4*u - 16, 5*h = 2*u - 8. What is f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04313543 to 3 dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 48 + 34 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40 - (2\/8 + 33\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156100 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - u**2 - 2. Let q be w(-2). Let m = 1729 - 3459\/2. What is the closest to -1 in q, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 665401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l + 468 = 50*l. What is the remainder when l is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3934 and 84?\nAnswer: 23604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -38278346 - 6840\nAnswer: -38285186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1, 2, -147, 5 in ascending order.\nAnswer: -147, -3, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1548 divide 1469052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 10*t**2 + 4*t - 10. Let k(y) = 2*y**3 + 9*y**2 - 3*y + 9. Let o(x) = -6*h(x) - 7*k(x). Let q be o(-2). Solve 0 = -6*c - c - q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -618 less than or equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven eighths of a microsecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12*(3 - 2)*(-2)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 22*l - 24*l + 3.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 - 2*z**4 + (0 - 4*z + 0)*(34*z**3 + 357 - 357))*(0 + 0 + 2).\nAnswer: -276*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9300.5 - 9300. Let k = -4 + 4. Suppose 4*b - 20 = 2*p - k*p, -b + 12 = 3*p. What is the smallest value in -4, -1, n, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 40*h - 20. Let w(r) be the first derivative of r**2\/2 - 40. Let n(y) = m(y) - 6*w(y). What is the first derivative of n(z) wrt z?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 997080 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -0.1, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5\/9 - 388*g**4\/9 + 23618*g**3\/9 - 356312*g**2\/9 - 5534720*g\/9 - 15564800\/9 = 0.\nAnswer: -5, 64, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-13 - ((-4 - 13) + 4)) - 39.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 168?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 0*i**4 + 46 + i**3 - 2*i**3 - 47 + i in the form h*i**4 + k*i**3 + z*i**2 + p + g*i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -cd?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 803*p + 19817. What is a(-24)?\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**4\/4 - 2*i - 31. Let b be y(0). Let w(t) = t**2 + t - 2. What is w(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -5*a + a. Is a a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -101*a + 39. Suppose -5*j - 3 = 12. Does 50 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 4 + (1 - 1). Suppose a = -3*a - 3*j + 347, 4*j = r*a - 279. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = a - 610, -3*a = -8*k + 3*k + 610. Let p be (-61)\/(32\/(-8) + 3). Calculate the greatest common factor of k and p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130395?\nAnswer: 5, 7, 32297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 36*w**2 + 93*w - 1386.\nAnswer: -3*(w - 11)*(w - 7)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -1\/12*m**3 - 6*m**2 + 0 + 0*m - 5\/96*m**4 - 1\/60*m**5 - 1\/480*m**6. Suppose x(l) = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14\/2963, 0.3, 1\/122, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 1 - 1)*(-5 + 4 + 0)*((-2*h + 5*h - 13*h)*(-2*h - 3 + 3) - h**2 - 2*h + 2*h).\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 less than -38150\/523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14972\/5 + 2986. Find the common denominator of -107\/340 and c.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 13) to base 3.\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10984.8+9525.1148\nAnswer: 20509.9148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77274121*j**4 - 179076512*j wrt j.\nAnswer: -927289452*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + h + (4 - 1 - 1)*(551*h - 1623 + 1623).\nAnswer: 1103*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**3\/3 - k**2\/2 + 36*k - 6. What is the tens digit of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 147850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 34*h + 5382. What is the remainder when h is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 2*f**3 - 3*f**3 - 2*f**3 + 2*f**3 - 2*f**3 + (-2*f + 4*f + 0*f)*(-f**2 + 0*f + 0*f) + 1 + 2*f**3 - 1 - 5 - 2*f**3 + 5 - 4*f**3 + 4*f**3 + f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/4)\/(t\/(t*t\/t**(-19))*t))\/(t\/t**(-1\/29)*t**(-7)) assuming t is positive.\nAnswer: t**(2693\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36093, -72122, -108145, -144162?\nAnswer: -180173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133560454 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 25*j - 12*j**2 - 11*j**2 - 6*j**2 + 28*j**2 + 5*j**3 as r + v*j + h*j**3 + d*j**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/(-189)*36\/(-30). What is the nearest to -0.1 in d, -22\/7, 3\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -139e36?\nAnswer: 139e3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 times -3?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -4, -1397\/3, 2\/5, -1\/19?\nAnswer: -1397\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 102 = -2*x, 5*y + x - 332 = -3*x - 284 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -4\/3 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 62 = -h, -5*l + 28 = 4*h - 255. Let t = l - 23. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k. Let o(p) = -11*p**2. Calculate z(o(x)).\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -62, -116, -216, -380, -626?\n\"Answer: -3*k**3 + 4*k**2 - 17*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -7) + 16 - -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -156?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 0. Let v = -0.06 - p. Let x = -0.5 + 0.3. Put x, 4, v in descending order.\nAnswer: 4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13099\/4 + 3292. What is the common denominator of x and (-3948)\/(-224)*4\/(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.1. Let y = 0.1 + t. Suppose -4*d - 3 = -5*l - 21, 0 = -5*d - 5*l. Sort 1\/11, y, d in ascending order.\nAnswer: y, 1\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*j**3 - 79*j**3 + 58*j**3)*(-37 + 25*j + 70 - 36).\nAnswer: -1925*j**4 + 231*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 18*d = -39*d + 21. Solve 9 = -r + y, -101*r = -104*r - 2*y - d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 163\/57, -4, 9, -1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5)*((-10)\/(-6))\/((-58)\/(-174))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 31. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 188, 345, 542, 779?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 429 times 121139\nAnswer: 51968631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = 3*b, 4*k + k - 33 = b. Let d(v) = v**3 + 34*v**2 - 407*v - 14520. Let w be d(-33). Solve w = -x + k*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.8357m to kilometers.\nAnswer: 0.0928357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*c = 2, 5*y - 20 = c + 4*c. Suppose 0*k - 9 = -y*k. Solve 2*w - 6*l = -2*l - 12, k*l - 7 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**3 - 48*j - 12378 with respect to j.\nAnswer: 12*j**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 5*l**2. Let f(h) = h**3 + h**2 - 655*h + 655*h - 2*h**2. What is -c(z) - 3*f(z)?\nAnswer: -z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(165)\/(sqrt(99)\/sqrt(144)))\/(((1*(sqrt(160) - sqrt(10)) - sqrt(10)) + sqrt(10))\/sqrt(2)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54990*a - 55221*a - 18942 = 0 for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, j: 2, o: 3, d: 1, q: 10}. What is prob of picking 2 o and 1 d?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -32*u**2 + 1. Let y(b) = -b**3 - 192*b**2 - b + 6. Let g(k) = 6*d(k) - y(k). Let x(h) = -7*h**3 - 4*h. Determine -3*g(t) - x(t).\nAnswer: 4*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -17. What is the greatest common divisor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 10*f**2 + 10*f + 15. Let w be s(11). Suppose 28 = 6*y - w*y. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*b**5 - 124*b**4 - 12*b**3 + 116*b**2 + 60*b + 8 = 0. Calculate b.\nAnswer: -2, -1, -1\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 3. Let g = 4 - 3. Let t be (-1)\/(3\/(-18)) - g. Let a(k) = 3*k - 4. Give t*v(j) - 4*a(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-4)\/(-6))*-78. Which is bigger: n or -27?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 95*j + 1714. What is the hundreds digit of x(-63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1473538 and 3.\nAnswer: -4420614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*j = 106*j + 690*j - 976. Let k be ((-2)\/(-3))\/((-2)\/12). Suppose 4*b + b = 25. Sort k, b, j in ascending order.\nAnswer: k, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5125497 + -5125497.10699918. Let a = -19.9 - -19.793. Let f = u - a. Round f to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:35 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d - 88*d - 77*d**2 - 8*d**2.\nAnswer: -85*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29580*k**2 + 29296*k**2 - 58553*k**2.\nAnswer: 323*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2264521, -4529040, -6793559, -9058078?\nAnswer: -11322597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132980268?\nAnswer: 2, 3, 11081689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 2. Let u = g - -103. Calculate the greatest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 2*b**2 + b + 2. What is m(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**2 - 3 + 1431*u - 2871*u + 0*u**2 - 3 + 1434*u as f*u + y + n*u**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*v. Suppose v = 2*s - s. Suppose 4*z - 2 = 3*z - 3*a, 3*z + 4*a - 11 = 0. Solve u - 1 = z*k - 3*u, s = k - 5*u - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1250 + 1254. Which is the third smallest value? (a) 10 (b) -44 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 91 = -10. Put 28, p, -1, 57 in decreasing order.\nAnswer: 57, 28, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 - 121664*y - 3529097 = 0.\nAnswer: -29, 121693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*c + 930*c = 3009. Let g be (-38)\/(-4) - (-1)\/2. Let z = -6 + g. Solve -k + 2 = k + c*l, z*k + 32 = 3*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t - 55. Let n(m) = 664*m - 2. What is d(n(j))?\nAnswer: 3984*j - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3380 divided by -169\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s - 6 = -41*s, 4*t - 30 + 122 + 68 = -26*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11) - (-969)\/(-187) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199104 and 226338.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-20))\/(-3)*555*21\/126?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -513.135 + 0.135. Let w = 8274044.681319423 - 8274557.68132. Let n = i - w. What is n rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003210 - -1112?\nAnswer: 1010322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9424, -9179, -8934, -8689, -8444?\nAnswer: -8199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0 + 0*h**2 + 9 - 2*h**2 + 8 + h. Let p(g) = -g**2 + g + 9. Let i(b) = -3*m(b) + 5*p(b). Is i(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -12*w + 16. What is the remainder when 130 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13634, -54516, -122652, -218042, -340686, -490584?\nAnswer: -667736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -22\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2575465 * -4.\nAnswer: 10301860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -25*h - 1678. Let n be x(-72). Let o be -2 + (18\/(-117) - 54\/(-13)). What is the greatest common divisor of o and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8*x + 1221 = 0. Let v = 75 - x. Round v to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uke when three letters picked without replacement from eeeueeuemmuukemu?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (-5*sqrt(243))**2) + 2)*-3.\nAnswer: -27*sqrt(3) + 18219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, n: 1, s: 1, f: 5, k: 2}. What is prob of sequence sw?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1953, -1952, -1951, -1950, -1949, -1948?\n\"Answer: r - 1954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*y + 18*y + y**2)*(144 - 154 - 716).\nAnswer: -726*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18*-3*(-234)\/52?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 36*t - 62*t - 4.\nAnswer: -98*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 729778, 729788, 729812, 729856, 729926, 730028?\nAnswer: 730168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.08605 - 0.08605. What is the closest to n in -0.7, -3\/4, 8?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -12. Let r = 5.6648 - 1.5648. What is the second biggest value in 11, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*z**2 + 14*z**4 - 328 + 135*z**4 - 43*z**2 wrt z?\nAnswer: 596*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489695351.\nAnswer: 5519, 88729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*f + 1, -3*t = f - 10 - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248908 by 2.\nAnswer: 124454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1192*w - 2178. Let a(f) = 597*f - 1092. Let p(g) = 5*a(g) - 2*r(g). What is the first derivative of p(h) wrt h?\nAnswer: 601","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from ekcexeckkcckcece?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4, 1752, -8, 5 in ascending order.\nAnswer: -8, -4, 1, 4, 5, 1752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 12. Let t be 0 + (-3 - 10\/l). Find the third derivative of 2*i**t + 2 - 4 + 2 - 12*i**3 wrt i.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06392 to three decimal places.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 14\/(-4))\/((-5517)\/504 + 11)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -18.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -2, 1, 1017.\nAnswer: -2, 1, 67, 1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert cacb88 (base 13) to base 6.\nAnswer: 250120501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/9 + 55904*v**2\/9 - 390657152*v\/9 = 0 for v.\nAnswer: 0, 13976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**8\/24 - 7*d**4\/24 + 5*d**2. Find the second derivative of s(w) wrt w.\nAnswer: 280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t + 64 = 0. Let y(n) = -4*n + 27. Let i be y(9). Let h = t - i. Is -6 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -1023405?\nAnswer: 1023381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 63*i**2 - 71. Let p(c) = 4*c. What is z(p(u))?\nAnswer: 1008*u**2 - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**2 - 43706440*x + 95512644873680 = 0.\nAnswer: 4370644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 - 63*h + 289. What is q(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -89, -124, -141, -134, -97, -24, 91?\n\"Answer: q**3 - 54*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8299237562?\nAnswer: 2, 7, 11, 83, 649291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25359 > 25360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 + 2*r**4 - 2*r**4 + (-9*r**4 + 3*r**4 - 5*r**4)*(2 - 4 + 3) as k*r + m*r**3 + g*r**2 + s*r**4 + q and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((52\/(-39))\/(4\/6))\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2, 61*n + f = 79*n - 91 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 28221 (b) -0.32 (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 0 + 0*p**2 - 2\/9*p**5 - 8\/9*p**3 - 8\/9*p**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024085 rounded to 5 dps?\nAnswer: 0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81.1 + -76.17. Let w = -0.07 - r. Let d = -7 - w. Is -0.4 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15738 and -0.1.\nAnswer: -0.015738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1196895644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/35 in 41, -3, 40\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 10*x**2 - x - 14. Let c be 1*3*(-5)\/(-3). Suppose 0 = -v + c*k + 5, -2*k - 10 - 6 = v. Let l be q(v). Are l and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12640 and 5710752?\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-3)\/f*f)*f**(-2\/21)*(f**(-1\/5))**32 assuming f is positive.\nAnswer: f**(-262\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u = 70890 - 27330. Calculate the greatest common divisor of 275 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -l - 3*l, -l + 3 = 2*o. Suppose 5*d + o*z = 111, -68 = 5*d - z - 191. What is the remainder when 165 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(975) + sqrt(975)))\/((sqrt(3) + sqrt(3) + sqrt(33)\/sqrt(44))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243.803 milligrams in tonnes?\nAnswer: 0.000002243803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 1 - (15 - 9) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 9:26 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*a**4 + 3045573*a**3 + 16*a**2 - 1640740.\nAnswer: 456*a + 18273438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z - 152 = -80. Let d be 15\/(-18)*(-2)\/2. Let i = 1\/12 - d. Is z >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 868276672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r - 4*r + 11*r)*(2 - 2 + r**2) + (-11*r**2 + 11*r**2 - 7*r**3)*(-6 + 1 + 0).\nAnswer: 31*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 813.4207 meters to kilometers.\nAnswer: 0.8134207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -535372.774 rounded to the nearest 100?\nAnswer: -535400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + p + 4)*(90 + 89*p + 60 - 130) as o + y*p + a*p**2 and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 1 = 4*c, -c = 3*h + 89 - 79 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/9748 and 71\/4.\nAnswer: 9748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 13. Let t = 11 - k. Let v be 28\/(-42)*(-5)\/((-60)\/9). Which is the third smallest value? (a) -4\/5 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 + 801 = 27*t. What is the remainder when 8358 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.07065 + 0.04445. Let p = f - -1.02. What is p rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.022 (b) -142 (c) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 292992 by 224.\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -287 + 29. Let d = x - 31. Suppose -o = -8 + d. Are 2 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwznzzww. Give prob of picking 2 z, 1 w, and 1 n.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**5\/5 + 18*u**4\/5 - 102*u**3\/5 + 244*u**2\/5 - 249*u\/5 + 18 = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -3*u**2 + 3*u + 1\/3*u**3 - 3. What is the units digit of f(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1575)\/(-7))\/(-25)*6)\/2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d9 (base 16) to base 4.\nAnswer: -3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1859, 3772, 5739, 7754, 9811, 11904?\nAnswer: 14027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 56*k**2 + 1099*k\/4 - 219.\nAnswer: (k - 219)*(k - 4)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 539*z**3\/6 - 12*z - 2. Let o(r) = 9*r. Calculate -2*k(n) + 121*o(n).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -2\/5, -2 in increasing order.\nAnswer: -2, -2\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 62.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 81*o**3 + 24*o**2 + 33*o + 47. Let q(c) = 23*c**3 + 8*c**2 + 11*c + 16. Let r(b) = -2*p(b) + 7*q(b). What is r(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11160, -25291, -39422, -53553?\n\"Answer: -14131*p + 2971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 + -7.87. Let x = g - -7.8. What is the closest to 0 in -5, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237559575.\nAnswer: 3, 5, 11, 101, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a minute in seconds?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = -8. Let p(n) be the third derivative of n**6\/120 + 7*n**5\/60 - 3*n**4\/8 - 5*n**3\/6 + n**2. Determine p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1530 - 616. Calculate the remainder when b is divided by 115.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(8\/(-6) + 2). Let h = 0.402 - -0.098. Which is the third biggest value? (a) o (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = 0, 2*j - 10 - 16 = 2*b. Suppose -j = -5*g - c, c = 2*g - 0*g. Is 54 - 10 - 1*g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -7 + 3*y**3 - 3\/8*y**4 - 9*y**2 + 12*y. What is k in f(k) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1. Let i(q) = 17*q**2 - 2*q - 1. Let k be i(-1). Let r(x) = 3*x**2 - 43*x - 29. Let s be r(15). Let l(v) = 3*v - 18. What is k*g(t) + s*l(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 + 210*d - 210*d.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 288 = -k. Let i be 149*-2*(-2)\/k. Let s = i - 1\/6. Calculate the common denominator of s and 47\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -405 (b) 2334\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/110858 and -125\/19561398.\nAnswer: 215175378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19502 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/20 + 5*z**4\/12 + z**2 - z. Let b be (-2)\/(-9) + 0 + (-172)\/(-36). Let s be y(b). Solve 0*c - s = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 78404\/272 + ((-7)\/(-4) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/60 - 7*p**4\/12 - 9*p**3 + 187*p**2 - 2. Let h be f(-7). Let q(k) = -2*k**2 - 5*k + 7. Calculate q(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3 - 1 + 3 - 6 - o. Let h be w(-4). Solve 4*z = -h*t - 18, -4*z = -t - 5 + 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - -23. Suppose 3*c = 2*h + 28, -7*c + 29 = -3*c - h. Suppose -5*q = -19 - c. Solve -3*s = -2*m - m, -2*s - p = q*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5907*t + 864*t - 603*t to q*t + d and give q.\nAnswer: -5646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyyyfyyyyyyyyyyyyyy. Give prob of sequence ffy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-13))\/(10\/20).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 4) in base 2?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 18 = 6*v - 10*v, v = 5*y - 90. Calculate the remainder when 5964 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 5*x - 6. Suppose -3*m - 24 = m. Let o(t) be the second derivative of 7*t**4\/12 + 3*t**3\/2 - 11*t**2\/2 - 34*t - 2. What is m*o(b) + 11*q(b)?\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(8\/24*3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8334130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2911 + 2974 - 3*24\/4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**2*w - 2950*c**2*x**2 - 3*c*w*x**2 - 2*w*x**2 + 5*w + 105301*x wrt c?\nAnswer: 6*c*w - 5900*c*x**2 - 3*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -1571428.\nAnswer: 7857140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-7))\/(21\/49*-2). Which is the nearest to -1? (a) n (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 6:44 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146475 * 5.\nAnswer: 732375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -6125\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31763.\nAnswer: 23, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 + 304. Calculate the remainder when l is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/9 (b) -35 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28600 is divided by 6989.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14481\/(-11263))\/((-2)\/84).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 33*d**2 - 17*d - 9. Let l(a) = -4*a**2 + 2*a + 1. Let s(r) = -51*l(r) - 6*p(r). Find the first derivative of s(h) wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 339284011.\nAnswer: 5\/339284011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 1*(21 - 10\/(-5)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*48\/9*-3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660420 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/18*2\/(7\/7)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {h: 5, n: 4, g: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:48 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, t: 2}. Give prob of sequence ttmt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3965612755 to the nearest integer?\nAnswer: 62973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 11*x**7\/63 + 68*x**6\/45 + 67*x**5\/30 + 5*x**4\/9 + 2*x + 201. Solve n(i) = 0.\nAnswer: -5, -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850 (base 15) in base 12?\nAnswer: 4ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f + 9. Let v = f + 1. Which is the nearest to 1? (a) 3 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 21*w + 25. Let q(o) = -o. Let h(r) = l(r) + q(r). Let a be ((-18)\/(-3) - 1) + 16. Is h(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 9*a - 4. Let m be z(8). Suppose 4*u + m*s + 12 = -0*s, 0 = 4*u - 3*s - 16. Solve 2*l + 2*v + 10 = 0, -l = -4*v - 4 - u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xapagagaxkakaaxkkegg. Give prob of sequence ka.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*d = -44, -4*u - 3*d = -2*d + 49. Let h = -9 - u. Solve w - 8 = -h*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204 - 17 + 1387 + 350)*(4*p - p - 5*p).\nAnswer: -3848*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**9\/60480 - g**8\/5040 - g**6\/144 + 13*g**5\/30 + 24*g**2. Let l(x) be the third derivative of c(x). Calculate l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 - 6*a**3 + a**3 + 4*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/((-1)\/42). Suppose 3*j + 8 = k. What is the derivative of j*l - 7 - 5*l - 3*l wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7703 - 7701. Find v, given that 0*v + 0 - 2\/9*v**d = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**6\/30 - 269*k**5\/15 - 363*k**4\/2 - 546*k**3 - k**2 + 84*k - 3. Factor w(s).\nAnswer: 4*(s - 273)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -128 in 3\/5, -25, -4, 0.2, 0.1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 98. What is the third biggest value in 26, -4\/7, w?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q - 765. Suppose 5*g = 12 + q. Calculate the remainder when 130 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 1 = -5*b, 76264*k + 2*b + b = 76261*k + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 2*z - 11 - 10)*(-2*z**2 - 3*z**3 + 2*z**2) to the form v*z**3 + j*z**4 + i*z + y*z**2 + p and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32 - (-1)\/(1\/2*2). Calculate the highest common divisor of h and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-1881))\/((-10)\/(-45))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110812?\nAnswer: 2, 13, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25331*r = -25071*r - 13260 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27377\/4 + 6844. What is the third biggest value in -82, -5, d, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*l - 7. Let v(i) = -i - 1. Let z be v(l). Suppose 6 = -z*y + 46. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 - 104. Suppose -5*i - 66 = -2*i. Let c = h + i. Which is bigger: 28 or c?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103846 or 103838?\nAnswer: 103838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**4 + 6*g**3 - 6*g**2 + 6*g - 3. Let o(w) = 11*w**4 - 13*w**3 + 13*w**2 - 11*w + 5. Let c(v) = -5*a(v) - 3*o(v). Factor c(u).\nAnswer: -3*u*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*q - 2*l, 5*q - 2*l - 28 = 0. Suppose 0 = -p - 2*t + 2, -q*p - 5*t - 5 = p. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 3*w - 5*o, 16*w - 4*o - 458 = 14*w. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -606, -921, -1256, -1617?\nAnswer: -2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n**2 - 1004*n + 341. Determine l(-84).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 13*u + 14. Is 14 a factor of j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*t - 103*t - 13821 + 1989 = -33*t for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**37*((d*d**4\/d)\/d*d)\/d**(5\/6) assuming d is positive.\nAnswer: d**(-349\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247918 = -45*g + 348692. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 9 - 4*w - 4\/3*w**3 - 4*w**2. Factor m(g).\nAnswer: -4*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + 18\/4. Let d(t) = -t**3 + t**2. Let m(n) = -4*n**3 - 5*n**2 + 10*n + 9. Let o(z) = 3*d(z) - m(z). Let s be o(-9). Solve 2*v - 2 + y = s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20234\/59 or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -32. Let z(d) = -v*d + 31*d - 19*d. Let x(t) = -7*t. Determine z(x(a)).\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*k + 3*k + 5*t, -4*t + 2 = -2*k. Suppose -37*m - 21 = 3*f - 40*m, 3*f = -4*m + 14. Sort f, k, 3, -6 in increasing order.\nAnswer: -6, f, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 6*p - 10. Let b be v(-7). Let u(f) = f**2 + f + 2. What is the units digit of u(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from iwfweewdddwf?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 33164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 17878*h - 17876*h + 18, 0 = w - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812 less than 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:56 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -183, -369, -661, -1095, -1707?\nAnswer: -2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 3*y - y - 2*y**2)*(29*y**2 + 178 - 178)*(4*y + 0*y - 2*y).\nAnswer: -116*y**5 + 116*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and 236284?\nAnswer: 236284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 + 2*a - 1. Let j = -4 - -8. Is f(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110011 - -100011011100101111?\nAnswer: 100011010010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 348b83 (base 12) to base 8\nAnswer: 3162223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 2*j + 14. Suppose -j*o = o. Solve m - 1 = -o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*(-30)\/(-385)*11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 949, -23 in descending order.\nAnswer: 949, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/11 in 1, 31, 3, 0, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45\/4, 2\/11, 8\/35?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1101101?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -226 in 5, 2, 0.034, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o - 24. Let h be a(-14). Let y = h - 98. Suppose -28 = -4*t - 5*u, y*t + u - 10 = t. Solve 0 = 4*r - q - 17, -t*q + q - 2 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btbttb. Give prob of sequence tb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**4)\/(c**(-2)*c)*c\/(c\/(c*c**10))*c\/((c\/c**2)\/c) assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v + 14. Does 4 divide n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439, -2878, -9001, -20494, -39043, -66334, -104053?\nAnswer: -153886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i - 34. What is the highest common factor of i and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 3)*(1 + 1 + 0) + 34 - 35 + 49)*(-5*z**4 + z**4 + 2*z**4).\nAnswer: -104*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 12:17 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6596, -6608, -6618, -6626, -6632, -6636, -6638?\n\"Answer: l**2 - 15*l - 6582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1400, -11, 4 in increasing order.\nAnswer: -11, -1, 4, 1400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4007.2 + 4007. Sort -0.24, g, 5, -0.4, 0.5 in descending order.\nAnswer: 5, 0.5, g, -0.24, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 - 2*q**4 + 6*q**4)*(-57 - 72 + 224)*(-7*q + 3*q + 0*q).\nAnswer: -760*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 50. Let u be (-38)\/(-8) - (4 + (-68)\/o). Solve 4*y = 3*a + 8, a - y = 3 - u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44 and 17356?\nAnswer: -763664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z + 9. Let t be -2*8 + (-8 - -8). List the prime factors of b(t).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 26.086. Let q = -2228 + 2228.036. Let l = t + q. Round l to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3\/7*q**4 + 27\/7 + 18\/7*q - 24\/7*q**2 - 18\/7*q**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6130 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 620545603 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*i**3 + 11*f**2*r + 1451*f**2 - 91*i**3*r wrt r.\nAnswer: 11*f**2 - 91*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*j + 22 = 6*j, -5*j = 5*i - 30. Suppose -i*d - 132 = 68. Calculate the common denominator of (2\/(-18))\/((d\/534)\/(-10)) and -1\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-76)\/(-57)*(-3)\/(-4)*1. Suppose 0 = -4*k + a - c + 13, 5*k - 4*a - 15 = 0. What is the biggest value in 7, k, 1\/5, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 11*o + 144. Let z be r(-7). Let j = z - 142. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4142517.\nAnswer: 3, 41, 33679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7270646m in millimeters?\nAnswer: 727.0646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18198 + 18203. Let x(a) be the second derivative of -5\/6*a**3 + 0*a**2 + 0 - 3\/2*a**q + 2\/3*a**6 + 5\/3*a**4 - 12*a - 5\/42*a**7. What is i in x(i) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-5))\/(18\/(-260)). Let a be (-14 + 19 + (-18)\/4)\/((-2)\/136). Are a and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 8*u = 72. Let y be (u\/(-4))\/((-312)\/(-26)). Which is the third biggest value? (a) -0.01 (b) y (c) 0.2 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 253.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htyztcymtcttctyc. What is prob of sequence cy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82247491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12969 or 51871\/4?\nAnswer: 12969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 - 20*h**2 + 13*h**2)*((-4*h + 0*h + 6*h)*(6*h**2 + 2*h**2 + 0*h**2) + 3*h**3 - 2*h**2 + 2*h**2).\nAnswer: -228*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z**14\/z*z)\/z)\/z)**(-17) assuming z is positive.\nAnswer: z**(-221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7 - 186\/210)\/1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) -11221 (c) 0.1 (d) 1\/24 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**2 + 27*h**2 + 19*h**2 + 4*h to the form l*h + k + z*h**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, f: 3, w: 5}. Give prob of sequence lfwl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 5, -4, -3, 8.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6265136 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 178581\/2717 + 3\/11. Sort 3, q, -5.\nAnswer: -5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60108 + 30305 - 62879 = 4018*c + 60002 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*n**2 - 88*n**2 + 31*n**2)*(-1 + 0 - 1).\nAnswer: 284*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 bigger than -11726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*9\/1530*15*(-4)\/18.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 5*p - 5. Let d(w) = 2*w**3 - 6*w + 6. Let y(q) = -2*d(q) - 3*t(q). Let v = 20 + -26. Let n(i) = i - 1. What is v*n(z) - 2*y(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3752 divided by -56\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v + 40 + 44. Let u be (1\/v + (-19)\/(-76))\/(-2). Solve 4*w + 16 = f + f, -5*f = u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269569 minus 2?\nAnswer: 269567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25945985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -46 + (38 - (27 - 16))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7981\/20 - -1869\/5. Let q be 2\/(-6) + 8345\/195. Let s = q - 3469\/52. What is the common denominator of c and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/9)\/b**6*(b*b\/(b*((b**(-1\/9)*b)\/b)\/b))\/b**(-2\/5)*b*b**(-1)\/b*b*b\/b**(-4)*(b\/b**(-2\/7)*b)**35 assuming b is positive.\nAnswer: b**(407\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2b7e (base 15) to base 11\nAnswer: -7025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -441bc - -10?\nAnswer: -441ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d + 1)*(-d**3 + 15*d - 15*d)*(4 - 3 - 2)*(-d + 5*d - 3*d).\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {s: 7, b: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11778180.\nAnswer: 2, 3, 5, 196303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 23. Let f be x(3). Calculate the highest common factor of 100 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27*1\/(3*4\/12). What is the hundreds digit of (-33)\/(((-105)\/r)\/(-1) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + h - 3 = -4*h, 0 = h - 3. Sort j, -2, 1 in descending order.\nAnswer: j, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6250 and 500?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1231\/9 + -137. Let j(t) = -114*t + 233. Let q be j(2). Which is the biggest value? (a) -1 (b) i (c) q (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let a(u) be the second derivative of u**5\/20 - u**2\/2 + 2*u. Let o(t) be the first derivative of a(t). Determine o(b(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -180006494 from -17314.\nAnswer: 179989180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4131\/4 + -1055. Let f = 53 + 94. Calculate the common denominator of f\/(-20) + 5\/(-20) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, i: 3}. What is prob of sequence si?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 5*l + 2*x - 11, 0 = -l - x + 4. Let t = -12 + l. Let g be t\/((-28)\/12 + 2). Calculate the highest common divisor of g and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -274?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*u + 2*u. Let s be -4 - (u - (4 - 1)). Let i(y) = y**2 + 5*y + 2 - 3 + 2. Determine i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 49*1 - (-8 - (-1 + -6)). Suppose 3*i - 35 = -m, -5*m - 5 + z = 2*i. Solve 15*a = 13*a - i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541664218 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9184898*t**2\/5 + 766919696*t\/5 + 16009046048\/5.\nAnswer: 2*(2143*t + 89468)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -92.\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + u**3 + 4)*(u**2 + u**2 - 4*u**2) - u + 3*u**5 + u + (-u + u + u**4)*(2*u + 0 + 0).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2743.\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 - 1)*(y - 3*y - y)*(0 - y**2 + 0) + (5 - 16 - 8)*(14*y**2 - 14*y**2 - 4*y**3) to the form t*y + z*y**3 + v + b*y**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 3*d + 2*d. Let b(j) = -6 + 6 - 3*j**2. Calculate b(p(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77.274 and -5.\nAnswer: -386.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -11*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -442\/7*u - 152\/7*u**2 - 292\/7 - 2\/7*u**3.\nAnswer: -2*(u + 1)*(u + 2)*(u + 73)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-5)\/(-30)). Suppose -n*d + 2*c = -275, -5*d + 495 = 3*c + c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1188367 or -1188365?\nAnswer: -1188367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j - 9. Determine z(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10796940 divided by 599830\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50 - ((-5 - 63) + 67)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 32 = 8. What is the third biggest value in 3, -1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -14. Suppose 5*h - 9*h = -12. Suppose 28 = -4*a + 3*o + 6, a = -h*o - 13. What is the second smallest value in a, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*u - 216 = 0, -4*j + 303 = -4*u - 109. Calculate the remainder when j is divided by 64.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12804 and 5726820?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 27. Suppose 9*z - 6*z + 21 = 0. Let u be t(z). Let h = 27 - u. Calculate the highest common divisor of h and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)\/u)**(3\/5)\/(u**0*u\/u**(-1\/4)) assuming u is positive.\nAnswer: u**(-31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(684) + sqrt(684) - sqrt(684)))**2 - ((sqrt(133) - (-3*5*sqrt(133) - sqrt(133))) + sqrt(133))\/sqrt(7).\nAnswer: 30*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - (-17 - -2)) + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 696*w**3 + 2*w**2 + w + 1. Is b(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let v(p) = 2*p**2 + 3*p + 4. Suppose -g - 3 + 6 = -i, -33 = 3*g + 4*i. Calculate g*w(k) + v(k).\nAnswer: 2*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/8)*p\/(p\/(((p\/(p*p\/(p**(-1)*p)*p))\/p)\/p)*p)*(p*p**(2\/23))\/(((p*p**(-1\/2))\/p)\/p) assuming p is positive.\nAnswer: p**(-513\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -2. Let t be 15*-1*(-1)\/3. Let w = b + t. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.1 (c) 0.41 (d) -7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -553976 and 13.0207.\nAnswer: -553962.9793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114\/8*(-132)\/(-18)*14?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255001 by -150.\nAnswer: 255001\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n + 6*n + 21*n. Let c(i) = 161*i**2 + 150*i**2 - 309*i**2. What is p(c(x))?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 3. Let g be u(0). Let r(i) = -6*i - 4 + i**g - i**2 + 4*i**2 - 2. Determine r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**2 - 1\/120*b**6 + 2 + 1\/30*b**5 + 0*b + 1\/3*b**3 + 0*b**4. Calculate c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 8\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -743308 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101020 + -1021012?\nAnswer: -212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*l + 12962 = -709*l - 3646 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 2, r: 1, b: 1, l: 1, k: 1}. What is prob of sequence brl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 132*b**2 - 423*b**2 + 14*b + 136*b**2 + 141*b**2 - 4 + b**3 - 14. Determine z(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304125047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**4 + 28*u**3 + 101*u**2. Let k(w) = -2*w**4 - 28*w**3 - 100*w**2. Let t(z) = -2*j(z) - 3*k(z). Factor t(o).\nAnswer: 2*o**2*(o + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1404025 divided by 280805.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p - 6. Let r(b) = 28*b. Calculate r(y(s)).\nAnswer: 168*s - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 125. Suppose -y - 5*g + d = 0, -1 - 9 = -2*g. Let c be 169\/52 - 10\/40. Solve y = c*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 115101520?\nAnswer: 115101515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 371, 369, 365, 359, 351, 341?\n\"Answer: -g**2 + g + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33930 + 8498 = 845*s + 1608 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -47. Suppose -3*t - 10 = x, x - 4*t + f = -9*t. Suppose 0 = -x*y - 10. Sort -0.3, -4, y.\nAnswer: -4, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18394465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2255 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-14)\/(-598)) - 3. List the prime factors of 6 + b + 24\/4.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*c + 49, -820*c + 815*c - 31 = -1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-5)\/((-30)\/6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8725.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -44. Let d be (-60)\/(-25)*(18\/p - -5). Let m = 3 - 1. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((2\/(-3))\/(-2)). Let i = 5 - 5. Let u = 150 - 147. Solve -f*h - u = -i*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39.21 * -0.3\nAnswer: -11.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25546 is divided by 94.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2347 + 959 = 29*c. Calculate the remainder when 796 is divided by c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*r - 5*r - 32, -2*r - 49 = 3*b. Is 2*1 - b\/(105\/3248) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-4675))\/(23\/2346).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a**3 + 7*a**2 - 10*a - 12. Let m be j(-2). Are -84 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 21 = -0*p - 4*d, -16 = 4*d. Solve 5*t - 1 = p*n - 26, -t - 11 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/13)\/(7\/(-3))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b - 7. Give i(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -255.983 - -256. Which is bigger: 2\/11 or r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:27 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.94432072 or 2?\nAnswer: 1.94432072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -16*t - 5. Determine b(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*t**5 - 7380*t**4 + 157516*t**3 - 727452*t**2 - 892448*t = 0. Calculate t.\nAnswer: -1, 0, 8, 167\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14217 in -0.3, -15, 3, -0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2562080 - 2562080 - 67*m**3.\nAnswer: -67*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5931 = -198*w - 7902 + 3141 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-12)*-3 - 4124\/(-16). Let f be (a\/(-301))\/((-3)\/14). Solve -3*z - 5 = f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2240)\/(-50))\/(-4) - (-41 + 32)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35980062, 35980072, 35980082?\n\"Answer: 10*y + 35980052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37658, -150910, -339656, -603890, -943606, -1358798?\nAnswer: -1849460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1869\/17, -242, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -d6c (base 14) to base 10\nAnswer: -2644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1)*(-1)\/(-2). Let g(a) = 3*a**2 - a. Let y be g(x). Suppose -y = -o + 1. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72 - 100b64?\nAnswer: -100bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.0505, 2\/3, -2, -1\/132?\nAnswer: 0.0505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 + -117 - (2 - 10 - -32).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 6:57 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*b**2 + 4 + 1 - 22*b**2 + 42*b**2 to m*b + w*b**2 + i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 8 = 4*f. Suppose -2*w - w = -5*z - 535, 5*w + f*z = 840. Calculate the common denominator of (-518)\/w - 4\/(-10) and 1\/5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2. Let m(f) = 1271*f + 3420 - 1696 - 1724. Determine m(x(h)).\nAnswer: 6355*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2913, -0.4, -4, -0.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 17*q**2 - 28*q - 1. Let x be t(14). Let z = x - -1375. Round z to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 3*n - 23*n)*(-n + n - n**4).\nAnswer: 25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32611897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 a when three letters picked without replacement from {i: 6, k: 1, a: 2, s: 1, c: 5}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.2, 23.\nAnswer: 0.2, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -25090666 to the nearest one hundred thousand.\nAnswer: -25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -5 (c) 4\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 731537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/5439826 and -41\/3108472?\nAnswer: 21759304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3\/7 - 1866*p**2\/7 - 932*p\/7 = 0. Calculate p.\nAnswer: -466, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(2 + (-7)\/2). Let g be ((-30)\/(-20))\/(x\/(-40)). Suppose -g*m = -6*m. Which is smaller: -1\/9 or m?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 294 - 129. Let w = 406 - p. Let h = 240.9999887 - w. Round h to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1058075*x + 1091906 wrt x?\nAnswer: 1058075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 24*f + 97. Let q be j(-4). Suppose 0 = 8*g - q + 1. What is i in -6*i**2 - 8*i**5 - 2\/3*i - 62\/3*i**4 - 18*i**3 + g = 0?\nAnswer: -1, -1\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47 from -16.2304734.\nAnswer: 30.7695266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872708271172 + 872708271172 - 21*b**3.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26 + 2)\/((-10)\/(-105)). Let i = v - 154. Calculate the highest common divisor of 60 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3510\/91)\/(790\/1106)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2\/3*l - l**2 + 1\/3*l**3 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 13*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-522)\/135)\/(-58))\/((-10)\/75)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679606563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77248313*h**6 - 17*h**2 - 27*h + 569.\nAnswer: -9269797560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.081*-1.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 32. Let q be (-9)\/a - (-9)\/18. Solve 0*d - q*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 9270*i + 64645.\nAnswer: 5*(i - 1847)*(i - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 + -1 + -21 + 7 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768700499 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - l + 23 = 3*j, -5*l + 61 = -2*j. Let m be (1 - 0)*-1*(-18 - j). Solve -5*d = -2*n - m*n + 23, 0 = -5*d - 25 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + (-10 - -7 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -0*w - 2*w. Let d be 1\/(-2) - w\/6. What is the remainder when 11 is divided by 0 + -6*(-2)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/20 + 4)\/((-6)\/(-15)). Let v(n) = 2*n**3 - 2*n**2 - 2*n - 8. Let g be v(j). What is the greatest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 127 - 7. Let y be 3 - (t\/5 + -1). Suppose y = v + 3, v - 237 = -3*c + c. Calculate the greatest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147 + 352. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 49*h - 256 - 48 + h**2.\nAnswer: h**2 + 49*h - 301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 27. Let s = y - 19. Which is the nearest to 0.1? (a) -1\/6 (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0*v**2 - 1\/21*v**3 - 3\/70*v**5 - 3*v - 3\/35*v**6 + 5\/42*v**4 + 0. Let a(p) = 0. What is p?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, 5 in decreasing order.\nAnswer: 5, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.49 + -3.49. Let z = 1 - -3. Which is the smallest value? (a) -3 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2\/11, -168.24 in decreasing order.\nAnswer: 8, -2\/11, -168.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2706524 and 3020?\nAnswer: 13532620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-10)*180\/(-504).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + s**4 - s**4 + (0 + 1 + 1)*(-7*s**4 + 2*s**4 + 3*s**4))*(0*s + 8*s - 3*s).\nAnswer: -25*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 0*z**2 + 18 - 15 + 3*z**2. Calculate d(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -117974 and -4.\nAnswer: -117978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 63, 124, 199, 282, 367, 448, 519?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -251070?\nAnswer: 125535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1 - 9. Differentiate 13*b + 0*b + 11*b - y - 2*b with respect to b.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21.2337841 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.4 + 32.5. Suppose 4*h - 4 = -2*d - 6, -2*h = 5*d + 21. What is the nearest to q in -2\/3, h, 24, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 488*b - 18 = -485*b + 5, -b - 45 = 5*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**1\/v))\/v)\/(v**(-12)*v))\/(v**(-1\/3))**13 assuming v is positive.\nAnswer: v**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -k - 8, -20*b + 3*k = -28*b - 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1\/189 (b) 33.9 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125755?\nAnswer: 5, 7, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 12 = 4*f, 49*f = -4*g + 46*f - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8983 + 5.\nAnswer: -8978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 46\/7, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 less than 0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*m + 15. Let j = 1.6 - 1.8. Is j < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 2*w**2 + 0*w**4 + 101\/6*w**3 - 1\/6*w**6 - 1\/60*w**5 + 0 + w. What is the derivative of m(y) wrt y?\nAnswer: -60*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-625\nAnswer: -624.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 20*u**2 - 29*u + 62. What is the tens digit of o(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 0 + 5)**2 + -1.\nAnswer: 100*sqrt(19) + 1924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0.11, 4, 9, 1\/5, -63 in increasing order.\nAnswer: -63, -0.6, 0.11, 1\/5, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*s = -14, 5*c - 3*c = 4*s - 22. What is the remainder when 3 is divided by (-1 + -1 + 1)*c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 5 + 14 + -17?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0112173 - -56.9888577. Let a = 57 - w. What is a rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 72*f**2 - 32*f**2 + 89*f**2.\nAnswer: 129*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 1 - 2. Let r be (-1 + -1)*(-3)\/10. Suppose -2*d - 2*d = 0. Which is the nearest to d? (a) s (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3207458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34715 and 6095?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.88 - 4279084542.4\nAnswer: -4279084540.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*g - 1989 = -1154*g + 365*g + 372*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22022 - 10?\nAnswer: -22102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(4*sqrt(52)\/sqrt(4) + 0 + 1*(sqrt(156)\/(-1*sqrt(12)) + sqrt(13))))**2.\nAnswer: 10400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -238428 times 0.2?\nAnswer: -47685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 - 5*v + 1. Let i(o) = 2*o**2 + 3*o - 1. Let c(p) = 7*i(p) + 3*m(p). Suppose 4*s = -2*z + 12, 5*z + 4 = -2*s + 2. What is c(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, -8*p = -3*p + 5*c - 30. What is the tens digit of (-2 - -2) + 84 + p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 - -0.41. What is the third smallest value in 1\/2, k, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -2*w**3\/3 - 2. Let c(b) = -10*b - 35*b - 9*b + 49*b. Determine h(c(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 2*k**2 - 2*k**2 + (k**2 + 3*k**2 - 6*k**2)*(0*k + 0*k - 3*k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jeieisieeifsjieiiej. Give prob of sequence sjjs.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10516 and 60680188?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*c + 66, -5*x - 13 = 3*c - 145. Let a be 232\/6 - (-4)\/12. Suppose -3*d + a - 9 = 0. Calculate the remainder when c is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 14 + 6. Suppose -28*v + 295 = 31*v. Let j be 6\/v*(-25)\/h. Solve 3*b - 26 = -0*l - 4*l, -j*l + 13 = -b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1172 + 1.5172. Which is the closest to -2\/7? (a) l (b) 2\/9 (c) 1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, -143 in ascending order.\nAnswer: -143, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + t**2 - 7*t + 2. Let k be p(-5). Let h = -114 + k. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -13*u**2\/2 - u - 3. Let h = 8 + -2. Let z(n) = -27*n - 2. Let f(s) = h*z(s) - 13*j(s). Calculate f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 7*y + 47*y - 68 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -10, 2 in ascending order.\nAnswer: -10, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 443 + -114. Let x = z + -1317\/4. What is the biggest value in -0.4, -0.3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -158 + 238. Suppose -t + 5 = 2*y, t = -6*y + 3*y + q. Let -1\/6*d**y + 0 + 0*d + 0*d**2 = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -5365?\nAnswer: 5362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 81*x - 8. Suppose 0 = -4*f - 4*k + 60, f - 61 = -4*f + 2*k. Suppose -4*o + 11 = z, -o + 11*z = 6*z + f. What is the tens digit of l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -6*i. Let p = 69 + -67. Suppose p*m - 19 = 4*a + 1, -16 = -m + 4*a. Solve i = f, -f + 4 = -m*y - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13701 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 3*c - 44. What is the remainder when c is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1123 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t + 56. Calculate the remainder when (-16)\/(-6)*(332\/16 + 4) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + j**5 + 0*j + 4*j**5 - 2*j**5 - j**5 + (2*j - 2*j + 2*j)*(0*j**4 + j**4 + 0*j**4) + 2*j - 2*j + 3*j**5.\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -34*i + 63. Let v(n) = 67*n - 126. Let r(y) = -13*g(y) - 6*v(y). Calculate the remainder when r(19) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypnp when four letters picked without replacement from ypngaaaapapay.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -5*z**3\/6 + 62*z**2 - 26*z. What is the hundreds digit of l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -37*a**4\/2 - 421*a**3\/6 - 933*a**2. Differentiate p(n) wrt n.\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -28*k**2 + 4*k - 2. Let u be o(2). Let p = -74 - u. Calculate the remainder when 94 is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -2*k - 28, 3*k + 146 - 132 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2. Let v be 5 + -1 + -1 + g. Solve 2*p - 4*i = 14, p = -v*p - 4*i + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**6\/45 - i**4\/6 + i**3 - 2. Let g(c) be the third derivative of j(c). What is the remainder when g(-3) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 20*d + 2. Suppose 40 = 2*r + 4*y, -4*r + y + 63 = -8. Calculate the lowest common multiple of r and a(2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17bc (base 13) in base 2?\nAnswer: -110111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*a + a + 106, -5*b + 2*a = -145. Suppose 4*c = b + 21. Let y = c + -7. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 8*x + 45. Let v be n(9). Calculate the highest common factor of v and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2775 + 2775. Solve v = 26*l - 38*l - 48 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -16*r**3 + 4*r**2 - 2*r - 2. Let g be n(2). Suppose 0 - 111 = -37*z. Is 12\/(-8)*g\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/2)\/((-3)\/6). Suppose 2*w + 5*o + 20 = 0, 0 = -5*o - y - 13. Let a(i) = i**2 + 22. Calculate the smallest common multiple of 12 and a(w).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/60 + 186*g**2. Let f(r) = -34*r + 1. Determine h(f(u)).\nAnswer: 1156*u**2 - 68*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21347664 rounded to the nearest one hundred thousand?\nAnswer: 21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.94 + 30.06. Does h = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2580)\/(-9)*(4 + -1). What is u rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + 2.97. Let c be (-6)\/10 - (-422)\/(-30). Let r = -15 - c. What is the closest to -1\/4 in r, -2\/13, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25197*j**3 - j + 25220*j**3 + j.\nAnswer: 23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 576 - -110?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2\/4 + 1122795*x\/2 - 252133722405\/4 = 0 for x.\nAnswer: 224559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.4 + 7.353. Let t = -0.04484 - r. What is t rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -733*x**7\/210 + x**5\/30 - 289*x**3 - 89*x**2 - 5. Find the first derivative of w(n) wrt n.\nAnswer: -2932*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 8*v**4 + 6*v**3 - 3*v**3 - 3*v**3 + 2 as w*v + q + n*v**2 + i*v**4 + k*v**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a31 - 6?\nAnswer: 1a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 206 and 6?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/52144 and 41\/126?\nAnswer: 3285072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 10:26 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 7*h + 32. Determine r(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/85)\/((-6)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001648 rounded to six dps?\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860353 is divided by 77713.\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/30 - w**2. Let v(x) = -x**2 + 3*x + 3. Let o(c) = c + 1. Let g(q) = -3*o(q) + v(q). Give n(g(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1 - 0) + 122 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 264 = -7*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 287*g = -4*g - 2547 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1137.3 and -998\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 2\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 22 = 2*v + 15, -2*v + 23*i = 22*i + 2*i + 35 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(-4 + 2 + 3)*(0 - 4 + 0)*((5 + 2 - 2)*(13 - 13 - 17*d)*(0 - 2 + 1) - 1 + 2*d + 1) to j + p*d and give p.\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/104 - 223692\/(-78)?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 171363*w**2\/7 - 28680*w + 8400.\nAnswer: 3*(239*w - 140)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -18*l**3 + 3*l - 2. Let k be g(-3). Suppose -4*o = o - k. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304296188 divided by 5246486?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 7 - 1. What are the prime factors of ((-14)\/6)\/(2\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnnn when four letters picked without replacement from {z: 4, n: 5, r: 1, h: 6}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 3*h. Let f(i) = 46*i - 69*i + 30*i. Give y(f(w)).\nAnswer: 49*w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 = -25. Let u = o - 4. Let h be ((-6)\/u)\/(1\/25). Solve h = -0*p - 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.0302, 4\/5, 5, 3\/7 in increasing order.\nAnswer: -1, 0.0302, 3\/7, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295 and 172280.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -4*l + 3*l - 3, -47*w - 44*w - 22 = 4*l - 97*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59912 is divided by 3715?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52856, -105278, -157268, -208826, -259952?\n\"Answer: 216*u**2 - 53070*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 1. Let u(z) = 14*z - 1. Let n(s) = s**2 + s - 2. Let v(d) = 2*n(d) - u(d). Let h be v(6). Are h and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 2*b**2 + 25*b + 4. Suppose 2*k - 8 = 0, -234 = -4*w + 2*k - 82. Calculate the lowest common multiple of a(6) and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-3)\/((45\/(-4))\/(-15)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -70. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6236840880 to the nearest 1000000.\nAnswer: -6237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:11 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 2*w**2 + 3*w - 3. Let l = 710 - 713. Give p(l).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2196)\/22 - 3) + 3. Let z = -100 - b. Sort z, -11, -1 in increasing order.\nAnswer: -11, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 - -4 - (43 - 30)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -2, -10, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23700132 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11156623 a multiple of 2152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**3\/6 + 3*j**2 - j. Let w be -13*20\/3770 + 336\/(-174). Let l(f) = 5*f - 30. Determine w*l(b) - 11*m(b).\nAnswer: b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/74750140 and 46\/1040337?\nAnswer: 2018253780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73426 = 3*c - 2*d, 2*d - 71980 = -3*c + 1426. Calculate the greatest common factor of c and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19721, 19716, 19707, 19694, 19677, 19656?\n\"Answer: -2*i**2 + i + 19722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3244008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9000 and 2743000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3 - 5\/3*o**2 + 20\/3*o.\nAnswer: -5*(o - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -423100 - -3?\nAnswer: -423053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 2*n + 0*n)*(-2 + 2 - 2) + 2*n - 4 + 4 + 2*n - n - 2*n - 4*n - 20*n + 7*n + 2*n + 3 - 3 + (-2 + 4 - 3)*(-n - n + 0*n) - 4*n + 3*n + 0*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 - 2. Let p(r) = -2*r - 6604. What is x(p(n))?\nAnswer: 24*n**2 + 158496*n + 261676894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 4*s - 6. Let u be p(6). Let h(b) = -b**2 - b + 4. Let w be h(-2). Solve 0*o = w*o + u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -8. Let q = m - 15. What is the closest to q in -2\/3, -4, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/25)*v)\/(v*v*v\/v**20) assuming v is positive.\nAnswer: v**(473\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1764\/(-135))\/(-28))\/(-1*6\/(-15))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4500)\/(-675)*15\/(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/14 and 49\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 5*d**3\/6 + 5*d**2\/2 + d. Let t(n) = -n - 1. Let l(q) = -2*f(q) - 11*t(q). Let z be l(3). Solve -z*b - b + 5 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*w + 4*a = 20 - 80, a - 25 = -11*w + 8*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -253466 (base 7) to base 4\nAnswer: -23130230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -2*k**7\/105 - 109*k**6\/30 - 259*k**5 - 42439*k**4\/6 + 202612*k**3\/3 + 13*k**2 + 34*k. Factor x(a).\nAnswer: -4*(a - 2)*(a + 37)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1148 divided by 164?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.2, 0.3, 10, -11\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -836?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12275*f + 12263*f = -24. Let v(x) = x**2 + x + 1. Give v(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 241 + -235. Solve -2*n + b*n = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 3946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 2*i + 0*i + (-1 - 3*i + 1)*(1 - 1 - 1) + (-3*i + 3*i - i)*(8 - 14 + 15) to the form x + r*i and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y. Give g(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:10 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 29*p**2 + 5*p + 27. Is 27 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wki when three letters picked without replacement from {k: 4, l: 1, m: 1, w: 1, i: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i**2 + i + 12. Let w be z(5). Let c = -246 + w. Let h = c - -2290. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57520*m + 239376 wrt m.\nAnswer: 57520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 49806224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 20 = 5*h, -2*h + 0*h + 3*v = -8. Let n be 1 + (7 - 3) - 1. Find the second derivative of -3*j**h - j**4 - j - j**4 + j**n wrt j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p - 4. Let q(w) = 5. Calculate 2*j(c) + 3*q(c).\nAnswer: 2*c**2 - 2*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15*b**2 - 4402*b + 2022. What is j(293)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -118.8248 and -1445.4.\nAnswer: -1564.2248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32+-42\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/3 - (-1)\/3. Let t be (-8)\/20*-5*1. Suppose -15*g**t - 6*g**2 - 6*g**f + 5*g**2 - 14*g - 4 = 0. What is g?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 536 and 48?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504 and 773640?\nAnswer: 773640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139\/7835 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22054941 to the nearest integer?\nAnswer: 4696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/30 + 1\/(-5). Factor 4*h + k*h - h - 6*h + 3*h**2.\nAnswer: 3*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213108 (base 9) in base 13?\nAnswer: -45a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1012 and 4.\nAnswer: -0.4048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((13\/(-52))\/((-3)\/8)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1242696.819 and 21.\nAnswer: 1242717.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 + 22*p**2 + 15. Let g be i(11). Suppose -3*h - 2*h = g. Which is the fourth smallest value? (a) 0.5 (b) h (c) -0.4 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24249.51539 + -24251.8. Let c = j + -0.01585. Let x = c - -2.3. Round x to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -2\/3, -0.3 in descending order.\nAnswer: 38, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*q**2\/2 - 15*q\/2 - 1.\nAnswer: -(q + 2)*(7*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:43 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -90 and -10061091?\nAnswer: 10061001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158842 and 17021952.\nAnswer: 3694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.4 (c) 16.2 (d) 4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2380264.000004 - -2380257. Let a = w + 7. What is a rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33202, 66396, 99590, 132784, 165978, 199172?\nAnswer: 232366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 447*h**2 + 473498*h - 993. Give q(-500).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + 10*c**2)*(-23*c**2 + 5*c**3 + 23*c**2).\nAnswer: 50*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 37. Let t(l) = -l**2 + 7*l - 7. Let i be t(7). Let b = i + 15. What is the remainder when c is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209642 and 54427?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p**2 - 6*p - 5. Let n be d(-4). Suppose -612 = -m - 3*o - n, -3*m - 4*o + 1271 = 0. What are the prime factors of m?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2390259172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*sqrt(1225))\/sqrt(7))**2 - (1 + sqrt(35)\/(sqrt(5)*-5)*-4).\nAnswer: -4*sqrt(7)\/5 + 14174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/3, -2505, 6212?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j*j**10)))\/j**(-1\/2))\/(j**(3\/5))**46 assuming j is positive.\nAnswer: j**(-171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35011 is divided by 17011?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, 503, 3 in descending order.\nAnswer: 503, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 2:38 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -234, -273, -312?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c, 5*u + 5*c - 12 = c. Suppose u = -227*q + 224*q + 3090. What are the prime factors of q?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416960369 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 29*b**3 - 2*b**2 + 2. Determine l(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -37. Calculate the remainder when z is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggbbbugsgbbbsq. What is prob of sequence subg?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*j - 881 - 230 = 0, 4*j = -4*y + 4444. What are the prime factors of y?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 71*r**2 - 314691*r\/4 - 4342005\/2.\nAnswer: (r - 453)*(r + 27)*(r + 710)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqaqqqqrllq. Give prob of sequence alq.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2\/15))\/((k\/(((((k*k**2)\/k)\/k)\/k)\/k))\/k*k)*k**10*k**6 assuming k is positive.\nAnswer: k**(238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 20*u = -5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 109 = -3. Let s be ((-2)\/(-3))\/((-14)\/(-105)). Suppose 5*m - 14 = -z + 10, s*z - 98 = -3*m. Calculate the remainder when d is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -49\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6949554 = -131*p - 4188625 + 23919317. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/107044 and 39\/2042.\nAnswer: 109291924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77*i**3*o*y + 224*i**3*o + i**3 + 42*i*o + 351094*y wrt o?\nAnswer: -77*i**3*y + 224*i**3 + 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.514546 millennia?\nAnswer: 51.4546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-36))\/(1\/((-2)\/2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -9. Let j = q - -11. Let k be 3\/(((-45)\/j)\/(-5)). Solve 6 = k*z + z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*u**2 + 1 - 9 - 12*u**2 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 5 (c) -2 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1272 and 7655943?\nAnswer: 3246119832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - u + 6*u - u - 4*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 2*i + q, -2*q = -3*i - 3*q + 485. Does 28 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*s + 28, 0 = -5*s - 4*z + 253 - 243. Solve s*m + 72 = 24*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5911016 is divided by 1659.\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert a90 (base 12) to base 4.\nAnswer: 120030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48573.017 - -1\nAnswer: -48572.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-12)\/10)\/((-6)\/(-20)). Suppose f*i - 503451 = 2576549. Round i to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + 1*sqrt(228) - sqrt(228))*2)\/(sqrt(48)\/sqrt(4)*-3)*-3.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -3*n**3\/2 - 3212*n. Let j(y) = 176*y**2. Calculate c(j(p)).\nAnswer: -1584*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b - 2. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256444243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9931591*-1.5.\nAnswer: -14897386.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*p + 83*p - 4394 = 138*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 27007462*f\/3 - 27007456.\nAnswer: -2*(f - 13503728)*(f - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22768 = 2*t + 2*p - 0*p, 4*t + 3*p = 45530. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**3\/2 - 3*b**2 - 10*b. Let t be s(4). Suppose t*m - 24 = 30. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145\/2 - 73. Which is the third smallest value? (a) j (b) 3\/8 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3242*v - 1077*v - 1081*v - 1086*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6292*f + 125645 = -497263 for f.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7368 - -7418. What is the highest common factor of o and 5950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 11*r - 2. Sort 1, r, 50 in descending order.\nAnswer: 50, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*x - 53 + 1065 = -402 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -5*k + 92. Let b = 1 - -1. Solve 2*i = 2*v + 6, 14 = v + k*i + b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 16. Let k be v(0). Is k smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 + -102.239\nAnswer: -100.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.83 - 0.43. Let g = k + 0.6. Which is the nearest to -1? (a) g (b) 5\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -29. Solve -b*f = 4 - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + v**2 + 0*v**2 + 978*v**4 - 976*v**4 + 26*v**3 + 73*v**3 to the form t*v + w*v**2 + j + n*v**3 + d*v**4 and give n.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2720870 = 2720870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -0.37.\nAnswer: -0.0259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*q + 3 - 0, 4*q + 20 = 2*t. Let z be (-10)\/14*-2*1\/(-5). Which is the closest to 2? (a) t (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrz when three letters picked without replacement from rrrz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6)\/(315\/(-756))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16 = -3*q - 28, -5*p - 16 = 4*q. Suppose p = 14*o - 74 - 192. What is the remainder when 65 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160830 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 6. Let u be r(6). Suppose u = -5*g + 2*a + 5, -12 = -g - 4*a + 11. Determine l so that -1 - l**g + l**3 - 1 - l**3 + 3*l = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 160 (b) 8 (c) 5 (d) 0.5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*k + (-54 + 117 - 129 - 207)*(-15 + 15 + 7*k).\nAnswer: -1909*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 26\/4 + -6 + (-15)\/(-8)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355*d**5 - d**4 - 33*d**3 - 30940*d wrt d.\nAnswer: 7100*d**3 - 12*d**2 - 198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:33 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765239686.\nAnswer: 2, 163, 2347361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-8)*((-65)\/15 - -5). Which is the nearest to -2? (a) -1\/5 (b) 2\/13 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -577, -3187, -10263, -24037, -46741?\n\"Answer: -372*h**3 - h**2 - 3*h - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 0. Let f be 2\/6*6\/4. Which is the second smallest value? (a) l (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5 - 90*t**4 + 80*t**3 + 90*t**2 - 85*t = 0. What is t?\nAnswer: -1, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 90.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316 and 404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5, 4*m - 98 = 4*x + 174. Let l = m - -18. Calculate the greatest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5083749455?\nAnswer: 5, 23, 59, 61, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 679903.8nm in kilometers?\nAnswer: 0.0000006799038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -11572*x + 11557*x + 2 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*z**4 - 675*z**3 - z**2 - 71959*z + 1.\nAnswer: -456*z - 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(104)*1)\/sqrt(8) - (sqrt(13) - (sqrt(130) + sqrt(130)*-3)\/sqrt(10)))**2 + 6*(sqrt(13) + -2 + sqrt(832))**2.\nAnswer: -216*sqrt(13) + 6394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/3))**14\/((l**(1\/4)*l)\/(l**(6\/5)*l)) assuming l is positive.\nAnswer: l**(1177\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3067*g - 3054*g = -65. Let k(i) = i**3 + 4*i**2 - 7*i - 4. What is k(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51160 (base 8) to base 10.\nAnswer: 21104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 5*s**4\/4 + 2*s. Let z = -131 + 131. Suppose 6 = -6*q - z. Give n(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20354, 40376, 60388, 80390, 100382, 120364, 140336?\n\"Answer: -5*t**2 + 20037*t + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 44, -181, 5, -3, 1 in decreasing order.\nAnswer: 44, 5, 3, 1, -3, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*f + 3504 + 418, 5*z - f - 3921 = 0. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5300 and 61904.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 10*d - 3. Let j(g) = 2*g**2 - 21*g + 6. Let k(h) = -2*j(h) - 5*n(h). List the prime factors of k(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40490\/3 + 13499. Put -11, a, -5, 0.4 in increasing order.\nAnswer: -11, -5, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10088 and 2522.\nAnswer: 10088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from knbnkbkknnnkkknbbknn?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10aa (base 11) to base 5.\nAnswer: 21301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38 + 2\/7*i**2 + 264\/7*i.\nAnswer: 2*(i - 1)*(i + 133)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7))**(2\/5)*(z*z**12*z)\/((z\/(z**(-4\/5)\/z*z))\/z) assuming z is positive.\nAnswer: z**(464\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:37 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 411*v - 65355. Calculate a(160).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/(-3) + 4\/(-6). Suppose -5*z - 3*k + 20 = -8*k, 2*z - 12 = 4*k. Suppose z*x = 3*x - 5*x. Which is the smallest value? (a) x (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-10)\/100)\/(49\/21805))\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 232 - 702 + 238 + 232.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from uuuvnuvuvnunun.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeye when four letters picked without replacement from yyyeeeynenyyyyeye.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*b = 9, 3*m - 16 = b + 5. Let o = -96 + 195. Suppose -8*a + o + 45 = 0. Calculate the smallest common multiple of a and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*s - 3*f, -3*s - 5*f + 10*f = -24. Suppose -3*o = -o - 5*w - 58, -3*w - 6 = 0. Calculate the remainder when o is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 45*p**2 - 82*p - 170. Let q be t(43). Let a be (-10)\/9 - (-6)\/9. Sort q, -5\/3, a in increasing order.\nAnswer: -5\/3, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12339401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -237, 22, -3\/7, -10\/13 in ascending order.\nAnswer: -237, -10\/13, -3\/7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*k**6 + 4066052*k**4 - k**3 + 33688*k**2 + 8 wrt k?\nAnswer: 1080*k**3 + 97585248*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 747.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006303 rounded to 4 dps?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1168\/1460)\/(10\/5 - (-2552)\/(-1275)). Sort m, -2, -5, 12 in decreasing order.\nAnswer: 12, -2, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t)**(-18)\/(t*t*t\/((t\/(t*t**(-3\/5)\/t))\/t))**31 assuming t is positive.\nAnswer: t**(-552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 216 - 209. What is the greatest common divisor of w and 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o. Let c(k) = 9*k. Determine -4*c(y) - 11*d(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*l - l - 41*l - 1 - 1 to the form i + v*l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -1263\nAnswer: 1263.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h**2 + 6*h - 14. Let s(m) = 4*m**2 - 2*m + 5. Let t(p) = 4*a(p) + 11*s(p). What is t(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:51 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 5*y + 16. Let t be u(-8). Suppose 24*z = 8 + t. Factor 2\/7*r**z - 4\/7*r + 0 + 2\/7*r**3.\nAnswer: 2*r*(r - 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - 2. Let r = -28 - w. Suppose 0 = u - 3*h - 2 - 13, u + 3*h - 33 = 0. What is the remainder when u is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198125870*j + 173496884.\nAnswer: 198125870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2476407070 to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let c = 6 + -3. Suppose y = c*v - 7*v. Solve v = 2*w + 3 - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 - 7*s - 8. Let b(n) = -n**3 - 6*n**2 + 7*n + 7. Let v(p) = -7*b(p) - 6*f(p). Is v(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 divided by 58.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1602, -1304, -1380, -2016, -3398, -5712?\nAnswer: -9144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + ((-426)\/30 + 13)*(-2 + 12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -273*s - 5190. Give u(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1453*m**4 + 650*m**3 - 2712085*m**2 wrt m?\nAnswer: -34872*m + 3900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -3 + 0*l**2 - 42*l + 2*l**2 + 42*l. Let m(c) = 4*c**2. Let t(w) = w**2. Let b(o) = -m(o) + 2*t(o). What is b(n(q))?\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 994*k + 1806*k + 56000 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 399005551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**7\/1260 + g**6\/72 + g**5\/360 - 5*g**4\/72 + 1235*g**2. Factor m(p).\nAnswer: -p*(p - 10)*(p - 1)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 755221 - 540?\nAnswer: 754461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -12*a + 3. Let b(f) = -95*f + 25. Give -3*b(y) + 25*j(y).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865b6 (base 13) to base 16.\nAnswer: 3b3e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.448992cm in nanometers?\nAnswer: 64489920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15644712, -15644723, -15644748, -15644793, -15644864, -15644967?\nAnswer: -15645108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -841 - -844. Solve -o*u = -3*k + 30, 10*k - 6*k - 45 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.989588 grams?\nAnswer: 6989.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2310480 = -16*i - 20*i. What is the units digit of i\/100 - (-2)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4870*k + 37206?\nAnswer: 4870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 3*g**3 - g**3 + 3*g**3. Let w be j(3). Solve u = 2*p - 2, 3*p - 3*u - u + 2 = w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 18 = -r, r - 3*r = 3*f - 29. Let v(c) = c**2 - 4*c - 17. Let i be v(r). Suppose j + i*j + a = 2468, 3*j - 3*a = 1470. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 64 + 1 = 4*m, 15 = 4*m + 5*y. Let x(h) = h**3 + 33*h**2 + 2*h + 72. Let i be x(-33). Solve -5*l - m = 3*v, -l = -2*v - 5 - i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92142842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*g*r**3*s - 99*g*r**3 + 4*g*r*s - r**3*s + r**3 + 3*r**2 - 4052*r*s + 2*r + 2 wrt r.\nAnswer: -54*g*s - 594*g - 6*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 25 = -0*g + g, -a = 2*g + 5. Suppose -3*k - 75 = 2*k. Let d = a - k. Solve m = -m + d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -0.843894\nAnswer: -0.00843894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*z + 54 = -210*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6394951 is divided by 853.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5208, -10421, -15634, -20847, -26060?\n\"Answer: -5213*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - 80. Let n be -1 - ((-2)\/2)\/(-1). Is 26 a factor of d\/n - 27\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424\/(-3180)*5\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*p = -2*a + 106, 5*p = 2*a - 215. What is the remainder when a is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/48*8*(-117)\/39.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 1 h when three letters picked without replacement from zoiozgzhzgozbob?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*o + 85*o + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-36)\/160) + 1. Let x = k - -3. Suppose 5*f = 66 + x. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72360 and 72840?\nAnswer: 43922520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 - 24*z**2 + 12*z - 100. Let d(n) = n**3 - 6*n**2 + 3*n - 23. Let o(u) = 9*d(u) - 2*v(u). Suppose 3*i = 5 + 13. Is o(i) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 271 + 21 = -q + 17 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -282.657 to the nearest integer.\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**3 + 11*w**2 - 2*w - 10. Suppose 36 = 4*m - 2*x, -1 = 2*x + 3. Let j be z(m). Let g be (-2)\/(-6) - j\/30. Round g to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 4, 0.594?\nAnswer: 0.594","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.99688 nanograms in tonnes?\nAnswer: 0.00000000000006799688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -6, -2\/7, 2\/335 in ascending order.\nAnswer: -6, -2\/7, 2\/335, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a + 5. Let v be g(-11). Let o = 50 + v. Calculate the remainder when o is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -49?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*i + 3*i, i = 3*d - 11. Let p = -2 + d. Let m(l) = -l + 2. Let u be m(p). Sort u, -5, 3 in descending order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-15) + 26\/5. Suppose 5 = -0*c + w*c. Calculate the highest common factor of 11 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, 5, 3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 3*q**2 - q - 3. Suppose -55*y + 56*y - 2 = 0. What is x(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10130 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 264900 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476.9 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s + 123. Let z be f(8). Suppose t - 2*g - 4155 = 0, -z*t + 20749 = 2*t + 3*g. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11024 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 5, 1712 in decreasing order.\nAnswer: 1712, 5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 4*y**2 + 15*y - 16. What is s(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -834, -1641, -2448, -3255, -4062?\n\"Answer: -807*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7755)\/25 - 3\/(-15). Let p = a - -473. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 20 = -2*c, 0 = 4*c - 3*d - 33 - 9. Suppose c = 4*m - 11. Solve 4*p - 3 - 1 = 0, 4*n + m*p - 17 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112 - (-264 - -168)) + (-9 - -1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4505 + 4527. Is -0.36 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-1 - -2) + -2). Let a be m + 0 - 17\/5. What is the third biggest value in 5\/2, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286882366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251155 + -52?\nAnswer: 251103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 8*v**3 + 0*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 3*z + 1. Let l be i(2). Suppose 0 = 3*o + o + 208. Let t = -30 - o. Solve 2*v - t = k - l*v, 0 = -2*k + 3*v - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (183\/21 - 15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 14) in base 7?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -2, 5, 2702 in decreasing order.\nAnswer: 2702, 50, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 + 218224*w\/11.\nAnswer: -2*w*(w - 109112)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3 - 3. Let p(n) = 3 + 5*n + n**2 + 0 - o*n. Is p(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d**3 - d**2 - 8*d + 6. Let h(f) = 10*f**3 - f**2 - 9*f + 7. What is -6*h(q) + 7*u(q)?\nAnswer: 3*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -0.1 (c) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 + 4*o + 4. Let v(n) = n**2 - n - 1. Let x = 26 - 10. Suppose 4 = z + x. Let p(k) = z*v(k) - 3*y(k). Let d(u) = 2*u**2. Determine d(p(c)).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(539)*-6.\nAnswer: 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2815, -2770, -2695, -2590, -2455, -2290?\n\"Answer: 15*b**2 - 2830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 1487*g - 8995. What is w(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 4:28 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - ((-2 - -3) + 5 + (8 - 21))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 15*y**2\/2 - 28. Let f(u) = 4*u**2. What is h(f(m))?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/2 of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 354317947*v**4 - 1264*v**2 - 5867*v.\nAnswer: 8503630728*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000147618 rounded to seven dps?\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1719 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**2*z**3 - 3*q**2*z**2 + 22152*q**2*z + 2*q**2 + 302*q*z**3 + 3*q*z**2 - 190*q*z wrt q?\nAnswer: 4*z**3 - 6*z**2 + 44304*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 4:42 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*l + 68 = -0*h, 5*h - 166 = 4*l. Suppose -24 - h = -3*r. Suppose 0 = -r*p + 19*p - 199. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-4)))\/v)**(-1\/36)\/(v**(-4)*v*v*v*v**10*v) assuming v is positive.\nAnswer: v**(-355\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = 3*d - 5*z, 622 = 3*d - 5*z + 7*z. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4792 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**3 - 2*h**3 + 3*h**3 + (0*h**2 + 11*h**2 - 7*h**2)*(19*h + 15*h - 29*h) as r*h**2 + d*h + f*h**3 + s and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -2*k**7\/105 - 14*k**6\/15 - 26*k**5\/15 + 14*k**4\/3 + 18*k**3 - k**2 + 1265*k. Factor a(u).\nAnswer: -4*(u - 1)*(u + 1)**2*(u + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 6*p**2 - 10*p + 16. Let h be y(7). Let d = 4.69 - 2.69. What is the closest to d in 1\/2, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -4, -1\/2, -1, -0.56?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2136 (base 7) in base 13?\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o + 57 = 16*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4149072\nAnswer: -5\/4149072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22.5*4\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 10:53 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**5\/20 + 7*n**4\/12 + n**3 - 7*n**2\/2 + 427*n + 9. Let x be (1*7)\/(0 - -1). Give c(x).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.1635055 minutes to weeks.\nAnswer: 0.001107490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 - 28*t**2 + 39*t - 121. Calculate b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118105 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 15*g**2 + 5*g - 9. Let m be r(-7). Let v(y) = y**2 + 6*y + 4. Let a be v(-4). Let h = a - -9. What is the highest common factor of h and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -39517.\nAnswer: -39521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p**2 + 11*p. Let w(n) = n**2 - n. Let s(d) = -2*h(d) - 22*w(d). Suppose -577 = 6*j - 3241. Let t(c) = 223 + 21*c**2 + 221 - j. What is t(s(a))?\nAnswer: 84*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11561945 by -11561945.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 69 + 3. Let n = l - -11. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 12:16 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 5*c + 1. Let i be v(6). Let m = 59 - i. Solve -4*d + 250*d**4 + 4*d**5 - m*d**2 - 242*d**4 - 8*d**5 + 6 + 8*d**3 + 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 - -10011101001000?\nAnswer: 10011101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 566 and -0.03479.\nAnswer: -19.69114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236764?\nAnswer: 2, 11, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28121a (base 12) in base 3?\nAnswer: -1020211000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14877933 and 27.\nAnswer: 133901397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 320 - 302. Calculate the least common multiple of r and 210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5573.\nAnswer: 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -1 - (-50 + 63 - 37)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -53. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-50)*15\/9*(-375)\/3000.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let k(y) = 2*y**2 - 15. What is m(k(a))?\nAnswer: -4*a**4 + 60*a**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 138.6 and 3.\nAnswer: 141.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 58.4?\nAnswer: 60.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2963789 is divided by 1092.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 11}. What is prob of picking 1 v and 3 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 27 = 7*x. What is the remainder when x is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33777 + -24123. Suppose -1478 + t = 4*d. Suppose 4*p - a = -0*p - d, -p - 4*a - 494 = 0. Round p to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-413)\/(-70)*4 - 4\/(-10). Suppose -2*r + 170 = -h. Calculate the remainder when r is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-10)\/3704)*16\/(-544). Which is smaller: -53 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 4, -4.\nAnswer: -4, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/4)\/((-9)\/(-2))*-6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13118 - -3.50944.\nAnswer: 13121.50944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeije. Give prob of picking 2 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525 is divided by 503?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1595*m**5*w**3 + 28557*m**5 - 14*m*w**3 + 2*m*w**2 - 34*m + 2*w**3 - 1868 wrt m?\nAnswer: -31900*m**3*w**3 + 571140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 + -472\/3. Factor 1\/2 - z*d**2 - 11\/6*d.\nAnswer: -(d + 3)*(4*d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -0.16.\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17488 is divided by 5829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253 + 3*t**2 - 253 - 2*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2656614677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j*k**3 - j*k**2 + 4*j*k - 522*j - 2*k**3 - 90*k**2 wrt k.\nAnswer: 18*j*k - 2*j - 12*k - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6434 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179e9 (base 16) to base 13.\nAnswer: 3505c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 at least as big as -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 1. Let w(o) = -12*o + 24. Let u(c) = 15*n(c) - w(c). Determine u(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -25.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, and 1 b when three letters picked without replacement from suuubisuuuuususbsi?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*k + 5, -v + 21 - 7 = 3*k. Let d(y) = y - 4. What is the remainder when v is divided by d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 + 11137*u**2\/5 - 1828632*u + 362515140.\nAnswer: (u - 390)**2*(u + 11917)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, -73, -105, 24 in descending order.\nAnswer: 24, 14, 5, -73, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 8*o = h - 36, 12 = 3*h. Solve 4*d - 4*v = -8, 3*d + 3*v - 22 = -o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 8. Let d = n - 10. Let t = d - -24. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/5 - 11\/15. What is the nearest to 0 in 3, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t - 1275 = 5*k, -770 = -3*t - 2*k. Suppose 2*g = t - 22. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*z + 128*z + 258*z)*(-1 - 7 + 37).\nAnswer: 7076*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52557*s**3 - 10*s**2 + 2*s + 146.\nAnswer: -315342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009994 to six decimal places.\nAnswer: 0.000999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -350*a**3 - 8*a**2 - 5*a + 12. Let q be h(-4). Suppose 4*u = -4, 2*u + q + 398 = 5*n. Round n to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2576, 2567, 2536, 2471, 2360, 2191, 1952, 1631?\nAnswer: 1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 4*v + 7. Let g be w(-5). Let n(t) = t**3 - 7*t**2 + 5*t + 41. Let h be n(4). Solve 0 = -f - 0*j - 2*j - 14, g*f + h = -j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4520 (base 6) in base 5?\nAnswer: -13211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55515833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5406864 + 3814.48\nAnswer: 5410678.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3784?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 67.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k + 35. Let g be c(-4). Suppose -5*p + 155 = u, 4*u - 125 = g*u + p. Is 38 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 8*x**2 - 8*x - 7. Let b be t(7). Let d be 16\/6 + b\/21. Solve 4 = -d*k - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 1, c: 3, t: 1}. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1729658 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -12482*a**2. Let i(v) be the second derivative of -v**3\/6 + 2801*v. Calculate i(o(x)).\nAnswer: 12482*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 89 and 90 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6))\/((-7)\/(-3)). Let j be ((-72)\/588)\/((-3)\/7). Determine q so that -6\/7*q + j*q**2 + o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/9)\/9*(-10)\/(20\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -430, -1822, -4768, -9844?\nAnswer: -17626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 15*o - 12. Calculate g(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.8 + -15. Let i = -74 - -75.3. Let k = p - i. Which is the second smallest value? (a) 4 (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -305*z - 1081. Is 78 a factor of j(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -37. Let a = p + -20. Is -7 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1107 divided by 369\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:01 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f + 17*f + 30. Sort -1, 34\/3, f.\nAnswer: f, -1, 34\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 14 = 2*n, 2*o = -n + 3*n + 8. Let v = 0 - 2. Let l be v + (4*1)\/(-2). Put 3, n, l in descending order.\nAnswer: 3, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820133249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262541 is divided by 180.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 9 (b) 85 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/11)\/j*j\/(j*j**(-1)*j)*j**(-5)*j*j**(-9\/2) assuming j is positive.\nAnswer: j**(-201\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1065 and 439935?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haz when three letters picked without replacement from aflzlzzflfahfz?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 + 7848*n**2 + 3841584*n - 7714592 = 0 for n.\nAnswer: -982, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2. Let v(d) be the third derivative of -302*d**5\/15 - 542*d**2. What is m(v(o))?\nAnswer: -2918528*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + sqrt(1100)*1 + (sqrt(1100) - (sqrt(1100)*1 + -5)) + (sqrt(1100) + -5 + sqrt(1100) + 0 + sqrt(1100))*-3 + -5 + 2)*-1)**2.\nAnswer: -2720*sqrt(11) + 70689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3410 - -3415. Which is the smallest value? (a) -0.6 (b) 0.02 (c) -5\/3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Suppose i = 5*u - 2*u + 6. Let w be (2\/(-3))\/(2\/3). Put w, 3, u in increasing order.\nAnswer: u, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16332, -16328, -16310, -16272, -16208, -16112, -15978?\n\"Answer: r**3 + r**2 - 6*r - 16328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 16 = -4*d, -7*i + 12 = 347*d - 348*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/61, -4.5, 5, -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*j - 150*j + 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*r + 50840 = 133*r. Calculate the greatest common divisor of r and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:02 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-20) + (-39)\/(-4). Suppose 0 = 5*t - z - 5. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = -0*s, -m + 5*s + 29 = 0. Let w = 2 - -1. Let g = w + m. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12706, -12705, -12704, -12703?\nAnswer: -12702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.942 - -0.55. Let m = h + -0.008. Put m, 1\/5, -1\/4, -4 in descending order.\nAnswer: 1\/5, -1\/4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (1 + -2 + 0). Let z be (-5 - -1)*l\/4. Let w(q) = -q**3 - 8*q**2 - 7*q + 7. What are the prime factors of w(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 9*s**2 + 5*s + 9. Let t be x(-9). Let i = -23 - t. Let q = 12 - i. Sort 2, q, 6.\nAnswer: q, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9660329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 95. Calculate l(19).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.6 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggi when three letters picked without replacement from isgsssessssseeegiese?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x - 8*x. Let b be x\/2*(-2)\/3. Let p be (-7)\/b - (0 + -1). Solve 0 = -3*m + m + p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5965484 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let g(r) = 24*r + 20. Let x(w) = w**2 + 24*w + 20. Let z be x(-24). Give z*l(o) + g(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -10 + 5 + 9 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 7*t - 2. Let q be v(5). Suppose -q = -5*m + 3*f - 3, -3*m + 5*f - 13 = 0. Suppose p + 3*p = m. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*s + 10. Let y be ((-10)\/(-6))\/(s\/42). Solve 0*g + y = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-2*q - q**2 + 2*q) + (6 + 5 - 6)*(4*q**2 - 3*q**2 - 3*q**2) in the form l*q**2 + u + c*q and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/4519 - -9025\/58747. What is the nearest to 35 in 8, a, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 175 - 73. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b36a79 (base 15) in base 7?\nAnswer: -132324564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 1. Let b(h) = -17*h - 4. Let i(j) = -2*b(j) + 7*c(j). What is i(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -284234, -568466, -852698, -1136930, -1421162?\n\"Answer: -284232*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 12*n - 8. Let p be w(-6). Let s = p + 21. List the prime factors of 15*s\/12*4.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 1060, 2459, 4408?\nAnswer: 6907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -12. Let q = -7 + x. Let c(z) = -z**2 - 4*z + 7. Let k be c(-6). Sort k, -4, q in ascending order.\nAnswer: k, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*j - 92*j - 96*j - 99*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 - 5*m. Let f be i(-4). Let -28*s - 3*s**3 - 3*s**f + 28*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -172 - -159 - (-1142 - -1) is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5*q*(q*q**(-1\/3)\/q)\/q)\/q**(-30))\/((q**(-1\/5)\/q)\/(q*q\/(q\/(q*q**4\/q)))*q**38) assuming q is positive.\nAnswer: q**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y + 23*y - 6*y - 9*y - 1. Let p(f) = -f - 1. Calculate -6*p(k) + 2*r(k).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(6\/5))\/q**(3\/7))**43)**(-2\/45) assuming q is positive.\nAnswer: q**(-5332\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 = -3. Suppose -4*o = -28 + 8, 0 = 5*f + 2*o - 20. Solve -5*m + f + v = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0 = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1096 - 1095. Let x(f) = 23*f. What is x(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958 is divided by 1956.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**4\/12 - 43*g**3\/6 - 40*g**2. Let t be a(-24). Solve -5*d + 4 = -h - 0, -h - t*d + 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/10 - 50\/(-4). Suppose 0 = k*l - 8*l - 895. Let n = 657 - l. What is n rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2020165ng to milligrams.\nAnswer: 0.0000002020165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 106, 3, -49 in descending order.\nAnswer: 106, 4, 3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -17*c**3 - 8*c**2 - 13*c + 9. Let q(h) = h**2 + 5 - 4*h**3 - 3*h - 13*h**2 - 3 + 10*h**2. Let i = 32 + -23. Give i*q(j) - 2*w(j).\nAnswer: -2*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 29*q**2 - 172*q - 24. Let s be k(-8). Let v = 9 + -9. Put v, s, 9 in ascending order.\nAnswer: v, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.062 - -0.062. Let v = -13908.9 + 13908.6. Which is the nearest to -0.1? (a) v (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 + 834 = 3*n - 1967. What is the greatest common divisor of n and 768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1514 - -1008. Suppose 6*g - 1679 = 85. Let n = w - g. Round n to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 13 - 7 = 0. What are the prime factors of 30\/u - (-6)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516150611 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 2*o + 57 + 119.\nAnswer: -2*o + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, -0.5, -0.06.\nAnswer: -5, -0.5, -0.06, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.52262 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73039?\nAnswer: 73039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*10\/360)\/((-95)\/57).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2\/3 + 304*t - 34656 = 0.\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*t + 1 + 2, 4*t = -2*w + 20. Suppose -w*y + 8*y = 12. What is the third derivative of v**2 - 4*v**y + 5*v**3 + v**2 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 15)*(s + s + 0*s) - 30 + 30 + 8*s + (-15 + 0 + 6)*(0 + 0 + 2*s).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -39 (b) -1\/3 (c) -4 (d) 0 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 10*q + 4. Let u be n(-5). Suppose -164 + 452 = 8*s. Calculate the highest common factor of s and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -63*((-10)\/6 + (-36)\/(-18)). Let v be 33\/t + 1 - (-36)\/14. Which is the closest to 2? (a) v (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 25*r**3\/6 + r**2\/2 + 18*r. Differentiate t(o) with respect to o.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 20*n - 65. Let c be u(14). Let l(z) = 2*z + 5. Let a be l(6). Is a at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + c + 2. Let b be o(-1). Let w be b + 1*49*(6 + -5). Calculate the highest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -683 - -1031. Let s be (-2)\/(-4) - (2 - 1804\/(-8)). Let v = s + w. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -12. Which is the closest to -2? (a) -4 (b) k (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8066 = 4*s - 0*u, s - 2*u = 2029. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 3)*(-111*x - 2 + 191*x - 79*x - 54*x**2) to the form j + f*x**2 + q*x and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/10*100\/10. What is the highest common factor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3 + z + z)*(2*z**2 - 3*z**2 + 2*z**2 - 4 - 2*z**2 + 4 + 3*z**2 + z**2 - 2*z**2 + (z**2 + 0 + 0)*(2 + 2 - 2) + 11*z**2 + z**2 + 0*z**2).\nAnswer: 15*z**3 + 45*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 33, -9, 4.\nAnswer: -9, 1, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -0.07, 101, -6\/7, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 + 90*w**2 + 117*w + 31. Determine m(-17).\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3740\/(-238) - -16)*147\/(-3255)\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 14 = -2*o, -1 + 0 = -l + o. Let z = l + 27. Solve -3*m - 37 = -5*c - 5, -4*c + z = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3404 + 987. Is h 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 7:45 AM and 5:13 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 47 = 3*i, 17 = 5*i + 2*n - 38. Let v = -20 - 40. Let d = v + 64. What is the remainder when i is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45 + 1)*(-11)\/22. Let l(m) = m**3 + 22*m**2 - 23*m + 5. Let t be l(g). Solve 0 = -t*x - 5*o + 25, 0*o + o = -4*x + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207200565 divided by 69066855\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 680 and 240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/90)\/(825\/250).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37919913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*w + 3*d - 15, -5*d - 9 = -w. Let u be 27\/3 + (24 - 13) + -16. Solve 3*j + 19 = o, -w*o = -u*j - 5*o - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r - 1491. Let n(p) = -5*p - 497. Let t(m) = -g(m) + 3*n(m). Let s(j) = 3*j. Let w(l) = -3*l - 1. Let u(q) = -4*s(q) - 5*w(q). Determine t(u(y)).\nAnswer: -9*y - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -13*u**4 - u**3 - 24*u. Let h(l) = -l**3 + l**2 - l. Let t(o) = -h(o) + n(o). Find the third derivative of t(d) wrt d.\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1520000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = 2*f - 10, -f + 2 = -3*i. Solve -5*a = f*a - 52 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 4*h + 66 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b + 4*w, 0 = 5*b + 3*w - w - 57. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*y = 68*y - 25. Suppose -3*c + d - 10492 = -8*c, 0 = -4*c + y*d + 8411. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 39 + 14)*(1 - z - 1) in the form q*z + r and give q.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 17198040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 - 3*o**2 - o**2 - o**2 + 4*o**2 - o**2 - 1 + 1 + o**2 + (-2 - 1 + 1)*(4*o**2 - o**2 - 5*o**2) + 8*o**2 + 2 - 6*o**2 + 9*o**2 - o.\nAnswer: 19*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 44, 80, 118, 152, 176, 184?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 685135667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001110 (base 2) to base 16.\nAnswer: -18e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 0*i + 2*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = n + 3*n. Let k(h) = -2 + 3*h + h + h - n*h. Let d(x) = -13*x + 8. Determine 2*d(z) + 9*k(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33703, -2, -942 in ascending order.\nAnswer: -942, -2, 33703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20 = -4*i, -5*i + 13 = r - 12. Let q = 25 + -30. Let a be (-2)\/((0 + 1)\/(-2)). Sort q, i, a, -3 in increasing order.\nAnswer: q, -3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6968569897 + 1715850060024035\/246227. Let m = c + 2\/2179. Is 0 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o + 58778*d - 58781*d = -212, 3*o - 144 = -3*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -820493 times -0.1\nAnswer: 82049.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-9)*(-9)\/6*-1. What is the first derivative of 0*p**k + 6*p**2 + 3*p**3 + 14*p**2 + 49 wrt p?\nAnswer: 9*p**2 + 40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2981\/37324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) + 6\/27. Suppose c - 5 = -2*a, -c - a + 0*a + 5 = k. Let m = c + -1. Does m = 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 3 (c) -2\/160549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 204 + -114. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -85, -132, -179?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/((1208\/16)\/(-151))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10671948 divided by -7\nAnswer: -1524564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 580584 divided by 136?\nAnswer: 4269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331313100 (base 4) to base 15.\nAnswer: -a2b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2171262\nAnswer: -1\/1085631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4362858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Round -44710.58 to the nearest 10.\nAnswer: -44710","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -45.7011788 rounded to 1 dp?\nAnswer: -45.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-288)\/(-60) - 2\/(-10). Suppose -b*k + 220 = -k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1564 and 1594804?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 - 1900*i**2 + 3798*i - 5696\/3.\nAnswer: 2*(i - 2848)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -141748 (base 9) to base 2\nAnswer: -10101001001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20490 + 20444.962. Let y = -45 - b. What is y rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -a00?\nAnswer: -9b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46180340 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 8*s + 10. Let x be a(7). Let i(c) = 3 + c**3 - 4 - c**2 - x + 3 - 4*c. List the prime factors of i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - -4 - (-2 - 1). Let n(g) = 6*g - 3. Let c be n(p). Let l = c - -13. What is the remainder when l is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n**2 - 6*n - 16. Let v be b(-5). Let g = 148 + v. Calculate the greatest common factor of g and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 at least as big as -0.02591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 7:14 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.01, -3, 5, -16, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l**3 + 5*l**3 - l - 55*l**2 + 2 + 53*l**2 to z*l + a + f*l**3 + b*l**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 11*m - 11. Let y be l(13). Solve 0 = 6*b - 9*b - y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/7, -2\/7, 1, 1\/5, 8\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 17 = 7. Let x = -4 - w. Let n be (1 - x*-5) + 0. What is the highest common factor of 88 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 1\/6*o**3 - 1\/12*o**5 + 1\/2*o**2 - 1\/6*o**4 - 1\/120*o**6 + 0 + 2*o. Let g(z) be the first derivative of y(z). Give g(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 + 1. Let x(z) = 7*z**3 - 6*z - 15. Let y(d) = -6*r(d) - x(d). Let v be y(7). What is the units digit of (-45)\/(-6) - (-1)\/v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 5. Let v be ((-7)\/u)\/(6\/(-27)). Let x = 47\/24 - v. What is the nearest to 1 in -0.2, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:20 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9988 < 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 - 2*d + (-5*d + d - 2*d)*(14 - 29 + 13).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1233011 + 1?\nAnswer: 1233012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 292.32 and 58060836.\nAnswer: 58061128.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2833.\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*v - 168 = 49, -k + 4*v = 49. Let q = k - -98. Suppose q = c + 5. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -331*f - 66. Let x be i(-12). Round x to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75713\/6 + 40*(-14)\/672?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11348082 and 3147.\nAnswer: 3147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -25. Let y = -166 - -204.2. Let a = 38 - y. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1501, 3, 1 in descending order.\nAnswer: 1501, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/10)\/((-42)\/(-420)). Let w = 0.2 - -0.8. Let m = 97 - 487\/5. Which is the nearest to m? (a) 0 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-357) + (-16)\/(-136))\/((-154)\/(-98))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2571*s**2 - 2599*s**2 + 7839*s**2 - 2624*s**2.\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - 1.42. Let v = 98 + -93. Suppose 18*q + 67 = -v. Put q, 0.5, -2\/3, r in decreasing order.\nAnswer: 0.5, r, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 95 - 402 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 62 - 50 + 112.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-56))\/(-3*1\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-39) + (-300637)\/(-247). Suppose v = 3*a - 5*w - 24489, -25705 = -3*a + 4*w. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 28 - 35 + 114 - 8*y.\nAnswer: -8*y + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013084354 to 5 decimal places.\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4, 1069144.\nAnswer: -4, -1, 1, 1069144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.5996377 rounded to three dps?\nAnswer: -59.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4785\/10537 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 25311.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/12 + (-4)\/(-12). Solve -4*w - 10 = -2*g, 0*w + 2*g - f = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 - 1 = 2*h. Let x be (-8)\/h - 37\/13. List the prime factors of (-134)\/(-6) - 2\/x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 + 2 - 2)*(-1 - 6 + 1)*(2 - 5 + 4).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjojjjjjvrrrjrvrror. What is prob of sequence orjv?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 379 + -124. Calculate the lowest common multiple of 85 and z.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29780 - 29785. Let f = 3 + -3.1. Sort t, -3, f, -0.2 in descending order.\nAnswer: f, -0.2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1538206 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**3 - 13*f**2 - 4*f. Let b(s) = 3*s**3 - 6*s**2 - 2*s. Determine -6*a(z) + 13*b(z).\nAnswer: -3*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(60)\/(1*sqrt(5)))*5.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let d(m) = -88*m**2 - 8*m. Calculate -d(b) - 8*r(b).\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1606 (base 7) to base 9\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 136090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 7*l + 5. Let a be m(-7). Let b(v) = -5 - a*v**2 - 2 + 7. Let p(s) = -s**2. What is b(p(i))?\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*k**2 - 6*k + 78*k**2 + 2*k**3 - 7*k**3 + k**2 in the form y*k + c + v*k**2 + h*k**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -108, -113, -120, -129?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -166, -325, -526?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:06 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 53482, 53481, 53480, 53479, 53478?\n\"Answer: -m + 53483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.9 at most as big as -1\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103135 (base 8) to base 6.\nAnswer: 423125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.863244 years?\nAnswer: 0.007863244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/60*12\/56*26*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2360, 2144, 1794, 1244, 428, -720?\nAnswer: -2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 30 = -5*x. Let f be ((-20)\/30)\/(4\/(-66)). Is f smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-51)\/17 - ((-97)\/4 - -1) and 65\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1340337, 2680646, 4020955, 5361264?\nAnswer: 6701573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-2))\/((-6)\/8). Let d be -3*a\/6 - 0. Suppose 2*z - 5*f - 15 = -3*z, 2*z - f = 5. Solve z*p - 28 = -2*p + d*k, 2*p - 3*k - 16 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12614*o + 263807. What is r(21)?\nAnswer: -1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(22\/132)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 10. Suppose w*m - 14*m - 12 = 0. Suppose -j + 3 + 0 = 3*t, 0 = -j + 3. Solve t*u - 4*u - 10 = -2*a, 0 = -3*u + 3*a - m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 232da0 + 2?\nAnswer: 232da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/10 + (-8547)\/(-3885).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*(g**(-3\/2)*g)\/g)\/((g*g**7*g)\/(g*g**(-1)))*g*g**(-3)*g*g*g*g**(3\/4)*(g**1)**(-15\/4) assuming g is positive.\nAnswer: g**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*n + 426 = 0, -107 - 603 = -5*u + 4*n. Suppose u*g + 6 = 148*g. Solve 2*p + g = 4*i - 1, -4*p - 16 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 297 and 138.\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -80 (c) 0.5 (d) 5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2062592 - 5*40\/(-25). Round q to the nearest ten thousand.\nAnswer: 2060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10959*n + 78. Let c(t) = -707*t + 5. Calculate 78*c(m) - 5*i(m).\nAnswer: -351*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from jbfte.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - -10 - ((29 - -7) + -127).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000617130962 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1681 divide 142661427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91266 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215095 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -20. Let x = 12 + g. Suppose -5 = -p + 2*w, 12 = -4*p - 3*w - 12. What is the third biggest value in x, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 0 + 4\/7*w - 8\/7*w**3 - 2*w**2 = 0?\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165*v**6 - 2*v**5 + 3423*v**3 - 14047*v**2 + 3*v + 5 wrt v.\nAnswer: -19800*v**3 - 120*v**2 + 20538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -252 - 657318470603\nAnswer: -657318470855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let o(h) = 44450*h. Calculate b(o(t)).\nAnswer: -88900*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57396*o**2*y**4 + 2*o**2 - 2*o*y**2 - 2*o - 733*y**2 wrt y?\nAnswer: 1377504*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-42)\/9)*(290\/(-75) - -4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwklwlwlkllllklkwwlw. Give prob of sequence wwk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 66036654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 12) in base 14?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w*w**(-24))\/w)))\/((w**(-18)\/w)\/w) assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 1304*j**2 - 650*j**2 - 655*j**2 + 6 - j. Suppose -5*h = c + 210, 4*c - 9*c = 25. Let m = 41 + h. What is i(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-14))\/(-3*5\/60)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 10 = 2*a + 2*w, 2*w = -2*a. Let o = 2 - 2.1. Let l = 1 - 4. What is the closest to o in l, -3\/7, a?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 29145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*h + 510 + 95 = 0. Sort 3, 0, -1, 44, h in descending order.\nAnswer: 44, 3, 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26376668*m**4 + 274585479 wrt m?\nAnswer: 105506672*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 184899 + -184779. Let t be 2\/(-3) + (-634)\/(-6). Suppose 0 = -4*q - 5*c + t, 5*q - c - 3*c = 121. Calculate the remainder when a is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31855282759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 511\/6 (c) 151 (d) -2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -65.7. Put 5, a, 8, -2 in increasing order.\nAnswer: -2, a, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 + 8*s + 15. Let b be l(-5). What is the nearest to b in -2\/11, -1\/2, -3\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 4*f)*(-3*f**4 - 3*f**3 + 3*f**3) - 2 + 2 - f**5.\nAnswer: -13*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g - 6*g + 35*g + 171 - 173 - 17*g.\nAnswer: 58*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01900015 - -0.019. Round y to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -0.5 (b) 1\/28 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 less than or equal to 633\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 133 - (-1 + -16 - -20)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469940.\nAnswer: 2, 3, 5, 24499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(170)\/(sqrt(50)\/sqrt(5))*1.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352 divided by -16.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*6\/9 - -71 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.42 + -0.12. Let x = 939 - 4733\/5. Let o = 8 + x. Which is the third smallest value? (a) -0.2 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24359 = -w - 24340 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181883221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -832 + 916. Suppose -5*m + s = 16*m. What is d in -9\/7*d**m + 3\/7*d**5 + 0 + 0*d + 9\/7*d**3 - 3\/7*d**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5113592773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.7. Let i = -21 + 15. Let v be (8\/i)\/((-4)\/(-12)). Put v, 0.3, p in increasing order.\nAnswer: v, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 2a19067?\nAnswer: 2a19070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/36 - (83\/(-9) - 3). Let i be (-6)\/r*(-31 - 1). Let c = -14 - -29. Which is bigger: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*o - 425 = 360*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 50*c**2 - 2*c - 100. What is q(-50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b + 368 - 16. Let f(g) = -g**3 - 23*g**2 - 22*g. Let y be f(b). Are y and 6\/35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19441214 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.7 in -0.4, 11\/56, 28, -2?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24354, 48711, 73068, 97425, 121782?\n\"Answer: 24357*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129.4 + 115. Let t = 14 + x. Let h = -3 + 3.3. Which is the biggest value? (a) t (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1. Let f(g) = -g - 3. Let q(t) = -3*a(t) - f(t). Suppose 4*j = 8 + 12. Does 11 divide q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15059 - 9902. List the prime factors of l.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-451)\/(-55) - (-9)\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (14 - -40) - -11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000299758136 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6173 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + sqrt(144)*-2*1)\/((sqrt(8) - sqrt(512)*-3) + sqrt(8) + sqrt(8)).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 534 - 310. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1512)\/126)\/((-3)\/(-2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 j when four letters picked without replacement from {j: 5, x: 9}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1, -5 in ascending order.\nAnswer: -15, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**2 - 172*s - 78. Determine r(-18).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186541 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12254746*y**2 + 2*y - 16173145 wrt y?\nAnswer: 24509492*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a38 - -64?\nAnswer: -7984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4788 - 4788.0000022208. What is w rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21412 + 21412 + z**3 - 6*z + 6*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*v - 4, 2*h - 3*h = -4*v + 2. Let r be -28*(h\/4 - 2). Suppose 2*d = -0*d + r. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**5\/30 - 7*r**2\/2 - 3*r + 233. Let j(w) be the second derivative of q(w). Let p(g) = 20*g**2. Determine p(j(y)).\nAnswer: 80*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -730, -2596, -6242, -12262?\nAnswer: -21250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -364\/11*z + 16\/11 + 90\/11*z**2.\nAnswer: 2*(z - 4)*(45*z - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 11, q: 1}. What is prob of picking 1 q and 2 k?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2148 by 6.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -3*i**4\/32 + 2*i**3 - 87*i**2\/16 + 21*i\/4 + 15. Factor x(f).\nAnswer: -3*(f - 14)*(f - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 8*m**2 + 82*m + 73. What is the remainder when 281 is divided by y(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1375*g + 108608. Give u(-79).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 486 or 477?\nAnswer: 486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = 3*w - 192. Calculate the greatest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -422609 - -5?\nAnswer: -422604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 12*h**2 - h - 11. Let n be k(12). Let y = -9 - n. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 1:56 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 6, -2*g + 7*g - 2*w - 609 = 0. Let i be (-2)\/(-4) + g\/6. Is 20 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397799087 to the power of 1\/2, to the nearest integer?\nAnswer: 37387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2365 - -2519. Calculate the greatest common factor of 266 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 d when three letters picked without replacement from {m: 3, x: 1, b: 1, r: 3, d: 5, s: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1525378l?\nAnswer: 152.5378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -1\/3180 (c) 3\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1. Suppose 5*m - 35 = -5. Let z(p) = p**2 + p + 3. Let c(w) = m*o(w) + 3*z(w). Let j be c(-2). Solve -4*f + 11 = -j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 - 9*g + 22. Let c be q(2). Solve -3*a = 4*m - c + 14, 5*a = 4*m + 26 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117 or 1\/12?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2 + 1\/30*w**5 - 2\/9*w**4 + w + 5\/9*w**3 - 2\/3*w**2. Let v(j) be the first derivative of r(j). Factor v(i).\nAnswer: 2*(i - 2)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 639 = 12*x. Suppose -40*i + x*i + 32 = 0. What is the third biggest value in i, 4\/5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011364 divided by -17?\nAnswer: -2011364\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*i - 16888, 4*p - 12367 = 3*i + 4489. Find the second derivative of 4*j - 4211 - 4*j**2 + 14*j**2 + p - 5*j wrt j.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 5*g - g**3 - 2*g**2 + 0*g + 0*g to the form a + s*g + k*g**3 + x*g**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-24)\/8).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/18 and 201\/42 - (3 + -8 + 2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3468*y - 72 = -3450*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 - (21 - 18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(17) - (sqrt(17) + -2)) - sqrt(17) - (5 + sqrt(272)) - ((sqrt(102) - 1*sqrt(102))\/sqrt(6) - (sqrt(1377) + -2 + sqrt(1377)))) + 5)**2.\nAnswer: -104*sqrt(17) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.54566 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(243) - -2*-1*sqrt(243) - sqrt(243) - ((sqrt(243) - (-2 + sqrt(243) + sqrt(243) + 1)) + sqrt(243))))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1447*y = -1453*y + 9018. What are the prime factors of y?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2572468 and -5.\nAnswer: -12862340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose -3*y + 3*b + 48 = y, 4*b = 16. Suppose 0 = -4*u - w - 3*w + 28, y = -3*w. Calculate the least common multiple of t and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 20. Suppose -10*n + 6*n = -824. Suppose 1261 - n = o*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -129*c**2 + 5*c - 1168. Let s(d) = -130*d**2 + 4*d - 1171. Let m(n) = 5*s(n) - 4*y(n). What is the first derivative of m(z) wrt z?\nAnswer: -268*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-14) + (-5199)\/(-21). Suppose g = 4*y + 5*z - 202, -5*y - 2*z = -571. What is the highest common factor of y and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**2 - 25*f - 7. Let n be x(3). Solve 0 = -12*r + n*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8885212485 - 5.2.\nAnswer: -8885212490.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*r + 61 + 13 = 0, 0 = -3*i - 5*r - 75. Let t = -7 - i. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) 0 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-2\/19))*j)\/j)**(-16\/9)*(j*(j*j**14\/j)\/j*j)\/j*j*(j\/((j*j**(-3\/17))\/j))\/j assuming j is positive.\nAnswer: j**(43574\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2, -6, 387, 1762, -5 in decreasing order.\nAnswer: 1762, 387, 2, 0, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16700.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -58*n**3 - 10*n**2 - 10*n + 5. Let z(y) = 6*y**3 + y**2. Give -q(m) - 9*z(m).\nAnswer: 4*m**3 + m**2 + 10*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -78, -302, -792, -1650, -2978, -4878?\nAnswer: -7452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**9\/10584 + a**8\/2940 - a**6\/630 - a**5\/420 - a**3\/3 - 2*a**2. Let k(i) be the first derivative of y(i). Solve k(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-24) - (-171)\/(-456). Solve -2*f - 5*g + 14 = w, 0 = f - 93*g + 97*g - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4680*a**2 - 3953*a**2 - 7110*a**2 - 4*a + a.\nAnswer: -15743*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.20781 and -85202169.6.\nAnswer: -85202169.80781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.02 - 3.92. Let c = 5 + -11. Let l be (c\/16)\/(36\/(-16)). What is the nearest to w in -0.3, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2590 - 2589.5. Which is the fourth biggest value? (a) q (b) 17 (c) -1\/4 (d) -4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 1. Let d(w) = -6*w**2 + 2*w**3 - w**3 - 6 + 0*w**3 + 9*w. Let u(z) = -z**2 + 76*z - 538. Let n be u(8). Let q(m) = n*g(m) - d(m). Give q(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021201111002 + -12021?\nAnswer: -1021201200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 25, 30, 37, 46?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*q = -122, 314 = -3*d + 4*q - 5*q. Let t = d - -111. Let w(h) = h**2 - 4*h + 5. Let x be w(4). Solve 0*m = x*m + 20, t*n + 2*m = -33 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + s)*(4*s + s - 3*s)*(-3 + 3 - 1)*(29*s**2 + 13*s**2 + 25*s**2).\nAnswer: -134*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(4 - 0)*-1. Suppose d = 3*d - 5*w - s, -2*w = 4*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2243575 divided by 17\nAnswer: -131975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 2*k**2 + 0*k**2 + (-2 + k + 2)*(11*k - 6*k + 12*k)*(0 + 3 - 1).\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -45*l**2\/2 - 217*l - 23. Let g be n(-5). Solve 10*m - g*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 29*q + 45*q - 73*q - 397*q in the form r*q + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine fifths of a century?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 39.4.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcu when three letters picked without replacement from cffcucffucfff?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m - 3070*m**2 - 33*m**4 + 3070*m**2 + 14*m**3 to o*m**4 + x*m**3 + w + v*m + l*m**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/9*(0 + -3). Let c(v) = -32 + v + 11 + o. What is c(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 12513511?\nAnswer: 12513452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7685*m*p**3 + m*p - 1139*p**2 wrt p.\nAnswer: -46110*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213333 - 1220?\nAnswer: -221213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 3. Let p = -4 + -1. Sort 5, p, k in descending order.\nAnswer: 5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4414\/3 and 1472 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56039\/8 + -7014. What is the common denominator of x and -7\/54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 - 6) + (-44)\/16 + 0. Put t, 2\/3, -5, -0.5 in decreasing order.\nAnswer: 2\/3, t, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5\/2, 3\/8, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604 = -5*t + 3506. Suppose t*d - 5280 = 811*d. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68 or -602\/9?\nAnswer: -602\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 364359\/5 + -72871. Let z(a) = a + 9. Let l be z(-7). Determine b so that -v - 4\/5*b - 1\/5*b**l = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -214651 + 48*f**2 + 24*f**3 + 6*f**5 - 64*f + 214651 - 28*f**4.\nAnswer: 2*f*(f - 2)**3*(3*f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. What is the closest to o in -3, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 65. What is d(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-4) - -6) + (-78)\/24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -1301, -85, -1\/2, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*i**4 + 4*i**2 - 322*i wrt i?\nAnswer: -960*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 831.1904 centuries?\nAnswer: 997428.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19330?\nAnswer: 2, 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18997 is divided by 4715?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2 - 8. Let t be (-50)\/(-6) + a\/(-6). What are the prime factors of ((-18)\/t)\/((-6)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1643 in -1\/65, -2\/11, 0.5, 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 100 = -5*o - 366, -5*y - 4*o = -431. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18 + 4 + 68\/4. Suppose -r - 2*r + 12 = 0. Suppose -77 = -r*q + 3*c - 28, -2*q - 3*c + 47 = 0. Solve z*u + u = -q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -13*u. Let n(j) be the third derivative of -j**5\/60 - 6*j**2. Give p(n(o)).\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, h: 2, u: 1, m: 3, l: 7}. Give prob of sequence mun.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 109*v + 3594. Let r be y(-33). Suppose d - l + 10 = 0, 3*d = -0*d + 2*l - 30. Put 5, d, -4, r in decreasing order.\nAnswer: 5, r, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*p = -161*p + 136 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/594220 and -37\/2190.\nAnswer: 1782660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 68, 37, 8, -19, -44, -67, -88?\n\"Answer: b**2 - 34*b + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 39*u**2 - u + 3. Let i(s) = 2*s**2 + 9*s - 1. Calculate the remainder when i(-9) is divided by t(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -265690271664 and -0.157.\nAnswer: -265690271664.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 711 = -3*p - 239, 4*q + 5*p = -954. Let b = q - -241. What is the lowest common multiple of b and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 273 = 5*q - 2*q, -2*q = 3*g - 268. Suppose g*d - 86*d = 256. Is d greater than 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3335671.\nAnswer: 3335671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - 1) + 2 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*h - 8 + 51, -5*h = x - 7. Calculate the highest common factor of x and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 - -195. Is 42 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -505, -4 in descending order.\nAnswer: -2, -4, -6, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-8)*(-4)\/1. Suppose -s - 2 = 0, x*y + 5*s + 12 = y. Let m be (-44)\/(-55) - y\/(-10). Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8 - 4*f - 1 + 25*f**2 - 7*f**2 - 3. Let i be r(-5). Suppose 2*b + 82 - i = 0. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (88\/(-14) - -6) + 28256\/112. Calculate the highest common divisor of b and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3852699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y + 8. Let o(j) = j - 1 + 1. Let p(a) = a. Give y*p(g) + 5*o(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**2*a)\/a)\/(a\/((a**(-1)\/a)\/a)))**(-21)*(a\/(a**(-2\/7)\/a)*a)**(-6)*a\/((a*a\/(a\/a**(-2\/17)*a))\/a)*a**(-1\/4)\/a assuming a is positive.\nAnswer: a**(11021\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5*v + 82734*m**2*v - 18095*m - 13*v wrt m.\nAnswer: 20*m**3*v + 165468*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t = 220. Let a = 86 - 29. Let r = t + a. Solve -10 = 2*b - r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 43150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.26 - -20.96. Which is the nearest to 0? (a) -3\/7 (b) -47\/6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9)*((-32625)\/50)\/(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*m**4 - 34*m**3\/5 - 2*m**2 + 4*m\/5 = 0. What is m?\nAnswer: -2\/5, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3))**(-7)*(s\/(((s\/(s\/(s*s**9)))\/s*s)\/s))**(-50))**(1\/79) assuming s is positive.\nAnswer: s**(1186\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 15. Let w(g) = -7*g + 2. Is w(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*g = 36, -2*y + 470 = 5*g + 514 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/86 and (-2723)\/(-2842) - 2\/7?\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by 57.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-5)\/2 + 3). Let k be (-1 - 1)*(a - 0). Find the third derivative of 7*n**2 - 10*n**3 - k*n**2 + 0*n**2 wrt n.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -41*w - 172. Let v(h) = h + 27. Let y be v(-16). Let o(n) = 20*n + 87. Let t(l) = y*o(l) + 6*u(l). Is t(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*g = -3*q + 103*g - 15, 2*g = -3*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-12)\/(-16)) + -2. Suppose 0 = 3*h - k - 9, -3*h + 7 = -2*k - 2. Solve 2*f + m*c + 2 = 0, 6 = h*c + 21 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmpm when four letters picked without replacement from {c: 4, v: 3, p: 3, m: 10}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406 is divided by 706.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**6\/120 - 11*i**5\/60 - 7*i**4\/12 + 17*i**3\/6 + 5*i**2\/2 - 14*i + 3. Let j(k) be the first derivative of h(k). Give j(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 23.64. Let o = j - 1.54. Let f = 6.9 + o. What is the second smallest value in f, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eevneeeeeerneneverer. What is prob of picking 3 e?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzcscsessss. What is prob of picking 2 c, 1 e, and 1 s?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/20)\/(1\/(-4)). Suppose -b + 2 = -n. Suppose 3*d + s = -b*s + 21, 0 = -d - 4*s + 7. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44399810177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22476 + -22472. Put d, -4, 2675, 1, -1 in descending order.\nAnswer: 2675, d, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 671 + 2407a0?\nAnswer: 241251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 11) to base 9.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -2, 2, 5, 12, 0.\nAnswer: -44, -2, 0, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/20 and 81\/94201694?\nAnswer: 942016940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -193?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffwfffffffffffwf. What is prob of sequence wfw?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7574*p + 1812. What is the ten thousands digit of v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4010303.\nAnswer: 11, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.7, -11\/2, 0.03, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s. Let d(j) = -j. Calculate o(d(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 10530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 44953 times -400\nAnswer: -17981200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -34152632 = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(70\/(-18) + 4). Let g be ((-9)\/6)\/(z\/(-24)). Factor 2\/7*w**2 + 2\/7*w - g.\nAnswer: 2*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/(4\/(-16)). Let p(k) = 112 - 112 - k**b. Let x(s) be the second derivative of s**4\/12 + s. Give x(p(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 42956742.\nAnswer: -171826968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.08 or 0.03?\nAnswer: -6.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -5*v**6\/2 - 564*v**5\/5 - 1485*v**4\/4 - 407*v**3 - 84*v**2 + 3*v - 604. Let h(l) = 0. Calculate l.\nAnswer: -28, -1, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5)*5 + -2.\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030512 rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfmfjfjffgkfjj. Give prob of picking 2 j and 1 g.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 9*o - 4. Let w be i(3). Suppose -3 = -3*g + 2*g. Solve g*a = -5*t - w, a + 3*a + 30 = 5*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7551 + -7550.47. Put -6, 3, d in decreasing order.\nAnswer: 3, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 12 = -5*j, -v + 5*j - 2*j = 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(2\/7)*r*(r\/r**(-2\/27))\/r)\/(r**6\/r)**(-2\/43))**(-40) assuming r is positive.\nAnswer: r**(-982040\/8127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1321 divide 3206680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 133\/38 - 7542\/(-12). Suppose -3*n + 5*i + 551 = 0, 4*i - 360 = -2*n - 0*i. Suppose -5*z = n - h. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 + 2*h**2 - 1. Let y(z) = 17 + 3*z - 2*z**3 - 2*z - 8 + 3*z**3 - 10. What is k(v) - y(v)?\nAnswer: 2*v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 462340 to the nearest one thousand.\nAnswer: 462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2529 + -1974. Calculate the smallest common multiple of z and 20.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + y + 240 = 4*j, 4*j = 5*y + 171. Find the second derivative of -j*p**5 + 37*p**5 - p - p wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -l + 4*k, 0*k - 52 = 5*l + 3*k. Is 21 a factor of ((-6)\/l)\/((-5)\/(-140))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -227?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80645, 80642, 80639, 80636?\nAnswer: 80633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148908 is divided by 6203.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -139*k**2 + 1814*k - 32. Calculate h(13).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100112 + -1000?\nAnswer: -101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28\/17, -1, 2?\nAnswer: -28\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = -344. Let k = 114 + n. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)\/x)\/x*x\/((x\/((x*x*x**(-11))\/x))\/x)*x)\/(x\/(x\/x**(-9\/4))*x\/(x\/x**(-9)*x)) assuming x is positive.\nAnswer: x**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 1 m when three letters picked without replacement from heuummhhhhphuuuh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -104 from -19401.\nAnswer: -19297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -539, -809, -1079, -1349, -1619?\nAnswer: -1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/((-6)\/2) + -1. Let y(r) = -7*r**3 + 4*r**2 - 5*r - 2. Let w be y(s). Let p be (-4)\/22 - w\/77. Solve -3*k = t + p, k + 12 = -t + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Suppose -3*q + q = b. Suppose 3*l - 90 = -q*l. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -611 + 611.2. What is the closest to w in -0.3, -0.32, 4\/3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7744772\/3 or -2581590?\nAnswer: -2581590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y**(-2))\/(y**(-1\/2)\/y**(-1))*((y*y**(2\/5))**(-8))**(-11\/6) assuming y is positive.\nAnswer: y**(661\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76949 is divided by 64?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 - 79*l**2 + 17*l + 243. Give q(26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290423 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2347359213?\nAnswer: 3, 197, 3971843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w. Let g = -531187\/18 + 29518. What is the common denominator of g and ((-182)\/20)\/1 - w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4443011 (base 5) to base 8.\nAnswer: 230071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -603162016 by 18848813.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 1, a: 1, b: 3, o: 5}. What is prob of picking 1 o, 1 a, and 1 j?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4347.63 milligrams in grams?\nAnswer: 4.34763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4)*q\/(q\/(q*q*q**(-1))*q))\/(q**(-2))**(1\/34))\/((q**(-2\/13))**(-5\/13))**(-10) assuming q is positive.\nAnswer: q**(-6750\/2873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**9\/126 + d**5\/60 + 2*d**2 + 3. Let p(q) be the second derivative of r(q). What is the third derivative of p(m) wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2153 + -1.1153. Let c be 6\/12*(1 + 1). Suppose 4 = -q + c. What is the nearest to l in 0.03, 0.3, q?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 54. Let f be w(21). Find the second derivative of f*t + 74*t**3 - 74*t**3 - 11*t**5 wrt t.\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*330.5.\nAnswer: 33.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-75) - 1\/(-3). Let l be (2 - 3)\/(2\/38). Let c = l - -18. What is the smallest value in c, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:21 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 5*b**4\/14 - 2*b**3\/21 - 5*b**2\/7 + 2*b\/7 - 154. Let k(h) = 0. Calculate h.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 2*u + 13. Let w be p(-3). Solve 0 = -k - q + 4, 4*q - w = -0*k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 8*u + 12. Let c be j(5). Does 4 divide (-1 + 9\/c - -7) + 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (3 + 3 + -5)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3 = -2*d - 5*t, 20 = 4*t. Let p be (-68)\/d + 2 - 20\/110. Find q such that 10*q**3 - 73*q**2 - 6 + 47*q**2 + 14 + p*q = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -7*m**3 - 2*m**2 - 176*m - 127. Find the first derivative of f(o) wrt o.\nAnswer: -42*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/11*10\/(-350).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 c, and 1 f when four letters picked without replacement from lcmnlef.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/3 + -17 + (47 - 36)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v + 3*v - v)*(1 + 1 - 1)*(0 + v + 0).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10722*b - 11352 = -10458*b for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3 + 1097*d**2*n**2 - d**2*n + 22*d*n**2 + 62*d wrt d.\nAnswer: 6*d + 2194*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8941711, 17883422, 26825133, 35766844?\nAnswer: 44708555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1275 = 3*i, -3*i - 1701 = -4*k - 0*k. Is (4 - k)*1\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 3150 = 41*l. Let x = 527 - l. Factor -1\/9*j**x + 0 - 1\/9*j**3 + 2\/9*j.\nAnswer: -j*(j - 1)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559476 to the power of 1\/2, to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1134 by 7.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times -2074?\nAnswer: -2488.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(1\/(-4)). Let j = s - 0. Suppose 2*u - 4*z = 36, -2*u - 1 = -4*u - 3*z. What is the highest common divisor of j and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7183471 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: What is the thousands digit of 157915?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -281*h**2 - 282*h**2 - 2*h - 280*h**2 + 2 - 8*h**4 + 841*h**2 - 15*h**3 in the form r*h**3 + b*h**2 + j + d*h + k*h**4 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 5*k**4\/12 - 4*k. Let h(u) = -1. Let w be (2\/6)\/(6\/18). Let l(p) = -2*p + 6. Let b(x) = w*l(x) + 6*h(x). Give b(g(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8578387645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 minus 11065060?\nAnswer: -11065061.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -8. Suppose 5*p + f + 4 = 0. Is p > -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 487 = -55. Let s be ((-6)\/(-7))\/(u\/84). Solve -3\/2*g**2 - s*g + 3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -9*p. Suppose p = 5*d - 12 + 37. Let h = 7 + d. Solve 0 = -3*x - j + h, -2*x + 7 = 2*j + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -17 - -5 - 17) + (30 + 8 - -5).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from jfxwy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 - 0.1. Let r(m) be the first derivative of m**2 - 9*m + 23. Let a be r(-8). Sort 1\/3, a, n in descending order.\nAnswer: 1\/3, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.466 and 3308.125.\nAnswer: 3307.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 19*n**2. Let i(a) = -143 + 708 - 509 + 3*a. Calculate i(s(l)).\nAnswer: 57*l**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.857 - -0.243. Round f to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 116.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 211 + 255 = 0. Let f(k) = -k**3 + 10*k**2 + 14*k + 27. Suppose 5*m - 97 = -12. What is the remainder when f(r) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3668)\/(20\/12692). Let j = t + -21\/131. What is the common denominator of j and 12\/25?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51880 + 51880 - 2*n + 2*n - 119*n**2.\nAnswer: -119*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: a0b780 (base 14) to base 10\nAnswer: 5409908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 382 + 315. What are the prime factors of u?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*f + 2325. What are the prime factors of f?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2987 divided by 6.\nAnswer: 2987\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/21*4158\/90.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9562374 a multiple of 881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -274336 divided by 4?\nAnswer: -68584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:27 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209918.\nAnswer: 2, 104959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00068 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1228 + -115429\/94. Let j = -233\/1410 + x. Which is the nearest to -1\/7? (a) 5 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*d - 78 - 801, 3*w + 4*d - 893 = 0. What is the highest common factor of w and 1239?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.412427468 rounded to three dps?\nAnswer: 1.412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 842 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88598153 is divided by 1118.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -0.048 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2665 + 836. Let f = b - 829. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41\/4 (b) 22 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18144 and 3339?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 7198*g - 40 = -7195*g, 8*g = -4*f - 100 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/25376137 and 23\/17677.\nAnswer: 279137507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 - (-6)\/4. Suppose -q + x = -16. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10445 - -39447. Suppose -3*u - r = -37*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-10 - -4)*4\/(-8). Suppose 2*s = 4*i + 48, -3*s - 3*i + 7*i + 80 = o. What is the remainder when s is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 42. Let b be n(22). Calculate the greatest common divisor of b and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2856126 or -2856124?\nAnswer: -2856126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 6:20 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 divided by 136?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**3\/3 + 9*f**2\/2 - 8*f - 1. Calculate the remainder when w(6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50.5 + 51. What is the third biggest value in a, 0.3, 2, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -69, -86, -111, -144, -185, -234?\n\"Answer: -4*f**2 - 5*f - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63 - -144 - -26) + -54.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7))**(-6\/7)\/(b**(-1\/2)*b)**(1\/30) assuming b is positive.\nAnswer: b**(-769\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*m**3 + 31*m**3 + 22*m**3 - m - 7 as b*m + w*m**2 + l*m**3 + s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o - 1. Let f = -3505 + 3508. Let w(g) = 11*g**2 + 3*g - 3. Determine f*p(k) - w(k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -103, -158, -213, -268, -323?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 31*n**2 - 62*n - 538. Calculate q(-30).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 22438036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**4\/24 - 5*x**3\/6 + 3*x**2. Let f = -52 - -46. What is c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 85 = -5*d, -4*d + 13 + 10 = 5*u. Suppose 15 = -5*p, -9 = -2*c + 5*p + 10. Solve 3*v - d = c*l, 0*v - 2*v + 2*l = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 1:37 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:42 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-146150)\/15)\/10 - -2)*-15?\nAnswer: 5, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -26510389.\nAnswer: -10604155.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 832504.\nAnswer: 2497512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 4361*j\/4 + 5445.\nAnswer: (j - 4356)*(j - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 - -98 - (-10 + 6 - (-5 - 0) - 7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 54. Which is the third biggest value? (a) 8\/9 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1205261 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + z - 8 = -9*l - 7*z + 11*z, -3*l + z - 4 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(187))\/sqrt(11) - 5*(sqrt(1088) + -1)) + (sqrt(136)\/(sqrt(32)\/sqrt(4))*2 - (1*sqrt(833)*5)**2).\nAnswer: -20820 - 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 7*t**6\/2 - 468*t**5\/5 + 3345*t**4\/4 - 2210*t**3 - 3888*t**2 + 2688*t + 10332. Solve u(f) = 0.\nAnswer: -1, 2\/7, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 12:24 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -79 - (-1 - -13)) + -15.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:53 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 38 = -57 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:23 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19332996971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 take away 3792?\nAnswer: -3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 12 = 4*b, 4*l - b = 206800004. Round l to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*a**2 + 1077*a**2 - 276*a**2.\nAnswer: 1020*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 - -1.01. Let t = j - -0.19. Is 0.1 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*3\/(-15))\/(1524\/4445).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -323256649, -646513297, -969769945, -1293026593, -1616283241?\n\"Answer: -323256648*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1, -5 in descending order.\nAnswer: 17, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -1146\nAnswer: -11460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -5 (b) -4 (c) 2 (d) -157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -100*z - 2700. What is g(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 27*y + 19866.\nAnswer: -3*(y - 86)*(y + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4557*v - 9318024 + 9318024 + 2483*v.\nAnswer: 7040*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**9*x)\/x*x)\/x)**(7\/4)\/((x*x\/x**2)\/x**(-1\/2)))**(9\/8) assuming x is positive.\nAnswer: x**(153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(480)\/sqrt(3) - sqrt(10))*5)\/((-1*sqrt(30))\/sqrt(6) + sqrt(200)\/sqrt(10)).\nAnswer: -3 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u - 5 + 17*u + 0*u + 5*u wrt u?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1610*a - 9406. What is y(-6)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14402 + -14240. Let s = 310 - 174. Suppose h - v = -s. What is the highest common factor of h and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 100?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(175)*-3 - sqrt(175)) + -4 + ((sqrt(21) - sqrt(63)\/sqrt(3))\/sqrt(3) + sqrt(112)*-1)*-4)**2.\nAnswer: 32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from lblllblbblbllllbllb?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0773 and 20?\nAnswer: 19.9227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 2*o**2 + 2*o**2)*(-2 + 0 + 4) + o**2 + 3*o**2 - 5*o**2 + (-o - 6*o - o)*(-3*o + 0*o - o) + 3 - 2*o**2 - 3.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-20))\/((-1)\/30). Suppose -3*g - n = -21, -2*n = -2*g + 5*g - j. Let b be 24\/16 + 9\/2. What is the highest common factor of g and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {j: 9, d: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 6101094*u - 46529184996045.\nAnswer: -(u + 15252735)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 6. Let j = y + 4. Suppose 52 = 2*b - j*b. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 452131 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -10, 9, 46, 107, 198, 325, 494?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + 1)*-3.\nAnswer: -3*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) - (-264)\/56. Suppose 4*w - n*v - 335 = 0, v + 3*v + 92 = w. What is the highest common divisor of 32 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111413 + -1020?\nAnswer: -112433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16726 + 17326. Calculate the greatest common factor of 375 and i.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 12*u - 125 + 125.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 5:30 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1185 and 3411062.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/20*30\/(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000238 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/84312 and -179\/23280.\nAnswer: 81782640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**4 + 1414*q**3 + 27*q + 7117410.\nAnswer: 20*q**3 + 4242*q**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - 18. Let b be t(-7). Suppose 78 = a - 5*q + 23, 2*a + b*q = 84. What is the highest common divisor of a and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -71*z**5\/20 - 19*z**4\/4 + z - 15. Find the third derivative of d(q) wrt q.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 4. Let z be d(-3). Let p be z\/(-3) + (-2324)\/(-6981). Let i = -53533\/27924 - p. Calculate the common denominator of i and -143\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**3 - 4*z + 3 + 0*z**2 + 1\/4*z**4. Factor m(j).\nAnswer: (j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -39\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -45.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -z + 431 - 336, -2*z = -4. Calculate the remainder when 508 is divided by w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1757 + 5528. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -154 and -0.01?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 10*z**2 + z - 13. Let v be c(10). Let b be (-66)\/(v\/(-12) - 0). What is the tens digit of b\/(-16) - 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13219468?\nAnswer: 2, 1063, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24840319?\nAnswer: 7, 1289, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 541874304 by -387.\nAnswer: -1400192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r**5 + 279*r**4 - 2688*r**3 + 3636*r**2 + 624*r = 0.\nAnswer: -13, -2\/13, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/35, 1, 1\/2, 0.03?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 360 + 270 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 4, 5, 1040, -5, 0, 10.\nAnswer: -30, -5, 0, 4, 5, 10, 1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11246 + 11249. Let o(i) = -i**3 - 4*i**2 + 4*i - 5. Let w be o(-5). Put w, t, -162, 2 in descending order.\nAnswer: t, 2, w, -162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) 5 (c) 2\/7 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 144?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**4 - 20*f**3 + 177*f**2.\nAnswer: 72*f - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Let i(t) = -t - 6. Let p be i(5). Is (-1 - p)\/(n + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:04 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -7. Suppose 3*i - f*i + 15 = 0. Suppose i*x = 13 - 1. What is the highest common factor of x and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 280 = d, -34*t + 5*d - 256 = -38*t. What is the remainder when t is divided by (-6)\/(3\/12 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6174)\/156 + 13412\/12454?\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6682329560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*q + 22 - 18, -5*q = -4*i + 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670962097 less than -1597?\nAnswer: -670963694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-15) + -1 + 7\/((-1925)\/(-415)). Let v(p) be the first derivative of -26\/33*p**3 - j*p**4 + 0*p - 2\/11*p**2 - 14. Let v(i) = 0. What is i?\nAnswer: -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + a + 2*a + 4*a - 2*a + 0*a + (a - 2*a + 0*a)*(1 - 2 - 1) - 1 + 1 - 3*a + (-2*a - a + 4*a)*(-1 + 0 - 1).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1027129*r**3 - 43*r**2 - 20*r + 2515698?\nAnswer: -6162774*r - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/84 + (-42)\/28?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.459 rounded to zero decimal places?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0778742 millennia to years.\nAnswer: 77.8742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, 0.056, 1\/6, 22 in decreasing order.\nAnswer: 22, 10, 1\/6, 0.056, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 29 + 38*d + d to q*d + g and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -9. Let j = c - -19. Let b be (-99)\/j*(-40)\/6. Calculate the greatest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 12*p - 11. Let x be i(13). Suppose 4*q - 26 = 4*t - x, t = 0. Calculate the common denominator of q\/4*160\/105 and -65\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 8*o + 56 = 0. Let c = -4 + 9. Suppose 0 = o*k - c*k - 10. What is the remainder when 9 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 2*(4 + -3). Let o(z) = 0*z + 5*z + d*z - 3*z. Let f(l) = -43*l**2. Calculate o(f(u)).\nAnswer: -86*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 112824 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2. Let r(t) = -1517*t - 2. Give r(o(h)).\nAnswer: 4551*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 314388561 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 18768 = -5*s + 7*s, z - 4683 = 4*s. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6462790298 to the power of 1\/2, to the nearest integer?\nAnswer: 80391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 2. Let a be l(2). Suppose 0 = o - a*o + 10. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 24 = -0*c. Suppose c = 2*v + v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 407 = -q - 5*g, 0 = -2*g + 10. Let x = 163 - q. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*a - 4*x - 41576, 2*x = a - 10399. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*h - 470*h**3 - 72*h + h**2 - 81*h.\nAnswer: -470*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*f + 7935*f + 398*f + 1523*f + (3*f + 0*f - f)*(5 - 4 - 3) as d*f + g and give d.\nAnswer: 9790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.83999623 + 7.84. Round u to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**4 + 0*c**4 + c**4)*(3*c + c - 6*c + (1 + 0 + 0)*(c + c + 0*c) + 0*c + c - 4*c).\nAnswer: -18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u + 655. Let c(w) = -7*w + 649. What is -5*c(v) + 4*o(v)?\nAnswer: -5*v - 625","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*n = 9165 + 11133 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10494 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 10*i + 2*f - 854, -5*i + 3*f = -2095. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(154\/35))\/((-20)\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 13*l**2 + 13*l + 16. Let b be x(-12). Let f(t) be the third derivative of 0*t + 0*t**3 + 1\/12*t**b + t**2 + 0. Let j(n) = 3*n. Give f(j(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 815 and 2282?\nAnswer: 11410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Suppose -2*a + 14 = 3*y, -p*y - 2 = -0*y - 2*a. Suppose -3*f + y*f = -17. Are 18 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747 + -0.07?\nAnswer: 746.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/4 + h**4\/12 - h**3\/6 + h**2\/2 + h. Let x be f(1). Let p be (-3)\/3*(-2)\/7. Sort x, p, 5 in descending order.\nAnswer: 5, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1414343 (base 5) to base 11.\nAnswer: 20060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 10*s + 44 - 44.\nAnswer: 5*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101110000010010000110 (base 2) to base 3\nAnswer: -101201201202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/528*-168 - (0 + 2). Solve 0 = -32*f + 36*f + i*x - 12, 0 = -5*f + 3*x + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*h - 0*h. Suppose 2*k + 1 = 3*z, -z = 4*k - 2*z + 7. Put -6, 2, k, h in decreasing order.\nAnswer: 2, k, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 45*q**2 - 3697*q + 3741.\nAnswer: (q - 87)*(q - 1)*(q + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*v**5 + 5)*(1 - 4 + 2) + (-5*v**3 + 26*v + 5*v**3 + v**3)*((-v**2 + v**2 - 2*v**2)*(2 + 1 - 1) + 2*v**2 + 2*v**2 - 2*v**2 + 5*v**2 - 4*v + 4*v).\nAnswer: v**5 + 78*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.99478 centuries to months.\nAnswer: 112793.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/10, -281\/5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/4 + v**3\/3 + 70*v**2 + v + 11. Let o be h(0). What is the highest common divisor of 40 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-3))\/(2\/(363 - 1)). Let p = g - 389\/2. Find the common denominator of 49\/2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 14571?\nAnswer: 14571.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 24 = -0. What is the closest to h in -5, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-22)*1\/(2\/12). What is the lowest common multiple of (-2 - x)\/((4 - 3)\/(-2)) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1)\/(15\/(-6)). Let u = 0.113 + -1.113. Which is the biggest value? (a) x (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 5616*o - 3942432.\nAnswer: -2*(o - 1404)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 37761 - 11919 = 0. Calculate the least common multiple of 3864 and z.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*s**3*t + 1744532*s**3 - 3*s**2*t + 149*s**2 + 2*s*t + 14*s + 3 wrt s.\nAnswer: 66*t + 10467192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h)\/(h\/h**(-18)*h*h)*(h**9)**(-1\/14) assuming h is positive.\nAnswer: h**(-163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 - -42. Let l = 132 + y. Let c = l + -65. What is the fourth smallest value in -0.2, -2, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s**6)\/s)\/s)\/s*s\/(s*(s\/(s\/(s**(2\/9)\/s)))\/s))\/(((s\/s**(-5))\/s)\/(s*s**7\/s*s)))**(-1\/16) assuming s is positive.\nAnswer: s**(-79\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -7955\/9 in descending order.\nAnswer: 5, -5, -7955\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -49719, -33521, -17309, -1077, 15181, 31471?\n\"Answer: p**3 + p**2 + 16188*p - 65909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -51.21. What is p rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2228, -13157, -31368, -56861?\nAnswer: -89636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 9. Suppose y*k - k + 44 = 2*s, -3*k - 22 = -s. Let j(o) = 10*o**2 + o. Let i be j(1). Calculate the highest common divisor of s and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 853, 843, 833, 823?\n\"Answer: -10*j + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 8*c**2 + 24*c + 37. Let w = 22851 + -22861. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4*v - 4. Suppose 4*a = -4*b - 10 + 2, a = b. Let h be (-2 - (1 - 2))*b. Suppose x - 5 = -x + d, -2*d - h = -x. Give l(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 243, 2189, 7427, 17589, 34307?\n\"Answer: 272*a**3 + 14*a**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3661 * 0.5.\nAnswer: 1830.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 4)\/(2\/(-3)). Let a(f) = -2*f + d*f - 3*f. Let j(x) = -13*x. Determine a(j(u)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Let u = y - 2.8. Suppose 7*t = 2*t + 5. Sort -0.2, t, u.\nAnswer: -0.2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-11 - 4) - -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2) + (sqrt(162) + 1 - sqrt(2)) + 4*(sqrt(2) + -1)))**2 - (-4 + 0 + (sqrt(242) - (sqrt(242) + 0 + sqrt(242)))).\nAnswer: -1939*sqrt(2) + 8679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (484 - 483) + (-1)\/(3 - (-16)\/(-3))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.029668\nAnswer: 0.0029668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 14*i**2 - 31*i + 6. Let a = -57 + 68. Let h be y(a). Differentiate 2569*t**2 + h + 37*t**4 - 2569*t**2 wrt t.\nAnswer: 148*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1 + 3. Let h = 11 - 13. Let i = h + 15\/8. Which is the second biggest value? (a) i (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(51) - sqrt(51)*-3))\/(sqrt(3) + (sqrt(432) - sqrt(3))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -17*a**2 - a + 12. Let n(u) = -30*u**2 - 3*u + 20. Let t(f) = -7*k(f) + 4*n(f). What is t(-8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 474*c**2 - 4*c - 2*c**3 + 4*c**3 - 546*c + 2*c**4 - 1956*c wrt c.\nAnswer: 24*c**2 + 12*c + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (23\/46)\/((-1)\/2). Sort -111, 5, z in ascending order.\nAnswer: -111, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 4) + 0 - 0. Let j(z) = 2*z**2 + 2*z + 1. Let w be j(n). Suppose -4*y + 28 = 5*f, -3*y = -5*f + 21 + 28. Which is smaller: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*8\/5. Suppose q + q + 5 = -5*r, m*q - 5*r - 5 = 0. Suppose 6*d - 8 - 10 = q. Solve 2*c + 3 + d = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/((m**(2\/85)*m*m)\/m))**(2\/97))**(-11))**(18\/11))**50 assuming m is positive.\nAnswer: m**(-29880\/1649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -57. Suppose -g - 4 = 0, -g + t*g = 4*d - 324. Calculate the greatest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**2 + 297915*c - 18521458 wrt c?\nAnswer: -6*c + 297915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 11999 = 3*t, -j + 0*t + 3001 = 2*t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5059447 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144 at most as big as 6431\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -29778526*q + 85068. Let r(w) = 18907*w - 54. Determine -4726*r(m) - 3*t(m).\nAnswer: -18904*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1610*u + 1571*u + 3276 = 0. What is the remainder when 976 is divided by u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c**10)\/(c*c**(1\/6))**(-1\/49) assuming c is positive.\nAnswer: c**(505\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 87*o + 587. Let u be i(6). Solve u - 14 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 298839*q + 300851*q)*(11 + 5*q - 11).\nAnswer: 10060*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21967523 is divided by 686485.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 6:09 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -7, 16, 8, 4 in ascending order.\nAnswer: -7, -4, -1, 4, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -26. Find the third derivative of -27*g**2 + k*g**2 + 13*g**6 - 3*g**6 wrt g.\nAnswer: 1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 11 - -7 - 13 - (2 + -1)) + -17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44287\/185 + -30\/37. Let w = 241 + p. What is the third smallest value in -1\/3, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640 = 4868*k - 4928*k for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.95 + 0.05. Suppose 4*d - h = 5, 4*h - 15 = -h. Suppose -2*g - 8 = 2*g. Which is the second biggest value? (a) s (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -3*l**7\/70 + l**5\/4 - 8*l**2. What is the third derivative of i(g) wrt g?\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6681 is divided by 1660.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2226.324s?\nAnswer: 37.1054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/905441937 or 0?\nAnswer: 2\/905441937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -50.00175. Round h to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + b - 10 = -1, -5*r + 3*b = 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 163043, -0.1.\nAnswer: -0.1, 1\/2, 163043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12430 - -28206.023?\nAnswer: 15776.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 14 + 7*q + (-3 - 1 + 3)*(1 + q - 1) + q + 0*q - 2*q + 437 - 26*q - 437 + 0*q + 0*q - q.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 29. Let w = -8 + p. Let l = 27 - w. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 + 11*q + 792. Let j be r(-24). Calculate the greatest common factor of j and 826.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (57\/19)\/((-6)\/(-448))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**5\/60 - c**4\/12 - c**3\/3 + 1. Let n(o) be the third derivative of f(o). Does 7 divide n(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + 12349*d**2 - 13437*d**2 + 0*d as s*d**2 + o + i*d and give s.\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077677 rounded to 6 dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = s + 58 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -137812 not equal to -137808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -398000 rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 120 + 341 = 101 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 1. Let g(k) = 6*k + 1. Let h be g(-1). Let d be (1\/2)\/(h\/10). Let n(c) = 3*c - 5. Give d*n(o) - 5*q(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 35\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30885*c = 31486*c - 15626 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177956 is divided by 88357.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 109 - 16. Let u = 4087\/234 - -4\/117. What is the common denominator of f and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 11*i**2 - 4*i**2 + 1 - 8*i**2 + i to the form q*i**2 + m*i**4 + g*i**3 + r + x*i and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -135000000 to the nearest 1000000.\nAnswer: -135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, 2 in descending order.\nAnswer: 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -2032023?\nAnswer: -2032003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**7\/2520 - c**6\/720 - c**5\/24 + 3*c**4\/4 - c**3\/3 - 226*c**2. Let l(h) be the second derivative of x(h). Calculate l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/2*32\/(-24)*5\/10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 3*s - 1 = -6*d, 4*d = s + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 + 23*t - 408. Let q be b(9). What is the third biggest value in q, -4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 534*v**2 + 23152*v + 101280.\nAnswer: 2*(v - 211)*(v - 60)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -44, 1\/7, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -145 in descending order.\nAnswer: 8, 3, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inlolpnllllnnllnl. Give prob of picking 1 i and 1 l.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 4 + 4)*(4*o - 6*o + 3*o)*(-2 + 5 + 2).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685 is divided by 186.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -5 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-510)*9*-2*(-1)\/(-6)*310?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 48.44 times 2\nAnswer: 96.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10134\/(-10130) - (-187 + 186). Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*c, -223*s + 227*s + 17 = -5*c. Factor 0 + 0*n + 2\/9*n**4 + 32\/9*n**s - 16\/9*n**3.\nAnswer: 2*n**2*(n - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.02 - -40. Let b = 0.02 + n. Sort -4, -5, b, -0.5 in increasing order.\nAnswer: -5, -4, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*p**3 + 111*p**3 - 436*p**3 - 459*p**3.\nAnswer: -702*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t - 5 = 0. Let w = -7 + t. Is 2 a factor of (3*1)\/(w\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23702 is divided by 2631?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -2*x + 11, -4*u + 12 - 70 = -x for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -40836.\nAnswer: -3\/13612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 - 2. Let f be p(-2). Solve n + 3*n - 4 = 0, -2*n = -f*r + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/10)\/(120\/100)*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20146*o**6 + 16850*o**2.\nAnswer: 2417520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 13 = -22*z + 44. Suppose 2*b + 3 = -1. Let v be ((-68)\/(-714))\/((-2)\/12). What is the fourth biggest value in -2\/5, b, v, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 4*l**2 + 3*l**2)*(3*l - 3*l + 2*l) - 11*l**3 + 148*l**3 - 9*l**3.\nAnswer: 124*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101010011010010010010 - -101?\nAnswer: 100101010011010010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 10, -6 in ascending order.\nAnswer: -6, -1, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 0*p + 4 - 9 in the form t*p + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**7*f)*f)**42)**(3\/47))**(-33) assuming f is positive.\nAnswer: f**(24948\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 0*q + 2*q**2 - 1\/20*q**5 + 0 + 0*q**3 - 5\/24*q**4. Find the second derivative of b(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -168*k**2 + 169*k**2 + 0*k**3 + 4 - 6*k + 4*k - k**3. Give b(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 37*o**2 - 1233*o - 834. Give a(34).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*z + 1. Let a = -1 - z. Suppose -2*i - a*i = 0. What is i rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 687 divided by 5.\nAnswer: 687\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:57 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(1\/1))\/3. Let o = -1 + 0. What is the nearest to o in -0.1, w, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281 + -268. Let x(m) = -m**3 + 3*m**2 + 2*m + 5. Let q be x(4). Which is the second smallest value? (a) q (b) 4 (c) 1\/7 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9327, -18659, -27991?\nAnswer: -37323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 33 = 2*t, 3*t + 4*i = i + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528156199 is divided by 8437.\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-52)*1\/(10\/(-16)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41759784121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*1*(-1)\/2. Let h be 1\/2 - (-6)\/w. Let k = 58 - 63. Put 0, h, k in decreasing order.\nAnswer: 0, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145943 is divided by 1860?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 906251827 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1077 or 1075?\nAnswer: 1075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 1:26 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214396062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12634, -12646, -12662, -12682?\n\"Answer: -2*k**2 - 6*k - 12626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1741593 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*j - 606 = 156*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5\/5 + 51788*m**4\/5 + 1502857*m**3\/5 - 8498192*m**2\/5 + 10570668*m\/5 = 0. What is m?\nAnswer: -34, 0, 2, 3, 51817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 + 62. Let v = s - -448. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0366 * -1.25.\nAnswer: -0.04575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -2, -68 in decreasing order.\nAnswer: 1, -1, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25463 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 6 (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 7) + -7 + -1 + -6 + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 676 - ((2\/(-4))\/((-7)\/14) + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19575 < -19581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ed9 (base 16) to base 8.\nAnswer: 47331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from tqttoivotqvoqo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 3*y**2 - 5 - 5*y**2 - 3 in the form d*y + c + r*y**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 2304742.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1907*0.2.\nAnswer: -381.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -7157.06\nAnswer: 143.1412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.7478 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_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: Solve -27*p = -69*p + 252 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -90165 divided by -30055\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220429 is divided by 101.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 0 - 2)\/1. Suppose -z - 37 = -2*r, 19 = 2*r - o*r + 5*z. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = 3*w, -25 = 2*w - 4*w + 5*h. Suppose n + 19 = -w*n. Let s = 35 + n. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002928 rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 60 = z, 2*z + 5*m = -0*z - 120. Let i = z - -782\/13. Sort -1\/2, i, -0.2 in ascending order.\nAnswer: -1\/2, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 19) + (4 - 2) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 211 + 0*f**2 + 3*f**2 - 133 + 4*f - 9*f**2 + 5*f**2 as l + s*f + g*f**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 156 = 29*n. Let s(g) = -g**3 + 8*g**2 - 5*g - 7. Calculate the lowest common multiple of n and s(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 5. Let v be -4 - -3 - (1 + 0). Let o(r) be the third derivative of -r**4\/12 + 11*r**3\/6 - 81*r**2 - 2*r. Give v*o(k) - 5*d(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) - 13\/(-3). Suppose f*s - 163 = -27. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-314)\/(-30))*1\/(-2)*3\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, i: 6, b: 3, u: 2, p: 1, m: 3}. What is prob of sequence ui?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:02 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 + 93*b\/4.\nAnswer: -3*b*(b - 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - f - 17 = 8*b, 0 = -5*b - 3*f - 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1530 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12206 is divided by 194?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -109757?\nAnswer: -109758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 1311890 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129328251.\nAnswer: 3, 13, 691, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**5\/20 + c**4\/4 + c**3\/2 + c**2\/2 - c. Suppose 0 = -4*o - 3 - 5. Determine f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -21, -19, -17?\n\"Answer: 2*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 72*s**3 + 60*s**2. Let m(c) = c**3 + c**2. Determine -240*m(t) + 4*x(t).\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172522.\nAnswer: 2, 13, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t. Let h(u) = 317024 + u - 317018 - 2*u. Give h(x(c)).\nAnswer: 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*((-1034)\/(-132))\/47?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**50)**(2\/31)*h**(-2\/29)*h*h**(-2\/5)*h*(h**5\/h)\/h*(h\/h**(3\/11))\/h assuming h is positive.\nAnswer: h**(-108448\/49445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0164 + -0.2936. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -452 - -459. Solve 3*b + k*b + 40 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3469, -3506, -3581, -3700, -3869, -4094?\n\"Answer: -c**3 - 13*c**2 + 9*c - 3464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, f: 1, u: 1, e: 5}. Give prob of sequence aau.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -0*o - 2*o - 1, o = -j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-119)\/21 - (-6 - 6))*3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758.7 rounded to the nearest 10?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, -14, 2\/99?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 44*h**2 + 385*h - 8. What is the tens digit of l(49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4217177*p**3*r + 2824761*p**2*r wrt p.\nAnswer: -25303062*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j + 10*j - 3*j**4 - 16*j - 3*j**2 + j**4 + 2*j**3 - 2*j**3 + 2*j**4 + 0*j + 0*j + (2 - 1 + 0)*(6*j**4 - 2*j**4 - 2*j**4) - j**4 + j**3 - j**3.\nAnswer: j**4 - 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5200131m in nanometers?\nAnswer: 520013100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(11) + 1)**2 + 5 + sqrt(11) + 0 + sqrt(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.085927197 rounded to three decimal places?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/((-1470)\/(-96)))\/((-2)\/(-7))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67088, 540139, 1824128, 4324523, 8446792, 14596403, 23178824?\nAnswer: 34599523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 228, 506, 894?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-4))\/((-78)\/936). Let p(r) = 3*r**3 + 9*r**2 + 4*r + 9. Let x(b) = b**3 + 2*b**2 + b + 2. Determine i*x(s) - 2*p(s).\nAnswer: 3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 786 + -6785\/9. Is g != 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588 and 30?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 9*i = -8*i. Suppose i = -24*u + 30*u. Put 57, -2, u, -5 in increasing order.\nAnswer: -5, -2, u, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227727 to the power of 1\/2, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 - 5. Let u(x) = -x + 12. Let d be u(13). Let s = -1 + -1. Which is the closest to r? (a) 1\/6 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359574999?\nAnswer: 3, 7, 17122619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 0 + 0 + (7 + 5 - 4)*(-2*d + 0*d - d) + d + 0*d + d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 + 1857216*v**2 - 102137967*v + 100280754 = 0. What is v?\nAnswer: 1, 54, 619017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1430 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233017 to the power of 1\/2, to the nearest integer?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*h = 6, -14 = -3*z + 4*h + 19. What is the highest common factor of z and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m - 9. Let y(k) = 3*k - 5. Let b(j) = -4*v(j) + 7*y(j). Let h be b(3). Suppose 4*t - 36 = -5*t. Solve -2*n + h*w = -2, -7 = -3*n - t*w - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/6*(-204)\/2 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790991849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.6785 to zero dps.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/147)\/(7\/105). Let o = s - -488\/1911. Is 0 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -52, -82, -124, -178?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**6)))\/g**(-6))**30 assuming g is positive.\nAnswer: g**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 2. Let f(r) = 5*r - 3. Let w be (-3 - (-4 + 1)) + 3. Let x(u) = w*t(u) - 2*f(u). Let p(a) = 3*a**2 - 5*a**2 + a**2. Give p(x(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1727 or -470?\nAnswer: 1727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*g + 18, -5*q - 15 = -0*g - 5*g. Differentiate 6 - 36*j**q + 36*j**2 - 2*j**3 with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 - 12*a**2 + 14*a + 14. Let p be m(-6). Sort -4, -3, 4, p in increasing order.\nAnswer: -4, -3, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, n: 1, a: 1, k: 1, w: 3, u: 3}. Give prob of picking 1 q, 1 k, and 2 u.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 7:28 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4076\/577 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**3 - 4*l**3 - 10*l**2 - 2*l + 22*l**2 + 70 - 14*l**2 - 4*l**3 to f*l**3 + r + b*l**2 + u*l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/2)\/3*(-7)\/(-21)*-3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -1. Let v(i) = l*i**2 + i**2 - 3*i**2. Let o(c) = c**2. Calculate v(o(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 147. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 1655*w**6\/6 + w**2\/2 - 9*w - 2376. Find the second derivative of a(b) wrt b.\nAnswer: 33100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 762 (b) -2\/17 (c) -1\/6 (d) -0.3 (e) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7227248 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**4 + 16*p**3 + 5*p**2 - 16*p + 6. Let u be -1 - -2 - (-2 + 2). Let t(j) = -j**4 - j**3 + j - 1. Let d(i) = u*f(i) + 6*t(i). Factor d(g).\nAnswer: -5*g*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**2\/2 - 5*m + 4. Let h be b(8). Factor 1\/3*k + h*k**3 + 0 + 2\/3*k**5 + 7\/3*k**4 + 5\/3*k**2.\nAnswer: k*(k + 1)**3*(2*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2\/7*n**2 + 2\/7*n + 37 + 2\/21*n**3. Determine h, given that o(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, k: 1, l: 4, r: 7, z: 4}. What is prob of sequence rzhh?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1242 - -2651. Is q a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 1. Let b = -11 - -8. Let a be y(b). Let v = a - -2. What is the remainder when 18 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 0*c**2 + 3*c**2 + (-c**2 - 9*c**2 - 3*c**2)*(4 + 1 - 6)*(-5 - 6 + 1 + (1 - 1 + 1)*(-3 + 2 + 0)).\nAnswer: -141*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59729 - -26.5?\nAnswer: 59755.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 5376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*-3 - sqrt(130)*-3*1)\/((3*sqrt(120)*2)\/(4*sqrt(36)\/sqrt(3))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 + 8 - 21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212023 (base 4) to base 15.\nAnswer: acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 5*a - 3. Let g(o) = o - 4. Let q be g(8). Suppose -f + 4*v + 16 = -4*f, q*v + 20 = -4*f. Determine p(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4341832*0.1\nAnswer: -434183.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8075*q + 8569*q + 91 - 4043 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -64. Which is smaller: i or 32?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-5)\/75*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*h**5 + 39*h**5 - 54*h**5 + (h**4 - 2*h**4 + 2*h**4)*(0*h - h - 2*h) - 2*h**5 - 3*h**5 + 2*h**5 - h**5 + 6*h**5 - 3*h**5.\nAnswer: -105*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**8\/504 - 2*p**7\/315 + p**5\/45 + p**4\/36 - 5*p**2. Factor w(l).\nAnswer: -2*l*(l - 1)*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l - 526 = -1862 - 450 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1741\/111424 - 54264\/(-512)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a8 + d5b?\nAnswer: ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 27*s + 192. Let i be b(-7). Solve -5*z - i*q = 18, -15*z + 4*q + 7 = -16*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46549339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72123 by -87.\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*a + 2 = 4*a, -4*a = 2*g - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Find the first derivative of -2*v**3 - 2 + a*v**3 - 3*v**4 + 4 wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 193 = 2*v, 5*f + 3*v = 2*f + 591. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1) + (-40 - -43). Let p(a) = 4 + 4*a + 6*a**2 + 8*a**2 - 16*a**2 + 5*a**u. Give p(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632310 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 339947258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 37*n + 252. Let l be w(-8). Does 5 divide -19 - -24 - 1*(l + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337842 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 (base 11) in base 4?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 6*i + 6. Let s be o(5). Let c(m) = 1 + 2*m - 3*m + 6*m**2 + 16*m**2. What is the tens digit of c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 5. Let u(b) = -12*b + 21. Let j(z) = 22*c(z) + 6*u(z). Let m be j(4). What is the third biggest value in -0.4, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-24)*(-24 - -30)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 225. Let r = -146 - i. What is the greatest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -393 + 424. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3105 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3903 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24115 - -31?\nAnswer: -24044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -24*o**2. Let n(u) be the third derivative of u**4\/12 - 2*u**2. What is n(d(x))?\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43072 = 2*q - 3*f, 3*f - 21527 = 17*q - 18*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52025 - 4.050181.\nAnswer: -52029.050181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10375 divided by 51\nAnswer: 10375\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/77 (b) -0.4 (c) 0.1 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 11*f - 11. Let z(r) = 2*r**2 - 5*r + 5. Let l(o) = -o**3 + 3*o**2 + o + 3. Let t be l(2). Determine t*z(u) + 4*n(u).\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11738.93 - 11875. Round f to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -655312 divided by -3\nAnswer: 655312\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 3*j + 35. Suppose -4*c + 2*f + 1 = -1, -4*c + 5*f + j = 0. Sort 3, -2\/33, c.\nAnswer: -2\/33, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -1.4. Which is the third smallest value? (a) -0.5 (b) -10 (c) -3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6051 + -257?\nAnswer: -6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 - 4*m**2 + 7*m + 3. Let t(l) = -4*l**3 - 3*l**2 + 6*l + 2. Determine 3*t(v) - 2*z(v).\nAnswer: -2*v**3 - v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 125275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2373542538.\nAnswer: 2, 3, 701, 564323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41284?\nAnswer: 2, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 162463344 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 1743.\nAnswer: -13\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/4)\/(-3 - 96\/(-40)). Suppose 13 = -3*g + 10. What is the second biggest value in g, -4\/7, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.3. Let d = 7.7183 - 7.5083. Sort d, 0.3, p in decreasing order.\nAnswer: 0.3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275353?\nAnswer: 3, 252817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 393*r**2 + 378*r**2 - 1168*r**2 + 394*r**2. Let k(c) = -3*c**2 + 3. Let f(o) = -8*o**2 + 10. Let m(z) = 6*f(z) - 20*k(z). Determine m(h(l)).\nAnswer: 108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2 and -3 - (-7581)\/2808 - 8\/36.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 2:34 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2556 = -d, 2*f + 2*d - 2558 = -0*d. Calculate the remainder when f\/15 + 144\/(-1080) is divided by (9\/(-2))\/(2\/(-20)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2125 to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/151 - -9569\/1208. Find the common denominator of 41\/2 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**6\/120 + f**5\/60 - 5*f**3\/2 + 2*f**2. Let x(g) = g**3 - 69*g**2 + 113*g - 3060. Let d be x(68). Calculate v(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**3 + 2*t**3 + 3*t**3)*(-101*t + 42*t + t - 109*t) in the form p*t**2 + j*t + d + n*t**4 + m*t**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-206172075\nAnswer: -206172075.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 926088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v + 605 = -v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 1. Suppose -5*i = i - 78. Let s be -2 + 7 - 52\/i. List the prime factors of b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11542, 15722, 19904, 24088, 28274, 32462, 36652?\n\"Answer: f**2 + 4177*f + 7364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 + 74840*v + 1423404 = 0 for v.\nAnswer: -19, 18729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - v**3 - 3*v)*(-v + 0*v + 0*v) - 3 + 1035*v**4 + 3 - 58*v**4 to the form o*v**4 + p*v**3 + y*v**2 + m*v + d and give o.\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 y when four letters picked without replacement from {y: 3, l: 15}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h + 27. Let w(r) = -r - 2. Let j(l) = 2*d(l) + 27*w(l). Let z(s) = -2*s + 0*s - s. Give j(z(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b - 4b5?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 1. Let h(j) = -2*j + 10. Let z(x) = -4*g(x) - h(x). Let s(m) = -m**3 - 4*m**2 - 2*m - 2. Let n be s(-3). List the prime factors of z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = -11*u. Factor -12*s + 6*s + 6*s**3 - 48*s + u*s**3 - 20*s**2 + 20.\nAnswer: 2*(s - 5)*(s + 2)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 18 = 4*x + 3*o, 5*x = -2*o - 26. Let w = x + 2. Let i(y) = -2*y + 5. Let v(p) = -2*p + 4. What is w*i(r) + 5*v(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - o**4 - o**4)*(-1 + 1 - 1) + (3*o - o**3 - 3*o)*(-5*o + 81 - 81).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1109715 and 177020.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/4 + 701*j**2\/2 + 14239*j\/4 - 42007 = 0.\nAnswer: -17, 7, 1412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -51. Is (-5)\/((-5)\/(-2)) - k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from serennnrnr. What is prob of sequence rnse?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -24*s**2 + 11*s + 13. Suppose 3*p + 3*i - 30 = 0, 4*p - 5*i = -i + 64. Let h be a(p). What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*sqrt(99) + -3.\nAnswer: -3*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128.1 + 128. Let y = 39 - 39.3. Let h = -12 - -8. What is the nearest to b in h, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/578279 and -35\/4270368.\nAnswer: 55514784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/21 - (-949)\/(-511)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 3*h**5 - 3*h**5 + (-6*h**2 - h**2 + 5*h**2)*(4*h**3 + 1 - 1) - 39*h**5 - 23*h**5 - 16*h**5.\nAnswer: -85*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/54 and (2086\/(-336))\/(((-6)\/4)\/3).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 4, -1\/38, -41, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 605337.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1706082 or -1706081?\nAnswer: -1706081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1*4953\/762?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.002 - -33.998. Let o = x - 35. Which is the nearest to o? (a) -2 (b) 0.4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 + 84 + -118 - -79.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1419, 1418, 1417, 1416, 1415, 1414?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23043 divided by -1?\nAnswer: 23043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261914918 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/59 (b) 1\/6 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-3)*(-8)\/(-60)*30\/(-24)?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 3*s + 5, 5*s + 9 - 54 = -4*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 3*j**3 + j**3)*(-3*j - 2*j + 8*j).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*p - 12 = -p, 0 = 2*i - 3*p. Suppose -90 = -3*n + 3*x, i*x - 7*x = 4*n - 80. Solve 8*h - 3*h + n = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*n + 128 = 0, -4*k - 6*n + 2*n = -168. Suppose -l - 2*l - 5*g = -53, 4*g - 27 = -l. Calculate the highest common divisor of l and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0112 rounded to 4 dps?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -398\/5. Which is the second biggest value? (a) 0.5 (b) 9\/8 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -37 + 10 + 2 + 78 - 0.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 5. Give f(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w - 2*w**2 + (0*w + 3*w - 6*w)*(w - 4*w + 2*w) + 0*w**2 + 4*w**2 - 6*w**2 + 2*w**2 + w - w + w**2 + 4*w**2 + 4*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5232\/372 - (-16)\/(-248). What is the highest common factor of 1918 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108)\/(-8)*6 + -1 - 4. Let p = -35 - -331. Let v = p - l. Does 36 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -0*s. Let p(t) = t**s + 0*t - 4*t + 4*t. Let u(b) = -5*b**2. Give p(u(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 125*x**3 - 491*x**2 - 10*x + 6. What is v(4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - g + 5*g + 5*g - 2*g - g + (0 + 3*g + 0)*(-13 + 8 - 6).\nAnswer: -29*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Suppose -9 - 3 = 4*f, 81 = 3*j - 5*f. Factor -9*u**4 + 8*u - a + 24*u**3 + 4*u**4 - 4*u**4 - j*u**2.\nAnswer: -(u - 1)**2*(3*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3323, -7124, -10935, -14762, -18611, -22488?\nAnswer: -26399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46062, -92123, -138184, -184245?\n\"Answer: -46061*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204\/1495 + 2\/115. Sort -1\/5, 3, 2, z, -2\/11 in ascending order.\nAnswer: -1\/5, -2\/11, z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/7 + 116*n**2\/7 + 3256*n\/7 + 6016\/7.\nAnswer: -4*(n - 47)*(n + 2)*(n + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 10763?\nAnswer: 10769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 28, 64, 124, 214, 340, 508, 724?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 6. Let b be c(-11). Let d = b + 39. Suppose d*a - 21*a = 14. Solve -3*t - a = 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(0 - (5 + -4)). Let h(o) = 8*o**3 + 17*o - 17. Let l(z) = -3*z**3 - 6*z + 6. Calculate f*h(i) - 17*l(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 2*j**3\/3 - 13*j**2\/2 + j. Let x be o(9). Suppose -2*v + x = k, 6 = 3*k + 3. Calculate the remainder when v is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 22, -3\/4, 3 in ascending order.\nAnswer: -3\/4, 2\/7, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38.7 (b) -1\/2 (c) -223390\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 3.906?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -m + 3, 214*n + 6*m + 358 = 2*m - 74 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdn when three letters picked without replacement from {f: 4, d: 6, j: 2, n: 2, a: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3648 is divided by 518.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -4)*(-2)\/(-6). Let k(l) = l**2. Let d be k(i). What is the units digit of -1*8*(-21)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8332 - 7*r + 16668 - 8336.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33\/175 + -5\/28. Suppose 3*i + h + 0 = 4, -3*h = 4*i - 12. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9129, -36540, -82227, -146190, -228429?\n\"Answer: -9138*b**2 + 3*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.00021 + 39. What is m rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 4607.\nAnswer: 4606.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122229?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 656007, 655979, 655951, 655923, 655895?\n\"Answer: -28*n + 656035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 696420 and 1080?\nAnswer: 4178520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**6\/120 + k**5\/6 + 3*k**4\/8 + k**3\/6 - 7*k**2. Is b(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -11*m**2 + 131*m - 211. Calculate s(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-15))\/((-4)\/10). Suppose -s - 12 = 4*g + a*s, g - 4*s - 16 = 0. Suppose g = -3*q - 2*q + 415. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 814, 3254, 7316, 13000, 20306?\nAnswer: 29234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -37. Let v be 26\/(-130) - (-2)\/10. Suppose v*q + 2*q - 24 = 0. Calculate the least common multiple of c and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-4)*(-264)\/(-20) - 2. Let i = u + -31. Suppose 3*h - q = 4, i*q = -5*h + 3*q. Is 3 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 13, -48, 0 in decreasing order.\nAnswer: 13, 3, 2, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20596963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 1738.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 654089, 2616337, 5886751, 10465331, 16352077, 23546989?\n\"Answer: 654083*l**2 - l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 23571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 13*f**2 + 11*f + 9. What is the tens digit of k(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -936 - -350. Let w = -562 - k. Suppose -b = 4*b + 5. Put b, -3, 1\/4, w in decreasing order.\nAnswer: w, 1\/4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205\/3 + 341\/5. What is the smallest value in 0.2, a, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (368\/16)\/((-10)\/(-3)*(-20)\/((-120)\/9))\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29b0 (base 12) to base 11.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 452 and 167579.\nAnswer: 670316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2. Let l(t) be the third derivative of 0*t**3 + 2\/3*t**4 + 0 - 8*t**2 + 0*t. Give l(u(a)).\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 661697 not equal to 661697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1. Let n(u) = -u + 3. Let c(w) = -n(w) - 3*q(w). Let r(t) = -13*t - 21*t - 19*t + 33*t + 3*t. Calculate r(c(a)).\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94)\/(-14) + 9936\/7728?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341255 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 36*v**3 - 30*v**2 + 36*v + 33.\nAnswer: -3*(v - 1)*(v + 1)**2*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -221, -804, -2467, -5750, -11193, -19336?\n\"Answer: -90*u**3 + 47*u - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -143 and 0.1?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -114*s + 2. Let d(h) = 117*h - 1. Determine -3*d(c) - 2*j(c).\nAnswer: -123*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13866164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 4370\/33513 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, x: 11}. Give prob of sequence xxxx.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 1258*d - 1270*d. Solve 19*k - 17*k + 3*w = d, 8 = 4*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-4) - -7 - (-10280)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 2. Suppose 5 = 4*d + 1. Let c = 2 - d. Let g be (c + 2)\/(9\/(-6)). Give s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 - 2*v + 1. Suppose -3*i + 6 = -0. Let w be y(i). Suppose 3*d - 13 = 2*b + w, -4*b = 3*d - 30. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1) + -2)*(624\/(-32) - -19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4911, 4909, 4907, 4905, 4903?\nAnswer: 4901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061208 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -24*b - 350. Let p be x(-14). Let u(a) = -a**3 - 15*a**2 - 14*a + 27. Determine u(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86 + 10*o**2 - 11*o**2 - o**3 - 234 + 2*o**3 in the form l*o**3 + u*o**2 + b + v*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 513108641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 777 and 666?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.6558 and 1056745.1.\nAnswer: 1056747.7558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 2 - u**2 + 4*u**2 to the form d*u**2 + y + o*u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 355*r + 589*r + 2 + 146*r + (-r - 2*r + 0*r)*(-2 + 8 - 3) in the form v*r + k and give v.\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3\/4 (c) 2\/25 (d) 8 (e) 119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 284038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 2*m - 3*m + (0 - 2 + 1)*(-m + 0*m + 0*m) + 3*m - 5 + 5 + 3*m + 0*m - 4*m - 3 + 3 + 2*m + (2 + 3 + 0)*(-m + m + 2*m).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -1709*y**3\/3 + 7291. Let k(a) = 6*a. Give i(k(r)).\nAnswer: -61524*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(243)) + sqrt(15)\/(sqrt(125) + -1*sqrt(125) + sqrt(125) + sqrt(125)).\nAnswer: 5 + 451*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2755 = -2*a, -140*a - 6876 = -145*a - c. What is the remainder when a is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*r - 129 = -2*o, 590 = 5*o + 4*r. Does 29 divide o\/(-513) - 1091\/(-9)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1061.8 + -1227. Let j = k + 165. Suppose 2*r - 46 = -2*o, r - 2*r = 5*o - 99. Which is the nearest to j? (a) o (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 61*c**2 - 1706*c + 241. Give k(28).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 510?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26904.\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 716673\/7 greater than 102383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3466 + -3431. Solve -o - f*t = -31*t - 13, -3*t + 7 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(2*i - 2*i - i)*(0 - 2 + 0).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11114 (base 9) to base 13.\nAnswer: -3490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26690551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {d: 2, j: 9, t: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/((-2)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a millennium in centuries?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1734 - 1630 = 13*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4737 + -4677. What is the least common multiple of w and (-1)\/4 - (-100)\/16?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932961979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from {j: 5, k: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 + y**3 - 2*y**3)*(-2*y + 3*y + y) + (2 - 1 - 4*y + 3*y)*(-3*y**3 + 3*y**3 - y**3).\nAnswer: 9*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 6:48 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2633 - -5291. Let h = 2658.0001413 - k. Round h to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 386.0674 * 0.8.\nAnswer: 308.85392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3 - 11180*z**2 + 15635224*z - 31225744 = 0.\nAnswer: 2, 2794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*o = 3*n + 11, -2*n + 10 = -o. What is the least common multiple of n and 1*((-12)\/3 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96686*f**4 + 11400*f**2 + 2.\nAnswer: 2320464*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20898 - 74102. Round s to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 588 + -593. Let h(y) = -y**2 - 8*y + 7. What is h(i)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 501? (a) 0.214 (b) 2 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from iuigiku?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846152188 to the power of 1\/2, to the nearest integer?\nAnswer: 76460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7404 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(1\/7)*w\/w**(2\/5) assuming w is positive.\nAnswer: w**(61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 752266 - -85.457?\nAnswer: 752351.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-246)\/8)\/(-41) - 38\/48. Which is the second biggest value? (a) -5 (b) f (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85.9 + 86. What is the third biggest value in -4, 8\/7, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1737, 3469, 5185, 6879, 8545, 10177, 11769, 13315?\n\"Answer: -x**3 - 2*x**2 + 1745*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.6 - 13.6. Suppose 30 = -2*o + 4*i, -3*o + 8 = -2*i + 33. Suppose -1 = 4*q - 17. Which is the second biggest value? (a) o (b) q (c) 3\/2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447707119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 133.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7275177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216 - 138. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 15*a + 2. Let j be q(15). Solve 6*u = j*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.1 (b) 4\/7 (c) -3 (d) 22 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 282*v**2 + 34 - 74 to c*v + z*v**2 + p and give z.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/45)*i**28*i)\/((i*(i**17\/i)\/i)\/i)**1 assuming i is positive.\nAnswer: i**(632\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 2) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-12)*21\/2. Suppose -5*m + 8 = -g*m. What is the closest to -3\/5 in m, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/30)\/((-120)\/(-36)). Let r = -3100 - -154991\/50. Let u = j - r. Which is the second biggest value? (a) u (b) -1\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5006772 divided by 1668924.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2908 + 2908. Let x = -4 + -7. Let q = -7 - x. Solve -2*u = -5*u - 4*f - 21, a = -5*u + q*f - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 5*i - 4*i**2 - 1 + 3*i**2. Suppose 2 = 3*m - 10. What is the units digit of y(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (-47 - (-50 - -8))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -64 and -243.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 686, 2391, 5124, 8885, 13674?\n\"Answer: 514*z**2 + 163*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 76. Let m = 255 - 237. What is the remainder when n is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/3 + (-2 - -2). What is the remainder when 236 is divided by h\/4 + 959\/28?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 13*l - 35398 = 1402. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*l - 5*l. What is the smallest common multiple of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36529?\nAnswer: 36529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -258 + 284. What is the remainder when 100 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (0 - 14 - -29)) + -3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 (base 8) in base 9?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215206, 430411, 645616?\nAnswer: 860821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7286 (b) -2138 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -61*x + 70. Let m be f(-14). Let n = m - 420. Does 56 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 + 3 - (-17 - -21)) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000106173 to six dps.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 182624 < 182664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27114 and 399737183?\nAnswer: 4519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12555 + 12581. Solve 0 = 16*l + 102 + p for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 3*r**2 - 3*r**2)*(169*r + 15*r + 75*r) + (-6*r**2 + 3*r**2 + r**2)*(r**2 + 2*r**2 - 2*r**2) - 2*r**4 - 4*r**4 + 4*r**4.\nAnswer: -1040*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(0 + -26). Let q(g) = 2*g - 4. Let r(s) = -2*s + 4. Let v(y) = -y + 2. Let c(n) = 4*r(n) - 9*v(n). What is z*c(o) - 6*q(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 312013760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48324837 divided by -1464389\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5 + 2482*w**4 + 861818*w**3 + 54616014*w**2 - 300257820*w - 354014496 = 0.\nAnswer: -579, -88, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.06 times -0.4?\nAnswer: -63.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = -6*y. Suppose y*t = 4*t - 8. Calculate the remainder when 17 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, c: 15}. What is prob of picking 1 m and 3 c?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = u + 4*m - 5, -5*u + 9 = -3*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 24*v + 6 = 0. Solve -v*a - 3*u - 12 = 0, -2*u - 5 = -2*a + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 48\/(-1 - 0). Suppose -3*g - g = -s + 65, 0 = -3*g + s - c. Let r = g - -30. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/3 + 8*d**4\/3 - 13*d**3\/3 + 2*d**2.\nAnswer: -d**2*(d - 6)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3 + 1418106*v**2 - 2836206*v + 1418102 = 0.\nAnswer: 1, 709051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*p - 20 = -2*m + 61*p, 0 = 4*m + p - 28 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6601)\/6762 + ((-160)\/(-12))\/10.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249777 divided by -9251.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2038.89112 rounded to one dp?\nAnswer: -2038.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10244202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/48 and -149\/264.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1543 (base 6) to base 5\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/5, 2, -0.02, -0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.57220054 - 1.3.\nAnswer: -2.87220054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 2*z**2 - 11*z + 5. Is j(5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56500 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 0.01, -2\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-827*u + 846*u + 819*u)*(-u - u + 0*u) as i*u + o*u**2 + n and give o.\nAnswer: -1676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u + 17 = 0. Suppose 0 = u*x - 20*x + 6. What is the nearest to -6 in 1, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/7))**12 assuming i is positive.\nAnswer: i**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yytcttccttttyttttc. What is prob of picking 1 c and 1 t?\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 5*g - 16. What is v(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 38. Let d(y) = y. Give d(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 9010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l**2 + 10*l + 3. Suppose 0 = 25*b - 29*b - 20. Is q(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 8*g - 16*g - 210.\nAnswer: -3*g - 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 22052035?\nAnswer: 22052035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/19 + 39\/76. What is the nearest to 0.2 in -3, c, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 6*s + 63*s)*(2 + 0 + 0) to the form r*s + v and give r.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -280, -628, -1544, -3304, -6184?\n\"Answer: -46*c**3 - 8*c**2 - 2*c - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 1. Suppose 4 = 7*z - 9*z, 6 = -k + z. Give l(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**2 - 2*t + 2. Let o(q) = -168*q**2 + 49*q - 49. Let d(k) = -2*o(k) - 49*u(k). Let v(p) = 5*p. What is d(v(c))?\nAnswer: -175*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - m = -65, 16231 = 3*r - 3*m + 16291 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9.4, -3, 0.384?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y + 67 - 325 = -168*y + 45*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z + 14. Let b(u) = -2*u**2. What is r(b(o))?\nAnswer: 10*o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*z**2 - 57*z**2 - 52*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3, k: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1089 (c) -2\/9 (d) -1 (e) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 1830*z**2 + 3640*z.\nAnswer: 5*z*(z + 2)*(z + 364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7825.74 years in months?\nAnswer: 93908.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -4\/974033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*v**4 - 53*v**3 - 46*v**4 + 54*v**3 + (-4 + 1 + 1)*(-2*v**4 + 0*v**2 + 0*v**2).\nAnswer: -135*v**4 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7057*k - 973. What is the tens digit of a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 4*m**2 + 3*m**3)*(-m - 1 + 1) + 0*m + 0*m - 3*m**4.\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 + 42531. What is the ten thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10155, -10163, -10179, -10209, -10259, -10335?\n\"Answer: -y**3 + 2*y**2 - 7*y - 10149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126209546 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0402 + 0.0514. Round k to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:22 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y + y**3 + (-2*y + 0*y + 3*y)*(-94 - 2*y**2 + 94).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 2388?\nAnswer: 11940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 221594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 15b4c?\nAnswer: -15b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.25, -2\/3, 3 in increasing order.\nAnswer: -2\/3, 1.25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 4*(-246)\/(-112))*-2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -k + f + 2, 4*k - 3*f - 23 = 0. Let j(i) = i**2 - 3*i + 3. Let y be j(3). Let c = 3 - y. Solve c*h - k = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 9*a + 3. Let b(n) = 4*n**2 + 44*n + 14. Suppose -83 = t - 69. What is t*l(o) + 3*b(o)?\nAnswer: -2*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10528\/280 - 148\/4\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107931 + 2*u**2 - 8*u**3 + 5*u + 108037 + 3*u wrt u?\nAnswer: -48*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 2. Let v(h) = 9*h - 21. Let m(g) = 3. Let k(j) = 4. Let t(i) = -4*k(i) + 5*m(i). Let n(d) = t(d) + v(d). Let a be n(3). Determine l(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -39*j**3 + 2*j**2 + 6*j - 7. Determine s(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -849?\nAnswer: 59\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -9 + 1 + (21 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2 - 16*y. Let a be i(4). Is 5992\/a - 1\/(-6) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 13. Solve 3*l - x - 1 = -5*u, 3*u = -4*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7780, -7497, -7056, -6481, -5796, -5025, -4192, -3321?\nAnswer: -2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r. Let w(x) = 13*x - 2. Calculate 14*f(l) - 4*w(l).\nAnswer: 18*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.286 + -10.286. Let h = -9.984727 - 0.014793. Let r = h - x. What is r rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -8. Let y = a - -3.2. Suppose -m + 0*m + 2 = 0, p + 3*m = 6. What is the nearest to p in 3, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:15 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6157624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94236, -94237, -94238, -94239?\nAnswer: -94240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q**2 - q. Let x be p(-1). Let m = 230 + x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -52, -103, -194, -337, -544?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -5. Let v(o) be the third derivative of -o**5\/60 + 5*o**4\/24 + o**2. Determine v(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + v - 605 = 0, -x = -3*x - 4*v + 614. What are the prime factors of x?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 minus -176298?\nAnswer: 176298.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 + 2 = 0. Suppose -u*k = -k - 96. Let s = 58 - k. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 39, 56, 73?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50703*z**3 - 34617*z.\nAnswer: 304218*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24252, -24159, -24004, -23787, -23508, -23167?\nAnswer: -22764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -12)*(-7 + 625\/90).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 - 605842280*q - 22940304264724900 = 0 for q.\nAnswer: -75730285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 159d7c (base 14) to base 11\nAnswer: 477a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -4) + 5 + -57 + 20 + (-22 - 15)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t - 3347 = 4*w - 3223, -2*w + 4*w + 22 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -18*u**5 + 2498*u**4 + 610*u**3 - 7458*u**2 - 6664*u - 1112 = 0.\nAnswer: -1, -2\/9, 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 4. Let h = f + 1.4. Let l = 14041 - 14036. Which is the closest to 0? (a) l (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-876)\/(-60) + -14)*(1 + 21\/(-36)). Let r be (-4)\/6 + 8\/6. Sort a, 0.1, r, 3.\nAnswer: 0.1, a, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 277*s**2 + 10*s + 74. Is z(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 - 64*d - 21. Let h(q) = -q. What is h(i(j))?\nAnswer: 4*j**2 + 64*j + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238691 - -2.\nAnswer: -238689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-36))**(-47) assuming o is positive.\nAnswer: o**(-1128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/8, 0.3, -6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 189 - 59. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-75))\/(136\/(-448)*-7)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 62*s**3 + 11*s**2 - 25*s + 20. Is z(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 10) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {v: 19, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 3. Let h be (-4 - 12\/(-8))*2. Let f(d) = d - 2. What is h*t(x) - 8*f(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**2 - 6*f + 530. Let m(d) = 2*d**2 - 2*d + 1. What is -3*m(k) + u(k)?\nAnswer: k**2 + 527","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*r - 4*r - 14 = 0, -r = 1. Suppose 0 = -0*q + 5*q - 5, -k*d = 2*q - 167. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7174435.\nAnswer: 5, 1434887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33521 = -386*r - 785*r + 96460 for r.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-6 + (-12 - -18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3 + 2*b + b + b + 0. Let u be t(5). Let i = -17 + u. Is 1\/2 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 169*t**2 - 4*t + 1. Let s be w(3). Suppose j - 12 = -9, 4*l + 3*j + 23 = 0. List the prime factors of l\/(-32) + 1 + s\/8.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 5*c + 26*k + 22 = 30*k, 6*k - 18 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -63501111.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 127*r**4\/24 + 21*r**3 - 41*r**2. What is the first derivative of l(g) wrt g?\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -47*d + 2. Is h(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*w - 21 = 0, -5*t - 9 = -w - 31. Calculate the smallest common multiple of t and (9\/(-5))\/(((-81)\/30)\/9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/13 + 470*t**2\/13 + 2734*t\/13 - 3206\/13 = 0 for t.\nAnswer: -229, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4999918 and 770.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 5, 0 in ascending order.\nAnswer: -40, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -9. Which is the closest to -1\/2? (a) -3 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182407\/12 + -15190. Calculate the common denominator of 2\/16*(-249)\/(-18) and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 31 = -2*l, -17*c = -22*c + 5*l - 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqnnnnqnqqq. What is prob of picking 4 q?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 - -285. Let i = 345 - p. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/24 - 15\/(-4). Suppose -x + p*x - 657 = 0. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443*t + 264282 = -716520. Calculate the remainder when t is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 27 - 12 = 0. Let g be 3*4\/(12\/m). Solve 3 - g = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 j when three letters picked without replacement from {c: 2, i: 1, j: 1, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - sqrt(63)))*2 + 1 + sqrt(448).\nAnswer: 1 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 12:16 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + g)*(-3 - 5 + 0) + 22 - 11 - 7*g - 14.\nAnswer: -15*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 589807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 151463 divided by -11651\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 5. Let q = 2 + 5. Let s be m(q). What is the second derivative of 6 - 5*k + s*k - 6 - 2*k**4 wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24186037609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 14) to base 7.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.00608 days to nanoseconds.\nAnswer: 7949325312000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129? (a) -3 (b) 3 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -965 divided by 75\nAnswer: -193\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 g when three letters picked without replacement from sgsisbhchishsbihb?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(9*f - 5*f + 6*f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.3 + 35.3. Let n(x) = -x**2 - 19*x - 42. Let z be n(-16). Which is the closest to z? (a) 5 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*q - 0*q - 11, -4*i - q = -30. Let f be 2*2 - i\/(-7). Solve 3*x = -20 + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1dc8 (base 15) to base 11\nAnswer: 4969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205.6 - 212. Let g = d - -6.2. Which is the third biggest value? (a) 44 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/36 and ((-14)\/16 - -6)*2\/(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.1. Let d = -2.43987 - -0.43987. Which is the closest to f? (a) d (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 20 = 2*o + 1, 3*n = -o - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1731788944?\nAnswer: 2, 108236809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - 2*(-38)\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9791264 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: Suppose 78 = 3*g + 9. Let o(w) = w**2 - w + 1. Let v be o(5). Solve 5*b - g = 3*l, 4*l + v = 4*b + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 2, -7882.\nAnswer: -7882, -21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 159977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) -5 (c) 0 (d) 3 (e) 7 (f) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10101010011101?\nAnswer: -10101010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74484*r**3 - 62491*r**2 - r - 2.\nAnswer: 446904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 11*z**5\/60 + 63*z**2\/2 + 3*z. Let o(g) be the first derivative of d(g). Let a(l) = l. Give o(a(k)).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5913971, -5913975, -5913981, -5913989?\n\"Answer: -f**2 - f - 5913969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**3 + l**2 + 5*l + 5. Let t(a) = -6*a**3 - 3*a - 3. Let y = 0 + 3. Let u(w) = y*b(w) + 5*t(w). What is the third derivative of u(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 34634884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.022 and -1.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -3.2. Which is the second biggest value? (a) -1.8 (b) x (c) -0.4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 43 - 51 = -70 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*49\/14*(-10)\/4. What is the highest common divisor of 70 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 13*n**4\/6 + n**3\/6 + n**2\/2 + 5*n. What are the prime factors of m(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - (-118 + 60) - (-30 + -1 + 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*c**2 + 204*c - 27216.\nAnswer: 4*(c - 21)*(13*c + 324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006092 rounded to 6 dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -77, -5, -54, -6, 4 in increasing order.\nAnswer: -77, -54, -6, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73 and 5.8.\nAnswer: 423.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 2}. Give prob of picking 2 v and 1 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.009673 milligrams in nanograms?\nAnswer: 6009673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/571, -2, 0.5?\nAnswer: -2\/571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((63\/(-5481))\/(2\/(-6)))\/(2 - 3).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 3*b**2. Let n be z(2). Let g(r) be the third derivative of -1\/12*r**n + 0 - r**2 + 0*r + 0*r**3. Let f(t) = -t**2. Give f(g(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967315.\nAnswer: 5, 7, 56209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.8. Let y = 63.99 + -62. Let i = -0.01 - y. Sort i, -1, o in decreasing order.\nAnswer: o, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.151 (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*r + 17 + 14, 0 = -2*w - 5*r + 9. Suppose 0 = -5*d + b + 42 - 1, -3*b - 35 = -4*d. Calculate the least common multiple of d and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74.82 + -69.82. Let w = 1 + -1. Which is the third biggest value? (a) 2 (b) w (c) y (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66548.1594 to the nearest 10.\nAnswer: -66550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 7*w**2 - 4*w - 3. Let p be z(6). Suppose s - 4*f = f + p, 0 = -5*f. Suppose -2*b = b - s. Solve 5*k + 3*d - b = 0, 0*k + 5 = 2*k + 5*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2330 - 3971. Let l = 1612.04 + j. Let y = -29 - l. What is y rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 26 = 199. Let y(x) = -4*x**2 - 5*x. Let l(r) = 4*r - r - r + 2*r**2. Let m(t) = p*l(t) + 4*y(t). What is the second derivative of m(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1402 (base 7) to base 2\nAnswer: 1000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10400141 times 42?\nAnswer: 436805922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17107957 to the power of 1\/2, to the nearest integer?\nAnswer: 4136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 42*c - 1788. What is h(23)?\nAnswer: 1294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30699)\/2274*(-6)\/63?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-693)\/28)\/(-33)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 116\/6 - 8\/(-12). Let z = s - -3. Solve -4*h - 3 = -z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*(6\/4 + -2). Suppose 22 - 10 = -4*m. Let r be ((m - 2) + 2)*(-26)\/(-39). Sort -7, r, b in descending order.\nAnswer: b, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26755 + 26740. Let u = 3 + -1. Sort u, o, -2 in increasing order.\nAnswer: o, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 29439.\nAnswer: 2943.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -48*s + 47. Is k(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 y when three letters picked without replacement from {f: 2, y: 1, h: 4, r: 2, n: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**2 + h. Give b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - -68. Suppose -5*v - 2*b + 126 = 0, -4*v + b + n = 3*b. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 23. What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(25\/40 - 1)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 12. Let j be 0\/(2 - l) + 17. Calculate the highest common divisor of j and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148327898 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*j + j. Let w be j\/(-21)*(-6)\/(-4) + 11. Suppose 10*r**2 + 8 - 6*r - 5*r**2 - 7*r**2 + w = 0. Calculate r.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from bljjbbzbbbblbbbj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 72318?\nAnswer: 72317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((40\/(-320))\/(5\/(-40)*1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158308 is divided by 78694?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 + (-4 - 1) - 67 - (-1029 + 1033)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 5*i - 8. Let r be v(7). Solve 16 = -3*m - m, m = 2*w - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -12*v - 4. Let d be u(-3). Suppose c + 127 = w + d, 384 = 4*w - 2*c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 6*s + 50. Determine y(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 7*x + 5. Let v be n(-7). Suppose -5*z + 75 = -v*b, 0 = 2*z + 2*z + 2*b - 30. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79719848.\nAnswer: 2, 13, 31, 79, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 9. Suppose -5 = d + v - 11, p*v = 12. Suppose w + a + 15 = 0, 6*w - d*a = 2*w - 67. What is w rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z + 9*z)*(4 + 0 - 2) + 2 - 2 - 4*z - 2*z - 17*z - 12*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q + 9. Let l(y) = -18*y + 28. Let h(i) = -7*d(i) + 2*l(i). Differentiate h(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23614762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -42 + (3 - -2 - (8 - (-20 - -28))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 1. Let y be s(-1). Suppose 5*v - y*v = -6. Let j = v - -9. What is the greatest common divisor of j and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/335027 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1680224 by -2308.\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 7.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1330409811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -518797013+0.6\nAnswer: -518797012.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/499?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1717, 1716, 1715?\n\"Answer: -w + 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -35. Suppose -13 = -2*u + 3*x, -2*u + 3*x = 3*u - h. Factor -2\/5*y**3 - 2\/5 - 6\/5*y - 6\/5*y**u.\nAnswer: -2*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566412021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6082*c**3 - 10162 wrt c.\nAnswer: 18246*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y + 75 = -40*y. Suppose 0 = -4*x + x - n - y, 3*x + 24 = 2*n. Suppose -4*k + 2*o - 30 = 0, 2*o = k - 3*k. Sort k, 5, x.\nAnswer: x, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*j**2 + 2)*(3*j - 6*j + 0*j)*(0 - 2*j + 0).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*o = -22, 3*r + 22 = -4*o - 9. Let s be 62\/10 + 1\/r. Suppose -p = -3*p + s. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k - 10. Let w be c(-3). Solve -w*y = -2*n - 5 - 5, -4*y + 12 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*2\/(-28) - (-55 - -55).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 35 - (26 + -42) - 76?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49, 194, 435, 772?\n\"Answer: 48*s**2 + s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 8*n + 4*n)*(-n - 2 + 5 + 4*n) to the form u*n + d*n**2 + t and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, -8, 0.08, 4, -2\/5463?\nAnswer: -2\/5463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 0.3 (c) -0.12 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/4*1*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 3245013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**2\/7 - 3158*a\/7 - 3156\/7 = 0.\nAnswer: -1578, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*v - 75728 = -14078 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*n + 3*y, -3*n - 728*y + 1480*y = 740*y - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -3.6. Let q = x + 1.5999987. Round q to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:34 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 32*m**2 + 235*m - 37. What is the remainder when 3583 is divided by j(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 a, and 1 y when four letters picked without replacement from {y: 4, a: 2, g: 2, z: 2, e: 4}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3850025 by 105.\nAnswer: 770005\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2442874700 rounded to the nearest 1000000?\nAnswer: -2443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 525800 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*4.0764142\nAnswer: -6.1146213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + f + 3*f)*(1 - 1 - 2) + 13*f + 100*f - 13*f + 31*f - 2*f - 6*f to the form c + u*f and give u.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 7, b: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddkkeodtddeedkdtdke. Give prob of sequence toe.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - k**2 + 2. Let q be v(0). Suppose -q*s + 2*t + 15 = -3, 5*s = -4*t. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 9234.1?\nAnswer: 9235.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -6)\/(-1 - (-6)\/2). Suppose 3*g - r - 175 = 0, 3*g + b*r = 2*g + 56. Suppose -g*m = -63*m + 70. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9cf5e - -5?\nAnswer: 9cf63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -19*f**3 - 11*f**2 + 2512. Let w(t) = -7*t**3 - 4*t**2 + 837. Give 4*c(x) - 11*w(x).\nAnswer: x**3 + 841","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w - 66. Let k be r(-18). Let o = 6 - 4. What is the units digit of (-996)\/k*(o - 1)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(10\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29303.01ns?\nAnswer: 29.30301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*i**2 + 3*i**4 - 131*i**2)*(202*i - 373*i + 187*i).\nAnswer: 48*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*b + 1352 = 1355, d - 2 = -2*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**5 - 1663*r**4 - 625*r**3 + 38110404*r**2 wrt r?\nAnswer: 60*r**2 - 39912*r - 3750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m - 374 = -221 + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/4 - 7*y\/4 = 0 for y.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j + j)*(-3*j + 0*j + j) + 9 - 20*j**2 - 9 - 4 - 9 + 0 - 2*j**2.\nAnswer: -26*j**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/((-3)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 + 79. Sort -5, y, 0, -2.\nAnswer: -5, -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110110111101010011 (base 2) in base 4?\nAnswer: -3312331103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*j - z, -2 = -5*j - 2*z + 1. Let u = 2 + j. Suppose 0 = 2*o - u - 37. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877545 is divided by 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*r - 74*r - 116*r - 46*r + 11*r**3.\nAnswer: 11*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 + -115.2. Let r = -15 - y. Which is the second smallest value? (a) 0.1 (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 + 5*u**2 - 3*u**2 to k*u**2 + m + x*u and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -4*d + 16, 3*d + 4 = 10*u - 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 902430600 divided by 1619\nAnswer: 557400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 324*z**2 - 95364*z + 3642300.\nAnswer: 4*(z - 75)*(z - 57)*(z + 213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24220 (base 7) to base 2.\nAnswer: -1100010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -1 - (-104 + 110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10308000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let z(b) = -b**2 + 8*b - 6. Let f(k) = s(k) + z(k). Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 196, 588, 1400, 2860, 5196, 8636, 13408, 19740?\n\"Answer: 38*c**3 - 18*c**2 + 180*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 40. Let z = p + 14. Suppose 0 = z*t - 8 - 7. Solve 5*n - 2 = -t*d - 4, -d = 2*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 44*d**3 + d**2 - 3*d + 2. Let m be z(1). Let f = 2932 - 2892. Solve -f*o + m*o = 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o - 96. Let g be ((-1)\/(-2))\/(2\/o). Suppose -w - w = 0. Solve 3*y - g = -w*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u**5 + 1239*u**4 + 18405*u**3 - 22974*u**2 + 3312*u = 0 for u.\nAnswer: -46, -24, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*0.079.\nAnswer: 0.01185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.89265606 rounded to 4 decimal places?\nAnswer: 4.8927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2086 and 2086 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1.15. Let h = 0.02 - a. Let s = h - -0.12999921. What is s rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:27 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -154\/9 <= -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 41, 66, 89, 110, 129, 146?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*d - 3*w = -406*d + 837*d + 7, 0 = 53*d - 3*w + 283 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1463045 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttfttfttft. What is prob of sequence ttf?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -0.5, 1\/2, -0.14, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 7*v - 9. What is c(-6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3)*3\/(-2). Let m = 27 - 15. Suppose -5*d + m = -2*b, -3*d - 2*b + b + 16 = 0. Solve 0 = 5*k - d*n - 7, -4*n = -t*n + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1553657 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 7*b - 6. Suppose 8*q - 10 = b*q. Find y, given that -y**3 + 0*y**q - 3*y**4 - y**3 - y**2 + 2*y**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*f + 42014 + 71890, -2*f = -4. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -1398*l + 1372*l. Solve -49*s + l = -52*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(-6 + 19)\/(-1). Let p be -1 + 8 - c\/13. Solve -4*v - p = -5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z + 5. Let p(b) = -b**3 - 5*b**2 + 5. Let u be p(z). Suppose -a = -3*g + 109, -51 = -u*g - 2*a + 116. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33458*b**2 + 1 + 33454*b**2 - 1 - 12*b.\nAnswer: -4*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 - 12*d + 12*d)*(d - 3*d + 4*d)*(12*d - 9*d + 5*d).\nAnswer: -80*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211001*r + 210235*r = 24512 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 11:45 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-5)*d*d*d**(-4)*((d*d*d**(1\/7)\/d*d)\/d*d*d*d*d*d)\/d**1 assuming d is positive.\nAnswer: d**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Let m(w) be the first derivative of -10\/3*w**3 + 7 + 0*w + 0*w**2. Give o(m(a)).\nAnswer: -200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306366 (base 7) to base 3.\nAnswer: -2200020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - u + 2*t + 18, t + 3 = 0. Calculate the remainder when 5 - 1 - (-19 + u) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*((p*p\/(p**(-19)\/p)*p*p)\/p)\/p)\/p)\/((p*p**(-10)*p)\/p)*((p\/(p*p**(-7\/2)\/p))\/p)\/p*p*p**(5\/9)*p)**(20\/3) assuming p is positive.\nAnswer: p**(6490\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/(-280) + (-2)\/(-20). Suppose p = 97*o - 86*o - 33. Solve -4*j - 20 = 0, -2*i - 20 = o*i + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b**2 + 1015*b + 9642. Determine m(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168127.37 + -167181. Let q = -954 + w. Let c = q - -7.62999673. What is c rounded to 7 decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10 - (-3 + 2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 344, 345, 346, 347, 348?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {a: 1, p: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {p: 13, w: 2, d: 2, o: 2}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 7854.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 18 = 5*k, 2*k + 10 = -4*a - 0*a. Let r = k - -8. Calculate the lowest common multiple of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-14)*(-175)\/50?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 923.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*x + 0 = 8, -7*y = 3*x - 11. Solve -2 = 2*j, 2*d + y*j = 7*d - 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33023 (base 4) in base 5?\nAnswer: 12341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54104 + -107?\nAnswer: -54212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 137 - 49. Let o be (-1)\/6 + 155\/30. Suppose -l = n + 7 - y, -395 = -5*l + o*n. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(832)*2)**2.\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 - -7) + -2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-28)*-4)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 27*u + 450. What is the ten thousands digit of p(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (25 - 49 - -27)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 731.996l?\nAnswer: 731996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -11*l**2 + 9*l. Let t(g) = 4*g**2. Let s(k) = k**2. Let u(q) = 6*s(q) - t(q). What is p(u(f))?\nAnswer: -44*f**4 + 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) - (sqrt(76) + -1))**2) + 1)*6.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 + 2*g + 1. Let c(k) = -k**2 - k. What is 2*c(l) - u(l)?\nAnswer: l**2 - 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.8 from -3694570329.\nAnswer: -3694570340.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 67 and -0.74 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163185310 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -11, 8, 59, 154, 305, 524?\n\"Answer: 2*z**3 - 2*z**2 - 9*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 v when four letters picked without replacement from vvbvvvvvvvbbvvvvvvb?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3090 - 24817\/8. Let c = x - -427\/24. Let a(l) = l**3 - 11*l**2 - 13*l + 18. Let z be a(12). Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2988 = -536*n + 12020 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 22450 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -782, -55\/3303, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucci when four letters picked without replacement from cfcfbbuoi?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -295*a**2*n - 3663*a**2 + 52429*a*n + 5299*a wrt n.\nAnswer: -295*a**2 + 52429*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {z: 1, v: 1, c: 4, y: 10, p: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 9 - 3. Suppose -2*q - 13 = -3*q. Which is bigger: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 50 and -697930.\nAnswer: -697880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1995337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q + t - 3850001, -5*q + 3849996 = -4*t. Round q to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(5*2*sqrt(245) + ((0 + sqrt(245))*-5)**2) + (1 + ((6*(sqrt(125) + 2*sqrt(125)) - sqrt(125)) + sqrt(125) - sqrt(125)) + 2)**2.\nAnswer: 790*sqrt(5) + 60634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(4 + (-2 + sqrt(5) + sqrt(5) + 0 + 3 - (sqrt(150)\/(sqrt(5)*1))\/sqrt(6))))**2.\nAnswer: 40*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(288) + sqrt(288)) - sqrt(288))**2*-2 + -3 - (-3*(sqrt(288) - (sqrt(288) + -3)*6))**2*1.\nAnswer: -114503 + 15984*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712469634 to the power of 1\/2, to the nearest integer?\nAnswer: 60930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1, 2\/19, -3307087, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -49 - (-11)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4590*p + 4588*p + 3 = -61*a, a + 4*p = 129 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 15, -1, 1 in descending order.\nAnswer: 15, 1, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {m: 7, t: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((2 - 2) + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/9)\/(1\/(-36)*3). Let v(f) = f**3 + 8*f**2 + 6*f + 7. Calculate v(j).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3768077130?\nAnswer: 2, 3, 5, 1229, 102199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1)*(-40)\/(-30). Let j(z) = z**2 - 6*z + 4. Let y be j(8). Let u be 8\/(-10) - a\/y. Let h(p) = p**2 + 2*p + 1. Calculate h(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2632053.6 months to millennia.\nAnswer: 219.3378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 80*s**2 + 48*s + 4. What is the hundreds digit of b(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {n: 7, o: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -4 + -7 + -20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-52)\/104).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 2, 4, -545 in ascending order.\nAnswer: -545, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - w + 4997 = -1847, x = -4*w + 2274. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79, 122, 171, 226?\n\"Answer: 3*g**2 + 34*g + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -22. Let t be ((-2)\/6)\/((-2)\/24). Suppose -4*z = -2*x + i, -t*x + z + 61 = -0*z. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 28*s**2 + 6*s + 7. Let m be w(5). Suppose t + m = n - 3*t, -3*t = 4*n - 3024. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by 1979844\nAnswer: 91\/989922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 196700931.\nAnswer: 983504655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 19 = -4*k, 2*j = 4*j - 2*k + 12. Let o(z) be the second derivative of z**3\/6 - z**2 + 2*z + 83. Give o(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -21*f. Let n(a) be the first derivative of 0*a + 139 + 11\/2*a**2. Give x(n(g)).\nAnswer: -231*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 328*o**2 - 11*o - 17. Let q(f) = 2*f**3 + 623*f**2 - 22*f - 33. Let v(h) = -19*c(h) + 10*q(h). What is v(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5392083.5 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.3, -2\/157, 12 in decreasing order.\nAnswer: 12, 0.3, -2\/157, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/11)*(f\/f**16)\/f*f**(4\/7)*f\/f**(-10\/7) assuming f is positive.\nAnswer: f**(-140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 62. Suppose -15*b = -57 - h. Solve -4*x = -2*l - 9*x - 15, -12 = -b*l + 4*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, r: 3, g: 5, i: 1}. Give prob of sequence rr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 8*c**3 - 18*c**3 + (-3*c + 11*c - c)*(6*c**2 + 3*c**2 - 5*c**2).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 1323.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 2*d. Suppose d*c - 8 = 47. Calculate the smallest common multiple of (-1)\/3 + (-50)\/(-6) and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r - 1568. Suppose -5*d + r = 82. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.7 to the nearest integer.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -405*n + 2. Let c(q) = -408*q + 3. Give 2*c(d) - 3*v(d).\nAnswer: 399*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*f**2 + 6\/7*f**3 - 6\/7*f**4 + 2\/7*f**5 + 0*f + 0.\nAnswer: 2*f**2*(f - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 33 - 12 + t)*(1 + 2 - 1).\nAnswer: 2*t - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 4*g**2 - 4*g - 3. Let p be k(-3). Let w = 3 - p. Let h = -55 - -55. Which is the closest to h? (a) -1\/3 (b) w (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1383176 and 29\/1901867.\nAnswer: 15214936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -10. Let p = u - 21. Let a(z) = -6*z + 2. Is a(p) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 63\/15 + 4\/(-20). Let l be 3 + 2\/(n + -6). Solve -l*o = -2 - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*q - 194, -2*c - 5 = 3*q - 94. Let g = -2590 - -2626. Calculate the lowest common multiple of c and g.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1) + 2\/(-4). Let b(v) be the first derivative of v**4\/4 - v**2\/2 + 1. Let d be b(-1). Is d at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/22606 and -15\/1016?\nAnswer: 90424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 719933165 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -30\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14958*k - 14958*k - 2513*k**3)*(k + 3 - 3).\nAnswer: -2513*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2452, -4899, -7350, -9805, -12264, -14727, -17194?\nAnswer: -19665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445094523?\nAnswer: 3, 29, 353, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12880 is divided by 12571?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.013 to one decimal place.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 15*q**3 - 2*q**2 + 11*q. Let j(s) be the third derivative of -s**6\/15 + s**5\/60 - s**4\/4 + 524*s**2. Calculate 6*h(t) + 11*j(t).\nAnswer: 2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 4. Let k be y(5). Let f = k + 2. Solve c - 4 = -f*x, 1 = 5*x - 3*c - 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -52*i**4 - 9*i + 3. Let f(k) = 105*k**4 + 19*k - 7. Let a(s) = 3*f(s) + 7*t(s). Find the second derivative of a(r) wrt r.\nAnswer: -588*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -994*a**2 + 6*a - 115. Let w(h) = 4973*h**2 - 31*h + 569. Let v(t) = -11*q(t) - 2*w(t). Find the second derivative of v(n) wrt n.\nAnswer: 1976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1021 + -1025. Let i = -6 + 1. Sort n, 6, i in descending order.\nAnswer: 6, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*r + 1)*(34 - 7*r - 34)*(-4 + 5 - 4 + (0 - 6 + 4)*(-2 + 0 + 0) - 1 + 2 + 7) to the form g*r + n*r**2 + o and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82714*q - 91 = 82721*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p. Suppose -3*f - 4*c - 6 = 0, -f - 2*c - 3*c - 13 = 0. Let v(o) = 33*o - 1. Let s be v(1). Let z(t) = 32 - s + t. Give f*w(y) + 2*z(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 1, t: 2, b: 2, m: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/8*8\/(-6). Factor 3*b**2 + g*b**2 + b**2 - b**3 - 4*b**2.\nAnswer: -b**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*z - 91*z + 54*z + 63. Sort 67, -4, z, 1, 2 in decreasing order.\nAnswer: 67, 2, 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) - (-94)\/8. Suppose 3*s + s - r = 0. Suppose -s*m = 4*i + i - 191, -m + 157 = 4*i. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 235, 842, 2025, 3976, 6887, 10950, 16357?\nAnswer: 23300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x**4 + 18*x**3 - 30*x**2 - 15*x + 15. Let j(g) = -g**4 + g**2 + g - 1. Let o(m) = -i(m) - 15*j(m). Solve o(d) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6060 divided by -202?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 21 + o**2 + 15 + o**2 + 9. Determine b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92178? (a) -2\/21 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/10*q**4 + 6492\/5*q**2 + 112\/5*q**3 + 4928*q + 4840.\nAnswer: (q + 2)**2*(q + 110)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 20*h - 31. Let r be j(-18). Sort -3, 4, r, 3 in ascending order.\nAnswer: -3, 3, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/92 and -62\/207?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + v + 5, 0 = -58*f + 62*f + 5*v + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13203 + -11?\nAnswer: 13132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d + 40*d - 4*s = 4, -19 = 3*d - s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -8*c + 38, 175*a - 97*a + 3*c - 9 = 79*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 28. Let d be j(15). Let s be d - 0 - (-21)\/7. Suppose -s = -k + 3*l, 9 - 61 = -3*k + l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853022621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -363. Let i = q + -292. What is the nearest to -1\/4 in -3\/2, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 1. Let d be n(0). Let i be (d - -2)\/(2\/10). Find the second derivative of 9*j - 13*j - 4*j**i - j**5 wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649 = -10*j + 689. Factor 0*g - g**2 + 1\/2*g**j + 0 + 1\/2*g**3.\nAnswer: g**2*(g - 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 37 = -5*y, -y + 2*i - 2 = 1. Put -2, y, 1 in descending order.\nAnswer: y, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42977098.\nAnswer: 2, 31, 693179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1991 + -4.8009. Which is the closest to 0? (a) 4 (b) -32\/7 (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/59 in 89\/5, -2, 44, 2.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(sqrt(65)*1 - sqrt(65)))\/(sqrt(10)\/(sqrt(6)\/sqrt(3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:49 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4 + 4)*(z - 11*z - 15 + 12*z).\nAnswer: 4*z**2 - 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -214*i**3 + 11*i**2 + i. Is 112 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 21*d = 81*d - 6342. Solve -20*x + 51 = d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 61, 4, -9 in ascending order.\nAnswer: -9, 4, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((154960\/894)\/520)\/(-2*3\/2016)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19893 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-68))\/(-9))\/(2*2\/(-16))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - n**2 + 3*n - n**2 - 3*n**2 + 3*n**2 + (-1 + 3 - 3)*(-3*n**2 + 3*n**2 + 2*n**2) + n**2 - 2 + 2 + 0*n**2 + 2*n**2 - n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - sqrt(304)*-2)*-3 - (6*(sqrt(931)*2)**2 + sqrt(931)) - ((-1*sqrt(475)*3)**2 + 2 + 1).\nAnswer: -26622 - 43*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 74778*c. Let i(b) = -2255*b. Determine i(u(d)).\nAnswer: -168624390*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -155*v + 82. What is the units digit of p(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/36*-14)\/(0 - (-8)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 25. Let w = 14 + -3. Calculate the remainder when 25 is divided by o(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9312 is divided by 2196.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 1. Let w(t) = -2416*t - 24. Let a(x) = 152*x + 1. Let z(s) = -16*a(s) - w(s). Let r(d) = d + 1. Let v be r(7). Calculate v*b(u) - z(u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 285, 428?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 24039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -702, -1394, -2086, -2784, -3494, -4222?\n\"Answer: -z**3 + 6*z**2 - 703*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96480187 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:29 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.504*-161\nAnswer: -81.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(3\/5 - 1). Let u = 228 + -227.6. Which is the fourth smallest value? (a) 2 (b) 1 (c) u (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/843 and 19\/12645.\nAnswer: 12645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -706, -1404, -2102, -2800, -3498?\nAnswer: -4196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -109, -110, -111, -112, -113, -114?\n\"Answer: -r - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015786687 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 6*w**2 + 6*w**2 - 4*w**2 in the form u*w**2 + q + f*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1009852904, 2019705810, 3029558716, 4039411622, 5049264528?\nAnswer: 6059117434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Let b = -98039 + 98046. What is the second biggest value in b, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/23? (a) 0.3 (b) 2 (c) -5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -150 + 450540?\nAnswer: 450370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 56 = -3*g. Suppose 0 = 3*x - 94 + g. What is the remainder when (0 - -2)\/(1\/34) is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - t = 9, 19*t - 14*t = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/(-1))\/(1\/11). Suppose -b = -z - 87. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5000*b. Suppose -13 = 4*z + 19. Let c be z*6*1\/8. Let q be t(c). Round q to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 48*w - 64. Let k be z(11). Let y = 84 + k. List the prime factors of y.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54261 and 516987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(-3 + 2 + 0)*(39*i + 6*i + 6*i) - 2*i + 3*i - 5*i in the form n*i + g and give n.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1643 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 720.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4688 + 388. Is 36 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 1 (c) -1\/15 (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1. Let h(j) = -3*j + 2. Let g be (7\/(-2 + 23))\/(3\/(-9)). Let y(v) = g*h(v) - 5*a(v). Suppose z + 4*z = -10. Calculate y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 4 - 7 + 0*i**2 + 1. Let m be h(2). Sort 0.1, -4, m in ascending order.\nAnswer: -4, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 10630*a - 10609*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -544a - -3?\nAnswer: -5447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 75, -1\/4, -0.2, 1.97, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -548*j**2 - j. Let h(q) = 13*q. Give b(h(z)).\nAnswer: -92612*z**2 - 13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/5*(-124)\/(-434)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*u**3 + 59 - 66*u**3 + 33 - 92.\nAnswer: 42*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 + 611765*y.\nAnswer: 611765*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(sqrt(1300)*-2)**2.\nAnswer: 78000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*((-24)\/20 - -2). Suppose 4*u + 2*g = -0*g - w, -2*g = 4. What is the third derivative of 8*y**6 - 76*y**2 + 0 + 69*y**2 + u wrt y?\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004293 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0180394 rounded to four dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 1 = -13. Which is the fourth smallest value? (a) 16 (b) -0.4 (c) f (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 9*q - 5. Suppose 3*c - 4*c - 28 = -4*r, 3*r - 4 = 5*c. Let h be j(r). Suppose 35 = -3*d + 6*d - w, 0 = -d - h*w + 25. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 4*t**2 - 2*t - 1. Let z be b(3). Let x = -514.11 + 511. Let p = -3.21 - x. What is the nearest to p in -3, z, 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -47. Let j(q) = 0*q + q + s*q. Let i(x) = -2*x**2. Calculate j(i(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189 + -5748.51217.\nAnswer: -5559.51217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*u = z - 3, 29 = 5*z - u. Solve -11 = z*k + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 14, 17, 20?\n\"Answer: 3*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - m + m - 50*m**3 + 47*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10850 - -24696. Let b = -1290757\/63 - -93085\/14. Let q = v + b. Calculate the common denominator of q and 107\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 2*k**2 + 2*k - 2. Let t = -5769 + 5791. Let h(j) = 5*j**3 - 11*j**2 - 11*j + 11. Suppose 4 = -4*n + 20. Determine n*h(v) + t*m(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5880 - -5880.3. What is the nearest to -2 in z, 3\/247, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2*1\/2 + (268 - -42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j - 3. Let s be k(2). Let f(n) = 5*n. Let i be f(s). Suppose -2*g + d = -63, 2*d = -2*g + 35 + i. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:15 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1645 - 120 = -5*q. Let c = q - -310. What is the greatest common divisor of 40 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173*-48301\nAnswer: -8356073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33763\/49 + 689. Let z = -65\/392 - n. Let u = -0.8 - -1. Which is the closest to 2? (a) -1 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3076, -2\/7, -5\/3, 5?\nAnswer: -3076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 10*k**2 - 8*k + 11. Let m be f(8). Suppose -5*p - d = -m, 3*p = 2*p - 4*d + 34. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -10 + 4. Let r be (-2)\/w + (-24)\/(-18). Factor -5*h - h**r - 10*h**2 + 8*h**2 - 2*h**2.\nAnswer: -5*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g**2 - 49*g**3 + 9*g**2 - g + 0*g**2 + 3*g**2 wrt g.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 333 - 7662\/23. Is 1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*p - 118*p + 2995 - 1051 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -0.14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**3 - 3 - 2*f**3 - 10*f**3 + 5*f**3 to the form r*f + x + q*f**3 + h*f**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -169?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -0.010591901.\nAnswer: 0.189408099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -164063649 divided by 54687883\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13863174 to 4 decimal places.\nAnswer: 0.1386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 + 14*r**2 + 17*r**2 + (-r - 1 + 1)*(-2*r + 3*r + r) - 5*r**2 + r**2 + 2*r**2 to b + g*r**2 + h*r and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 0.5, 0.017, -4.\nAnswer: -4, 0.017, 0.5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1132 + -1131.999994961. Round j to seven decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-5)\/(20\/(-3))). Suppose 11*s + 26*s - 37 = 0. What is the remainder when 86 is divided by (s\/t)\/((-3)\/(-132))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -28*v + 12*v. Solve 0 = -s + 5*h + 3, v*s + 7 = -3*s - h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7511*y**5 + 3490*y**5 + 717*y + y**2 + 6753*y**5 - y**2 wrt y?\nAnswer: 54640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 13*u**2 - 14*u - 1. Let t be f(14). Let g = t + 9. Calculate the highest common factor of 88 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.38 = 6.71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -22. Let i = 10 - q. Which is the closest to -2? (a) 0 (b) i (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 14*y + 41. Let u be b(-9). Does 28 divide 198 - 1 - (-4)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -22*r - 1152. Let p be o(-53). Put -3, 7, p in descending order.\nAnswer: p, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608613729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6508861\/3, -1\/5.\nAnswer: -4, -1\/5, 6508861\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -18, -47, -92, -159, -254, -383, -552?\n\"Answer: -h**3 + h**2 - 15*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let u(t) = -4*t**3 - 44*t. Determine 176*m(j) + 4*u(j).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-65)\/250 + (-7)\/(-28))*113 and -61\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 30036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(576)\/(sqrt(12)*2))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*c - 6. Suppose -5*r + c*q + 108 = 0, 20 = -0*r + r + q. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-2)\/1)\/2. Let l = -1 + o. Which is the second smallest value? (a) 0 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j - 9*j - 8*j)*(-5 + 2 + 4)*(3*j - 2*j + j) + 453*j - 20*j**2 - 453*j in the form h + q*j**2 + v*j and give q.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -831141 - -3?\nAnswer: -831137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -41*c + 0*c**3 - 30 - 30*c**2 + 1\/2*c**4. Differentiate l(u) wrt u.\nAnswer: 6*u**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-1)\/(3\/12) - -138. Suppose 0 = -15*m + 9*m + t. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + y + 4. Let j be u(0). Suppose -2*m - 19408 = -j*i, -5*m = -3*i + 33041 + 15465. What is m rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtztztgztztzztzztt. Give prob of picking 2 g and 2 t.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 25*u. Let c(g) = 5*g**2. What is n(c(r))?\nAnswer: 125*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10502376.\nAnswer: 2, 3, 37, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000044453792 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:15 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 + 3 = n, 3*a + 54 = 4*n. Suppose 2*k = -0*k + 2*i + n, 2*k + 4*i = -12. Factor -9*c**2 + 3*c**k + 4*c + 0*c**3 + 2*c**3 + 0*c.\nAnswer: 2*c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -25. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(550) + sqrt(550)*1*1 + sqrt(550))\/sqrt(11) - -1*sqrt(50)*-6*6)**2.\nAnswer: 217800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*b - 3, 3*y + 4*b - 229 = 0. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 o, and 1 r when four letters picked without replacement from {o: 2, f: 4, r: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18930 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 93612855?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5552077 is divided by 13608.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.360363 kilometers?\nAnswer: 2360363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 2*t - t)*(t**3 + 3*t**3 - 2*t**3) + 3*t**4 - 2*t**4 + 3*t**4 - 19*t**4 + 30*t**4 - 27*t**4 to q*t**3 + b*t**2 + w*t + x*t**4 + j and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 520866 to the nearest 1000.\nAnswer: 521000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 29*l**2 + 31*l + 88. Let o be u(-28). Let p = -55 - -53. Put 17, p, -5, o in increasing order.\nAnswer: -5, p, o, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*z + 526*z - 56 = 0. List the prime factors of -14 + z - (3 - 108).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 927*p + 1858. Let b be x(-2). Solve -5*u - 45*f + 49*f = 10, -2*u - b = -3*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f. Suppose 5*w - 12 = -y, 4*w - 1 = -y + 11. Calculate the lowest common multiple of o(-1) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -593 smaller than -591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -19*i**6\/60 - i**5\/60 + 6*i**2. Let d be g(-1). Let n = d - -18. Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k**3 - 41*k**2 - 40*k - 79. Calculate v(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16992550*x**6 + 4438*x**2 + 2*x + 3207.\nAnswer: 2039106000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 4*v**2 + 99. Suppose 0*w + 2*w - 10 = 5*r, -4*w - 4*r = 8. What are the prime factors of d(w)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/18*(-1692)\/(-2820)*(-2)\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = t - 4*t. Let c = t - -22. Let o(b) = 5*b + 6. Let f(y) = y. Let w(h) = 6*f(h) - o(h). Give w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -59. Let h be (5\/(-130))\/(1\/4). What is the biggest value in -1, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-84)\/56*(-10)\/3. Suppose -5*u + q*s = -295, 5*u - 4*s = 325 - 34. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - t - 3*t - 30, 15 = -5*t. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 11. Suppose -4*o + 3*c + 29 - 5 = 0, c = 2*o - 10. Suppose -5*z + q = 6*q - 40, -4*z + 53 = -o*q. What is the lowest common multiple of z and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 + x**2 + 2*x**2 + (3*x**2 + 2*x**2 - 6*x**2)*(1 - 2 + 3) + 4*x + 2*x**2 - 4*x + (4*x - 4*x + 2*x**2)*(-2 + 4 - 4) + 0*x**2 - 2*x**2 + 0*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(sqrt(24)\/sqrt(3)))\/(sqrt(216) + (sqrt(216) - -2*sqrt(216))).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + 12 - -7)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.05, -266158 in increasing order.\nAnswer: -266158, -3\/2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19331260?\nAnswer: 2, 5, 13, 149, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1175447 + -0.4\nAnswer: 1175446.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-11) - 240\/(-11). Suppose 0 = -k + 4, 0*k - 4 = -4*q - k. Suppose q = -3*w + 4 - r. Let g(o) = o**3 + 6*o**2 + 4. Calculate g(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1070*z - 4252. Give v(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**3 + 3*q + 0*q - 1 - 2*q**3 in the form a*q + s + p*q**3 + o*q**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*r**4 + 19034*r + 14070394 wrt r?\nAnswer: 204*r**3 + 19034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 20006420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukddddkdddkdduuk. What is prob of sequence dkdk?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/4 + 7*m**3\/3 - 8*m**2 + 12*m + 12. What is f in l(f) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 - 267*s + 963. Calculate d(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152113 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5084.952ml to litres.\nAnswer: 5.084952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -153113252 (base 6) in base 13?\nAnswer: -890a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*u = 3 + 22, -26 = 3*j - 4*u. What is the units digit of 1*-2*j\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 17. Let w be d(7). Let j(n) = 5*n + 3. Let z(r) = -r - 1. Give w*z(q) + j(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 773*p**2 - 2*p + 3. Let r(x) = 3*x**2 - 1. Calculate -j(l) - 4*r(l).\nAnswer: -785*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - -52. Let c = 4.4 - 0.4. What is the closest to h in c, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 - 46*z**2 + 38*z + 98. Let v be h(-16). Let k(w) be the first derivative of -5\/16*w**4 + 0*w**v + 0*w - 5\/6*w**3 - 8. Factor k(a).\nAnswer: -5*a**2*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2)**(-45)*k**(2\/15)*k*k**(-1\/2)*((k\/(k\/(k\/((k*k*k*k*k**(-3\/4))\/k))))**(-5))**2 assuming k is positive.\nAnswer: k**(-1153\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -1 + 3 + ((sqrt(9)\/sqrt(3) - sqrt(3)) + 3)**2 + (2*1*sqrt(192))**2.\nAnswer: sqrt(3) + 779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 516530 to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001392395 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 6*m**2 + 3*m + 4. What is j(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 - 3*l - 5. Let w(v) = v - 3. Let k be w(9). What is the remainder when (k + -8)\/((-2)\/19) is divided by c(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(102))\/(sqrt(768)\/sqrt(8)) + (3 + -2*sqrt(17) + sqrt(612)*-2)**2.\nAnswer: -341*sqrt(17)\/4 + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6035, 29468, 70297, 128522?\n\"Answer: 8698*t**2 - 2661*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 2. Let h be u(-4). Let t(g) = -2*g**2 + 0*g**h - g**2. Let s(q) be the second derivative of -q**4\/6 - 2*q. Give s(t(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 + 2. Let i = k - -0.2. Let p = 7\/8 - 47\/72. Which is the closest to -1\/3? (a) 0.4 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 19. Let m be p(7). Let z = -13 - -18. Sort 17, m, z in increasing order.\nAnswer: m, z, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-5 - -4) + (1 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 12*v**2 - 10*v + 14. Suppose -3 = -3*b, -3*s + 0*b + 4*b = -710. Let t be (-2)\/(-6) - s\/21. Let h be k(t). Let j(g) = -g**2 + 4. Give j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.76 * -1.6.\nAnswer: 1.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 25106144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(s*s**(-2\/37)))\/s)\/s)\/(s*s**(-1\/16)*s)*(s**2)**21)**(-46) assuming s is positive.\nAnswer: s**(-532611\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111101 + 10?\nAnswer: -1100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.71 - -143.71. Let p be (-1)\/4 + 36\/(-432). Is g bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 14 (b) 1\/4 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 1 - 1)*(-7 - 1 + 1)*(-2 - 2*l**3 - 1 + 1) + (28 - 4 + 30)*(-19*l**4 - 11*l**4 + 11*l**4) to h + p*l**4 + y*l**2 + u*l**3 + f*l and give p.\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1662*x - 664 + 336 + 844*x + 327 + 808*x.\nAnswer: -10*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**3 - 16*d**2 + 50*d + 60. What is a(7)?\nAnswer: -2432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:58 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 7. Let f be c(-7). What is the second derivative of -4*b**4 + 6*b**4 + 0*b**4 + 4*b + f*b wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1156259833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = -29*a + 24*a. Let j = 132 + a. Suppose j = 3*d - 108. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**5\/540 - b**4\/72 + b**3\/3 + 37*b**2 - 146*b. Let x(z) be the first derivative of l(z). Determine v, given that x(v) = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -595*l - 981.\nAnswer: -595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l**2 + 16*l**2 - 10*l**2.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -31. Suppose -m*v - 3 = -7. Solve -2*y - 4 = v*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5187 - 1415285?\nAnswer: -1410098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y**2\/4 - 38979*y\/4 - 7797\/2.\nAnswer: 3*(y - 2599)*(5*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -387*z**3 - 164493 wrt z?\nAnswer: -1161*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*h + 115520, -161*h - 5*j + 144330 = -156*h. Is 78 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1175595 and -1.432?\nAnswer: 1175596.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 112505 (base 8) in base 10?\nAnswer: 38213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 3*c. Let r(a) = -a**3 + 3*a**2 + 11*a - 6. Let t(x) = o(x) + r(x). Let k = -16 + 23. Give t(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3367 + 3377. Solve 2 + 25\/2*m**2 - k*m = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c. Let u(n) = -35*n**2 - 5. What is u(i(h))?\nAnswer: -2835*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -35*(-2 - 48\/(-20)). Let x = -12 - h. Solve x*k = -3*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**2 + 131390*s - 525480 = 0.\nAnswer: 4, 26274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 7*b - 1. Let s be z(-3). Let v be (s\/(-30))\/(5\/(-20)). Let m = 0.68 + 2.32. What is the closest to 1 in 0, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -7. Let d be -6 - (18 + -21 - 38\/(-10)). Is i greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/16 or -0.03639?\nAnswer: -0.03639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 25*a - 101. What is j(0)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011010 (base 2) in base 8?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27473 + -165253\/6. Is s at least as big as -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*b + 2*b**2 + 2 + 0*b**3 - b**4 + b**3 - 2*b**3 to z*b + h*b**4 + t*b**3 + q + g*b**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4332 and 198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.251973 - 4.\nAnswer: -6.251973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14*r**3 + 12*r**2 - 9. Let x(b) = -21*b**3 + 19*b**2 - 13. Calculate -8*f(z) + 5*x(z).\nAnswer: 7*z**3 - z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 8:33 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 54*o + 3*o**2 - 23*o - 16*o + 4. Let a be p(-6). Suppose -2*i - 5*m = -253, 263 = 2*i + m + a. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568036, -1136073, -1704110, -2272147, -2840184, -3408221?\nAnswer: -3976258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = g + 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(21)\/(1*sqrt(192)) - (-3 + sqrt(63)\/(-6*-2*sqrt(9))).\nAnswer: -2 + sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (276\/483)\/(((-3)\/(-3))\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274964?\nAnswer: 2, 53, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5850369, -5850370, -5850371?\n\"Answer: -i - 5850368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*f + 2*f - 1563, 3*f - 2340 = 3*q. Suppose -4*s + 3*t = -783, -s = -5*s - t + f. What are the prime factors of s?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 + v**2 - 2*v + 1. Suppose -2*c + 1022 = 2*t, 4*c = -t + 3*t - 1052. Let z = t + -515. Determine q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**2 - 4*y**5 - y**5 + 2*y**2 wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:34 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13791830947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 3)*(13 - 48*a - 13).\nAnswer: 336*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 44*s - 52 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Suppose -5*j - 101 = -4*l, 2*l - 55 = f*j - 6. Suppose -3*g + l = -40. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*b**2 - 4 - 2*b)*((0 + 2*b + 0)*(3 - 4 - 1) + 6*b - 3*b + 0*b).\nAnswer: 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 19. Suppose 0*l - 3*l = -u. Let p(c) = -5*c**2 + 0*c**l + 2*c**2. Let o(r) = 2*r**2. Determine o(p(b)).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w + 78. Let n(x) = 6*x + 88. Let f(h) = 8*n(h) - 9*t(h). Let r(k) = 3*k**2. What is r(f(d))?\nAnswer: 27*d**2 + 36*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -36*l - 861. Determine v(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -20 - 5 + 225*n + 20. What is the units digit of v(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a - 18. Let b be l(21). Let j = -167 + b. Solve -10 = -x + 3*x + j*f, -2 = x - f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6*j + 5*f = 8, 0 = j + f - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2572 - -2576. Put p, 0.2, -4\/7, 6 in decreasing order.\nAnswer: 6, p, 0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.065304.\nAnswer: -0.0261216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 3:50 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 2*q**2 + 13. Let d be h(-5). Let k = d - -64. Determine v, given that 4*v - 47*v**3 + 94*v**3 - 44*v**3 + 12*v**k + 5*v = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 37*n**7\/42 + 13*n**3\/2 - 36*n. What is the second derivative of h(k) wrt k?\nAnswer: 740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -10) + 30 + -41?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*l + 1 + 2*l + 41*l + 2*l + 0*l + 0*l + (1 + 0 - 3)*(-4*l + 3*l + 0*l).\nAnswer: 82*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*t + 4*t. Let x be 0\/(-4 + 5 + -2). Suppose x = -4*o - 7*a + 3*a, 0 = -3*o - a - 8. Sort t, 3, o in increasing order.\nAnswer: t, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4652.\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79698907?\nAnswer: 17, 4688171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*v - 4*v + 28, z - 12 = -2*v. Solve 4*f + 5 = -5*m + 9*f, 4*f = -z*m + 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77318 divided by 38659.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90517 + 90522 - 70*x - 37*x**2 + 749*x**2 wrt x?\nAnswer: 1424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 7) to base 14\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/27 of a day?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * -5.25\nAnswer: 0.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 34*z**2 - 128*z - 114. Determine b(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - -6 - (-2 - -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-9))\/(395\/1422)*(-2)\/18.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/45)\/(2092\/(-9414)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 13*b**2\/2 + 1. Let k(u) = -35*u. Let o(s) = -66*s. Let z(g) = -19*k(g) + 10*o(g). Calculate f(z(c)).\nAnswer: 65*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -134*m - 5. Let q be h(-4). Let s be 2\/(-1) - q\/(-45). Let a = s + -713\/60. What is the common denominator of 49\/8 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342 (base 6) to base 2\nAnswer: 10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230102 by 13.\nAnswer: 230102\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 11 = -5*g + 11, 0 = 3*b + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680434 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23112\/24 + (-10)\/(-2). What is b rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 368 - -1a4a7?\nAnswer: 1a831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - f = -42 - 57, 0 = -4*f + 12. Let r = 53 + k. Suppose -r*v + 8743 = 2*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1497, -2999, -4519, -6063, -7637, -9247, -10899, -12599?\nAnswer: -14353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w - 1254 + 1027 = -4081. Calculate the greatest common divisor of 6439 and w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 11. Let l(s) = -4028*s**3 - 477*s**2 + 5247. Give 2*l(p) + 954*q(p).\nAnswer: -8056*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -143?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1510 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1022 - -506?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 11425 in increasing order.\nAnswer: -3, 0, 11425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3*f**3 - 11 + 5)*(0 + 2*f + 0) + (0*f + 4*f - 5*f)*(-4*f + 4*f + 2*f**3).\nAnswer: 4*f**4 - 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Suppose 5*o = 4*f - 37, 3*o = -4*f + 2*f - 9. Suppose i - 5*j = 2*i - 20, -4*i + 2*j + 14 = 0. What is the biggest value in i, u, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8271*m + 55 = 8256*m + 5*o, 4*o = -m - 25 + 121 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.039 - 0.439. What is the second biggest value in -1, -2.6, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/9, 6\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 3*w**3\/2 + 35*w. Let v(t) = 3*t + 5. Let u(d) = 8*d + 12. Let q(h) = -5*u(h) + 12*v(h). Give q(b(i)).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 442*c. Let n(p) = -1594*p**2. Calculate b(n(f)).\nAnswer: -704548*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 - (2 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g - 40*g + 2280 = 0. Solve 34*y + g = -15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 43101 + 16*l + 43101 + 7*l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.23 + -0.73. Let d = 3.03 - 0.03. Which is the second smallest value? (a) d (b) -9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 198. Let p = 225 - 189. Suppose 0 = o + p - q. What is the greatest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {e: 6, o: 1, l: 4, b: 1, x: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025703915?\nAnswer: 5, 405140783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 - 26 + 2*q + 10*q**3 - q**3 - 3*q**3 as b*q + t*q**2 + u + z*q**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 61\nAnswer: 5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**3\/6 + 925*m**2\/2 + 855625*m\/2 - 749. Suppose y(p) = 0. Calculate p.\nAnswer: -925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6406 + 42362?\nAnswer: 52101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43\/52 - 1\/13. Let l = -1.416 - -1.316. Which is the closest to -1? (a) l (b) s (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10\/9)\/o*o*o**(2\/19)*o*o*o*o*(o*o**(4\/3)*o)**(2\/107) assuming o is positive.\nAnswer: o**(55924\/18297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 + 15411?\nAnswer: 15408.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 k when four letters picked without replacement from {f: 2, k: 10}.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*c + 5*q + 3, -3*c - 3*q = -9. Solve -l + c = 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36091*t = -36609*t + 1036 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*t**2 - 77*t**2 + 2 - 3 - 1 + 5*t**2 + 33*t**2.\nAnswer: -152*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 295, 573, 827, 1045, 1215, 1325, 1363?\n\"Answer: -2*j**3 + 292*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-31)\/3)\/((-8)\/96). Suppose v - 25 = -3*s, v + s - 29 = -0*s. What is the greatest common divisor of v and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*t - 12 = 0, 0*s = s - 2*t + 8. Let h = -19 + 20. Let u = -1.18 + 1.38. What is the biggest value in -4, s, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 - 7*f**3\/3 - 5*f**2\/2 + 2*f + 1. Let m be c(-6). Let b = -92 + 89. Sort 3, b, m.\nAnswer: m, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3200102212 + 11?\nAnswer: 3200102223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**4*(p\/p**1)**(2\/11) assuming p is positive.\nAnswer: p**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-2 - -1)*1. Let w be 3 - 1 - 6\/n. Let d = 15 - w. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25846500, -25846499, -25846498, -25846497, -25846496, -25846495?\n\"Answer: x - 25846501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 404 - 402. Solve -l*u + 17 = 5*p, -u - 2*u = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15*(-294)\/28?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) 1\/3 (c) 2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -71\/2. Let i(d) = d**3 - 12*d**2 + 11*d - 2. Let v be i(11). Let a be v\/12*(-4 + 7). What is the closest to a in -0.4, n, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76906, -75775, -73888, -71245?\n\"Answer: 378*q**2 - 3*q - 77281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*m**2 + 26*m + 147*m - 148*m**2 - 173*m.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5700 + -5718. What is the biggest value in -0.3, 0.2, s, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*p - 744 = -323*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -1142442013?\nAnswer: -1142442034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6829 and 0.4507311.\nAnswer: -6828.5492689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -89, 2\/15, 5, -9\/4, 2\/9?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/31 (b) 0.062 (c) 4\/9 (d) -3 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005850939 to six decimal places.\nAnswer: -0.005851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/84)\/((-462)\/(-616)). Suppose -x*t**2 - 8\/7 + 10\/7*t = 0. What is t?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 372 - 239. What is the greatest common divisor of v and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 11*j + 3. Let i be d(11). Solve 0 = 34*s + 31 + i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 2*m, 5*i + 4 = 4*i + 2*m. Suppose 35 + 53 = i*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 3)*3 + 87. Let k be 2*-4*9\/(-24). Is (u\/(-8))\/(k\/(-4)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10393 take away 1?\nAnswer: 10392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1778467\/3870 + 898\/645. Let m = w - 457. Find the common denominator of m and 67\/116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Suppose -2 = 5*i + g*u, -u - 1 = 3*i - 4. Let b be 2\/(3\/i - 1). Solve 0 = -3*j - 0*v + 3*v + 6, 2*v - 14 = -b*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*1269\/(-648)*-3.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 1\/2*k**3 + 6*k + 1\/20*k**5 + 0 + k**2 + 1\/3*k**4. Give w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f + 19*f - 44*f)*(-2*f + 2*f + f).\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**3 - 2*d**3 + 4*d**3 + (-5*d + 1 + d**2 - 1)*(2*d - 4*d + 0*d + (4*d - 3*d + 0*d)*(1 + 2 - 5)) in the form j*d**3 + r*d**2 + b*d + x and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22.14*2.8\nAnswer: 61.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 0.22 (c) 6403 (d) 1 (e) -0.5 (f) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 577 - 581. Let n = 1 + -2. Let y = -3 + n. What is the nearest to 0 in k, 2, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -204, -335, -492, -675, -884?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 14. Let b(p) be the second derivative of -p**3\/6 - 5*p**2\/2 - 9*p + 1. Give 17*b(s) - 6*d(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 19.9243.\nAnswer: 16.9243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 12 - 28 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64011 is divided by 5321?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 30341141 (base 5) to base 16\nAnswer: 3c295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92\/55 - -14\/11. Which is the third smallest value? (a) 0.01 (b) 0.3 (c) 4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/5)\/i*i*i**0)\/((i**0\/i)\/(i*i\/i**(-6))))\/(i**2*i*i**(-3)*(i\/(i\/(i**7*i)))\/((i*(i\/i**(-2\/3))\/i*i)\/i)) assuming i is positive.\nAnswer: i**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/5)*r))\/(r\/r**(-16\/5)) assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + u - 1099997 = 0, 2*i - u + 185197 = -254800. What is i rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 15451.9866ns?\nAnswer: 0.0000000001788424375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*j - 4 + (-22 + 5 - 8)*(0*j + 5*j - 3*j) + 4 - 4 + 2*j.\nAnswer: -50*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92893, -185752, -278611?\nAnswer: -371470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10 + 9 = 2*f, 2*p + 3*f - 12 = 0. Let s(m) be the third derivative of 7*m**4\/24 + m**3\/6 - 41*m**2 - 2. What is s(p)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/5 - (-25 + 20). Which is the closest to -5? (a) -4 (b) 4 (c) -1\/12 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 - 5.7. Sort o, 0.1, -4 in increasing order.\nAnswer: -4, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1990056 divided by -995028.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 5*z. Let a(j) = j**2 - 4*j - 6. Let k be a(-6). Suppose -3*x + 128 = 5*q, 3*q - 5*x - k = 50. Let b be 66\/(-14) - 8\/q. Calculate c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 41. Let u = j + 28. Suppose -5*p + 4*w - 6 = 0, 3*w - u*w = -20. Calculate the greatest common divisor of p and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 782*j**3 + 843*j**3 - 1626*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 118535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/151640935 and -57\/5.\nAnswer: 151640935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0*q**3 + 3 - 138*q + 78*q - 13*q**2 - q**3 + 90*q. Let a be h(-15). Solve 0 = -0*u + a*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*s + 4, -8*x + 1 = -4*s + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 815, 16, 2, 0 in ascending order.\nAnswer: -1, 0, 2, 16, 815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*a**3 - 1985*a**2 - 790*a.\nAnswer: -5*a*(a + 79)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -1 - 1. Let k = -0.1 - -0.03. Let n = 2.93 - k. Which is the nearest to j? (a) n (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-14)\/(-18) + -1)*465\/(-62). Put -26, 0, 4, n in descending order.\nAnswer: n, 4, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 25*s + 995. Give n(-40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-75))\/((-17)\/(-510))*(-4)\/(-16)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**4 + 6645*c**3 + 189180*c**2 + 882020*c - 2574000 = 0.\nAnswer: -1300, -22, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*15835.\nAnswer: -3167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 24 + 11 = 0. Suppose n*y = 3*y + 16. Factor -7*s + s - 4 - 4*s**y + 8*s**2 + 6*s.\nAnswer: -4*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l - 2*l - 686598 + 687333 = 0 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -130*r**3 - 5*r**2 + 53*r + 117. Is c(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4*4\/32). Suppose 4*s - 2 = -2*w, -9*s + 10 = -y*s + 5*w. Let i(o) = 4*o**2 - 4*o**2 + o - o**2 + 1. What is i(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2 + 7*a - 4. Let u(v) = -5*v**2 - 6*v + 3. Let w be -4*(-16)\/24*3\/2. What is w*u(s) + 3*r(s)?\nAnswer: -2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*r**3 - 2152*r**2 + 2152*r**2.\nAnswer: 699*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.32636 + -0.366363. Let u = 0 - 0.04. Let k = l - u. What is k rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2)\/((-12)\/2). Let k be (-6)\/(-1 - (6 + -6)). Suppose 0 = -2*q + 3*u + 1, -q = -4*u + k*u - 11. What is the closest to 1 in q, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/3043089?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -43 + 2 + 0 + -4. Let b be -3 + x\/(-5) + -4. Suppose 7*w - 207 = -b*w. Solve -4*l + w = 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 18*j**2 + 6*j - 5. Calculate the remainder when a(9) is divided by 1*17 + 0\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 707 - 1412 + 705 + 11*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 76, 2, -2, -0.1.\nAnswer: -2, -0.1, 0.5, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6384 + 8224 = -115*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Suppose -4*n + 6 + 36 = o, 0 = n + 5*o - 1. List the prime factors of (3 - (f - 2))*n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4028 and 3.3?\nAnswer: 13292.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90718821?\nAnswer: 3, 10079869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3416 = -l - 3*s, -2*l - 4*s = -7*l + 17023. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + (sqrt(68) - (3*sqrt(68) + 5)) + ((sqrt(68) + 4)*1)**2 + (sqrt(68) - (2 + sqrt(68))) + 1 + sqrt(68)*-2*1.\nAnswer: 10*sqrt(17) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239879, 239880, 239881?\nAnswer: 239882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -49 * 0.05637\nAnswer: -2.76213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*m = -14, 5*r - r + 5*m - 18 = 0. Let h(y) = -2*y**r + 0 + 0. Let c(p) = 29*p. Let i(x) = -14*x. Let k(l) = -3*c(l) - 7*i(l). Calculate h(k(o)).\nAnswer: -242*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.089 not equal to 4.9382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -212, -248, -280, -308?\n\"Answer: 2*n**2 - 42*n - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -4 in decreasing order.\nAnswer: 8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(144))\/(sqrt(36)\/sqrt(108)) - (1*sqrt(384))\/((sqrt(32)\/sqrt(2))\/sqrt(8)).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4617 is divided by 287?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(8\/2)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -2*b**7\/63 + b**6\/15 - b**5\/30 - 9*b + 30. Factor r(p).\nAnswer: -2*p**3*(p - 1)*(2*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 30. Let y be (-4)\/6 - 8\/(-3). Let z be -1 + 2\/y*0. Which is the second biggest value? (a) z (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54*f**2 - 2 + 2 - 340*f**2)*(-32 + 19 + 25)*(-2 + 4 - 1) to the form v*f**2 + g*f + a and give v.\nAnswer: -3432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 534115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -0.5, -1, -2\/7 in ascending order.\nAnswer: -1, -0.5, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63\/16? (a) 5 (b) 0.2 (c) -2\/17 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.202 + 93.798. Let n = 417.6 - 512. Let w = b + n. What is the nearest to 41 in w, -1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 - d + d)*(-35*d + 38*d + 19*d) + d**3 + 2*d - 2*d to the form x*d**3 + w*d**2 + z + s*d and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6539, -6571, -6625, -6701, -6799?\nAnswer: -6919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 19. Suppose -3*g - 47 = 2*c - 3*c, 0 = -2*g - 5*c - 3. Let h be 3\/6*(-4)\/g. What is the smallest value in i, h, 3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 457 - 151. Let f be z\/54 - (-2)\/6. Suppose 519 = f*w - 777. Calculate the highest common factor of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.86879 millilitres to litres.\nAnswer: 0.08286879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a86 + -23?\nAnswer: 2a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 785366945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 1 = 5*r, f - 43*r + 39*r - 17 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -35524*h**3 - 3*h**2 - 1. Let x be i(-1). List the prime factors of x\/56 - (-2)\/(-7).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122803329 divided by -6?\nAnswer: -40934443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/2725282 and -83\/132760166?\nAnswer: 929321162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 3, t: 1, a: 1, f: 1}. Give prob of picking 1 d and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 1, r: 8, y: 4, c: 2, i: 3}. What is prob of sequence yc?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7826994 and 282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 0 + (5 - 7). Suppose m = -3*g - 2*g + 80. Calculate the smallest common multiple of (-20)\/(-6)*(3 + 0) and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221827367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 250 - 1944. Let n = u - 185. Let q = 74 + -36. Calculate the highest common divisor of q and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -223, -439, -635, -799, -919, -983?\n\"Answer: 2*v**3 - 2*v**2 - 224*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 8) to base 12.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -605618 divided by 13\nAnswer: -46586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2efc56 (base 16) in base 12?\nAnswer: -1045b86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 20229870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50457*c**2 - 50456*c**2 + 136*c + 150*c - 272*c.\nAnswer: c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 74673*u + 74681*u - 149416*u. Let g(m) = -39*m - 1. Determine g(d(n)).\nAnswer: 2418*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r - 3*w, -2*r - 6*w = -3*w - 10. Find x such that 6*x**2 + 0*x**r + 4*x - 4*x**2 - 5*x - x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*(i*i**5\/i)\/i*i*i*i\/i**(2\/23)*i assuming i is positive.\nAnswer: i**(228\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972434240?\nAnswer: 2, 3, 5, 7, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 333762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 1120240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*b + 709*b = 288 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/(-20) - 3\/(-5). Suppose 2*b + 1 = y. Let u(m) = 0*m + m + b*m + m. Let j(z) = 3*z. What is u(j(q))?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1926*v**6 - 13*v**2 - v + 5?\nAnswer: -231120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 54 - ((-6)\/16 + 1)\/((-288)\/(-4608))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020233 (base 5) to base 6.\nAnswer: -410440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 1. Let x = -4 - -3. What is the remainder when w(x) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1518\/5)\/((-9234)\/1215) + 11\/(-209)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 71*l**3 + 2*l**2 + l + 3. Let k be -5*4\/60*-6. Is b(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 57 = -9*w. Calculate the remainder when w is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 235.6 - 235.2. Put 4, 1, f, -1\/3 in decreasing order.\nAnswer: 4, 1, f, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6))\/(-1)*0. Let u = x + 5. What is the second derivative of -4*j - 10*j**u + 14*j**5 - 6*j**5 wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949421113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 5*u = -5*k + 14, 4*u - 13 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5842805*l**2 + 2745740*l - 322580 = 0 for l.\nAnswer: 254\/1081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 303037990 a multiple of 3165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 13 = 4*z, 3*v = -5*z - 2*v + 20. Is z\/(1\/(-3))*19444\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 - 584840*j\/7 + 6433482\/7.\nAnswer: -2*(j - 11)*(j + 292431)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4952 + 4956. Calculate the remainder when 1198 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7148, -28226, -63364, -112568, -175844, -253198, -344636?\n\"Answer: -g**3 - 7024*g**2 + g - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -33 - 30)\/32.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + w**2 - w - 20. What is f(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039743 is divided by 86633?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5988 by -6.\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 32*j**2 + 59*j + 24. Calculate i(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 80, 98, 118, 140, 164, 190, 218?\n\"Answer: k**2 + 15*k + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/6*5)\/(30\/(-360)). Which is the second smallest value? (a) y (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156 + -148. What is the lowest common multiple of o and (-4)\/(-6)*(-9)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 353410 to the nearest 1000.\nAnswer: 353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -63 times -3\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4349 - 4333 = 4*d, 0 = -5*z - 2*d + 38 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*s + 3*s - 6*s)*(1 + 2 - 1) - s - 2*s + 4*s in the form y*s + q and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 763509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50455201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - 178776238.\nAnswer: -178776237.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21 - (7 + -16))*(-716)\/(-10)?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11893 is divided by 1465?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7696, -32329, -73896, -132397, -207832, -300201?\nAnswer: -409504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 2*z + (7 - 5 + 5)*(1 + 2*z - 1))*(0 + 2 + 3).\nAnswer: 65*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172025 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/709520 and 131\/1320?\nAnswer: 23414160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13425 is divided by 121?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72159498269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*i + 2*i - 2*i)*(-3 + 4 + 1) to the form l + p*i and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaabaaaaabba. What is prob of sequence ab?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 753984 and 37400.\nAnswer: 18849600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n - 24 = 0. Suppose 3*g - n = g. Let t = -1.1 - -3.1. Sort g, t, 4 in ascending order.\nAnswer: t, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + f**2 - 5*f - 2. Let d be (-3 + -1)\/2*1. Let c(m) = m + 1. Let n(x) = d*c(x) - p(x). What is the units digit of n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631569410?\nAnswer: 2, 3, 5, 18128549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/5 + 133\/10. Let i(f) = -f - 16. Let s be i(-16). Calculate the common denominator of (s + (-42)\/8)*(-312)\/72 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l - l - 20 + 2*l - l. Is 5 a factor of b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**9\/30240 - o**8\/2520 + o**7\/504 - o**6\/180 + 19*o**5\/12 + 59*o**2. Let u(n) be the third derivative of z(n). Factor u(a).\nAnswer: 2*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -110100 (base 2) to base 12\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 1, w: 1, h: 5, u: 4}. Give prob of picking 2 d and 1 h.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*w - 26*w + 30*w.\nAnswer: 74*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 51639826.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 5*f**2 + 321*f - 1297. What is j(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151640, -151068, -150496?\nAnswer: -149924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9*i*i*i*i*i*i**(-11\/4)\/i*i*i*(i**(-3\/8))**(-4\/31) assuming i is positive.\nAnswer: i**(1525\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 12 - 22. Find the second derivative of -3*x + 4*x**5 + 2*x**3 - 2*x**3 - 2*x**b wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-21)*(-6)\/(-8). Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/8275 and -27\/50.\nAnswer: 16550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-26) + 8\/(-52). Let c(t) = t**2 + t. Let k be c(o). Suppose 3*h - 105 = -k*h. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121324882 is divided by 333?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 26700015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*(-15)\/12*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10011011100001011 (base 2) to base 12\nAnswer: 3a0b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169650 = 7406*l + 8094 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(64)\/(sqrt(8) + sqrt(128)))**2*1.\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g + g - 339 + 650 - 377. Let p be r(6). Let z be 1*5*(-1 - -2). Solve -k + 23 = -z*a, p*a - 8 = 2*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73566, -147159, -220782, -294435, -368118?\nAnswer: -441831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2944087 is divided by 1942.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 64, -4, -53, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2004*o + 171*o - 2471*o = -410*o - 136290 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:21 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(110)\/sqrt(2))\/sqrt(11) + -1 - (3 + (sqrt(60)\/sqrt(3))\/sqrt(4)).\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -14*t**2 - 6*t. Let w(r) = -29*r**2 - 13*r. Let m(f) = -13*n(f) + 6*w(f). What are the prime factors of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1259 + 1258. Is s greater than or equal to 1\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -443 - -234331?\nAnswer: 233444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -870, 0.4, 3 in increasing order.\nAnswer: -870, -87, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10536.916 take away 91104?\nAnswer: -80567.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**24\/(i\/((i**(-3\/13)*i)\/i)))**(13\/3) assuming i is positive.\nAnswer: i**(296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let f(g) = 2*g + 1. Let k(x) be the second derivative of -x**3\/6 + x**2\/2 - 144*x + 1. Calculate r*f(u) - k(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*(-12)\/2. Suppose -5*b + 4*p - 2*p = -355, -5*b + s*p = -355. Let l = -70 + b. What is the smallest common multiple of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/50 and 32.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40050)\/76095 + (-2667)\/(-4959)?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 23*f = 6187. What are the prime factors of f?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6, 4.13, -2\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {w: 2, y: 2, b: 2, z: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 divided by 113?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -36018 (base 9) in base 7?\nAnswer: -130121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/2*(-120)\/(-100)*2\/(-24)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and -17680.88.\nAnswer: -3359.3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, -878, -1\/3 in descending order.\nAnswer: -1\/12, -1\/3, -878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 2 = -3*p + k, 0 = -3*p - k + 12. Let s = 40 - 34. Differentiate -5 + 4 + s*y + p - 2*y with respect to y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/7)*n**(-4\/11)\/n*n**(-14)*n*n*n**(-1\/4)*n assuming n is positive.\nAnswer: n**(-4017\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-2))\/((-16)\/32). Let b be ((-56)\/(-21))\/(g\/(-36)). What is the greatest common factor of b and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*(-2*(sqrt(84) - sqrt(84)*-2) + (1*sqrt(84)*-4 - sqrt(84))))\/(((sqrt(72)*2 - sqrt(72))*-6)\/sqrt(6)*-2))**2.\nAnswer: 847\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 + 152. Suppose z*j - 73 = -13. Solve 4*f + j = -2*g - 8, 0 = 5*f + g + 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, -17, -168, -497, -1064, -1929?\n\"Answer: -10*r**3 + r**2 + 34*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -4) + -1 + -30. Let i = -35 - -62. Let n = i - l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**5\/20 - 7*w**4\/12 - 5*w**3\/3 + 11*w**2\/2 + 2*w - 8. Let n be f(8). Which is greater: n or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -13*s + 20, -n + 8*s = 7*s - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**3\/2 + p**2\/2 + 3*p - 1. Let d(l) be the first derivative of n(l). Determine d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-2) - 4 - -1. Suppose 273 = 4*t - d. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + k**2 + 4*k - 4. Let y be h(3). Let g be (-2)\/(-5) - 26\/y. Let c be 1\/g*3 - 4. Sort c, 3, 5.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3 + 3*d**2\/2 + 10*d - 28. Let u(x) = 5*x**2 + 5*x + 19. Calculate -7*i(o) + 4*u(o).\nAnswer: -o**2 - o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (19 + -20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*u**5 + 18*u**4 + 2944*u wrt u?\nAnswer: -2220*u**3 + 216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose 4*z + m = 6 - 15, -4*z + 3*m + 11 = 0. Calculate the smallest common multiple of 3*3 + -2 + z and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ecjeeccecjcjcjj?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*j - 51450 = 369*j + 98*j for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -8*h + 89. Which is the third smallest value? (a) -1\/4 (b) -6\/11 (c) -0.01 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -2189, -0.2, -2, -4?\nAnswer: -2189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 627 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 1. What is v(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (692 - 77*s - 76*s + 136*s - 193 + 286)*(-3*s + 2*s - s).\nAnswer: 34*s**2 - 1570*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.03 - -0.03. Suppose 0*p + 5*p = -45. Let q be 9 + p + (-6)\/10. What is the third biggest value in -2, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 45*z**2 - 3*z - 8. Let a(c) = -90*c**2 + 5*c + 16. Let r(p) = -3*a(p) - 5*h(p). Is r(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b - 8. What is the lowest common multiple of 7 and (-60)\/42*b*-1?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2971, 2985, 3011, 3055, 3123, 3221, 3355, 3531?\n\"Answer: y**3 + 7*y + 2963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a**2 + 5*a + 4. Let s(x) = -x**3 + 3*x. Let t be s(2). Give p(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:02 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b**3 + 29*b**2 + 9*b + 20. Calculate a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12897*j**2 + 11003*j**2 - 4381*j**2 - 3018*j**2.\nAnswer: 16501*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2446290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 2273*f + 4633*f + 17 - 2360*f.\nAnswer: 7*f**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 2*i)*(3*i**2 - 3*i**2 - i**2)*(48 - 48 + 18*i**2).\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -62. Which is smaller: m or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1153 + 939 + 148)*(0*s**4 - s**4 + 3*s**4).\nAnswer: 4480*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-90)*2485\/(-284)*12\/63\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 70280\nAnswer: -3\/17570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-568))\/((-4)\/16)*158\/474?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/40 + o**5\/60 - 4*o**2. Let c be w(1). Suppose c*h = 178 - 34. Calculate the greatest common divisor of 24 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(448)).\nAnswer: -24*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 12*o**2 - 13*o - 27. Let c be w(-11). Sort c, 2, -7.\nAnswer: -7, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -b04a?\nAnswer: -b045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*j = 274662 + 366875 + 546001. What are the prime factors of j?\nAnswer: 11, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/5 + 1228206*b**2\/5 - 8597393*b\/5 = 0?\nAnswer: 0, 7, 1228199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from xxxjhjxhxxhhhhjjhx.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12291, -24165, -36039, -47913?\n\"Answer: -11874*z - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - sqrt(77)*-1)*2*-1)\/((sqrt(63) - (sqrt(693)\/(sqrt(11)*2) + sqrt(63)))\/sqrt(9)) + 4)**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6069.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 211634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 213?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 116664*r - 66991520.\nAnswer: -4*(r - 28580)*(r - 586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**3 + 127*m**2 + 151*m - 3619. Calculate i(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 5*x - 7. Let n be 10\/32*4*-4. What is s(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/24*5\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09, 1\/31, -0.037707, 3\/7?\nAnswer: -0.037707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/615 and -167\/72912.\nAnswer: 14946960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4768 is divided by 882.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:11 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1716 + 43?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 500 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(78) - (sqrt(78)*2 + sqrt(78))*-3)\/(2*sqrt(384)) + (sqrt(117)\/sqrt(3)*-2)\/((sqrt(12) + sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(4)).\nAnswer: -91*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9844 - -12179. What is the remainder when o is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0 - (111 - 118)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**5 + 0*f**3 - 9*f + 0*f**3 + 3*f wrt f.\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260791249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007526118145 to 6 dps.\nAnswer: -0.007526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 977773 to the nearest 10000.\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 - 2*y + 13. Let j be (0 - -1)\/(6 + (-55)\/10). Let c(t) = -3*t**j + 5 - t + 2*t - 11. Give -9*c(v) - 4*w(v).\nAnswer: -v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136795768.\nAnswer: 2, 79, 263, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 u when three letters picked without replacement from {c: 17, u: 3}?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*s - 2*u, 3*s - 12 = 5*u + 15. What is the tens digit of (-1356)\/(-26) + s\/(-91)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*s + 3, 2*n + 3*s = n - 13. Let r = n + 4. Solve 3*u + r*u - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1294.565 and -71594?\nAnswer: 72888.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*s = 35, 16 + 2 = m + 3*s. Let f be m\/(-9) - 269\/3. What is f rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -3 - 26 - -8) + 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -11\/24*z**4 + 0*z + 0 - 1\/35*z**7 + 0*z**3 + 0*z**5 - 10*z**2 + 0*z**6. Find the second derivative of b(y) wrt y.\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*r + 85*r + 103*r - 10*r**2 + 1 as o + p*r**2 + c*r and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(3\/8))**(-21))**(6\/7))**(-2\/3))**(-2\/41) assuming v is positive.\nAnswer: v**(-9\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3216 divide 858218544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-6)*(-55)\/(-198)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 6*a + 3. Let p(j) = 10*j**2 - 17*j + 8. Let n(o) = 2*p(o) - 7*q(o). Let y be n(7). Suppose -y = -k - 4. Do k and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 49 = o + 4*v, -51 = -3*o - 3*v. Let p = 69 + -43. Calculate the greatest common factor of p and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 0. Let c(r) = 5*r**3 + r**2 - 6*r + 7. Let f(b) = 23*b**3 + 7*b**2 - 30*b + 34. Let i(h) = 14*c(h) - 3*f(h). Determine i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*i - 28, 4*i - 20 = -0*i - h. Let m = 10 + i. Suppose 5*d = -4*o + m, d - 4*o - 1 = -3. Put -5, -1, d in ascending order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*((-18)\/(-15))\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*x - 9 + 10 = 0, -22*w + 7*x - 2*x = 71 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1278*r + 1419*r + 5217 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hho?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) + sqrt(88) + (sqrt(88) - 1*sqrt(88))*2))\/(sqrt(72)\/(sqrt(9) - sqrt(9)*4)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001 - -11?\nAnswer: 11111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 106*d + 533. What is k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -65369\/19 <= -3439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101101 - -110120?\nAnswer: -220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(242) - 6*sqrt(242)*1 - ((sqrt(242)*1 + 1)*4)**2) + -2.\nAnswer: -3893 - 429*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15065316?\nAnswer: 2, 3, 7, 191, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(2*y + 0*y + 0*y) + 36*y - 5*y - 5*y + 2*y + y - y - 3 + 3 + 2*y + (-y - 2 + 2)*(-4 + 2 + 0).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1514 and 4495823?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*n**2 + 2*n**2 + 0*n**2)*(-2*n**2 - 2*n + 2*n) + 403*n**4 - 188*n**4 - 327*n**4 in the form y*n + p*n**2 + i*n**4 + x + b*n**3 and give i.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence biz when three letters picked without replacement from {d: 2, n: 1, i: 6, z: 3, b: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/1449)\/((-70)\/(-5670)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 265702342 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, -103, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4689 = 8*v + 4793 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijq when three letters picked without replacement from jriicibiqccir?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2990.624 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 768789.9ng in kilograms?\nAnswer: 0.0000007687899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-120)*8*-5*(-12)\/(-184)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25290 is divided by 247?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -29*j - 2. Let g be q(2). Let p be ((-18)\/g)\/((-2)\/4). Which is the third smallest value? (a) -4 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15685954327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 4*h. Let j be v(-3). List the prime factors of j\/(12\/740) - 1.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0 - 2\/3*u**3 - 5\/2*u**2 + 11*u. What is the first derivative of j(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.42395 times 14\nAnswer: -61.9353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 326418084 = 14568084. What is a rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 268, 449, 112, -1001, -3148?\n\"Answer: -43*z**3 - z**2 + 485*z - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -121, -232, -377?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1366446 and 318?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 10, -2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6*m + 5, 260 = 2*w - 4*m. Calculate the highest common factor of w and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2736 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(5)*-2) - sqrt(2))**2 - sqrt(16)\/sqrt(128).\nAnswer: -sqrt(2)\/4 + 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*j*k**2*w*y**3 + j*k**2*w + 4*j*k*w*y + 2*j*k*y**3 - 3*j*w*y**3 + k**2*w + k*w*y**2 + k*w*y wrt k?\nAnswer: -214*j*w*y**3 + 2*j*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97290 and 1017221?\nAnswer: 91549890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55)*-2*-1*5)\/(sqrt(44)\/sqrt(4)*-6 + -3*sqrt(396)).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2329*l + 76 = 2310*l - 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.33*-21.\nAnswer: -27.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f - 2*d = -6, 3*f = -2*d + 3. Suppose 0 = -2*l - x + 270, x = f*l - 2*x - 396. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1750, -3499, -5248, -6997, -8746, -10495?\nAnswer: -12244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -11 + 2765\/175 - (-2)\/10 and 583\/11 - (-1)\/(-1)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6637*d**3 + 559024*d**2.\nAnswer: 39822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -311. Let n be 4\/6 - z\/(-15). Which is smaller: n or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (3 + 0 + -1 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3 - 3. Suppose 0 = -8*o + m*o + 4*z + 159, 2*o + 4*z - 86 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/(-25) + -4 - 745\/(-900). Let l(j) be the second derivative of -1\/2*j**2 + 0 - 11*j - y*j**3 + 1\/72*j**4. Factor l(r).\nAnswer: (r - 3)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -141901.3 to the nearest one thousand.\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -365*s**4 + s - 370*s**4 - 3*s**3 + 742*s**4 + (2*s**3 - 2*s**3 + 2*s**3)*(2 - 2 + s) + 5*s**4 + 0*s + 0*s.\nAnswer: 14*s**4 - 3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 2:21 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92259 and 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 2059476*b**2 + 265270199436*b + 46359234886300.\nAnswer: 4*(b + 175)*(b + 257347)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 4*h + 5*h + 2*h**2 - 4*h + h**3 + 4. Let x be (-39)\/12 - 3\/(-12). Let l = -1 + x. Give j(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49678*k + 49678*k + 9*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*y = 4, -19846*y = -5*f - 19850*y - 62 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -24*n - 7. Let h be 2\/(27\/12 + -2). Solve 5*d - n = 2*r + h, 2*r - 4*d + 14 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9272 at least as big as 9276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 68 and 55.28209359.\nAnswer: 123.28209359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14914 or 14918?\nAnswer: 14918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 920 (base 14) to base 8\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 2. Let p be (-64)\/(-10) + 2\/(-5). Let g = 6 + -3. Suppose p*w - g*w - a + 9 = 0, 0 = 4*a. Determine q(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75560*a**2*y**2 - 2*a**2 + 25*a - 100*y**2 + 5*y + 362 wrt y.\nAnswer: 151120*a**2 - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (740\/100 - 7)*(-10)\/94?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 144 = -16 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39857 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4828 to the nearest one hundred.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:24 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 175257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 63 - -38) + -12 + 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(847)*2 + sqrt(847) + (sqrt(847)*-2 + sqrt(847))**2 + 3 - (-4 + -5 + (-5 + 3 + sqrt(7))**2).\nAnswer: 103*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-247*n - 4940 + 754*n - 250*n - 259*n)*(6*n**2 - 3*n**2 - 2*n**2).\nAnswer: -2*n**3 - 4940*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.54 - 1.4. Let m = 1 - 0.64. Let t = w + m. Put t, -5, 0 in increasing order.\nAnswer: -5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7\/10)*(q\/(((q\/(q*q**(-14)*q))\/q*q)\/q*q))\/q assuming q is positive.\nAnswer: q**(-137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6\/7)*y*y)\/((y**2*y)\/y))**(-9\/2)*(y**(1\/3))**42\/(y**3\/y**3) assuming y is positive.\nAnswer: y**(125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48708 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 27*u - 33. Let s be c(-12). Solve -5*w = -t + 7, -s*w = 4*t - 2 + 20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2052 and 6048.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33133 + -33129. Let k(b) be the second derivative of -b**5\/20 + b**4\/4 + 5*b**3\/6 - 2*b**2 + 2*b. Give k(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 14.484486.\nAnswer: 43.453458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5 - 9*p - 13 - 12*p + 8. Is t(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2. Let s be b(-2). List the prime factors of (-579)\/(-7) + ((-60)\/(-14) - s).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/10 + 1\/(-1). Let v = -10.94 + 15.94. What is the closest to -0.1 in -1\/4, l, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((20*26\/(-104))\/(-45))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1.2 (b) 2677 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from sbslsslssssllllllss?\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 2554252?\nAnswer: 2554261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-16500)*-75*-1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100.4 - -102.4. Let r = -1 - 1. What is the second biggest value in r, -4, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 10*m**2 - 4. Let x be o(-10). Let l(v) = 123*v + 9. Let w(f) = 984*f + 72. Let u(h) = x*w(h) + 33*l(h). Is u(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 6:26 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000883871 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/6)\/(4\/18). Let g = -312 - -343. Find the third derivative of 44*w**2 + g*w**2 - 7*w**6 - 12*w**z - 94*w**2 wrt w.\nAnswer: -2280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from {z: 12, o: 1, w: 7}?\nAnswer: 308\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3517098 divided by -4038.\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 18*s**2 + 21*s + 17. What is the remainder when l(17) is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2030.907 - -2030. Let j = o + 0.847. What is the closest to -0.1 in 3\/5, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168139183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1677)\/13 - (-2702457)\/20907.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*c - 2*c - 5*r, 4*c = r + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67898392 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 - 326590*f**4 + 1306322*f**3 + 979766*f**2 - 3265804*f - 2612656 = 0. What is f?\nAnswer: -1, 2, 4, 163291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 15 - 70. Suppose 0 = -z + h + 3. Let q = -4019 + 4045. Calculate the remainder when q is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 21*m - h + 13 = 0, -m - 7 = -4*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1248 + 1234. Which is the third biggest value? (a) i (b) 28 (c) -3 (d) 2\/11 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1083757 or -1083752?\nAnswer: -1083752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-13) + (-8)\/(-52). Let f be 30\/18 - p\/3. What is the tens digit of (4\/4)\/(f\/34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3 - 7 + o - 1\/2*o**2 - 1\/4*o**4. Suppose 0*f - 3*f = -i - 11, -3*i = 5*f - 9. What is z(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(108) + sqrt(3) - sqrt(3))*-4) + -5.\nAnswer: -5 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*t - 483, 3*h - 11*t = -10*t + 483. What are the prime factors of h?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13 = 5. Let t(c) = 8*c**2 + 6 + 0*c**2 + c - 7. Is t(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - 2904*o**3 + 1456*o**3 + 1451*o**3 + 2*o - 4 + (41 - 41 + 7*o)*(3*o**3 + 0*o**3 - o**3).\nAnswer: 12*o**4 + 3*o**3 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**2*m**(8\/7)*m)\/((m\/(m**(-2\/21)*m))\/(m\/(m*m\/(m\/(m*m\/(m\/(m*m*m\/m**(2\/53)))*m*m*m*m)))*m)) assuming m is positive.\nAnswer: m**(-6583\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -77*g**2 + 2*g. Let a(s) = 3*s. Calculate a(h(x)).\nAnswer: -231*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7.7. Let i be 13 + 5 - 180\/9. What is the closest to -7 in q, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/6, -3, -0.12 in descending order.\nAnswer: -0.12, -13\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13534)\/(-15 + 17 + -4)?\nAnswer: 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5 + (sqrt(1377) + 1*sqrt(1377)*3 - sqrt(1377)) - (-2 + 2*sqrt(1377) - (sqrt(1377) + 2*sqrt(1377)*6))) + -2)**2.\nAnswer: 1260*sqrt(17) + 269913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24939*k**3 - 65*k - 71 wrt k?\nAnswer: 149634*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s\/(s\/s**(-6\/7)*s))**(3\/7)\/((s\/s**(-1))\/s*s**(1\/2))**(-2\/41) assuming s is positive.\nAnswer: s**(2853\/2009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/(-6))\/((-39)\/52))\/(-4 - 808\/(-208))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -11 + (26 - -10) + -21?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554949 - -0.2.\nAnswer: 554949.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n + 50. Give r(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 3*h**5\/20 - 7*h**4\/2 + 45*h**3\/2 - 839*h. Suppose t(z) = 0. What is z?\nAnswer: 0, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from rubbs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2995 or 2992?\nAnswer: 2995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31760, 127034, 285810, 508076, 793820, 1143030, 1555694?\n\"Answer: -2*r**3 + 31763*r**2 - r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/7)\/((-2)\/14). Suppose -3*f + s = -5*g + 16, -f - 2 = -3*g. Which is smaller: 6\/13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = -5*z + 35, j + 5 = 0. Suppose z*f - 45 = f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-4) + 39\/9. Which is the biggest value? (a) t (b) 1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 8*a**2 + 10*a + 7. What is m(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-6))\/(2\/1113). Let u = 880 + h. Let n(j) = j + 20. Find the common denominator of n(0) and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 - 4 - 11*d - 14*d.\nAnswer: -25*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 16. Let p(m) = 2*m. Let z be p(1). Suppose z*t - 3*w = 6, 0 = s*t + 3*w + w - 52. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001010111111101100010 + 0?\nAnswer: -11001010111111101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 4*i. Let t = -1201 + 1196. Let d = -14 + 14.1. Which is the nearest to d? (a) t (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 192, 14, -31 in decreasing order.\nAnswer: 192, 14, 5, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38422020014\/182 - 1\/13. What is f rounded to the nearest 1000000?\nAnswer: 211000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/90 + -57*(-1)\/5 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*s**4 - 1 + 0*s**2 - 5*s**3 + 2*s**5 - 2*s**2 + 5*s**3 wrt s?\nAnswer: 120*s**2 + 384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11028*v**3 + 204*v**5 + 11028*v**3 + (2*v**4 + 4*v**4 + v**4)*(v - 6*v + 3*v) + (-1 - 2*v**5 + 1)*(2 + 2 - 5).\nAnswer: 192*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(95) + sqrt(95)*1*-3)\/(-1*sqrt(10)\/sqrt(2))*3 + -1.\nAnswer: -1 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - 29. Let k = w + 117. Solve -5*i = -0*i - k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)\/(5 + -6 - 0). Solve t + y*t - 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17318)\/(-266) + 4\/(-38). Suppose -t = -4*z - p - 0*p, 0 = -z - 4*p + 35. Let k(d) = 14*d + 15. What is the tens digit of k(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 36 - 13*v**3 - 37 + 18*v**3 + 2*v in the form x*v**3 + s*v**2 + t + p*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 8*w**2 + 7*w + 11. Let z = 451 + -445. Calculate f(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 34487334*r**2 + 137949288*r.\nAnswer: 3*r*(r - 11495774)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*w + 747, -4*i - 2*w + 241 = -353. Suppose -3*o + o - 3*c = -i, 0 = 2*o - c - 135. What is the remainder when o is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*o + 3021 - 3021 + (0 - 2 + 1)*(-4*o + 4*o - 3*o) + 0 + 2*o + 0 + o + 2*o - 4*o + (-3*o - o + 2*o)*(2 - 2 - 1).\nAnswer: -44*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = -7. Let s = 179 + -174. Suppose -2*j = 0, 10 = -2*n - j - 2*j. Put 3, n, f, s in descending order.\nAnswer: s, f, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 146, 339, 610, 959, 1386, 1891?\nAnswer: 2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 1. Suppose 3*y - g + 15 = 0, 32 = 4*g + 8. Let n(t) = 3*t**2 + 16*t + 4. Determine y*b(p) + n(p).\nAnswer: 3*p**2 + 19*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11112111122 (base 3) to base 15.\nAnswer: 1b6db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/(-25) - (-6)\/(-4). What is the second biggest value in x, 0.3, 24\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*c + 10, -2*a + 11 = 4*c - 3. Suppose -3*w + 2*j + 131 = -0*j, 0 = a*w + j - 201. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + v + 2*v + (5 - 4 + 0)*(-2 + 2 + 2*v) - 206 + 310 - 2*v - 209 in the form p + h*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4641016026 and 191?\nAnswer: 4641016217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9824 - 1656 + 1377 + 4721)*(0*q**2 - 2*q**5 + 0*q**2).\nAnswer: -28532*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven sixteenths of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -4093, -577 in increasing order.\nAnswer: -4093, -577, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from jjinjjpmjpmjjpmm?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3099, -4495, -8283, -15663, -27835, -45999, -71355, -105103?\nAnswer: -148443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 44, 62, 96, 152, 236, 354?\n\"Answer: a**3 - a**2 + 4*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.67? (a) 4\/3 (b) 0.65 (c) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - g = -648 - 213, 5*s - 4*g = 2133. What are the prime factors of s?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335718 and 1674.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193.55 - 2.45. Let s = r + 237.2. Round s to zero decimal places.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2580 (base 10) to base 5.\nAnswer: 40310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2981 in -2\/9, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41255644, -41255646, -41255648?\nAnswer: -41255650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 108\/24*2\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - m = 6 - 11, -2*l + m + 11 = 0. Solve -2*k + p + 9 = 0, 17 = -l*k - 8*p + 3*p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 29 - (1035 - 1090)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38136*m**2 + 2913*m - 4?\nAnswer: 76272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-25)\/(v**(-1\/5)\/v*(v*v**0\/v)\/v)*v**(-2\/9)\/(v\/v**5)*(v**(-1\/4)*v)\/(v\/v**(-4)) assuming v is positive.\nAnswer: v**(-4189\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 47 in decreasing order.\nAnswer: 47, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11) + 1*sqrt(176)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -24, -138, -474, -1134, -2220, -3834?\nAnswer: -6078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 9, -5\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 7, -0.052?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10860279577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40575, 40632, 40689, 40746, 40803, 40860?\n\"Answer: 57*o + 40518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 13. Suppose 8*k + 75 = o*k. What is the tens digit of (14\/(-5))\/(3\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/3 and -54\/1501.\nAnswer: 4503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(4*(sqrt(156)*2 - sqrt(156)) - (sqrt(156) - sqrt(156)*1)*2)\/(sqrt(108)\/sqrt(144)*1))**2.\nAnswer: -239616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12716, 50858, 114426, 203420, 317840?\n\"Answer: 12713*y**2 + 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + o + 4. Let j be v(0). Suppose -2*t - 4 = -j*t. Let b = 1.006 - 0.006. Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 665 + -664. What is the smallest value in j, -146, -4?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16\/8375 - -832411\/33500. Is t at most 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(((a**8\/a*a)\/a)\/a)*a**(-7)*a**(1\/42)\/a*(a\/a**(-28))\/a assuming a is positive.\nAnswer: a**(631\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)\/(s**(1\/10)*s))\/(((s*s*s\/s**(-4\/3))\/s)\/(s*s**(-3)*s)) assuming s is positive.\nAnswer: s**(-553\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 + 11*u + 7. Let s(o) = 2*o**2 + 6*o + 4. Let p(f) = 3*d(f) - 5*s(f). Let g be p(-2). Suppose -72 = -g*t - t. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 289 - 288.693. Let a = -0.305797 + g. What is a rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + -2*sqrt(567))**2 + ((sqrt(567) - (sqrt(567) + 1 + sqrt(567) + sqrt(567))) + 5)**2 + 3.\nAnswer: -36*sqrt(7) + 4569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/2*16\/(-20). Let x = h - 2. Let j(s) = -2*s**2 + s**3 - 6*s + x*s - 2*s**2. Determine j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.412528 plus -4063595?\nAnswer: -4063612.412528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 18. Let y = 79 + -554\/7. What is the third biggest value in a, 0.1, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 175 = 20*p. What is the remainder when (-3)\/15 - (-4137)\/p is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 922*o**7 + 2719*o**3\/3 + o**2 + 248. Find the third derivative of z(b) wrt b.\nAnswer: 774480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1301 - 439*q**2 - 1301 - 841*q**2 + 229*q**2 in the form t + a*q**2 + d*q and give a.\nAnswer: -1051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - -122c?\nAnswer: 123b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + 1360*b**2 - b - 56*b**3 - 1371*b**2 + 57*b**3 to f*b**3 + a*b**4 + x*b + t + s*b**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 495\/4*z**2 - 107*z - 4*z**4 + 242*z**3 + 61\/4 = 0.\nAnswer: -1, 1\/4, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 7:55 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2315 + -734. What are the prime factors of a?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15200845?\nAnswer: 5, 11, 313, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*z - 52*z - 416 = 55*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 - 0?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*v + 50 - 50 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 603675*a**2 + 19915830*a.\nAnswer: 5*a*(a + 33)*(a + 120702)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 356803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54051, -53974, -53847, -53670, -53443, -53166, -52839?\n\"Answer: 25*a**2 + 2*a - 54078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3400506*i + 2118281*i - 1931113*i + 1142800*i.\nAnswer: 4730474*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126.43 at least as big as -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 12) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o**3 + 3*o**2 + 7*o + 7. Let a(j) = -j**3 - j**2 - j - 1. Let z(u) = 28*a(u) + 4*s(u). What is the third derivative of z(k) wrt k?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -303, -3, -2, 137, 4 in increasing order.\nAnswer: -303, -3, -2, 4, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -4, 47, 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40 + 22 + 29 - 12*j**2 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6 = 14, -b + 1 = -o. Let n = 17 + b. Let q be 2 + 1 + (-1 - 0). Calculate the greatest common factor of q and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 6*w + 3. Let o be a(6). Suppose -o*j - 12 = -j. Let l = 8 + j. Solve -l*q = 7 + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (336\/(-64))\/(3*4\/(-64)) and 44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 5*b - 15, 2*b = -20*g + 25*g - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 7*h = -4770. Let o be 26\/22 + (h\/66 - 5). Solve -b + 3 = o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*2426066.\nAnswer: -126155432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 7:25 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Give l(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 303381689?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2162 is divided by 215?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*j + 17024 = 790*j for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400 + 3*a**2 - 853 + 1253.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/30 + 32\/(-240). Suppose o = -18*m + 1568 + 4282. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 2*i - 3*i + 0*i + 4*i + (2*i + 4 - 4)*(-2 - 1 + 5) + 2*i + 0*i + 0*i)*(-2*i**2 - 2 + 2)*(-3 - 4 + 2).\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2764791 or 2764773?\nAnswer: 2764773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 1\/40*k**6 + 1 + 0*k + 1\/2688*k**8 + 0*k**3 - 1\/168*k**7 + 41*k**2 - 25\/192*k**4 + 1\/48*k**5. What is w in u(w) = 0?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**5 + 76*y**4 - 292*y**3 - 1452*y**2 + 6696*y + 7776 = 0.\nAnswer: -4, -1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-15))\/((-1)\/5). Let s = 1 - x. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135962 to the power of 1\/2, to the nearest integer?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10547358 divided by -181851?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5977792 and 73360.\nAnswer: 209222720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -138, 54 in descending order.\nAnswer: 54, 4, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, h: 8, b: 1, c: 3}. What is prob of sequence hh?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22019, -22010, -21997, -21980?\n\"Answer: 2*j**2 + 3*j - 22024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -134716 and 3.6?\nAnswer: 134719.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by -4.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 306*u**3 - 2*u**2.\nAnswer: -306*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -81375, -162830, -244357, -325956?\n\"Answer: -36*b**2 - 81347*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (6 + -1 + 2). Let p(g) = -2*g - 3. Let h(n) = -146*n + 3 - 4 + 148*n + 4. Give w*h(l) - 7*p(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91582 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17\/11 + -107\/55. Let i = 0.076 - 3.076. Which is the closest to j? (a) -1\/2 (b) i (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 + 989 = l - 3*o, 0 = -l + 5*o + 687. Let t = -656 + l. Calculate the highest common factor of 77 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173950496?\nAnswer: 2, 5435953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/2 of a century?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 462 - 462. Suppose -b + w*b - 2*s + 234 = 0, -5 = s. What is the least common multiple of b and 10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -1, 0.1, -3, 1, -2\/119?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + s = -2*s - 61, -u - s = -38. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.579*6.52\nAnswer: 3.77508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 i, and 1 x when three letters picked without replacement from {x: 1, t: 4, l: 5, f: 1, i: 5}.\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Suppose 3*k - y + 0*y - 6 = 0, 2 = k - w*y. Suppose -k*g - 2*d - 5 = 3*d, 22 = 5*g + d. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12660000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004203184122 to 7 decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -2\/3, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 10*k**3\/3 - k**2\/2 - 2*k + 5. What are the prime factors of j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 313*s - 5806. Give w(20).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 + 11*c**3 + 2*c**2 - 120*c = 0. Calculate c.\nAnswer: -3, 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 5, h: 3, f: 3}. What is prob of sequence hh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q + 6. Let l be m(-9). Let b = 647\/5 + l. Suppose 0*j - b*j**2 + 2\/5 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5928 + -5929. Which is greater: y or -4\/1685?\nAnswer: -4\/1685","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**2*t**3 - 16*m**2*t + 4*m*t**3 + 31*m*t - t**3 wrt m.\nAnswer: 8*t**3 - 32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:26 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -0.1\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2211*q**3 + 109*q**2 - 109*q**2 + 1973*q**3.\nAnswer: 4184*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 32. Let s = -0.01 + 13.01. Let p = 8 - s. Which is the biggest value? (a) v (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19398*5.\nAnswer: 96990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 980 = 2*y, 981 = 2*l + 2*y - 5*y. Suppose 280 = 4*d - 0*d. Calculate the remainder when l is divided by d.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2. Suppose r + 1 = 9. Let k = r + -4. Let c(i) = -k*i + i + 2*i. Give c(j(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -28. Let f = 35 + y. Let k = f - 11.7. Which is the second biggest value? (a) 0.5 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3822, -15303, -34354, -60903, -94878, -136207, -184818, -240639?\n\"Answer: 12*g**3 - 3857*g**2 + 6*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.23? (a) -0.27 (b) 0.01 (c) -1\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*o - 350*o - 31*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and 725?\nAnswer: -13775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 1\/3, 1.03, 30, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**3 + 2*v**2 - 2*v + 2. Let k(a) = -920*a**2 + 4*a - 919*a**2 + 1836*a**2 + 5*a**3 - a - 3. Give 4*k(w) + 6*q(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1294 - 6222 = -4*p. Calculate the common denominator of 5480\/p + 1\/7 and -143\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064800 divided by 160?\nAnswer: -6655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8112 - 4378. What are the prime factors of q?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6116185, 12232366, 18348547?\n\"Answer: 6116181*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h - 1. Let b be m(-1). Let v = -5 - b. What is the least common multiple of 9 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48870 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -86. Let f be (-6*4\/8 - -59)\/l. Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:58 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1\/7, -1.46 in decreasing order.\nAnswer: -1\/7, -1.46, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.203846kg?\nAnswer: 4203846000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2. Let w(p) = 219*p**2 - 106*p**2 - 112*p**2. Determine 5*q(f) + 35*w(f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8396.072 meters in micrometers?\nAnswer: 8396072000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**3 + 35*k**2 - 12*k - 92. Let f be z(8). Solve -f = 10*i + 56 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z - 8. Let y be 5\/20 - ((-322)\/(-8))\/(-7). Let m(c) = 3*c + 7. Determine y*m(g) + 5*f(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 37*u - 26. Let y(j) = -41*j + 26. Give 6*o(m) + 5*y(m).\nAnswer: 17*m - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 135*p + 101\/12*p**4 + 0 - 11\/10*p**5 + 0*p**2 + 0*p**3 - 1\/30*p**6. Find the third derivative of l(t) wrt t.\nAnswer: -24*t - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4104\/108*(-9)\/9?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56\/5 or -9?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43077? (a) 0 (b) 3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 358248 and 138414?\nAnswer: 6090216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 4 - 10 + 0. Let x be y(-8). Solve -3*l = -2*o - 25, -7 = x*o - 2*l + 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 31*u**2 + 1. Let g be 272\/56 + (-2)\/(-14). Let o(h) = h - 6. Let a be o(g). Is i(a) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37330112317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)\/(j*j**(2\/19)*j))**(13\/4) assuming j is positive.\nAnswer: j**(-1989\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15338685?\nAnswer: 3, 5, 47, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 + 0. Which is the closest to -2\/7? (a) 2 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726984333 a multiple of 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -40. Suppose 2*g - 6*g = -c. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2644 + 36*j**3 - 2644 - 13*j as o*j + n + l*j**3 + f*j**2 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 54776206350 to the nearest 1000000.\nAnswer: 54776000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 8:05 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 times -1.50619?\nAnswer: -105.4333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 2. Let i(y) = 7*y - 3. Let b = 20 + -3. Let j = -9 - b. Let m = -20 - j. What is m*i(w) + 10*p(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 1 + 19. Let n = -2 - x. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16222213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 9495966677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.121 - 3.879. Let f = -45\/2 - -25. Sort f, 1\/3, w.\nAnswer: w, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 354*g + 20. Determine l(-118).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-18)\/(-6)*-1)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.4 + -15. Let h = f - -1. Let a = -1360 + 1352. Is h less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5430312 and 33260661.\nAnswer: 266085288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 7*x + 5. Let y be f(-2). Solve q + 5*k - 12 = -y, 0 = -2*q - 4*k + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 to the power of 1\/10, to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(539)*-2)**2.\nAnswer: 140*sqrt(11) + 2181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 less than -4.541?\nAnswer: 1.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1260 and 1980.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 106*r**2 - 2. List the prime factors of z(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 91*b = 30*b + 219912. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2710, 5400, 8054, 10654, 13182?\n\"Answer: -3*o**3 + 2711*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 17. Let n be l(9). Sort -4, 505, n.\nAnswer: -4, n, 505","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 1072, 2400, 4258, 6646?\nAnswer: 9564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/5 - 2262*f**3 - 15961152*f**2\/5 + 16072136*f + 76885440 = 0. Calculate f.\nAnswer: -2830, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 64\/208 + (1780\/(-20995) - 104\/884)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6001637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3, 72*u - 73*u + 14 = 2*y. Solve -18*a = -23*a + u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 1, f: 2, d: 1}. What is prob of picking 1 d and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 14*r**2 - 17*r + 19. Let o be n(-13). Let s = 113 - o. Let l = s + 1. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171.5 - 171. What is the closest to -17 in -1, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 5. Let k = 10 + -7. Suppose -k*u - 20 = u. Let b be -4*3\/42*-21. Let z(i) = -i**2 - 6. Give b*j(n) + u*z(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 8.83, -1\/71 in decreasing order.\nAnswer: 75, 8.83, -1\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3118600000 rounded to the nearest one million?\nAnswer: -3119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -135.9 = 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*h + 59, t + 53 = -2*h + 7*h. Let m be (12\/h)\/(3\/(-15)). What is the tens digit of (3\/(-6))\/(m\/144)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 2*x**2 + 887. Let p be r(0). Suppose -a + p = 32. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1)\/(2\/(-4)). Let o be 5\/(-2) + 4\/y. Suppose -24*l - 52 + 138 = 38. Which is the closest to o? (a) l (b) 4\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341840.9 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (-3 + 3 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 228 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 - (-5 + 1 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 12:03 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**4 + 7*z**3 - 3*z**2 - 79*z + 2125224 wrt z.\nAnswer: -4*z**3 + 21*z**2 - 6*z - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m - 2*m - 4*m - 1)*(-12*m + 12*m - 15*m**3) + 8*m**3 + 4*m**4 - 8*m**3 in the form j*m + d*m**2 + k + t*m**4 + r*m**3 and give t.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23\/(-234) - (-208)\/1352. Let k(d) be the first derivative of -1\/8*d**4 - 4 + 0*d**2 + i*d**3 + 1\/10*d**5 + 0*d - 1\/36*d**6. Factor k(w).\nAnswer: -w**2*(w - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 - 210\/27. Let o be l\/(-14)*(-1)\/(-4). Let d = 4.67 - 4.57. Which is the nearest to d? (a) -5 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1) + (-304)\/(-76). Sort 2, -7, l, -3.\nAnswer: -7, -3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 + 3 = 0. Let t be 11 + d\/16*-4. Suppose 3*c - t = -3*i, -5*i - 5 = -c + 5. Solve 1 + 4 = c*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 59855 + -22?\nAnswer: 59833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1111210 - -3250?\nAnswer: -1103520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112769.\nAnswer: 1093, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 103 (b) -4662 (c) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 118?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630567?\nAnswer: 3, 7, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -4 + (6 - 3) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -198. What is the greatest common factor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen eighths of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000101010100011010011 (base 2) to base 12.\nAnswer: 1568157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyjyjyjyjj. Give prob of picking 2 y and 1 j.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 6*d - 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -30744 at least as big as -30742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 9646 = 4*r - 80944, -r + 45297 = -v. Let u = v + 98434729\/2173. Let m = u + -171671\/4346. Find the common denominator of -71\/3 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 27 - 5*j)*(36 - 19 + 25)*(-2*j + 0 + 0).\nAnswer: 420*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 12 + 5*b**2 + 2 - 8*b - 5 + b**3. Let t be y(-7). Solve 0 = -3*w - w - t*i + 8, 7 = 5*w + i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1421387\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 91319.1cm?\nAnswer: 913191000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298298?\nAnswer: 2, 7, 11, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.66 and 1348.4296?\nAnswer: 1343.7696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:48 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.2 + 4.5. Let n = -7.273984 + 2.574183. Let x = w - n. What is x rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13594, -13595, -13596, -13597?\nAnswer: -13598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - 24*f - 61. Calculate h(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*a + 10 = 92*a. Suppose 1 = -a*c + 31. Solve 5*v - c = 10*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -2.6. Let x = 2.4 + -1. Let j = x - 0.4. Which is the second smallest value? (a) -0.1 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81914675.\nAnswer: 5, 3276587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13298972\/11 - 1210770. Suppose -191*w - 8855 = -186*w. Let k = w - j. Calculate the common denominator of -39\/14 and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l, 2*q + 4*l = 2. Let d = -6 - -5. Sort -4, d, q in decreasing order.\nAnswer: q, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -89, -172, -263, -368, -493, -644, -827?\n\"Answer: -c**3 + 2*c**2 - 82*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c + 1\/80*c**5 - 21 - 1\/16*c**3 - 1\/48*c**4 + 1\/80*c**6 - 1\/16*c**2 + 1\/336*c**7. Factor t(v).\nAnswer: (v - 1)*(v + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36369 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/18*9\/(-2). Suppose z = -3*h - 3*q, -4*q = -2*h - 5*q + 1. Suppose 3*u = -h*p + 5, -u - 1 = u - 3*p. Let k(v) = 6*v**2 - v + 1. Determine k(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2. Let a(b) = 7*b. Let n be (-35)\/(-6) + (-2)\/(-12). Let v(t) = -7*t. Let o(m) = n*a(m) + 5*v(m). Give o(f(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 3*g + 7748 - g + 3*g.\nAnswer: 2*g + 7748","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19172 * -40.018.\nAnswer: -767225.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88124 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 45. Let k(x) = x. Let v be k(l). What is the third derivative of -3*m**2 + 4*m**2 + m**2 + 7*m**v - 12*m**4 wrt m?\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*d + 40 = -96*d. Suppose 3*p + 330 = d*p. Is 31 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4\/7, 1\/3, 0.1, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1064061 rounded to four dps?\nAnswer: -0.1064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*l + 3*p, 5*l + p + 0*p - 14 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1987464 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let m(s) = 2*s**2 + s + 2. What is the lowest common multiple of m(v) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23113 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -8. Let u be (3 + -1)*3\/(-12)*0. Which is the closest to u? (a) -0.2 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11694361*t**3 - 23388759*t**3 + 11694411*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -452 + -136024?\nAnswer: -136506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8387, 16105, 23793, 31445, 39055?\nAnswer: 46617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 11. Let x be s(6). Put x, -4, 5 in decreasing order.\nAnswer: 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -33) + 9 + -41 + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 10:14 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 125260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(396)*2 + 3 + 1)**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8*g = 20. Let c = g + 0. Solve 5*l = -x - 14 - 9, 3*l + c*x = -11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-3) - (13 + -10). Let b be (-1)\/(-3)*(-3)\/(-2). Is b less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2572*f**3 - 47*f - 11.\nAnswer: 15432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**5\/20 + a**4\/2 - a**3\/3 + 5*a**2 + 21*a. Let r be t(6). Sort 1, r, 3, -3 in descending order.\nAnswer: 3, 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**3\/12 - 26*h**2 - 103*h + 343. Factor k(j).\nAnswer: -(j + 2)*(j + 206)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -14*i**2. Let w(q) = -3407*q**2. Calculate r(w(o)).\nAnswer: -162507086*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9658 - 1648?\nAnswer: 8010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 2*l**2 + 27*l - 25. Let k(s) = -4*s**3 - 4*s**2 - 45*s + 51. Let b(g) = -3*k(g) - 5*v(g). What is the first derivative of b(i) wrt i?\nAnswer: 6*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 85. Calculate f(-35).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4367, -4, 78.57?\nAnswer: -4367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753319 = 343*q - 366*q. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.054, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -52. Suppose 3*q + j = -s, 2*s - 3*q = 6*s + 95. Is (83\/4)\/((-5)\/s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-8) + 899\/(-11160)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((7 - 3) + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 1:54 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 4)*(-14558 + 615*n + 627*n + 14558).\nAnswer: -1242*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 17. Let w be s(-8). Solve -4*h = 3*u + 21, 3*u - 8*u + 2*h - w = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1 (c) 0 (d) 42.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*l**4 - 2*h**2 + 4*h*l**4 + 461 with respect to l.\nAnswer: 8*h**2*l**3 + 16*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i*p*q**3 + 229*i*p*q**2 + 87*i*q**3 - 6*i with respect to p.\nAnswer: 5*i*q**3 + 229*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*n - 0*n. Let h = -3 - n. Solve 0*t = h*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10 + 189\/(-45) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 176 = y. Suppose -474 = -i + y. What is the common denominator of 57\/56 and (-2)\/5 - i\/(-80)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, e: 2, c: 4}. Give prob of sequence cc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13 - -26 - (-735)\/(-70). Determine g, given that d*g - 1\/2*g**2 - 2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3561 + -5?\nAnswer: 3556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c71 (base 16) in base 14?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 + 4 + -8 + -5. Let m(a) = 3*a**2 + 26*a + 65. Let g be m(p). Let v = 10 - 3. What is the highest common divisor of g and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) - (-42)\/8. Let n(k) = 2*k - 11. Let y be n(7). Let l(f) = 97*f - 196*f + f**2 + y + 92*f. What is l(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a66 - 31?\nAnswer: -4a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11902, 11944, 12008, 12100, 12226?\nAnswer: 12392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16693682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-21) - (-4)\/(-14). Suppose -u*y - 5 - 14 = -t, -2*t + 5*y = -42. Let p be (-2 + t\/6)*-3. What is the closest to p in 0.2, -5\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4566307971.\nAnswer: 3, 16759, 90823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**4\/8 - 8*l**3\/3 + 3*l**2. Let v be z(12). Solve -k + 5*k = v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5376 and 139\/840.\nAnswer: 26880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1280 - 2*a - 3765 + 1510 + 718 + 1270 to p*a + k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 2\/9 (b) 0 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 39) + (0 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -d4745 (base 14) to base 7\nAnswer: -4231115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 - 2*c - 1. Let d(p) = 7*p**3 - 7*p - 1. Let j(t) = d(t) - 6*x(t). Calculate j(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y - 31. Let i = 71 - 78. Let w be u(i). Suppose -24 = -x + w. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**3 - 1565004*n**2 - 2407202 wrt n?\nAnswer: -3*n**2 - 3130008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 631271 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94716 = 104*y - 121604. What is the greatest common factor of y and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181928058 divided by 13911?\nAnswer: 13078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 273935187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2378922137.\nAnswer: 2378922137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u)**(9\/11) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 0, -1\/4, -20, 177\/4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 3:44 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 1:27 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.6 - -5. Let v(l) = l**3 + 72*l**2 - 689*l - 58033. Let y be v(-70). Let n = -2 + 2.6. What is the smallest value in y, -2, n, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + sqrt(68) + -2*sqrt(68) - sqrt(68))*-5)\/(sqrt(4) + -2*sqrt(4)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovfooyhooxxoyvo. Give prob of picking 2 o, 1 x, and 1 v.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5025 - 9?\nAnswer: -5033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*x**2 + 0 + 0*x - 16\/5*x**3 - 4\/5*x**4.\nAnswer: -4*x**2*(x + 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1020 - l**2 + 3111 + 6674 - 3960*l + 3961 wrt l.\nAnswer: -2*l - 3960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 18}. Give prob of picking 2 t and 2 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -753?\nAnswer: 7\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14200 + 87.272213?\nAnswer: -14112.727787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -276\/127?\nAnswer: -276\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:53 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116*5\/10*(2 - -14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 261*p - 1582. What is the remainder when 10058 is divided by v(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5285532752 to the nearest integer?\nAnswer: 72702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 11:14 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 15. Let h be j(-11). Let q be 4 - -53 - (8 + h). Calculate the greatest common factor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211.2544 - 1392.\nAnswer: -1180.7456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, l: 4, f: 1, a: 2, o: 2}. What is prob of picking 2 s and 2 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*w + 70 + 177 = -581 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9505.8069 and 10709?\nAnswer: 1203.1931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.46185422 rounded to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) + (sqrt(504)*-1 - sqrt(504) - sqrt(504)))*6*2)\/(2*sqrt(175)*5 - (sqrt(175) + 4*sqrt(175)*-2)).\nAnswer: -144*sqrt(2)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/507388 and 13\/14.\nAnswer: 507388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22269960.\nAnswer: 2, 3, 5, 61861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -156954 divided by -11211\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3812 - -3811.89. Which is the biggest value? (a) -5 (b) j (c) 0.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(308\/(-28)) - -14.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3406378 or 1?\nAnswer: -3406378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcfdfmcff. Give prob of sequence fdf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48082901 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7165, -7250, -7335, -7420, -7505, -7590?\n\"Answer: -85*t - 7080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, d: 3}. What is prob of sequence ll?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 41.2. Let f = 59.8 - j. Let u = 3.08 - 0.08. Do u and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + q**2 - 2*q**2 + 2*q**2 - 7 + 7 + (0 + 1 + 1)*(-3*q + q**2 + 3*q))*(-2 - 1 + 2)*(-128 + 10 - 7) as a + i*q + o*q**2 and give o.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1531040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0, -12754, -166, -2, 3 in descending order.\nAnswer: 4, 3, 0, -2, -4, -166, -12754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2 and -79\/29676.\nAnswer: 29676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20461111?\nAnswer: 11, 37, 50273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449, -895, -1333, -1757, -2161, -2539, -2885, -3193?\nAnswer: -3457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/3)\/((-5)\/30). Let l be (-38)\/v + 4\/16. Suppose 3*r + 5 = 4*j + 1, 3*j - 3 = l*r. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/((-2288)\/26) - (-16 + 16 - 47\/92).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y**2 + y + 21. Let i(f) = -588*f - 588*f + 1176*f - 4 - 3*f**2. Give 11*i(g) + 2*t(g).\nAnswer: -3*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-8)\/((-17)\/(-102)*-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**2\/j))*j)**38)**(-23\/3)*j\/(j*j**(-4))*j**(-6)*j\/(j**(-1)\/j)*j*((j\/(j*j*(j\/(((j\/j**(-4))\/j)\/j))\/j))\/j)\/j assuming j is positive.\nAnswer: j**(-872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 36, 3, -1\/3, 0.2 in descending order.\nAnswer: 36, 3, 0.2, -1\/3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 81. What is y(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15218 divided by 14\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 6. Suppose 4*r = 8*r - 168. Suppose -r = -5*j - 12. Calculate the lowest common multiple of 22 and q(j).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4604 + (-7 - (7 - 10 - 4)) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-540)\/(-16) + (-1)\/(-4). What is the greatest common factor of 170 and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**3 - o**3 + 5*o**3)*(0*o + 0*o + 2*o) + (4 + o - 4)*(-25*o**3 - 2*o**3 - 7*o**3) to a*o**3 + y*o + s*o**4 + v*o**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 5*o**2 + o + 3. Let z be g(5). Let a = z - 7. Let u(s) = -s**2 - 6*s**2 + 0 + 5*s**2 + a + 2*s**3. Give u(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 14 = -355*s + 351*s, 4*r - 2*s = -22 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*d**4*i + 10*d**4 - 16769*d**3*i + 2*d**2*i + 2005857*i - 1 wrt d.\nAnswer: -504*d*i + 240*d - 100614*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -79. Suppose -13 = -3*b + 2*n, -7 = -2*b - 3*n + 19. Let u = 11 - b. Solve -u*p + 16 = -d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(32))**2 + (0 + sqrt(2))**2*3.\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(1248\/2002)*57\/(-266).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1936 - 1771. Sort 2\/21, 1\/4, n, 0 in increasing order.\nAnswer: 0, 2\/21, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*k - 22, 26 = v + 2*k - 0*k. Calculate the remainder when 29 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*p - 5*w - 98, 2*p - 594*w + 593*w = 30 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -29. Let u(j) = -13*j**2 + j + 1. What is u(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lclc when four letters picked without replacement from {k: 2, c: 3, l: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/10*860\/(-258). Let y(s) be the third derivative of -1\/15*s**5 + 0*s + 0 - w*s**3 + 0*s**4 + s**2. What is the derivative of y(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2391665835 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -2*p**3\/3 + 3*p**2\/2 - 10*p - 15. Let t(v) be the first derivative of x(v). What is the derivative of t(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/10 + (-6432)\/11520 and -77\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g + 5*g + 6*g + 10*g**2 + 2*g. Let u be s(2). Let v = -44 + u. Let w(r) = -r - 7. Calculate w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r**2 + 63*r**2 + 11*r**2 in the form j*r**2 + z + v*r and give j.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 88 = -v. What is v rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 253107 or 253033?\nAnswer: 253107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 33 - 8 = 0. Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (sqrt(1900) + 0 - sqrt(1900))) + (5*(0 + sqrt(1900) + sqrt(1900) - sqrt(1900)) - (sqrt(1900) - sqrt(1900)*-2*-5 - sqrt(1900))))**2 + -2.\nAnswer: 1800*sqrt(19) + 427534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (270 - 126 - 1372 - 248)*(0*g**4 + 0*g**4 + 4*g**4).\nAnswer: -5904*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14 + 3*p**2 + 4*p**2 + p**3 + 3*p**2 - 2 + p. Let o be g(-10). Solve -4*f + o*f = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 8:28 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 13*d**2 + d - 10. Let x be 126\/10 + 4\/30*3. Let s be v(x). Let t be (1*(-4)\/8*0)\/s. Solve t = 2*w - 3*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, -10, -32, -56, -82?\n\"Answer: -l**2 - 17*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvvlllwwlvlvll. What is prob of picking 2 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 2*y + 0*y)*(2 - 14 - 5)*(y + 4 - 2*y - y) to the form w*y + b + x*y**2 and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 7*w - 1. Determine m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -1081, -2938, -6131, -11002, -17893, -27146?\nAnswer: -39103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -447760570.1 take away -0.3?\nAnswer: -447760569.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -221\/19 (b) -32 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*c - 202, 0*c - 829 = -4*g + c. Let d be (-14)\/(-4)*g\/28. Solve -d = 2*o + 4*t, -4*o - 5*t - 23 = 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6320 (base 8) in base 13?\nAnswer: -1654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/(-7) - 11)\/((-6)\/4). Solve -4*i - u = 3*v + 9, 3*v - i = -16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363518038 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 5*s - 7. Let u be w(7). Let p(c) = -c**2 + 10*c - 5. Let l be p(8). What is the highest common divisor of l and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15556035 - -1?\nAnswer: -15556034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 148 and -1.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4536423 to the power of 1\/2, to the nearest integer?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -195, -425, -757, -1197, -1751, -2425?\nAnswer: -3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = -0*q. Let j be 1 + -1 + 237\/765. Let c = j + 2\/85. Which is bigger: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 13*p**2 - 10685*p + 888882. Determine v(728).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3692\/7 - -527. Let y = -9 - -9.2. Sort 1, c, y in descending order.\nAnswer: 1, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let p(n) = -614*n**2. Give w(p(s)).\nAnswer: 376996*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1030 = -4*g + 9*g, -2*q = -5*g - 412. Suppose -q = -4*u + 74. Suppose 3*l = u + 284. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -10 - (-4 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -833, -1\/2, -2.1, 3, -3 in increasing order.\nAnswer: -833, -3, -2.1, -1\/2, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 52*w + 1. Let m be s(1). Suppose 51*u + 389 + 403 = 129. Let h = m + u. Calculate the remainder when h is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 2, s: 4, k: 1, h: 5}. What is prob of sequence ks?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365392029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 208 + 69*r**3 - 68*r**3 - 2*r**2 + 231 to the form h*r**2 + v*r**3 + o + u*r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/4)*c)\/c)\/(c*c\/((c\/(c*c*c*c**(-1\/6)*c))\/c*c)*c*c))**8 assuming c is positive.\nAnswer: c**(-134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 38 = -2*x, 53 = -318*x + 313*x - 3*s for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-413)\/(-708)*(1 - 502\/530) and -33\/2.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 196, 301, 412, 529, 652?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l - 122412 - 35428 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 22*a + 193. Give x(-27).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -83\/129?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 6 = -3*z, 10 = 22*z - 17*z - 10*z - 2*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -44*h**3 - 10*h**2 - 57*h - 2. Let f(q) = -21*q**3 - 4*q**2 - 29*q - 2. Determine -5*f(y) + 2*p(y).\nAnswer: 17*y**3 + 31*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y + 75*y = 8466. Which is bigger: y or 1744\/7?\nAnswer: 1744\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2131*k + 23922 - 100361 = 49290 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 7, m: 1, y: 5}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/75 - 0 - 72\/(-72900)*-144. Let s = -17 + 9. Let l = s - 3. What is the third smallest value in l, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 653328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-3 - 0 - 2). Calculate the greatest common divisor of t and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -55 - (-3 + 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 187393, 187397, 187401, 187405, 187409?\n\"Answer: 4*b + 187389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/3)*c*c**3)\/((c*c*c\/(c**(-8)\/c)*c)\/c**(-6)))**(-14) assuming c is positive.\nAnswer: c**(602\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibzzkzizzu. Give prob of sequence bui.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiwiiwmwmilmw. What is prob of sequence wiww?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 - 35*n**4 + 284*n**3 + 320*n**2.\nAnswer: n**2*(n - 20)*(n - 16)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/4)\/3 - -4. Calculate the remainder when 8 + q\/(-3 - -2) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 6*q - 3. Let z(j) = -2*j**2 + 12*j - 7. Suppose 0 = -2*y + 5*k - 37, -2*y = -0*y - k + 17. Let h(b) = y*z(b) + 13*w(b). Give h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9773, 30081, 63925, 111305, 172221, 246673, 334661?\n\"Answer: 6768*r**2 + 4*r + 3001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5198*a**3*y**2 - 104*a**3*y + 199*a**2*y**2 - 258*a**2*y - 2*a**2 + 4*a - 2*y wrt y.\nAnswer: -10396*a**3 + 398*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1170286 and 14950.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7281642 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -8*b + 3*b. Let p(f) = -f**2 - 14*f - 10. Let w be p(-15). Let k = 15 + w. Are b and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -2505?\nAnswer: 200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(3\/(-66)). Let u = x + -8. What is the second derivative of -16*t**3 - u*t**4 - 2*t + 16*t**3 wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 12:52 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 316626493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/3137 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 12635?\nAnswer: -1\/12635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*(-2 + (-7)\/(-5)). Which is the nearest to s? (a) -1\/5 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 8830873.\nAnswer: 3\/8830873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 7*q + 3. Let r be d(7). Solve r*x = -3*u - 3, 0*u = u + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(((u\/u**(-2\/17))\/u)\/u))\/((u*u**(4\/9)*u)\/u))\/(u**(2\/13)\/(u**(9\/2)\/u*u)) assuming u is positive.\nAnswer: u**(19031\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617361646?\nAnswer: 2, 11, 28061893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 202, 274, 344, 412, 478, 542?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-378)*7)\/((-1)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(-3\/7))\/z))\/z**(-7)*z**(2\/13)*(z\/(z**(1\/6)*z*z*z)*z)\/z*z*(z\/z**(-2))**7\/(z**(-1\/2))**2 assuming z is positive.\nAnswer: z**(15593\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -33*o + 8*o**2 + 0 - 16\/9*o**3 + 1\/15*o**5 - 5\/9*o**4. Factor u(j).\nAnswer: 4*(j - 6)*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 970, 3880, 8730, 15520, 24250?\n\"Answer: 970*c**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from qgddtddl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -252 + 302. What is the first derivative of 10*r + 14 + b*r + r**4 + 32 wrt r?\nAnswer: 4*r**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*f + 5 = y, 2*f - 2*y = 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-121)\/(-4))\/((-1575)\/100). Let z = k + 16\/9. Let m = -0.42 - -0.72. What is the smallest value in m, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 7*r**2 + 5*r - 7. Let h be b(5). Let a be (-2)\/(-6) - h\/(-6). Let t = 5401 - 5407. Put t, a, -1 in descending order.\nAnswer: -1, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 10 + 14. Let c be (-5)\/(-2)*(-12)\/(-15). Let i be (-48)\/(-9) + c\/g. Solve -6*l = -l - i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*g + 45 = 106*g. Let y = g - 5. Solve y*j = 2*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000306196898 to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -4*n. Let h(b) = -8*b**3 - 54*b**2 + 2*b - 57. Let s be h(-7). Suppose 3*j - 455 = n*l, 11 - s = 4*l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 + 11187*a**2 + 23*a**3 - 2*a**4 - a**4 - 11185*a**2 - 1 to the form f + c*a**3 + h*a**4 + s*a + l*a**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68417\/7 + 9818. Let r = -44 + s. What is the closest to -3\/2 in r, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w**3*y**2 - 181*w**3*y - 9*y**2 wrt y.\nAnswer: 16*w**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 312, 286, 254, 216, 172, 122, 66?\n\"Answer: -3*n**2 - 17*n + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 56, 9, -2774.\nAnswer: -2774, -4, 9, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1, 4, 0.9, -45?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**3\/6 - 130*c. Let g(w) = -1. Let p(h) = -2*h - 1. Let r be 1\/(2*1\/(-2)). Let v(l) = r*g(l) + p(l). Determine v(o(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27627 + 26430. Which is bigger: r or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 4*m)*(28*m - 106 + 106)*(-2 - 4 + 4).\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**4 - 54165*b**3 - 54135*b**2 + 270785*b - 162480 = 0?\nAnswer: -10832, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n + 4. Let b(x) = -x - 1. Let r(g) = -11*b(g) - 2*m(g). Suppose 2 = 2*h + 8. Is 3 a factor of r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86 and 360?\nAnswer: -30960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -16580 != -2\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 15*w**2 + 40*w - 41. Give h(-9).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - -0.26. Let d = -0.24 - l. Which is the nearest to 4\/5? (a) d (b) -3\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-365)\/(-75))\/((-4)\/6) and -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*h**2\/7 + 20*h\/7 - 2\/7.\nAnswer: -2*(h - 1)*(9*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 2*s + 7. Let m be d(-3). Let u be (m\/28)\/(4\/(-56)). What is q in 2 + u*q**2 + 0 + q - 2*q - 5*q**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 80. Let d = j - 71. Let c(y) = 16*y**3 - 6*y + 29. Let w(a) = -31*a**3 + 11*a - 57. Let v(r) = d*c(r) - 6*w(r). Differentiate v(m) wrt m.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2588, -5238, -8016, -10994, -14244, -17838?\n\"Answer: -12*d**3 + 8*d**2 - 2590*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3214443 (base 5) to base 9\nAnswer: 82524","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.09183069 to 3 dps.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-189))\/((-36)\/63)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) - 4\/(-42). Suppose 3*m = 9 + 12. Let y be m\/(-6) - (-4)\/6. Which is the closest to y? (a) 0.4 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.841 - -92.391. Let s = x - 53.56. Let c = 36 - s. Sort -0.1, c, 0.1.\nAnswer: -0.1, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-6)\/(-15) + 49\/(-140)). Suppose -5*p + f = -9*p. What is the nearest to 1\/2 in 0.4, 2\/89, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11066*f**3 - 11070*f**3 + 9 - 10*f + 11*f + f**2 as k + b*f**2 + i*f**3 + v*f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 2008?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 5. Let j(h) = h**2 - 10*h + 10. Let d be j(8). Let b be u(d). Solve 3*i + 7 - b = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(567) - (sqrt(567) + 3 - sqrt(567))) + 4 - sqrt(567) - -4*(sqrt(567) + 0))*-4)**2.\nAnswer: 1152*sqrt(7) + 145163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, b: 1, f: 1, v: 5, s: 4, w: 1}. Give prob of picking 1 w, 1 f, and 1 b.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)*k**(-5))\/(k*k*k**(-1\/3))**(-12)*(k*k\/(k\/((k\/((k**(1\/2)*k)\/k*k))\/k)*k)*k*k\/(k\/k**(2\/19)))**12 assuming k is positive.\nAnswer: k**(333\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 9*y + 60. Let r(c) = c**3 + 6*c**2 - 6*c - 5. Let w be r(-7). Let l = y - w. Solve 0 = -3*g, -4*d + g + 0*g = l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3170*t**4 + 360*t wrt t.\nAnswer: -38040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 40 = -4*d - 4, 32 = 3*d + 4*j. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -344 and 185.4.\nAnswer: -63777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 326696 and 12?\nAnswer: 980088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 1, f: 4, x: 3, g: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - (5 - 6))\/(0 + (-2)\/3947).\nAnswer: 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.88199992811 - -12.882. Round o to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1119*o**2 - 252*o + 506. Let i be y(2). Which is bigger: i or 4479?\nAnswer: 4479","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from douxduuuud. What is prob of sequence udd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpwt when four letters picked without replacement from {p: 4, t: 1, f: 1, x: 1, c: 2, w: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvz when three letters picked without replacement from {t: 7, e: 2, x: 3, z: 1, v: 1}.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000165091178 to 7 decimal places.\nAnswer: -0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 96 = 2*x + 4*h, 0 = -5*h + 10. Suppose 39*l - 16328 = x*l. List the prime factors of l.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 42*a + 564. Calculate v(23).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - f - 3. Let o(c) = -3*c**2 - 2*c - 4. Determine 3*i(b) - 2*o(b).\nAnswer: -3*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 23. What is the third derivative of -12*h**4 - 14*h**4 - t*h**4 + 5*h**2 + 35*h**4 wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13414851301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/13 - 33384304*o\/13 - 139313969195552\/13.\nAnswer: -2*(o + 8346076)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 72*h**2 - 7*h - 17. What is the units digit of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 31) + (166 - 169).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5188.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-705)\/(-10) - (-2)\/(-7 + 3)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {j: 6, p: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 5:03 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from {g: 1, x: 8, s: 10}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*n - 3, 0 = -3*q - q - 3*n + 12. Suppose -2*a + 2070 + 1247 = -q*t, 4*a - t = 6629. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127745367 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let i(f) = f - 1. Let r(s) = -2*s + 2. Let g(p) = 5*i(p) + 2*r(p). Let a(q) = -2*b(q) + g(q). Let c(x) = -7*x - 1. Let d be c(-1). What is a(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -461.539558 to 2 dps.\nAnswer: -461.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6226*a**2 + 30*a**3 - 3 - 138*a**3 - 71*a**3 - 6227*a**2 in the form m*a**3 + r*a + u + i*a**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 358 + 2*v + 351 - 709 + 5244*v**3 to the form t*v + z*v**3 + o + p*v**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1999.\nAnswer: -4\/1999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26813\/707 or 37?\nAnswer: 26813\/707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, l: 4, r: 1, u: 1, c: 1}. Give prob of sequence lu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 517*g**2 + 71*g + 216. Is w(-3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.53 + 0.03. Suppose -31*s = -72*s + 49*s + 16. Which is the third smallest value? (a) -6 (b) s (c) 2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -2, 8, 2, 4 in descending order.\nAnswer: 69, 8, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13138*h = -16058*h - 75920 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2568\/1012987 or -1?\nAnswer: -2568\/1012987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**2 + 4*d**2 - 6*d - 2*d - 9 - d**3. Let u be s(9). Let n = -3484 - -3484. Solve 3*w + 5*a - 19 = n, -2*w - 4 = -u*w - 5*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2057)*1.\nAnswer: -1 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 165*k**2 - 200*k**2.\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 122.\nAnswer: -2684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1\/3, 3\/55, -1, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*-962*(-40)\/(-14560)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let v(p) = 1189*p**2 - 1 - 25*p - 120*p + 1. Let u(k) = -33*k**2 + 4*k. Let a(o) = 145*u(o) + 4*v(o). Give z(a(s)).\nAnswer: -58*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4 - 15800*z**3 + 751072*z**2 - 1454728*z + 719460 = 0.\nAnswer: -3997, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-110) - 2\/(-11). Solve -g + 5*a = 11, 4*g - 3*a - 7 = -z*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + sqrt(252) + 1 + sqrt(252) - sqrt(252)) + (1 + sqrt(252) + 0 + sqrt(252))**2)*-4 + 3.\nAnswer: -4044 - 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = y + 3*y - t, 4*t + 24 = 4*y. Suppose -5*a - 5*f + 40 = 0, 0 = a - 5*f - 30 + 4. Solve -2*j + 5*j + 5*q = 13, a = y*j + 3*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181.6 + -182. Which is the closest to 1\/4? (a) g (b) 0.3 (c) -4\/7 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18084, 36222, 54360, 72498, 90636, 108774?\n\"Answer: 18138*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31430 (base 7) to base 9.\nAnswer: -11575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798 and 7967574.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/(-40))\/((-18)\/(-20)))\/(-6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 6. Let s be d(9). Suppose 0 = 3*m - 30 + s. What is the common denominator of 16\/21 and (2 - (-94)\/m)\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 10:52 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/14)\/l*l*(l**(-2)*l)\/l*(l**(1\/2))**37 assuming l is positive.\nAnswer: l**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.746 <= 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168 - 196*u - 195*u - 194*u + 583*u + u**3 to the form s + h*u + z*u**2 + r*u**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -99, -116, -141, -174?\n\"Answer: -4*u**2 - 5*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, w: 9}. Give prob of picking 2 h and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u = 4*m - 78, -u = 3*m - 59. Let x = -224 - -341. Suppose -26*r + 29*r - x = 0. What is the remainder when r is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 5. Suppose -19 - 17 = 4*r + 4*y, r - y = -1. Let z(v) = -v**2 + 2. What is r*z(s) + 3*a(s)?\nAnswer: -s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2827, -5658, -8489?\n\"Answer: -2831*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 = -6*a + 28*a. Calculate the remainder when 83 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-2)*(-10)\/25)\/((-78)\/(-585))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*u - 77925 = 0, 11*u + 46757 = 3*v + 6*u. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Suppose 5*m - 30 = q*m. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 10 = 3*g, -6205 = 2*q - 4*g - 6215 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*z - 5*z. Let k(w) = -w**3 + 8*w**2 - 3*w - 1. Let l be k(z). Differentiate -l*j**2 + 2 + 53*j**2 + 2*j**4 with respect to j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((-57)\/(-76))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5713 rounded to 2 decimal places?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1155083028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/4245 and -73\/30.\nAnswer: 8490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 3*p + 2*p + (-7 - 19 - 17)*(5*p - 2*p - 4*p).\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-347)\/(-694)*6*-8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -632400, -1264724, -1897048, -2529372, -3161696, -3794020?\n\"Answer: -632324*b - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-6))\/(15\/(-6)). Determine q so that i*q + 1\/5*q**2 + 2\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148\/(-11) - (2520\/154)\/30.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 13274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from yyyywwy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*m, 23*y - 6*y - 3*y = -11*y + 5*m - 165 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93 and 54994.\nAnswer: 164982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 8*z**2 - z + 3. Calculate the remainder when d(4) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 66. What is v(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15655816 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181038*h**2 - 167881*h.\nAnswer: 362076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230122321 - -111?\nAnswer: -230122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 5, -3\/13, -0.11, -1\/8, 0.16?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13720000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 14*c**2 - 10*c + 28. Let z be o(-6). Which is bigger: z or 13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3971 or 0?\nAnswer: 3971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6008 = 7*v + v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*f + 231 - 251, 3*k - 2 = -f. Let w = 19\/75 + 2\/25. What is the closest to k in 0, w, -29, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 1232 - 1232.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92941730*a**3 - 92939539*a**3 - 2*a + 2*a.\nAnswer: 2191*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*g**2 - 2034*g + 1 + 2034*g + 6*g**3 + (3*g**2 - 3*g**2 - g**2)*(-3*g + 5*g - g) + 4*g - g**3 - 4*g.\nAnswer: 4*g**3 - 74*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + a5?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + sqrt(2))**2 - (sqrt(2) + (sqrt(18)*-3)\/sqrt(9)).\nAnswer: -12*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*3\/((-108)\/(-9)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 10, 0 = -5*i + 5*d + 140 + 65. Let k = 183\/4 - i. Let u = -0.105 - 2.895. What is the nearest to 0 in u, k, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a9313 (base 13) to base 5\nAnswer: 232022432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*o - 235*o - 234*o + 727*o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000941578379 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 3, i: 2, x: 6}. Give prob of sequence xx.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2058 and 813596?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-34 + 40 + -20)\/((-41)\/41)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {f: 4, x: 1, q: 1, i: 1, t: 1, a: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/22 - ((-1323)\/(-33))\/(-9). Calculate the highest common factor of h and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. What is the derivative of s + 28 + p**4 + 15*p**4 wrt p?\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7443*f**2 + 3722*f**2 + 3726*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2729991km to meters.\nAnswer: 272.9991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1446432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 2\/7 (b) 0.1 (c) 1 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 116, 53, -56, -223, -460?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - t - 56 = 0, c - 5*t = 3*c - 44. Suppose -1 + 5 = l - 4*z, 0 = -3*l + 2*z + c. What is the common denominator of ((-10)\/4 - -2)\/l and -107\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -651 or -4?\nAnswer: -651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/5 in 1\/10, 2\/7, 6.9034, -0.1, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6294*f + 1 + 6290*f + 1.\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 98*o + 643. Let q be u(7). Let w(s) = 24*s - 6. Let v be w(3). What is the highest common factor of v and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2350514.14 rounded to the nearest one hundred?\nAnswer: 2350500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600 - 204 = -33*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 6*n + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(1 - 41\/44). Let j = q - 7. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22734950.883 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 2504775*i**3 + 418232297220*i**2 - 23271837306391760*i - 768426176102629440.\nAnswer: 5*(i - 166996)**3*(i + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1833 or 33185?\nAnswer: 33185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1785 - -98. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33631*z + 33241*z + 9 - z**2 + 4*z**2 - 9.\nAnswer: 3*z**2 - 390*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 7*l**2 - 6*l + 2. What is u(7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*y + 84*y + 50848 = 0. Is y bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + 3*d**2 + 27 - 2*d**4 - 2*d**2 - 26 to p*d**4 + v*d**3 + c + g*d + h*d**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/3592322 or 0?\nAnswer: 15\/3592322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996359 is divided by 124536?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 618\/583 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5579 times -300?\nAnswer: -1367.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 7*q - 568. List the prime factors of q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106 + 2*g**3 - 105 + 3*g**2 + 7*g**3 + 2*g - 4*g**3 in the form t*g**3 + n + d*g**2 + z*g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*y = -2803 + 5988 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21934700 divided by -5483675\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49886131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 3. Let s be y(-3). Let m = 14 - s. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*m**2 - 2*m**4 + 354*m - 28*m**2 + 103*m + 2*m**3 + 3*m**4 as f*m**4 + z*m**2 + d*m + j + t*m**3 and give d.\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/6*1266\/(-9). Suppose h + 3*i - 37 = 9, l = 5*h - 4*i. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -732*u**2 - 21*u + 7. Let s(h) = -h**2 + 3*h - 1. Determine -2*l(x) - 14*s(x).\nAnswer: 1478*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*q - 153429 - 60327 = 0. Is q at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041.043 millilitres in litres?\nAnswer: 2.041043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 31 = -2*m + 2, -45 = -5*f - 5*m. Suppose -2*o + o + b + 3 = 0, -f*b = -4*o + 7. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Suppose 0 = q*b + 3*u - 39, -2*u = -4*b + 3*u + 34. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100)*2 + 2)**2 - (1 + (-1 + sqrt(1100) - sqrt(1100)))**2.\nAnswer: 120*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67772767.\nAnswer: 113, 599759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 533 + -533.0629. Round o to three decimal places.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310352276 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(2*(-1*sqrt(300) + -3 - sqrt(300)) + -1)*1)**2.\nAnswer: 56000*sqrt(3) + 484900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 - -488. Let c be ((-8)\/10)\/((-38)\/x). Suppose 7*i - 1 = c*i. What is the least common multiple of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3759910 to the power of 1\/2, to the nearest integer?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 14 = -5*s, -2*n - 4 = 7*s - 5*s. Solve 35 + m**2 - 294*m + 324*m - 6*m**s = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2. Let j be n(-1). Let l(g) = -g**3 - g**2 + 2*g - 2. Let k be l(j). Let t = k - 21. What is the remainder when 50 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*z - 31*z = 225913. What is the remainder when z is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:02 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 129, 6.\nAnswer: -2, 6, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -600.998 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91467197*y**4 - 131150365 with respect to y.\nAnswer: 365868788*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -15*b + 164. Calculate the greatest common factor of 16 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8803?\nAnswer: 8803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 1. Let b(x) = 2*x + 4 - 1 - 54*x**3 + 0*x + 56*x**3. Give b(t) - 3*q(t).\nAnswer: 2*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21b9 (base 14) in base 7?\nAnswer: -23022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 4. Let h(a) = -9*a + 13. Let p(f) = -8*f + 12. Let u(m) = -3*h(m) + 4*p(m). Let i be 0 + -8*3\/(-6). What is i*u(x) + 9*g(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 4*w**2 + 2*w - 2. Let a be k(4). Suppose a*p - 154 = 236. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*l - 35 = -42, 0 = -5*f + l + 23. Solve -5*j - 35 = 2*q, 0 = -8*q + 4*q + f*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-286408)\/14*(-259)\/74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -41 (b) -5\/9 (c) 2 (d) 2\/11 (e) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:23 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-3) - (3 - (-30)\/(-9)). Let y(r) = -3*r + 10. Let z be y(t). Calculate the greatest common factor of z and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*n**2*v**6 + 73*n**2*v**2 - n**2*v + 10*n*v**2 + 437992*v**5 - 5*v wrt v.\nAnswer: -960*n**2*v**3 + 26279520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14132, 14177, 14222, 14267, 14312, 14357?\nAnswer: 14402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let i(x) = -14*x - 10. Let o(q) = -q - 1. Suppose 5*z + 4*h = 15, 0 = -2*z - z + h + 9. Let j(b) = z*i(b) - 30*o(b). Calculate j(p(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*w = 2, 4*v - 3*w - 6 = 2*w. What is the smallest common multiple of v and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(10\/9)*w)\/(w*w**(-4\/5)))\/((w\/w**(-2)*w)\/(w*w**(2\/5)*w)) assuming w is positive.\nAnswer: w**(14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47, -86, -119, -146, -167?\n\"Answer: 3*a**2 - 48*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.7 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162023638?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7411128*o**3 - 30390053*o**2 wrt o?\nAnswer: 44466768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/4 + 127\/16. Let x(f) be the second derivative of 1\/40*f**6 - 27*f - 3\/80*f**5 + 3\/4*f**2 + 1\/8*f**3 + 0 - t*f**4. Find l, given that x(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(156) + (sqrt(156) + sqrt(156)*3)*1 + sqrt(156)))\/((sqrt(132) + (2*sqrt(132)*2 - sqrt(132)) - sqrt(132))\/sqrt(11)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111110 - -10010?\nAnswer: 1000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2830006*p**2*z**2 + 5*p*z**2 + 225981 wrt p?\nAnswer: -5660012*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 - 26 = 3*j, -2*j + 3*a - 2 = 0. Let o(t) = 4*t - 2 + 1 + 6*t**3 + 2*t**2 - 1. Let m(s) = 17*s**3 + 6*s**2 + 11*s - 6. What is j*m(z) + 11*o(z)?\nAnswer: -2*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**4 + 27*v**3 - 2359*v**2 wrt v.\nAnswer: -96*v + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 + 8*o - 3. Let c be n(7). Let t = 217 + c. Solve 4*l - t = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12 - 1430\/(-121)) + -2 + (-358449)\/(-165000) and 57\/28.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 407*c**2 + 3350*c + 6. Calculate q(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 0. Let g = 31 + -18. What is the remainder when b is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 2*v + 14*q - 386, 0 = 5*q + 20. Suppose -4*b + 3*l = -v, -2*l + 3 = -l. Solve b = 16*n - 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 30*j. Let g(u) = -173*u**2 - 31*u + 1. Calculate g(i(m)).\nAnswer: -155700*m**2 - 930*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*s = -28, -3*s + s = -3*b + 16. Suppose -5*q - 2*z = -32 - 52, 72 = b*q + 4*z. Suppose 20 - q = 2*l. Sort -10, l, 4 in descending order.\nAnswer: 4, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9640 + 6229. Let l = j + 20587\/6. Find the common denominator of -123\/10 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:21 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 + 3. Let v(l) = -l**2 + l. Let i(w) = n(w) - 2*v(w). Let z be i(-3). Let r = 1.1 + -1. Is r > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -2*w - 5*i - 45, 5*w = -i + 15. What is the second derivative of -3*h + 2*h - 27*h**w + 27*h wrt h?\nAnswer: -324*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(77)*1*5 + sqrt(77) + (sqrt(77) - 2*sqrt(77)*-2))\/((-2*sqrt(99)*5)\/(-1*sqrt(576))).\nAnswer: 44*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24863405 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*t**3 - 38*t**2 + 446*t**3 + 14*t**2 + 22*t**2 - 13*t to the form x*t**3 + w*t**2 + g + b*t and give x.\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -27496 - 40284. Suppose 14*q - u = 9*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 74589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 762150 divided by -3\nAnswer: -254050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 159787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42, 0.07, 613755?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.011 less than -69?\nAnswer: -66.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 3. Let j be c(0). Let w(o) = o**2 - o. Let m(q) = -5*q**2 + 12*q - 3. Let h(b) = j*w(b) - m(b). Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 29*b**2 - 24*b - 91. Suppose 4*q = 3*h - 218, -h - 3*q + 98 = 2*q. Calculate the remainder when h is divided by k(28).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 54*n + 593. Let g be k(46). What is the greatest common divisor of 20 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 39*h**2 + 6755*h - 360. What is s(-104)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 129, -3 in ascending order.\nAnswer: -3, -2, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/430)\/((-5)\/550).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**7\/420 - o**6\/150 - o**5\/200 - 25*o. Factor i(y).\nAnswer: -y**3*(y + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -353417\/24 + 14731. What is the common denominator of -49\/162 and f?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -135. Let b = q - 63. Solve -b*m - m = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6893, -6917, -6957, -7013?\nAnswer: -7085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8923?\nAnswer: 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 8*w**2 + 6*w + 12. Let a be t(7). Suppose 2*m - 6 = -4*n + 6, 0 = n - a*m - 3. Solve -r + n - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64.74832km?\nAnswer: 64748320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 32*i - 7273. List the prime factors of i.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4032 + 781?\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*n + 34. Solve -20 = n*x - x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + -4.5. Let a = 2.8 + -2.8. What is the fourth smallest value in a, w, 5, 1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79170405 to the nearest integer?\nAnswer: 8898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(2\/39))**(-34) assuming n is positive.\nAnswer: n**(68\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 809115 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: In base 11, what is -1a + -241?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 13*j**2 + 10*j + 13. What are the prime factors of g(-11)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:54 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 65*g**2 + 0*g + 1\/360*g**6 + 0*g**4 + 0*g**3 + 0 + 1\/180*g**5. Let h(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 904363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 109364163 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24607101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23785 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -248, -75, -0.015?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2940?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*j**3 + 880*j**3 - 11 - 255*j**3 - 310*j**3.\nAnswer: 2*j**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5990 + -5990.1. Which is the third biggest value? (a) -1\/4 (b) 5 (c) -0.3 (d) n (e) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 299*w**2\/3 + 1282*w\/3 + 6800.\nAnswer: (w - 17)*(w + 6)*(9*w - 200)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 192. Suppose -d + 4*n = -432, 2*d - 11*n = -10*n + 843. Let j(l) = 422*l + d*l - l**2 - 842*l. What is j(s(v))?\nAnswer: -v**2 - 384*v - 36864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*h + 4*n, 3*h = n - 3 + 5. Suppose h*u = i + 28, -3*u = -4*i + u - 108. What is i rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 11*n + 26. Let w be p(-8). Suppose -t = w*t + 426. Let q = t + 300. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from gpqjn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 3*v + 8*v)*(3*v**2 - 2*v**2 + 2*v**2)*(-4 + 4 - 1) in the form n*v**3 + i*v**2 + t*v + x and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 + -175. Let x = a + 291. Solve 0 = -x*t + 3*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 613.435 + -616. What is d rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:25 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 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: -73 times -6\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, 2\/3, -1\/6, 1\/6, 2, -155.4, -709?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -45424 - -115.21\nAnswer: -45308.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 n when three letters picked without replacement from knkkkkkkkkkkkkkkkkk.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 713450 and 987565?\nAnswer: 3755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/72)\/((-6)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -p + 6. Let y = 16 - -25. Let t = 40 - y. Put t, p, -4 in descending order.\nAnswer: t, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y**2 + 3*y. Let w(g) = -23*g**2 + 5*g. Give -5*j(q) + 3*w(q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*l + 1892 = 0, 16*d + 1137 = 19*d - 3*l. Does 54 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 1324072930 + 1324072930.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*s = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15648 by -8.\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1159*z**3 - 2351*z**3 + 1186*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 17*n - 4. Let l(a) = -a**2 + 19*a - 4. Let m(h) = -5*l(h) + 6*x(h). Determine m(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011037 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54996 milligrams in nanograms?\nAnswer: 549960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19039 is divided by 799?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 9:37 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3972127 is divided by 290.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25 and -0.06516.\nAnswer: 24.93484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 2. Let c(o) = -2. Let p(l) = 3*c(l) - 2*q(l). Let j be p(-2). Suppose -s = 4*f - 11, 2*f = 4*s - j*f - 144. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(540) + sqrt(15))\/sqrt(3))**2 - sqrt(5))*3.\nAnswer: -3*sqrt(5) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 781 - -1316560?\nAnswer: 1317451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**4 - 20*l**3 + 35*l**2 + 170*l + 120 = 0.\nAnswer: -4, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**7))**(-9\/8) assuming b is positive.\nAnswer: b**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 49 = 4*z. Let y be (2 - (-45)\/(-12))*4. Let d = 9 + y. Solve -3*g + g = z*w + 15, 5*g - 15 = -d*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -944 divided by 59.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f - 3 = 0. Suppose -4 = -7*x + 3*x. Let z be -2 - ((-2)\/x + -1). What is the highest common factor of z and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**4\/6 - 7*t**3\/6 + 11*t**2 - 28*t. Let n(c) be the first derivative of u(c). Calculate n(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 6:00 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 17 - -12 - (-4 + (11 - 5)) - 21.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1162*c - 4141 = 3993 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(175)*-2.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 413.08 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzepojo. What is prob of sequence zeop?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, w: 3, d: 2}. What is prob of sequence wwwi?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6668 - -6760. Which is greater: t or 6\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14420 * -5\nAnswer: 72100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148.9 + -148.8. Which is the fourth biggest value? (a) 3 (b) i (c) 41 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e5 + -2a6b?\nAnswer: -2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3064, 3063, 3062, 3061, 3060?\nAnswer: 3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 202222112122 (base 3) to base 8\nAnswer: 1446521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgzfzzzzffzfzfzfzff. Give prob of sequence fzzz.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -73, -86, -105, -130, -161, -198?\n\"Answer: -3*a**2 - 4*a - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2059\/101647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -117. Let c = t + 60. Is c >= -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150 - -192. Calculate the highest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3417*z + 714185. Give y(-209).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 6 = p, -46*x = -44*x + 6 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46\/3 + 15. Let o = -1016 + 4091\/4. Let s = 7 - o. What is the smallest value in s, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*x**4 + 2*x**3 + 6*x**2 + 111 wrt x?\nAnswer: 456*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**4 + q**3 + 6*q + 0*q - 4*q**2 + 3*q**2 to k*q**4 + v*q**2 + b*q + p + m*q**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64268 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16 - (-4 + 7) - 1. Suppose -4*h - 2*k = h + 29, h = -5*k + 8. Let u = 7 + h. Solve -4*o - 3*i + 19 = 0, -3*o + 4*i - 5 - z = u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3603205665.\nAnswer: 3, 5, 41, 1952957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7814203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(2 + 0\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8328 - -10653. Round w to the nearest ten.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.3 and -2.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + (-20 - -11) + -3 + 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.88. Let p = -5.88 - u. Let i = p + 5.99999923. What is i rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 6 (c) -4\/7 (d) -0.04 (e) 2\/17 (f) -0.14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*x**3 - 96*x**2 - 8*x + 306600 with respect to x.\nAnswer: 114*x**2 - 192*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 3:00 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -20, -51, -94, -149?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 2:03 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 10*m**3 - m**3 + (4 - 1 - 1)*(-m + m + m**3) + 4*m**3 + 0*m**3 - 5*m**3 as k*m + o*m**2 + s + v*m**3 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(832)*2*-3 + -2*(sqrt(832) - (0 + sqrt(832)))**2 - (-4 + -1*sqrt(832))*5)*-3*3.\nAnswer: -72*sqrt(13) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2046 + -1112. Suppose -2*w - l - b = -5*w, -3*w + 4*l + 928 = 0. Calculate the highest common factor of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) 0.1 (b) -1444 (c) 2 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (10 + (-27 - -7) + 41).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -232 + 14*i + 106*i - 50*i. Calculate the least common multiple of 6 and l(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54888707*u**2 - 77344596*u**2 - 90441476*u**2.\nAnswer: -112897365*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 1874628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 8*g + 8. Let q(d) = -d - 10. Let r be q(-17). Calculate o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 136, 419, 894, 1561, 2420?\n\"Answer: 96*y**2 - 5*y + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/69619 - 761889\/68226620. Find the common denominator of -31\/22 and v.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -63, -69, -75?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r + 4709. Let b(w) = 43*w + 18861. Give 6*b(k) - 26*u(k).\nAnswer: -2*k - 9268","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(2736) + 0 + sqrt(2736) - sqrt(2736)) + -4 + sqrt(2736) - 4*(sqrt(2736) + 1))**2 + -1).\nAnswer: 1920*sqrt(19) + 55035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*5)\/(198\/(-66))*243\/(-135)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 12*r**2 + 10*r - 17. Let u be g(-11). Let a be -5 - 33\/u - (-22)\/(-28). What is the second smallest value in -1\/6, 1, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440018 divided by 213?\nAnswer: 440018\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.36584188592 and 0.62?\nAnswer: 6.74584188592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(-27) + (10\/(-16))\/(18\/(-144))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o. Let n(r) = 5*r**3 + 2*r - 1. Let d be n(1). Let k(y) = y**2 - 9*y + 12. Let t be k(d). Let m = t - -9. Calculate f(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8172450743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**4\/2 + 462*i**3 - 160083*i**2 + 24652782*i + 3396. Factor s(k).\nAnswer: -2*(k - 231)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -943 - -1613. Suppose 245 + b = 3*d. Suppose 3*x + q - d = -0*x, 4*x - 396 = -4*q. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.411 - -1.589. Sort -46, -1\/3, o in ascending order.\nAnswer: -46, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -113, 253, 863, 1837, 3295, 5357, 8143, 11773?\n\"Answer: 20*f**3 + 2*f**2 + 220*f - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -187621445.464.\nAnswer: -187621442.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(3\/11)\/z)\/z)\/z)\/z**(-2\/23))**(-20)*(z\/(z\/z**0*z))\/(z**(-5\/3)*z)*(z**(-1))**(-3\/2) assuming z is positive.\nAnswer: z**(81931\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(2*r**2 - 2*r**2 - 2*r**2) - 40 + 12*r**2 + 40 to the form a*r + f + i*r**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4026 and 132?\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (71\/30*-2)\/(16\/20) and 3\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/618 at most as big as -5948\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 6*o + 5. Let p(q) = q**3 - 8*q**2 + 8*q - 1. Let z be p(7). Let a be v(z). Solve 7 = a*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**3 - 1484*c**2 - 138380*c - 136900 = 0?\nAnswer: -185, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = -5*f + 4210, -4*l + 1656 = 2*f. Suppose -6*b = -4*b - f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103752 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.31164976 or 1?\nAnswer: -9.31164976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llmlm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 275, 175, -95, -619, -1481?\n\"Answer: -14*h**3 - h**2 + h + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -369, -357, -341?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6595 + 634?\nAnswer: -5961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/55)\/((-3)\/(-6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5520*d**3 - 5521*d**3 - 5517*d**3 + 21660*d**3 - 5108*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 36280?\nAnswer: -326520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from nzeonegonoegnnn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*((0 + sqrt(7))*1 + 0 - (-1 + sqrt(567) + 1 + sqrt(175) + sqrt(175))))**2.\nAnswer: 81648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3 + (-18)\/(-3))\/(-4))*80\/64?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 482074637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 10) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -493411, -986823, -1480235, -1973647, -2467059, -2960471?\n\"Answer: -493412*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 2.301.\nAnswer: 2.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 5. Let d(c) = -2*c - 11. Let r be d(-7). Let k = -7 - -2. Let q(t) = -t - 3. Determine k*q(g) + r*x(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5237 > -5233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - v + 8. Let j(t) = t**2 - 7. Let p(m) = -3*a(m) - 4*j(m). Let n be (-6)\/6*(2 - -1). Let q(b) = -b**2 - 4*b + 1. Let i be q(n). Give p(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 0)*(0 - 7 + 0)*(-4 - s + 195*s**2 + 190*s**2 - 383*s**2) to the form l*s**2 + g + j*s and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 8*p**2 - 10*p + 4. Give i(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 76?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - x + 2*x)*(3 - 4 - 1)*(-1625 + 1970 + 3751 - 1531 + 16174) to b + h*x and give h.\nAnswer: -112434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + 1 + 5 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38 + -161597?\nAnswer: -1615d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*l + 25, -l = i + i - 7. Suppose -3*v + l = -2*v. Suppose 3*f - 27 = -v*k, 0 = -2*k + 4*k. Calculate the highest common divisor of f and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**2 + 24*z + 3. Let v be s(-6). Find the common denominator of 4\/(1296\/v)*-51 - -3 and -79\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 42*v - 45*v = -72, -6*v + 86 + 54 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/1165 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63370*h**2 - 10335 with respect to h.\nAnswer: 126740*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (435\/(-319))\/(13\/((-7293)\/9)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3\/7)*(t**(-7)\/t)\/t)**(2\/61))**(24\/5) assuming t is positive.\nAnswer: t**(-2544\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10424114 is divided by 1721.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2\/7 - 39*x\/7 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 56*i = -5264. Is 65 a factor of (416\/(-10))\/(i\/(-1175))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776447052 a multiple of 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*r - 0*r - 221, 12326 = 458*r + 5*c + 37063 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 182 - 46*r - 182 + (3 + 10 + 1)*(6 - 1 - 3)*(4*r - 3*r + 0*r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 49*c = -6*c + 354 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85 and 4.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 5 (c) 0.5 (d) 2692 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157.78 + -157. Let q = r + -0.780276. Round q to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-5)\/(20\/(-8)). Let f(o) = 17*o + 2. Let n be f(2). What is the highest common divisor of v and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2506814 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/11, -6\/13, 3, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2376.4 + -2374.4. Sort -0.6, a, 0.3, -0.1, -20.\nAnswer: -20, -0.6, -0.1, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o = 323 + 411 + 316 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -3\/10*k**2 - 2 + 0*k - 1\/15*k**3. Find b such that y(b) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 3*m**3 - m**3 + (13 + 51 - 8)*(3*m - 3*m - m**3) + m**3 - 4*m**3 + 25*m**3 to the form w*m + f*m**2 + z*m**3 + u and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 147516107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 1. Let d(w) = 2*w - 6 + f. Let i(v) = -v**2. Give i(d(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -256 and 2?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3429.692 + -3409. Let x = 0.308 + l. Which is the nearest to 1? (a) 0.4 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 19*f**2 + 8*f + 152. Let l be s(-19). Solve 3*d + l*h = 4*h, 2*h - 26 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 10. Let d be y(-9). Suppose 0*b + 20 = 3*b - p, 2*b + 3*p = d. Let v = b + 3. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 369292436 or 369292435?\nAnswer: 369292435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 7*p + 113 = 2*j + 33, 17*j + 536 = -p + 27*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137080080 to the nearest integer?\nAnswer: 11708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/27*13334820\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 9*i**2 - 22*i + 179. Calculate b(8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/(-21)*9\/(-24)*(-1 + 7). Solve -t = -267*b + 266*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 66.358. Let v = 0.7 + -0.742. Let s = v + w. Which is the second smallest value? (a) 1\/7 (b) 0.3 (c) 0.4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 535874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 11 + 199*k - 57*k - 102*k in the form t + p*k and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -14*u**3 - 1990*u**2 - 2262*u - 846. What is k(-141)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 30*g**2 - 3*g + 90. Let h be i(30). Solve h = -18*k + 5*k + 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8356042 and -25000.01.\nAnswer: 8331041.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 - 5*h + 26. Let f be m(-3). Let n(c) = c**3 + 25*c**2 + 155*c - 9. Give n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 55*z**2 + 107*z + 153. What is the lowest common multiple of w(-53) and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 2. Suppose n*y + 3*v - 1266 = -0*y, -y + 246 = 3*v. Let z = y - -365. Round z to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8641 by 308.\nAnswer: 8641\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*j + j = 71, -2*f + 20 = 2*j. Suppose 6*r - 35 = -r. What is the remainder when f is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(243)*3 - (-1 + sqrt(243)*-3))**2.\nAnswer: -108*sqrt(3) + 8749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 49*o - 107*o + 50*o + 2*o**2 - 15*o**3 - 14 + o**4 to q*o**3 + z + j*o**2 + s*o**4 + f*o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-12)*-1*-6. Suppose -m + 3*t - a = -5*m, 4*t = -4*m. Solve -m*i + 9 = 3*l, -2*i - 3 + 6 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 76*y**2 + 352*y. Let u(w) = -7*w**2 - 32*w. Let a(g) = 3*s(g) + 32*u(g). Let a(l) = 0. Calculate l.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1068.88696 and 2.761.\nAnswer: -1066.12596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -119786, -479316, -1078540, -1917452, -2996046, -4314316, -5872256, -7669860?\n\"Answer: b**3 - 119853*b**2 + 22*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 29 - 400 - 4 = 0 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4043623 is divided by 263.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-205)*(-994414)\/724.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 5*3\/(2 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -173 and -35552.\nAnswer: 6150496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8092?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 8*f - 6 = -10*f, 4*m + 2*f + 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 13.437.\nAnswer: -13.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1618599, 1618601, 1618603, 1618605, 1618607?\nAnswer: 1618609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -2\/5*a**5 - 64\/15*a**3 + 0*a + 0 + 28\/15*a**4 + 13\/300*a**6 + 10*a**2 - 1\/525*a**7. Solve v(f) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose -3*p = 2*v - 16, 5*v - 6*v + c*p + 8 = 0. Let w = v - 3. Solve -4 = w*r - 5*y + 11, 0 = -2*r + 5*y - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 22*m + 268 = 0. Let v be (-2)\/(-10)*(m + -69). Put 2\/5, v, -3, 2 in decreasing order.\nAnswer: 2, 2\/5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53e5 (base 15) to base 14.\nAnswer: -668d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3 = 3*y + 17, 0 = 2*q - 2*y - 8. Suppose 20*k = 24*k - 104. Calculate the smallest common multiple of q and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22272 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -634755497, -634755495, -634755493, -634755491?\n\"Answer: 2*g - 634755499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -14*n**2 - 24*n + 207. What is s(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2265821, 2265830, 2265841, 2265854, 2265869, 2265886, 2265905?\nAnswer: 2265926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 394012161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 56. Solve 5*s - 6*s = t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**4\/26 - 206*k**3\/39 - 400*k**2\/13 - 792*k\/13 + 10101. Factor l(y).\nAnswer: -2*(y + 2)**2*(y + 99)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 + 118706*k - 12796920 = 0 for k.\nAnswer: 108, 59245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -5, 17, 1915, 1 in increasing order.\nAnswer: -5, 1, 17, 27, 1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*t - 2, 4*t + 20 = -8*l + 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -68*h**5\/15 - 85*h**4\/8 + 3*h**2 + 16*h. What is the second derivative of t(x) wrt x?\nAnswer: -544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e55 + -1?\nAnswer: e54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*k + 140*k + 5*h + 1 = 0, -11 = 5*k + h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 579874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, 2\/11, 5, 0?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 68. Let n = 121 + t. Let w = -59 + n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38356440 divided by -252345\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = r + 68. Let i = 100 + r. Let m = 115 + i. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238360 and 17110?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2 + f - 2. Suppose 27 + 3 = 10*j. Let u(x) = -x + 7*x - j*x - 2*x. Determine u(r(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 73*v + 942. Determine t(18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 n when four letters picked without replacement from niiiininniniiiiiin?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1768, 1691, 1614, 1537, 1460, 1383?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8188434 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10585?\nAnswer: 5, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 169*l - 26. Let x(w) = 169*w - 22. Determine -7*x(m) + 6*y(m).\nAnswer: -169*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**2 + 10*p**2 - 5*p**2)*(-p + 14*p + 97*p).\nAnswer: 1650*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y - 4. Let k(h) = 5*h + 5. Calculate 3*c(u) + 2*k(u).\nAnswer: -5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b - h + 13 = 0, -51 = -4*b - 5*h. Let g(w) = w**2 + w + 4. Let s be g(4). Find the second derivative of s*t - 24*t**4 + b*t**4 + 55*t**4 wrt t.\nAnswer: 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 3. Let k be m(6). Suppose -6*p = -k*p. Suppose p = -0*l - 4*l + 29200. Round l to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11954, 0.3, 1\/2?\nAnswer: -11954","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/324765 and -44\/1413.\nAnswer: 50988105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5318391 days in hours?\nAnswer: 12.7641384","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*i + 13138, -i - 9*b + 3296 = -4*b. List the prime factors of i.\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.5 (c) -17798.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and 0.26?\nAnswer: -6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 51. What is the third derivative of -6*w**2 + 8*w**2 - z*w**4 - 27*w**2 + 46*w**4 wrt w?\nAnswer: 648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1135330\/(-34755)*(18\/7)\/3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 68, 75?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5225874 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 18403075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40412209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*i**2*t**3*x - 34*i**2*x + 2*i**2 - 2*i*t**2 - i*x + 153*t**3*x - 4*t**2*x wrt t?\nAnswer: 258*i**2*x + 918*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 5*r**2 - 4*r + 4. Let s be p(-4). Suppose -s*u + 3*x + 69 = 0, 3*u + 3*x - 103 + 25 = 0. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74826 and 81053186?\nAnswer: 729478674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*w - 208 + 208)*((0 - 1 - 1)*(-5*w + 2*w + w) + (2 - 3 + 2)*(14*w + 4*w - 8*w)) to the form i*w**2 + o + b*w and give i.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -801*z + 22. Let v(q) = -801*q + 17. What is -3*p(n) + 4*v(n)?\nAnswer: -801*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 1\/2, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 3*m. Let x(k) = k. Let v(p) = -p**2 + 7*p. Let j be v(7). Suppose -4*s + j*s = -16. Suppose -7 - 17 = -s*t. Give t*x(g) - 2*u(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/5 + 3876*p**2\/5 + 2720283*p\/5 + 441056438\/5 = 0?\nAnswer: -313, 4502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - -1.4016. What is c rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11*w**2 - 1. Let x be t(1). Let s be x*(2 + (-9)\/6). Let n be (-2)\/3 + (-28)\/s. Solve -n*l = l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l = 0. Put l, 1, 5 in ascending order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h - g = -6924, -16 = -4*g. Suppose h = 4*b - 2274. What are the prime factors of b?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:03 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 103908363101.407 - -7\nAnswer: 103908363108.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/35 and ((-39)\/(-22828))\/(9\/(-2)*15\/(-9)).\nAnswer: 30730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 = 3*z, 3*z + 6 = 4*r + z. Put r, 3, 5 in decreasing order.\nAnswer: 5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 3*l - 5. Let y be g(-5). Which is bigger: y or 18\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239564 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/3 + 134*w + 404\/3 = 0. What is w?\nAnswer: -1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.5 + -0.5. Which is smaller: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37157659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/5 of a millisecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234939 is divided by 117465.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*i**5 + 8*i**4 - 3*i**3 - 4631*i wrt i?\nAnswer: -360*i**3 + 96*i**2 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2518 + -2514. Solve -2*f + 6 = -i*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 6*i**2 - 4*i + 1. Calculate j(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + i**2 + 0*i**2 + 7*i in the form y + k*i**2 + x*i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, l: 5}. Give prob of picking 2 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 1\/6*p**4 - 1\/3*p**3 + 0*p - 2*p**2 + 0 - 1\/30*p**5. Factor b(g).\nAnswer: -2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 7*d**2 - d + 13. Let t be f(7). Which is the third smallest value? (a) 1\/11 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4\/2 + 6*i**3 + 9*i**2 + 6*i + 3\/2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2627.708 decades?\nAnswer: 262.7708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppl when three letters picked without replacement from lplrlplp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(57)\/(sqrt(297)\/sqrt(11)))**2 + (3*(1*sqrt(76) + sqrt(76)) - sqrt(76) - sqrt(76))\/(sqrt(484)*-1).\nAnswer: -38\/9 - 4*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 116 = -4*d, 0 = 2*o - o. Let w = d + -16. Suppose 4*r - 17 = -m - r, -3*r = 2*m - w. Solve 10*i - 5*i - 2*x - 11 = 0, 0 = 4*i + m*x + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + 103\/5. Let s(l) = -9*l - 11. Let p be s(-5). Suppose -29 = -9*v + p. Calculate the highest common divisor of v and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**2 + 2*g + 1. Let d be (0 + -1)*0\/2. Suppose q + 4*q - 75 = d. What is the remainder when n(2) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 10 = -26. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 - 77*v - 47. Let i be a(-25). Let h be ((-5)\/i)\/((-340)\/1224). Solve -5*m = -4*p - 16, -2*p - 14 + h = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 259, 35.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 394954 + -262056. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -185 or -190?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 6, -4*y - 17 - 5 = -0*m - 4*m - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2))\/k)\/k**(1\/7))**(-40)*(k*k*(k\/(k\/((k\/(k*k\/k**(-1)*k))\/k))*k)\/k*k)**(-2\/131)*(k\/(k**(-2\/3)*k))**(-12) assuming k is positive.\nAnswer: k**(71278\/917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232109 - 243295 = 238*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5 - 562.\nAnswer: -563.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 478.5792 - 479. Let q = h - -0.42. What is q rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4713 - 57645 = -2346*h + 31524 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -23*t**3 - 205*t**2 + 9*t - 79. Let f be s(-9). Factor 16\/3*k + 2\/9*k**3 + 0 - 22\/9*k**f.\nAnswer: 2*k*(k - 8)*(k - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*n - 94*n - 2996*n**2 + 147*n.\nAnswer: -2996*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158.2 + -268.3. Let h = z - -110. Which is smaller: h or -0.81?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 9:36 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38646666 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.6359923 and -0.3.\nAnswer: 15.3359923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-6) + -2)\/(1\/(-327)). Let c = -74 + m. What is the remainder when c is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 7:07 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(-9)*c*c)\/c))\/c**(-3\/5))**(-40) assuming c is positive.\nAnswer: c**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34827, -69620, -104413, -139206?\nAnswer: -173999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2539*v. Let p(s) = -8*s**2 + 77*s. Give p(g(t)).\nAnswer: -51572168*t**2 - 195503*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4514 - 26*w**3 - 4514.\nAnswer: -26*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**2 - 10*o - 3. Let l(h) = -7*h**2 + 1. Let b be l(-1). Let x be a(b). Solve r + 11 = -x*c + 3, r - 5*c - 20 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28808 by -8.\nAnswer: -3601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 1. Let t(g) = g**2 - 5*g + 5. Let o = 127 - 128. Let a(c) = o*t(c) - 5*l(c). Let n(f) = 38*f**2. Determine a(n(x)).\nAnswer: -1444*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*p - 8*f - 176 = 133*p, 2*p = 3*f + 66 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (26 + -13 - -13 - 10) + -27.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/1567, 0.1 in descending order.\nAnswer: 0.4, 0.1, 2\/1567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -92, 0.293, -5?\nAnswer: 0.293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12225423 - -1310?\nAnswer: -12224113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1519*x = 1490*x + 87 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8 and -17 - (3\/2 - 6\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) + sqrt(84) + sqrt(84)*1 + sqrt(84))*4 - sqrt(84) - (sqrt(84)*-1*-1 - sqrt(84)))\/(sqrt(768) + 3*1*sqrt(768)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + 14\/8. Let l(w) = -2*w + 3*w**3 + c*w**2 - w**3 - 2*w**3 + 1 + w**3. Calculate l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(2*sqrt(13) + sqrt(13)))**2.\nAnswer: 12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 5830*d**2\/7 - 11548*d\/7.\nAnswer: -2*d*(d - 2)*(14*d - 2887)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - i + 52 = 2*i, 4 = 3*t - 5*i. Let x = t + -2. Let h(v) = 15*v + 1. Is h(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296 - 0.4?\nAnswer: 4295.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 102. Is q greater than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238286818?\nAnswer: 2, 107, 5786387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m + 17*m**2 + 2*m**2 + 29 + 11 + 5*m**3 - 6*m**3 - 29*m. Determine x(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11) - (sqrt(11) + sqrt(176))) - (1*sqrt(2057) + sqrt(2057) + sqrt(17)).\nAnswer: -93*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1404)\/(-18) - (-13377)\/(-343).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3*g + 9, -22*g + 4*f = -21*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173 and 599099?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 + 100 = 2*t - 4*n, 0 = -2*n - 4. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 13*i**2 + 405*i - 4630. What is y(11)?\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 69 = -5*s, -s + 60 = 3*k + 22. Suppose -5*d + 27 = 3*b, 0*d + d - k = -2*b. Factor -15*h**4 + 16*h**4 - 3*h**3 + 2*h**d + h**5 - h**2.\nAnswer: h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -37. Suppose v*m + 5*y - 37 = 0, 0 = 2*m - 5*m + 3*y - 6. Let w(b) = 4*b - 9. Let o be w(m). Solve o*g + 3 = -12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -3*q, -s - 2*s + 14 = 4*q. Let t be 3*q\/6*3. What is the first derivative of 3 - 4 - t*w**4 + 5*w**4 wrt w?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 6*d**2 + 6*d + 4. Let k be i(7). What is the nearest to 2\/3 in -0.5, k, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*y**4 + 8*y**3 - 189?\nAnswer: -60*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 184*h - 28. Let b(c) = -2*c**2 - 550*c - 79. Give 5*b(f) - 14*r(f).\nAnswer: 4*f**2 - 174*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37, 43, 49, 55?\n\"Answer: 6*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -1.934?\nAnswer: 6.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59445703 or 1?\nAnswer: 59445703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 96, 133, 184, 249?\n\"Answer: 7*j**2 + 2*j + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 1. Let t(v) = -2*v - 2. Let l(h) = -h - 1. Let b(q) = -3*l(q) + 2*t(q). Let x be (-4)\/(-18) - 16\/(-9). Calculate x*j(r) - 4*b(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g - 3*g - g - g + 4*g + (0 - 1 - 1)*(g - g - g) - 460 - 1038*g + 458 - 72*g + (3 - 3 + 1)*(-2*g + 3 - 3))*(2*g - 4 + 4).\nAnswer: -2220*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.4, -9.5, -5?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/11 + 18*g**3\/11.\nAnswer: -2*g**3*(g - 3)*(g + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -121. Let n be (-1)\/(-4)*z\/(-4). Which is smaller: 6 or n?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-10)\/(-15)*-6. Solve -a + 3*a + 4*n = 0, q = 4*n + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*p**2*z**3 - 2*p**2 + 5*p*t**2*z**2 - 2*t**2*z**3 + 94*z**3 - 51*z**2 wrt z?\nAnswer: 84*p**2 - 12*t**2 + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1652066 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*w + 1837 = 143*w - 5063. Solve x - 19 = -5*v, -4*x + 24 = -5*v + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 > 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 8:29 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 841951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/4))**(1\/45))**44 assuming y is positive.\nAnswer: y**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236 + 2*b**2 + 236 - 2*b + 11*b to the form k + l*b**2 + v*b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6455.1029 to the nearest 100.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -0.07, -1, 0.3, -1.43 in decreasing order.\nAnswer: 3\/2, 0.3, -0.07, -1, -1.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52864272?\nAnswer: 2, 3, 79, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -q - 23, 3*q - 38 + 57 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23067966 and 603.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 71*x**3 - x**2 - 2*x - 1. Let z be q(-1). Let v = z + 49. Let r = v - -22. Let f(i) = i**3 - i**2 - 1. Give f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Let a(u) be the third derivative of 1\/6*u**3 + o*u + 0 + 2*u**2 - 1\/12*u**4. Differentiate a(s) with respect to s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/((930\/36)\/(-31))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, 3, 10 in descending order.\nAnswer: 10, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 238350791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 120. Let q = j + 41.2. Suppose x + 48 = 50. What is the nearest to x in q, 4, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) 2\/11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**2 + 718. Let x(t) = -161*t**2 - 9*t - 9. Let y(c) = 81*c**2 + 4*c + 4. Let q(h) = -4*x(h) - 9*y(h). Calculate q(w(r)).\nAnswer: -340*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 8*v - 2. Let i be 3367\/(-37) - (3 - 2)\/1. Let r = 116 + i. What is the least common multiple of r and g(-6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-23 + 51)) + (2 - 23).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*d**2 + 0 + 296\/3*d**3 - 40\/3*d**4 + 384*d + 2\/3*d**5 = 0.\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grgdnn. What is prob of sequence ndnr?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -6.08, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 133, -3.8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 1 - 29\/3*l**3 + 0*l**5 + 0*l - 3*l**6 + 0*l**4 + 0*l**2. What is the third derivative of w(r) wrt r?\nAnswer: -1080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c9cb53 + -9?\nAnswer: c9cb48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 12.6. What is g rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 7*f**2 - 9*f - 8. Let n be p(-8). Solve n*k + 5*k - 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -972*j**2 + 1376. Let x(n) = -7*n. What is x(z(r))?\nAnswer: 6804*r**2 - 9632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35728 (base 9) in base 5?\nAnswer: 1231141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025002473 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.46 - -1.91. Let u = d - 1.55. Which is the closest to 1? (a) 0.5 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.042 in 0.06, 7\/3, 0.03, -0.032, -1\/10?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*l**3 - 26*l**3 + 37*l**3)*(11*l - 3*l - 3*l) as m*l**4 + z*l**3 + h*l**2 + d*l + g and give m.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.012 at least as big as 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8814*b**2*m - 91*b*m + 2526866*m wrt b?\nAnswer: -17628*b*m - 91*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 37 = 3*b - 45, -2*b - 2*k + 64 = 0. Suppose 83*w - 93*w + b = 0. Solve 9*c + w = -24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*1 + sqrt(209))*5)\/(-5*sqrt(176) + sqrt(11)).\nAnswer: -10*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -44. Let f be (-1 - (-5 + 2)) + -2. Solve 3*p + v = -f*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 1, j: 1, g: 2, f: 1, v: 1}. Give prob of picking 2 g and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.4 - 9. Let i = 8 - g. Let w be -2 - -3*2\/3. Which is the third smallest value? (a) w (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m - 521237 = -55595. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6297 - -6305. Let b(o) = -11*o - 38. Let s(i) = 4*i + 13. Calculate m*s(v) + 3*b(v).\nAnswer: -v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*u - 60 + 156, -4*u - 62 = 3*z. Let a = z - -57. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {b: 2, l: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 15*k**2 + 15*k - 16. Let r be m(-16). Suppose r = 2*o - d - 2*d - 305, -d = -3*o + 447. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d - 12 = o, d = 5*o - 45. Suppose 15*r - 20*r = -4*u - 56, -4*r = -32. What is the hundreds digit of (12\/o)\/((-2)\/u) + 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 13) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213 is divided by 554?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 2*u**2 + 36*u + 9. Let l be t(-7). Let b(j) = 18 - 41 - 5*j + 28 - l*j**2. Let d(x) = -3*x**2 - 9*x + 9. Determine 5*b(o) - 3*d(o).\nAnswer: -o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i. Let a(q) = 2*q - 5*q + 2*q. Determine a(b(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-3)*(-300)\/1750.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - v + 4. Let f = -16 + 10. Let x be z(f). Let w = x - 59. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -44, -148, -344, -662, -1132?\nAnswer: -1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(16\/33 - 4\/(-22)). What is the smallest common multiple of (-2 + -3)*-3 + -3 + y and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306209.685 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21))\/(7\/98).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.4, -4, 295, 1\/4 in decreasing order.\nAnswer: 295, 5, 0.4, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 2, 6, -1.7.\nAnswer: -1.7, 1\/8, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-217)*26187\/11223?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b75a - -4566?\nAnswer: 24104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -77, -57, -19, 43, 135?\n\"Answer: h**3 + 3*h**2 + 4*h - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**2. Let n(r) = 7726*r**2. Give n(g(h)).\nAnswer: 193150*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 4*s + 4. Suppose -53 + s = -2*k. Suppose 4*u = 2 + k. Calculate the greatest common divisor of 63 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34683295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564 + -47154.515?\nAnswer: -45590.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22483901.\nAnswer: 11, 37, 55243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355242 - 1.\nAnswer: -355243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.23 and 0.18514.\nAnswer: 0.2277222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 180\/14 + (80\/(-28) - -3). Let t(n) = -15*n**3 + 13*n**2 - 11*n. Let s(r) = 7*r**3 - 6*r**2 + 5*r. Determine c*s(j) + 6*t(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 20728, 4.\nAnswer: -5, 1, 4, 20728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 4, -80, 0.13, 0.143?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = j + 48 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a + 2. Let p(i) = i**2 - 28*i - 648. Give -p(q) - 4*t(q).\nAnswer: -q**2 + 640","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 smaller than 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*x = 4*x - 289, 68 = t - 4*x. What is the greatest common divisor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6832.408 - 5.\nAnswer: 6827.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eon when three letters picked without replacement from nyeeyeoeme?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) 0.16 (c) 5 (d) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -22*j + 51. What is u(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22001 (base 4) in base 2?\nAnswer: -1010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2324 (base 5) to base 11.\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 + 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 890 and 0.123?\nAnswer: 109.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.48 in 0.3, -1\/6, 1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/473898 and 91\/199536.\nAnswer: 3791184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 10*u + 2. Let t = -7 + 10. Calculate the smallest common multiple of t and s(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 515 = 5*v - p, p - 495 = -5*v. Round v to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28*(-24)\/756)\/(608\/24)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(374)\/(sqrt(396) + (-1*sqrt(396) - sqrt(396))))\/(((sqrt(162) + 4*sqrt(162) - sqrt(162)) + sqrt(162) - sqrt(162))*-1))**2.\nAnswer: 17\/46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zihi when four letters picked without replacement from {c: 4, z: 1, i: 8, m: 4, h: 2}.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 13*o + 22. What is p(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10811 - 4?\nAnswer: -10815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 - 5161*t + 46419. Determine g(636).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23438, 23412, 23370, 23312, 23238, 23148?\nAnswer: 23042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36813651*l**2 + 58671673*l.\nAnswer: -73627302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-57)\/9 - -6)\/(2\/(-282)). What is the highest common factor of 47 and n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**2 - p**2 - 3 + 2*p - 2*p**2 + p + 0*p. Let y(o) = -4*o**2 + o - 1. Give 3*h(t) - 8*y(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -18*w**5 - 968*w**4 - 8226*w**3 + 47884*w**2 - 60408*w + 11152 = 0.\nAnswer: -41, -17, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*k**4 + k**3 + k - 255.\nAnswer: -1200*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8 and 17359.\nAnswer: -48605.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {d: 4, c: 4, v: 4, j: 8}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/(-546)*12\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/2 + 8\/3. Put -2\/9, g, 5\/3 in increasing order.\nAnswer: -2\/9, g, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, k: 1, p: 1, z: 2, e: 2}. What is prob of picking 1 e and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 282358874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65420 is divided by 8923?\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - t + t + t**2 - 2*t + 2*t**2. Let i = 168 - 167. Let y be c(i). Solve y*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(1377))**2.\nAnswer: 33048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 17570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25)*-2)\/sqrt(5) - (-1*sqrt(80))**2)*2.\nAnswer: -160 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37*o**2 + 12 + 21)*(-2*o + 3*o + 0*o + (3*o - 4*o + 3*o)*(3 - 3 - 2)).\nAnswer: -111*o**3 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 8) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -19 in descending order.\nAnswer: 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.3 + 1. Let a = -11 + m. Let l = a - -0.8. Is -0.3 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 198 + 5803?\nAnswer: 599b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -209 + 215. Let t be 24\/54*a\/(-12). Do -20\/11 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*x - 229*x + 2*x**3 + 11*x - 41*x to l + d*x**3 + o*x + q*x**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 72*n + 5. Calculate b(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 12*o**2 + 9*o - 13. Let m = -33 + 68. Calculate the remainder when m is divided by s(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**3 + o**2 - o + 8. What is the remainder when i(-4) is divided by 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 494081 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 304080.\nAnswer: 304080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 47, 5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(96) + 2*(sqrt(96)*2 - sqrt(96) - sqrt(96))))\/(sqrt(21)\/((sqrt(7) + sqrt(7)*-3)*-1)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 37. Let n be s(-3). Let m be n\/5*-3*(-8)\/12. Calculate the highest common divisor of m and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 24 = 5*n. Solve 0 = n*d - 5*o - 20, 2*o = -3*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19026337535 + -296?\nAnswer: 19026337239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**2\/3 - 36024*h + 486648216 = 0?\nAnswer: 27018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:11 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/20820 and 56\/57255.\nAnswer: 229020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let y(s) = -s**2 - 10*s - 11. Let l be y(-8). Let v be (-96)\/(-140) + (-2)\/l. What is the nearest to 2 in n, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*i - 1344 = -4*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6107506639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + -316)*-2*7\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14*1)\/(0 - -1). Suppose 4*v - 6 = y. Suppose -v = 3*i - 4*i. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 126?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -59.99942. Round x to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 56350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 3*d + 3. Let a be f(3). Suppose -n = -a*n + 18. Let p(s) = s**2 + 40*s + 42. What is the remainder when n is divided by p(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let g be k(0). Suppose g = -4*r - 4 + 16. Let y = 11 - r. What is the remainder when 31 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**22\/d)\/(d\/((d**(3\/10)*d)\/d))*d**40*d*d*d**9*d*d assuming d is positive.\nAnswer: d**(733\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*sqrt(704)*-1)**2 - (1 + sqrt(275) + ((2 + sqrt(275) + sqrt(275))*-3 + sqrt(275))**2).\nAnswer: 175*sqrt(11) + 18457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 249675, 249681, 249687?\nAnswer: 249693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 388, 379, 348, 283, 172, 3, -236, -557?\n\"Answer: -2*o**3 + o**2 + 2*o + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2908 + 3044.7. Let j = g + -145. Let a = 8.63 + j. What is a rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3ad37 (base 15) to base 6\nAnswer: -4013054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, l: 3, n: 1, w: 4, x: 5, b: 2}. Give prob of picking 3 x and 1 n.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*h**2*s - 4*h**2 + 15*h*s + 106*s + 49 wrt h?\nAnswer: 24*h*s - 8*h + 15*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b8 + 549?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 49*f. Let v(u) be the first derivative of -3*u**2 + 31*u - 53 + 4*u**2 - 31*u. Calculate v(z(j)).\nAnswer: -4*j**2 - 98*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32050 and 29.2?\nAnswer: -935860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/60 - 7*f**4\/24 - 2*f**3\/3 - 3*f**2. What is the lowest common multiple of (-2)\/(0 + -2) - -6 and w(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/21 and -45\/1323056?\nAnswer: 3969168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14239.\nAnswer: 29, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113008?\nAnswer: 2, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*j**3*q*s - 8*j**3*q + 7455*j**3*s**2 + j**3 - j**2*q**3*s**2 - j*q**3*s wrt s.\nAnswer: 14910*j**3 - 2*j**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*j - 11. Let f be (-2)\/8 - j\/28. Which is the third biggest value? (a) -2 (b) 2\/9 (c) -4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 91\/4 of a day?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.3 from -300803.\nAnswer: -300801.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-20)*(-6)\/12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 10:15 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -55 + 658c?\nAnswer: 6537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c. Let s(n) = 92933*n - 2. Determine u(s(q)).\nAnswer: 371732*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*r. Let c = 7 - r. Suppose 3*j - c*j = -112. Solve 0*s - 11 = -3*s + 5*n, 4*n + j = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((-19)\/3 + -1)) + (-5 - 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 0*x - x + 13*x - 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c - 11. Calculate the remainder when q(7) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3accc + 54?\nAnswer: 3b053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-6 + 2 - (-1 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573 + 13*v**3 + 583 - 1158.\nAnswer: 13*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*o + 13, -2*n - 12 = -10. Suppose -529 = -2*y - o*k, -9 = 7*k - 4*k. Is y a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/21*570\/2375)\/((-3)\/30)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 2*a + 2. Let d(v) = -6*v**2 + 5*v + 7. What is 3*d(s) - 8*h(s)?\nAnswer: -2*s**2 - s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*(-64)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2 = -9*u + 11*u, 8*u - 4*u = 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118773\/38 - -3126. Let k = l - -2\/19. Let p be 10044\/(-3720) - 3\/10. What is the third biggest value in k, p, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzw when three letters picked without replacement from {i: 2, g: 4, z: 2, w: 3, e: 1, d: 6}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(15\/10)\/(33\/6)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -79*y + 78*y. Calculate the remainder when 837 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 22*v - 568, 5*u + 159*v = 156*v + 73 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 = -3*d - 1, -3*b = -3*d + 9. Solve -h - d*k = 17, -3*h + h - 19 = 3*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 257 = -51. Suppose 26 = 4*b - 2*t, -b - 32 = -4*b + 4*t. Suppose -2*n + n + b*f + c = 0, f + 24 = -4*n. What is the smallest value in n, 5, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 7 + 17 - 2 = 6*k, -4*k = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(8\/11)*(-80739)\/(-108). Let y = b - 4110. Calculate the common denominator of -99\/56 and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 391 divided by -912\nAnswer: -391\/912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 5*c + 3. Let g be z(3). Suppose g*b = 3*b. Suppose 0 = 2*q + 4*n + 10, -2*n + 4*n + 1 = -5*q. Solve b*t = -t - q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6827, -6830, -6833, -6836, -6839, -6842?\n\"Answer: -3*l - 6824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5563756139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 - -3.7. Let t = -3184 - -3183. Which is the second biggest value? (a) j (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-171)*(-6992)\/2944.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - z + 1. Let r = 11 - 8. Let t(o) = 7 - r - 3. Calculate -f(j) + 2*t(j).\nAnswer: 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2241.2 and -0.3?\nAnswer: 672.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2524375027.\nAnswer: 271, 9315037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13717 + -93906583\/6846. Let j = -25293\/5705 - v. Let u = -556157\/36 + 15445. Find the common denominator of u and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599031.3 months in millennia?\nAnswer: 49.919275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*i + 1 = 0, 4*q + 158*i = 154*i + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4423 - 200929 - 45459 + 2*z - 5*z.\nAnswer: -3*z - 241965","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1416 - 1416 + 8*z**3 - 17*z**3 + 8*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/(-40)*-8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, -1, 1.6, 14 in increasing order.\nAnswer: -1, 1\/19, 1.6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -66*l + 68*l, c - 20 = 6*l. Solve -3*y - 10 = c for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -48 + 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 10*d = -32*d + 70374. List the prime factors of d.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122146 and 1556.\nAnswer: 244292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 - 141359.\nAnswer: -141617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c9f - -4?\nAnswer: 7ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/7 - 38832*y - 1319433696 = 0.\nAnswer: -67956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1385747*q - 5642628 wrt q.\nAnswer: 1385747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = -2. Is f less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/7 + 1107*u\/7 - 1110\/7 = 0. Calculate u.\nAnswer: -370, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 620273 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Suppose i*s - 4 - 2 = 0. Suppose 6*q - s*q = 24. Is q < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idv when three letters picked without replacement from {q: 2, d: 2, v: 2, i: 2, m: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 65, 90, 135, 206?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v + 1. Let x = 20 + -4. Suppose -2*j = -w + x, -w - 5 = -3*j - 17. Calculate the remainder when w is divided by u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 5, -2, -1\/9, 19\/2, 0.0196?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122571 = -173*r - 116862 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*n = 4 - 27, -26*j + 109 = -49*n + 54*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*w**3 - 931.\nAnswer: -141*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z - 2 + 2 - 2*z**2 - z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 31. Let x = o + -29. Let i = -1 - x. Calculate the remainder when 43 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 22*t**2 - 2. Calculate l(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 49 = 5. Is (6252\/(-8))\/(j\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 - -12.1. Let r = m + -6. Suppose q + 4*j - 16 = -q, 2*j = -5*q + 16. Which is the second smallest value? (a) 0.4 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 53. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-212)\/(-32)*1 + 15\/40. Solve -u*k = 11 + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -107*g + 34*g. Suppose 4*d - 2*o - 2 = -0*o, -5*o - 5 = 3*d. Let k be (14\/4 - d)*2. Solve 22 = -g*b + k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102 (base 4) in base 5?\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m, -47108 = -4*i - 14*m + 11*m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 58 = -5*k - 20, -4*z + k + 70 = 0. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*u + 448 = 16*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 18*h + 2. Let k be g(-13). Suppose 8*x - k = 6*x. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 25*s**5\/7 - 1955*s**4\/7 + 14374*s**3\/7 - 1556*s**2\/7 - 8648*s\/7 - 320 = 0.\nAnswer: -2\/5, 1, 8, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -2 - (-31 - -29) - -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((15 - 0) + 84 + -104 + 21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**5\/60 - w**4\/18 - w**3\/18 - 5*w - 1. Let b(v) be the first derivative of u(v). Factor b(q).\nAnswer: -q*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 1. Suppose -r + 6*r = 5. Let g be f(r). Solve 1 = -w + s, g*w = 5*s - 4 - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - -4. Let w(i) = -i**2 + 3*i - 2. Let k be w(2). Suppose k = -2*j - y + m, -3*j - y + 53 = -65. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50687455 to the power of 1\/2, to the nearest integer?\nAnswer: 7120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-33)\/27 + (15 - (-22155)\/(-1512))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*o + 16 = -4*h - 6*o, -5*h - 40 = o for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43.77 in -1, -5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103293489?\nAnswer: 17, 67, 883, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5) + 2 + (sqrt(5) - (-5 + sqrt(5)*1) - sqrt(5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*x**3 + 3*x**3 - 47*x + 172*x + 59*x + 205*x in the form y*x**2 + v*x + n*x**3 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:08 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*y = 134*y - 489*y - 1086*y - 35305 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*b**3 + 0 - 1\/3*b**5 - 4\/3*b**4 + 4\/3*b**2 + b = 0. What is b?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138047414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - f6?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80139 + -49077. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57365489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 4d01?\nAnswer: -4cfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*104\/(-14) + (-4)\/(-14). Suppose -h - 14*h - b = 0. Let r be ((24\/(-21))\/(-2))\/(h\/(-7)). Solve -l - 3 = r*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 4 (c) -3\/5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4*1\/(-56))\/(1\/(-2))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (15 - (0 - 0 - -13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -101.7 and -11021208?\nAnswer: 11021106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 23 = 2*u, -i + 7 = -u - 2*i. Let o = -9.18 + -0.32. Let a = o + 9. What is the nearest to -2\/3 in -3, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**3 + 5*c**2 - 2*c. Let h(t) = 10*t**3 - t + 13*t**3 + 0*t + 2*t**2 - 26*t**3. Determine -5*h(x) + 2*p(x).\nAnswer: 3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/170)\/(1\/((-6)\/(-9)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:37 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 9 - 9 + 3 + 14 + 15.\nAnswer: -2*l + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (2 + 0\/1)*7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - f**2 - 19 + 20 - f**3 + 0*f**3. What is k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(24\/7)*(-2451)\/(-45752)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (603\/6)\/(6\/4). Let h = g - 52. What is the remainder when 79 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/28 and -139\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 2. Let l(q) be the first derivative of -q**3\/3 + 15*q**2\/2 - 4*q + 9. Let o be l(15). Let u(f) = -f + 2. Calculate o*w(g) + 5*u(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/7 - 183627*p\/7 - 13215960\/7 = 0.\nAnswer: -183555, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48023 + 475?\nAnswer: 48508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -54390529?\nAnswer: 54390530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + f - 6*f**2 + 5*f**2. Let p(k) = -5 + 2*k + 5. What is p(n(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1313, 2619, 3933, 5261, 6609?\nAnswer: 7983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/55 and 17\/6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 5*h + 7, 2*z + z - h = 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 36163802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 14*p - 4*p**2 + 0*p**7 - 1\/2*p**6 + 0 + 0*p**4 - 5\/12*p**5 + 0*p**3 - 1\/336*p**8. Find the third derivative of c(r) wrt r.\nAnswer: -60*r**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/6*5370*5\/20. Let l = a + 32180\/9. What is the closest to 1 in -3, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z - 9*z + z**2)*(5*z + 3*z - 6*z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/8, -3\/5, -42, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -36) + (1 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 0.1 (c) 3 (d) 0.078 (e) 0.043\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(25) - (sqrt(2025) - sqrt(2025)*-6))\/(sqrt(5) - sqrt(20)\/(sqrt(4)*2)).\nAnswer: 124*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3*-139\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33950.8 rounded to the nearest 100?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.71871 meters in millimeters?\nAnswer: 74718.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20290.2km in millimeters?\nAnswer: 20290200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-7)\/7*2\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*v - 342*v - 334*v = 260 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 17*o + 71. Let m be x(-7). Let i = -188 + m. Solve 5*l - n + 0 = 3, 4*n = -l + i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {x: 3, o: 2, a: 2, i: 1, b: 12}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*d - 402*d + 139*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - (-5)\/3. Let b = 145 - 601. What is the least common multiple of 16 and l\/(-7) - b\/28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 35079?\nAnswer: -35076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**6\/120 + l**5\/15 - l**4\/24 + l**3\/3 - 3*l**2\/2 + 5*l. Let g(v) be the first derivative of a(v). Calculate g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-35))\/(13\/((-130)\/(-36))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2979 and 3641?\nAnswer: 32769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/16*4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*o + 30 + 7, 3*h - 12 = 3*o. Let j be (-16)\/h + -1 + 3. Which is the nearest to -2\/9? (a) j (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12176 or -413989\/34?\nAnswer: -12176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2 + 2*d + 2 + d**2 + 0*d + d**3. Let u = 11 + -1. Calculate the smallest common multiple of u and i(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:42 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2873 plus -21309686?\nAnswer: -21309691.2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 21*x**2 - 21*x - 42. Calculate h(-11).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3683339648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -32)\/(-19 - -16). Solve 4*p = -31 + z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 5*n + 35. What are the prime factors of v(0)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/(8\/224*-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 7*c + 6*c + 0*c to the form s*c + y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26089, 26096, 26107, 26122, 26141, 26164, 26191?\nAnswer: 26222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -0.2 (b) -3\/4 (c) -8\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -13*o**3 + 206*o**2 + 37*o - 120. Determine w(16).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 9*v - 3. Let k be w(9). Let d be ((-4)\/k)\/(1\/18). Calculate the greatest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k**2 - 10*k - 18. Give o(-5).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.7 + 22.7. Let s = 0.2 + 0.4. Let v = -0.1 + s. Which is the nearest to -1\/4? (a) 0 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -109 + 35*w - 10*w + 50 + 53 + 9*w**2 = 0.\nAnswer: -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/5 - 3*q**2 - 3*q\/5 + 3 = 0 for q.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:36 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*i**5\/4 - 20421*i**4 + 190083*i**3 - 226224*i**2 + 72384*i = 0. What is i?\nAnswer: 0, 2\/3, 8, 3016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 51. Let j be m(10). Let g be ((-79)\/2)\/((-9)\/216). Let v be g\/5 - 3\/5. Calculate the highest common divisor of v and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let h(i) be the first derivative of 9*i**2\/2 + 6*i - 1. Let l(s) = -8*s - 5. Let r(b) = 5*h(b) + 6*l(b). Give m(r(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4501.\nAnswer: 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 76, 102, 128, 154?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 1, a: 3, c: 2, e: 1}. Give prob of picking 1 e and 1 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1816, -1834, -1888, -1996, -2176, -2446, -2824, -3328?\nAnswer: -3976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 9*p**2 + 11. Calculate t(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 7. What is the units digit of 2 + ((-2)\/1 - v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 244*m + 7948. Let x be c(-31). What is the greatest common divisor of 696 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613860 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(((-3)\/5)\/(8\/(-40)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -18*t**5\/5 - 11*t**2\/2 + 19. Find the second derivative of m(s) wrt s.\nAnswer: -216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -343\/4 + 86. Factor -1\/4 + c*s - 1\/4*s**3 + 1\/4*s**2.\nAnswer: -(s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -408725\/308 + 368\/77. Let u = -1307 - w. What is the common denominator of 71\/2 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((-54285)\/3080).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 366 = 146 + 148. Calculate the greatest common divisor of w and 5632.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 46?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 223*1*(-4 - -5). Suppose h = 3*c - 59. Suppose -c = -d - d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25557 less than -19131?\nAnswer: -44688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -175135780 to the nearest one hundred thousand.\nAnswer: -175100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85, -662, -1623, -2968, -4697, -6810?\n\"Answer: -192*l**2 - l + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2) + -2 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 - 74 = -9*l - 113*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 4*r - 3, r = 5*p - 61. Suppose 6*y = y + 125. Let b = -25 + y. Solve b = 3*f + 2*u + 1, f = -4*u + p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -22 (b) -4 (c) -1\/235 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (10 - (-2 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 145 - 37. What is the remainder when 50 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -52*u + 2640. What is l(56)?\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53035, -53029, -53011, -52975, -52915?\n\"Answer: q**3 - q - 53035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*27\/6561)\/((264\/(-11220))\/(24\/10)).\nAnswer: -68\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 355 - 247 = -5*b, -6*m - 7*b - 102 = -2*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 3172?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 211232333?\nAnswer: 211232330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282291 is divided by 4553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101\/3 + 499\/15. What is the closest to -3\/2 in -3, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**3*u**3*y**2 + 420817*a**3*y**2 + a**2*u**2*y - a*u**3 + 964721*u**3*y**2 wrt a?\nAnswer: 84*u**3*y**2 + 2524902*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*y - 7, -43 = 2*a - 45 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udsdsuri. What is prob of picking 1 u and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/8)*(y**(1\/7)*y*y)\/y)\/(y**2*y**(1\/8))*(y**7\/y**(-2))**15 assuming y is positive.\nAnswer: y**(939\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74235738 is divided by 56?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 99*s + 81. What is l(38)?\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7859391 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, z: 3, f: 3}. Give prob of sequence fzf.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94.151 + 98.151. Let s be ((-2)\/((-2)\/5))\/(-3). Which is the nearest to s? (a) w (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 243.\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21072.07 tonnes to micrograms.\nAnswer: 21072070000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 43*q**2 + 89*q - 285. Let u be o(41). Solve u*j = 4*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**8\/48 - 2*v**5\/15 + 8*v**2. What is the third derivative of r(t) wrt t?\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q - 3. Let s(n) = -n**3 + 0 - 5*n**2 + 3 + 0*n**q. Let v = 71 - 76. Give s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 874116 divided by 4\nAnswer: 218529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11806, -11807, -11808, -11809, -11810, -11811?\nAnswer: -11812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 1. Let n(a) = -3*a - 2. Let h be n(-2). Let c(j) = 5*j + 0 + 5 + 4 - h. Suppose -4*q + 19 = -o + 1, -2*q = -5*o. Calculate o*c(p) - 9*t(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izazftvai. Give prob of sequence fi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/7 (c) 0.7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 288389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Let p(z) = z**2 - z. Let l be p(v). Solve l = -4*r + 5*i - i, 3*i = 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 28953584?\nAnswer: 57907168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-y**5 + 5*y**5 + 0*y**5) + (150*y**4 + 117*y**4 + 78*y**4 + 55*y**4)*(-5*y + y + 2*y) - 9*y**5 - 12*y**5 + 7*y**5.\nAnswer: -810*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 5. Let b be t(7). What is the greatest common factor of b and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2.9. Let u be 102\/85*(0 + 30\/9). Suppose -u*k - 1 = s, k - 5*s - 14 - 12 = 0. What is the nearest to 5 in k, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8333, 33633, 75799, 134831, 210729?\n\"Answer: 8433*k**2 + k - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8889 (base 13) in base 12?\nAnswer: -b029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3430 and -89.\nAnswer: -305270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfe when three letters picked without replacement from {y: 3, f: 6, z: 3, e: 2, q: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71297 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-2)\/(-2) - 2). Let u be (1 - f)\/(5\/5). Factor 1\/3*n**3 - 1\/3*n + u*n**2 + 0.\nAnswer: n*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*u - 5024 = 194 + 5937 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-158 - -1)*3\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1216, 2460, 3708, 4960, 6216, 7476, 8740?\n\"Answer: 2*m**2 + 1238*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*2*1*16\/32.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -390, -392, -394, -396, -398?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(-30) - (-3)\/(-6). Let b = -6384 - -6385. What is the fourth smallest value in g, b, -2\/13, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18331017 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/45*(-8 + 4 + 1). What is the second smallest value in p, 2\/5, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 1490\/220)*2\/(-10). What is the second smallest value in l, -2\/7, 0, 1\/2, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d - 132*d + 384 = -66*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3450 and 2283930?\nAnswer: 262651950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 1. Let p be i(3). Suppose -m + p = -1. Solve 4*x = -z - m*z + 12, -3*x = 2*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -851*z + 852*z + 2*d + 2*d + 4, -z - d - 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116072653, -116072651, -116072649, -116072647, -116072645, -116072643?\nAnswer: -116072641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(8\/3)*p*p**2*p assuming p is positive.\nAnswer: p**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 30*a - 107. Let h be s(5). Solve 0*m + 3*m - 4*w + 20 = 0, -4*m + w - h = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b + 132?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23 - ((29 - -53) + -43)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 3635413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 602700 divided by 287\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 - -1 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**2 + 22*m - 6. Let g be h(4). Which is smaller: -17 or g?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125852669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99)*2 - sqrt(99))**2*1) + sqrt(110)\/(sqrt(40)\/sqrt(4)) + 3 + sqrt(33)\/sqrt(3).\nAnswer: -96 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 4*p + 0*p)*(0 + 1 - 3)*(1020*p - 276*p + 221*p) in the form x*p + c + y*p**2 and give y.\nAnswer: 1930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:25 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d037 (base 15) to base 5.\nAnswer: -2401202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31740053 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 5*r**2 - 3*r - 2. Let n be h(-3). Let c = n - -32. What is the third derivative of 11*k**2 - 5*k**5 + c*k - 21*k wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/92888 and -59\/54640.\nAnswer: 928880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5503*z - 40 = -4*b + 5507*z, 0 = -4*z for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a - 228. Suppose 2*h + 5*b + 11 = 0, 0*b - 8 = 2*h + 4*b. Suppose -5*m = -h*m - a. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -17.\nAnswer: -78\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-23)\/(-7) + -3)\/(2\/28). Let o(f) = -3*f**3 + 22*f + 11. Let x(l) = -l**3 + 8*l + 4. Let g(u) = h*o(u) - 11*x(u). Solve g(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -38*k**2 - 28*k**2 + 110*k**2 - 32*k**2. Let v(h) be the third derivative of -h**5\/60 + h**2. What is v(l(o))?\nAnswer: -144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + 9938 - 9937 - 7*m - 368*m**3 to the form w + b*m + q*m**3 + t*m**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:38 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21124 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(500) + -1 - (sqrt(500) - (1 + sqrt(500)))*-3))**2.\nAnswer: -4000*sqrt(5) + 50400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 98d?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7415526 * -0.4.\nAnswer: -2966210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 439*b - 11. What is z(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d**2 - d - 1. Suppose -3*m = 2*i - 8, -4*i - 7 + 29 = 3*m. Let x be g(i). Let a = x - -326. What is a rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014123111 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - l + l)*(4 - 2 - 3)*(-2 + 0 + 4)*(-7*l + 4*l + 10*l + 10*l - l - 3*l + (2 + 1 - 2)*(0 + l + 0)) as h + y*l + p*l**2 and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-32)\/(-6) + (-9)\/27 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17278455 minus 24?\nAnswer: 17278431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34044898 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: List the prime factors of 711229069.\nAnswer: 23, 30923003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/4)\/(2646\/180 + -15)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zajk when four letters picked without replacement from {z: 1, a: 1, k: 1, q: 1, j: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/(-54))\/((-555)\/(-999))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-430)\/(-90) - 4\/(-18). Let y(o) = -9*o + 12*o - j*o. Let h(g) = 46*g + 10. Let f(c) = 252*c + 54. Let k(b) = 5*f(b) - 27*h(b). Determine k(y(u)).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2345689?\nAnswer: 37, 63397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1114 - -2.8886. Let t = 1.5 - 2. Sort 2\/7, j, t.\nAnswer: t, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112 (base 5) in base 15?\nAnswer: -13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l + 4. Let y(c) = 2*c + 8. Let h be y(-5). Let b(w) be the first derivative of -w**3\/3 + 9*w**2\/2 - 9*w + 11. Give h*b(p) - 5*g(p).\nAnswer: 2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(6)\/(sqrt(2) + (sqrt(8)\/sqrt(4) + sqrt(2))*2 - sqrt(2) - sqrt(2)).\nAnswer: sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182249 + 182180.0045. Let d = i + 69. Round d to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327.14 + -327.1706225. Round o to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 21*m**3 + 7*m**2 + 4*m. Let g(k) = -11*k**3 - 4*k**2 - 2*k. Let y(x) = -7*g(x) - 4*h(x). Find the second derivative of y(j) wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 525274996 - 525274996.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 35 - 9 + 38288*v**3.\nAnswer: 38288*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4091384\nAnswer: 1\/2045692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 11, 3, -23, -73, -153?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290978 divided by 3?\nAnswer: 430326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 1143810.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 16. Let f(y) = 19*y - 18*y**2 - 21 + i*y**2 + 9*y**2. Is 4 a factor of f(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**2 + 10*g - 5. Let s = 1 - -6. Let d be s - (-6)\/(5 + -2). Let u(q) = 5*q**2 - 5*q + 2. Let r(a) = d*u(a) + 4*f(a). Give r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/(-6)*6\/(-40)*392\/(-98).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20530678871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, a: 7, k: 6}. What is prob of sequence ka?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-1)\/(-92)*-1). Let c = -183 - t. Which is bigger: c or 1\/20?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -258 - -262. Suppose 0 = -5*c - 2*y + 42, -l*c + 3*y - 5*y + 34 = 0. Let x = -54 + 110. Calculate the highest common divisor of c and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + q - 2. Let p be d(-2). Suppose p*b + 2*h + 0 = 26, 3*b - 5*h - 52 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 10 - 14. Suppose o - 3*x - 9 = -2*o, 5*x = 4*o - 12. Sort o, u, 4 in descending order.\nAnswer: 4, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16656744 divided by -1182.\nAnswer: -14092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -364?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s**(3\/5)*s)\/(s**(-4)*s**1) assuming s is positive.\nAnswer: s**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 45*o - 222. Give v(25).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-120)\/25 - -4)\/(-1))\/((-10)\/(-1100)). Calculate the highest common factor of 3564 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 9, -149, -15 in decreasing order.\nAnswer: 42, 9, -15, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 + 508 = 5*d. Suppose 4*l = 7*l - d. Calculate the remainder when l is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 - (-23 - 77 - 26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.12, -0.343 in descending order.\nAnswer: 4, -0.12, -0.343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**6*z\/z**(-4)*(z**1)**33)**(4\/11) assuming z is positive.\nAnswer: z**(184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18\/7*x**2 + 0 + 3*x - 3\/7*x**3 = 0. What is x?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4205*n**2 + 12605*n + 30.\nAnswer: -5*(n - 3)*(841*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(117) + sqrt(117) + sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117)*1)*-4) + sqrt(117))*1)\/(((sqrt(216)\/sqrt(4))\/sqrt(3))\/(-1*sqrt(242))).\nAnswer: -143*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**3\/6 + 7*c**2\/2 + c. Let p be q(10). Sort 1, p, 4, -1 in increasing order.\nAnswer: p, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 54 (b) 3 (c) -5277\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111100111110 - -111110?\nAnswer: -110111100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)\/z*z*z**3*z**0\/(z*z\/z**(-2\/9)) assuming z is positive.\nAnswer: z**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5062, -5034, -4996, -4954, -4914, -4882, -4864?\n\"Answer: -g**3 + 11*g**2 + 2*g - 5074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 689.7 - 695.7. What is the third biggest value in -0.07, 2, n, 2\/13?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(2*s - s + s)*(-2*s**2 + s**2 + 5*s**2)*(2*s + 4*s - 4*s).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1943 + 523 = 10*i. Let w be 0 + (-1 - -4) + i. Round w to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2.8, 3, -0.1.\nAnswer: -2.8, -0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6283423187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68500000 rounded to the nearest 1000000?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -40 - 23 - -41.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9. Let z(n) = -n + 46. Let v(a) = -11*b(a) - 2*z(a). Let y(m) = -2*m - 3*m + 3*m - 6. What is 6*v(u) + 7*y(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-1))\/1)\/((-6)\/(102\/(-17)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -462\/24179 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 515, 6, -23, 24 in increasing order.\nAnswer: -23, 6, 24, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**6\/27 + 2*v**5\/45 + 91. Factor k(y).\nAnswer: -2*y**4*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-28) + 1522\/7. Let k(v) = 6*v + 7. Let g = 29 + -25. Let w be k(g). Calculate the greatest common factor of w and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 185466 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2670*p**2 - 2732*p + 3. List the prime factors of w(4).\nAnswer: 5, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51052187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0423 + 0.1023. What is the second smallest value in b, -8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 13256640.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f + 6*f + 7*f + 5*f + 10*f - 41*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 19. Suppose 3*r - 4*g = 4, 0*g - t = g. Which is the closest to -0.2? (a) r (b) 4\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1224 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 greater than -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 24\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38280*w**2 - 38280*w**2 + 0*w**3 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 24. Let r(v) = -5*v**2 + 5*v. Let l(m) = 3*m**2 - 15*m. Let d(p) = p**2 - 6*p. Let g(s) = -12*d(s) + 5*l(s). Give h*g(a) + 5*r(a).\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = d + 3*w, -3*d = 4*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.9. Let f = 2.0456 - 0.0456. Let a be (-22)\/80 + (-14)\/(-35). Put y, a, f in ascending order.\nAnswer: y, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 9*r - 6. Let n be j(8). Suppose -n*p = -7*p + 20. Solve -2*i - i = -4*v - 1, v + p = 2*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112.7 and 2241.\nAnswer: -252560.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6414, -25638, -57628, -102342, -159738, -229774, -312408, -407598?\nAnswer: -515302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8*g + 10. Suppose -3*m - 27 = -4*u + 41, -5*u = 3*m - 112. Solve -g*q + 7*q = u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*g + 6*g - 23*g)*(-55 - 11*g + 55) to the form v*g**2 + z + l*g and give v.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 185*h**2 - 3*h + 4. What is the hundreds digit of d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.68605 + 3.31395. Let n = 0.3 + -0.3. Which is the nearest to 16? (a) n (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -79 + 32 + -18 + -31 + 16?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.859172 rounded to 1 decimal place?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -3 + 0*p + 5\/2*p**2 + 2*p**3. What is the second derivative of t(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {k: 11, a: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(2*r**5 + 8*r**5 + 0*r**5) + 2*r**2 + 2*r**5 + 4*r**3 - r**4 - 4*r**3.\nAnswer: -8*r**5 - r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/12 + 2*o. Suppose 9*q - 12*q = -6. Let z(i) = -1 + 4 - 3 - q*i. Determine x(z(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*r + 6*q - 2*q - 143, 0 = 5*r + 14*q - 98 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-89))\/(72\/(-48)))\/((-31)\/31).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 8349?\nAnswer: -8349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33.89 (b) -0.5 (c) 2\/13 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 13530?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1708\/340 - -1)*75\/(-5)*1\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4275 and 1800?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 0*y + y + (0 - 3 + 4)*(70 + 43 - 74)*(23*y - 19*y + 68*y))*(y - 2*y - y) in the form f*y**2 + x*y + u and give f.\nAnswer: -5614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 2*c + m, -9*m = -3*c - 10*m + 182. Calculate the smallest common multiple of c and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 92*c**2 + 962*c - 669. What is k(-101)?\nAnswer: -6022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -384625 * 43\nAnswer: -16538875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 27*z - 3*z + 9*z + 20 + 7*z. What are the prime factors of p(16)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from uuffuu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 0*v - 1\/6*v**3 + 2*v**2 - 1\/12*v**4 + 0. What is the derivative of q(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y + y - 4*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.4 - 0.2. Let o = a + -115.2. Which is smaller: o or 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 5*t - 6. Let h(j) = -j**2 - 3*j - 3. Determine 3*b(r) - 5*h(r).\nAnswer: 2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llellfresssrsl. What is prob of picking 1 l and 1 e?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b - 331*b**2 - 4*b**3 + 14*b - 12 + 314*b**2. Give l(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - i)*(-i - 3*i + 5*i) + 2*i - i**2 - 2*i)*(4*i**2 - 24*i**2 - 2*i**2 + (2*i - 15*i + 4*i)*(-4*i + 5*i + i)).\nAnswer: 80*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010100 + -1?\nAnswer: 100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-9 - (2 + (0 - 7)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 153443?\nAnswer: 153451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -34*j + 23. Let y(m) = -m + 2. Let c(t) = f(t) - 5*y(t). Calculate the remainder when c(-4) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719*r + 252 = -692*r - 720 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, 2, -18 in decreasing order.\nAnswer: 2, -2, -17, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92794 is divided by 21758.\nAnswer: 5762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1343*x**3 - 119*x. Let v(m) = 56*m**3 + 5*m. Calculate -5*h(k) - 119*v(k).\nAnswer: 51*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0260 (base 16) to base 8.\nAnswer: 2401140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:07 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29973696 divided by -20544.\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 5*g. Let r be 2 + (525\/55)\/(-5). Let h = -0.9 + 0.6. Which is the smallest value? (a) r (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*w - 252*w + 408 = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 2*h. Let a(g) = -h + 32*g - g**2 - 4 - 40*g. Calculate a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934651701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146677929.\nAnswer: 3, 19, 47, 54751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/24222461 and -49\/314891993.\nAnswer: 314891993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618396 is divided by 103065.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 9:26 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c - 0. Is (11\/c)\/(1\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*i*o**6 + 2*i*o**4 + 3*i*o + 59*o**2 + 1 wrt o?\nAnswer: -11520*i*o**3 + 48*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32639 + 11898. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -53 + (-4 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -94599.5 rounded to the nearest one thousand?\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000057 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 i when three letters picked without replacement from ninnniin.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*o + 20 = -96*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2173 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 143104003?\nAnswer: -143104032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - a + 744 = -88, 3*n = -4*a + 844. List the prime factors of n.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:08 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y - 6*y + 3*y)*(-4*y + 2*y**3 + 4*y)*(y - 3*y + y).\nAnswer: -34*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -733, -1424, -2105, -2776?\nAnswer: -3437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 42, 406513, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4928*o - 5284*o + 764 = -1728 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 - 2*y + 1. Let j be h(1). Suppose f = j - 2. Suppose -o + 5*w + 5 = 4*o, 5*o + f = -w. Let l(g) = -g**3 + g**2 - 6. Calculate l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by 187?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-12)\/(-16)*-1. Let r(z) = -2*z - 3. Let i be r(q). Which is the nearest to 2\/3? (a) i (b) -8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jdjq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - x = 2*x + 43, 0 = -4*x - 4. Let k = f + 10. Suppose 2*n = 6 + k. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(441)*-2 - sqrt(441)) + sqrt(102)\/(-6*(sqrt(18)\/sqrt(3) + sqrt(6) + sqrt(6)) - sqrt(6)).\nAnswer: -40*sqrt(17)\/399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 8) to base 10.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -6)\/(1\/2*-2). Let m(p) = 4*p**2 + p - 3. Let t(j) be the first derivative of j**3\/3 - j**2\/2 - j - 281. Give z*t(g) - m(g).\nAnswer: -g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -21. Let a be (-3 - k\/(-6))*-2. Solve -2*z = z - j + 18, -27 = a*z - 4*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 6*o - 18. Suppose 3*i + 64 = 3*z + 376, -o*i + 314 = -5*z. What are the prime factors of i?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1355, 52369.\nAnswer: -1355, -5, 52369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-4)\/d)*d*d\/d**3*(d**(1\/4))**(-30)*(((d*(d**(1\/4)*d*d)\/d)\/d)\/d)\/(d**(1\/2)\/d)*d**4*d**(2\/23) assuming d is positive.\nAnswer: d**(215\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Let u(r) be the second derivative of -r**3\/6 + 19*r**2 - 189*r. Let v be u(6). Solve 12 = y*b + v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 5 - -12)\/(1 + (-92)\/88)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -22 - 2*l - 1\/9*l**6 + 1\/3*l**4 - 2\/5*l**5 - 1\/3*l**2 + 4\/3*l**3. Find m, given that g(m) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3077 + -1517. Let r = -3 + 7. Suppose -r*g + g = -x. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 5*s**2 - 3*s + 6. Let x be m(-4). Solve -3*a + x = -5*a + 4*u, 0 = 3*a + 2*u - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Is 8*d\/(-8)*-19 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498, -1102, -1706, -2310?\nAnswer: -2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/5, -4\/7, -2\/9, -0.0291, 10?\nAnswer: -0.0291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8193?\nAnswer: 3, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most as big as 1.166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*u)*(-5 - 2*u + 5) + (6*u**2 - u**2 - 2*u**2)*(-3 - 2 + 6).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61950 and 2800.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**3\/5 - 2274*l**2\/5 + 59289*l\/5 - 57018\/5 = 0?\nAnswer: 1, 26, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 25 = 4. Suppose 0 = -m - 2*f + 5, -24 = -m + 4*f - u. Let j = m + -5. Is j <= 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.24 + 5.4. Let r = j + 43.84. Let x = -42.6 + r. Which is the closest to 1\/4? (a) x (b) -1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00138 times -261797\nAnswer: 361.27986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 116. Let v(r) = 10. What is m(n) + 7*v(n)?\nAnswer: 5*n - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q + 18*q = -20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -41. Let d be (-343)\/(-2744)*(1 - 3). What is the smallest value in 105, d, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23342 divided by 1.\nAnswer: -23342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -40842?\nAnswer: 40841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 508808811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -72. Let g = 235 + -235.1. What is the nearest to s in g, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4585 is divided by 1936?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2882*o + 28. What is h(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 + 4) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 4 = 0, 47 = 5*m - 3*a. Suppose -15*b + 10*b = -m. Solve 3*l + 4 = -2*o + 3, -3*o - 21 = -b*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1456*s**2 + 6 - 2793*s**2 - 4 - 2 - 22*s**3 + 1337*s**2.\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**6\/120 - x**5\/60 - x**4\/8 - x**3\/2 + 73*x**2\/2 - 96. Let t(d) be the second derivative of j(d). What is t(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/(((-2)\/290)\/(52\/65))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*u - 293 = 237 + 946 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268217913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 15. Let q be (-3)\/(c\/(-4)) + -6. Sort 3, -3, q in descending order.\nAnswer: 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-6 - (-9 + 4)). Suppose 2*m + 5*m - 7 = 0. Let p be ((-9)\/(-27))\/(m\/51). Which is the closest to l? (a) 2 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 136.95 and -353.97.\nAnswer: -217.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44 - 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*l - 2*s, -3*l - s + 12 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -5587254 and -5587256 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*r + g - 5*g, -4*r = -4*g + 4. Suppose -3*s - 5 = -17. Solve k + 1 - s = r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.8082 millennia in decades?\nAnswer: 3680.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - d + 18394 = 2*d, -3*h + 3*d = -13806. Let v be (-4)\/(-6) - h\/(-30). Suppose 0*a + v = 2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**3*h)**(14\/11)\/(h*h*h**(-1\/7))**24 assuming h is positive.\nAnswer: h**(-3530\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}