diff --git "a/data/dm_maths/full_data_1/1365_11255.jsonl" "b/data/dm_maths/full_data_1/1365_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1365_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 24048014533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a factor of 24003481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 369566 + -357.2425?\nAnswer: 369208.7575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r**2 - 12*r - 3. Let x be c(-2). Sort x, -2, -1 in ascending order.\nAnswer: x, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c**2 - 4*c. Let i(g) = 84*g**2 + 49*g. Determine 4*i(r) + 49*v(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*v - 5079 = -575*v + 1053 + 2643 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00175285 to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/(-1848)*(-3)\/135*2. Let n(q) be the third derivative of 0 + 1\/27*q**3 + h*q**7 + 3*q**2 + 0*q + 0*q**4 + 0*q**6 - 1\/135*q**5. Factor n(c).\nAnswer: 2*(c - 1)**2*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vua when three letters picked without replacement from ulauaaalaallaacav?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24240.14*1.1.\nAnswer: -26664.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25490.\nAnswer: 2, 5, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 6. Let s(a) = a**2 + 5*a + 5. Let t be s(-5). Suppose -70 = f - 6*f + t*r, -2*f = 4*r - 10. Does 27 divide i(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1650 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilirfitil. What is prob of sequence rl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 112*i**2 + 5*i + 19. Let d be (-2)\/(-9) + (-435)\/135. Let g be p(d). Let l(v) = 5*v - 2*v - 1014*v**2 + g*v**2 + 3. Calculate l(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**4\/5 - 51*y**3\/5 - 9*y**2 + 51*y\/5 + 48\/5 = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -343, -488, -607, -694?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3981 + 7*d**3 + 3981 + 0*d**3 - d**3 - 2*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -408, -362, -278, -144, 52, 322?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.24 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 5*z**2 - 3. Let o be d(-5). Calculate the least common multiple of 10 and o\/(-2)*(-4)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28598 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(72)*4)**2 + 4*(4 + (sqrt(2) + sqrt(2) + 4*sqrt(2))**2).\nAnswer: 96*sqrt(2) + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*c + 165*c + 1500 + 4949 + 1543 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Suppose z*p = 5*v - 0*p + 9, 4*p = -4*v + 4. Let u(d) = -10*d**3 + 2*d**2 + d. What are the prime factors of u(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845250059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**3 + 4*s**3 - 12*s**3 + 8*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1255550 (base 6) in base 2?\nAnswer: -10001000101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -13. Which is the nearest to 1? (a) 0.1 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 11:55 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2590 + 5177. Does 78 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhssshhshsss. What is prob of picking 2 h and 2 s?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-5)*(-14)\/(-49)*441\/(-28).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -6)\/(2\/(-9)). Let m = 11 + t. Solve 2 - 8 = -m*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5471 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -110010000110011010 (base 2) to base 9\nAnswer: -342441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1146 + 3*m - 1155 + 10*m)*(4*m**3 - 5*m**3 + 3*m**3) to the form l*m**3 + h*m**2 + n*m + c + w*m**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*j - 5, -i = -3*j - 5*i - 20. Let n = 12 - j. Calculate the smallest common multiple of 14 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63\/2 - -31. Suppose 42 = 9*f - 7*f - 5*k, f = 5*k + 26. Suppose -f = g - 5*g. Which is the second biggest value? (a) 5\/7 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1.6. Let j = -1.2 + o. Let u be 9\/60 - 6\/15. Put u, j, 2\/19 in decreasing order.\nAnswer: j, 2\/19, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/525*-7*-50?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*r = -312, 4*r + 93 = n + 2*r. Suppose 2*l = 5*l - n. Suppose -4*d + 27 = -l. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 21 - -19) + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2815610 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 27418572*n - 93972261314898.\nAnswer: -2*(n + 6854643)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14360*m - 7180*m - 7180*m - 3*m**3 - 23*m**2.\nAnswer: -3*m**3 - 23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 11030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**8\/672 - t**7\/210 + t**6\/240 + t**5\/60 - 5*t**2. What is d in s(d) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1812 or -5490?\nAnswer: -1812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(17)*-4 + 3 - ((sqrt(85) - ((sqrt(85) - (sqrt(85) + sqrt(85)*-2)) + sqrt(85)) - sqrt(85) - sqrt(85)) + sqrt(85))\/sqrt(5)).\nAnswer: -18 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/18*(-228)\/(-1995).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -170*s**3 - 121064*s + 1159252439 wrt s.\nAnswer: -510*s**2 - 121064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*r - 10, -2*r + b + 3 + 4 = 0. Suppose 4*h - 4*w = 236, 2*h - r*w = 3*h - 43. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 2:28 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8670 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oot when three letters picked without replacement from tovooooovvvoovv.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - -5 - (-4 + -1). Suppose 4*u - 7 = h, -3*h - 3 = -6. Let c be 0 + u*2\/4. What is the highest common divisor of f and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611*c - 44*c + 4919 = 13047 + 20037 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7 - 7*b + 2 - 1 + 3. Let j = 7 + -3. What is the remainder when m(-2) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*7\/(70\/12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6383, -12741, -19099, -25457, -31815?\nAnswer: -38173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 7*n**2 + 9*n - 2. Let u be g(8). Let i = u + 1. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 259932 + -259931.804151. Let u = 0.196 - i. Round u to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22.24424 microseconds?\nAnswer: 0.00002224424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -10 (b) -94 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1434642132*b - 1434642132*b - 199*b**3.\nAnswer: -199*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - y + 48777 = 0, -5*c - 8*y = -7*y - 121950. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(792) - (sqrt(792) + (sqrt(792) - 2*sqrt(792))))*6)\/((sqrt(140)\/sqrt(7))\/sqrt(10) + (sqrt(2) + sqrt(2)*-3 - sqrt(2))*-4).\nAnswer: 216*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 982, 9287 in increasing order.\nAnswer: -2, 3, 982, 9287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (1 + 0 + -3). Calculate the smallest common multiple of (-1)\/h*(-1 + -17) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 1\/3, -6, -20, -4\/3, 0.06?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 16 + h - 26 + 10. Let v(n) = 4*n + 16. What is v(y(m))?\nAnswer: 4*m + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/8895 and -17\/7239.\nAnswer: 21463635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -42078?\nAnswer: -504936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w + 56. Let j be l(2). Find the third derivative of -122 - 118 + j*y**2 + 240 - 3*y**5 wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10*w + 12 = 4*p, -5*w = -20. Sort p, 5, 3 in increasing order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {w: 4, b: 1, x: 8, n: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.09 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151500 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.101495938 to 4 dps.\nAnswer: 0.1015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1638 is divided by 805?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54 + 41 + 46)*(2*m**2 + 2*m**2 + 10*m**2) in the form x*m + i + h*m**2 and give h.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2 + 3*o**2 - 4*o**2 + 2*o - 3. Let f = -10 + 11. Let q = -1 - f. Calculate t(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 22162 = -16298. Let o be ((-1)\/(-198))\/((-4)\/y). Let c = -248\/33 - o. Find the common denominator of -101\/10 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.75, 21, 4\/9, 5\/4, 1\/2 in descending order.\nAnswer: 21, 2, 5\/4, 1\/2, 4\/9, -1.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 6*a - 5. Let x be h(4). Suppose -37 + 129 = 4*f - 4*i, -x*i = 6. What is the remainder when f is divided by (22\/(-6))\/((-1)\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.09 + 32.9. Let n = y - -0.19. Which is the nearest to n? (a) 0 (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14 = 3*b - 11, 5*b = 5*l - 25. Solve 2*w - k = -7, l*k = 3*w + 2*w + 25 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 - 19011358*g**3 + 19011354*g**2 + 19011358*g - 19011356 = 0 for g.\nAnswer: -1, 1, 9505678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - x - 2. Let z(a) = -a**2 - 6*a + 9. Let n be z(-7). Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1599654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 25*j**2 + 67*j - 135. What is w(2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 332*s + 560. What is the hundreds digit of u(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/5601900 and -37\/300?\nAnswer: 5601900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**4\/4 + 5*t**3\/3 - 5*t - 2. Let c be j(-4). Solve -2*m + c = 3*w - 9, -4*m = w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 1. Let q(z) = -32*z + 10. Determine -10*n(p) + q(p).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -73*z**7\/210 - 3*z**6\/40 + 59*z**4\/24 + z**3 - 1236*z**2. What is the second derivative of i(y) wrt y?\nAnswer: -876*y**2 - 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from tottootttotott.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 3*r + 5. Let k be f(1). Let p(a) = -5 + 6 + a**2 + a**k - 3 + 4*a. Let w(g) = g - 1. Calculate p(u) - 4*w(u).\nAnswer: u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17582163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1216900 to the nearest 10000.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -8579 in decreasing order.\nAnswer: 4, -0.2, -8579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 3, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145570, -145590, -145610, -145630, -145650?\nAnswer: -145670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyqbymbq. What is prob of picking 2 b and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 divided by -2?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 11997 + 35939 = 0. List the prime factors of b.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*i - 24, -291*k + 296*k = i + 72. What is the remainder when 1047 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (184\/(-30) - 2\/(-15))\/(-2). Let w(v) = v + 5. Let u be w(-5). Sort u, -1, g in decreasing order.\nAnswer: g, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyqa when four letters picked without replacement from wyayiqgq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535*q - 801 = -536*q - 5*k, 0 = q + 3*k - 807. Calculate the highest common divisor of 336 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 5. Let z = f - 4. Suppose 5*m - 4*u - 30 = 0, -5*u + 60 = z*m - u. Solve 4*h = h, 5*y = -4*h + m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, 0.4, -89, -1.6?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.8 + 19. Let w = 0.2 - 0.2. What is the second biggest value in w, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67527245?\nAnswer: 5, 13505449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -2. Suppose -5*b + c = -3. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 0.72375. Let b = -102.90375 + q. Let w = b + 104. What is w rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**3 - 6*i**2 + 167*i - 42. Give h(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2) - 1\/(-2). Suppose -y*g = -s + 19 - 60, 0 = -3*g + 5*s + 72. Calculate the remainder when g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + 5*l**2 - 3*l - 3. Let k(j) = -3*j**3 - 3*j**2 + 2*j + 4. Determine 3*k(t) + 2*w(t).\nAnswer: -5*t**3 + t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 + 27*z - 4. Let y be x(9). Suppose -5*f + y + 57 = 0. Is f a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3457.8234 microseconds?\nAnswer: 0.0000009605065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/4, 40824?\nAnswer: 40824","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v - 2. Let l be w(-1). Suppose 0 = -5*j + l*y - 12, -2*j + 7*y - 3*y = 2. Let p(a) = -a**3 - a**2 + 2*a + 2. Is p(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s - 430 = -4*l, -3*l + 335 = 4*s. List the prime factors of l.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59453030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = -4*u - 114*b, 4*u - 126 = -3*b - 139 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o + 1 = 0. Let k be 0\/(1\/(-1)*o). Suppose k = -2*m + 5*m - 24. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*b + 491*b - 264*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1634.61?\nAnswer: -163.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8464*t - 17218*t + 15*t**2 + 8488*t to the form r + g*t + w*t**2 and give g.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 790310 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75602, -0.1, -5.\nAnswer: -5, -0.1, 75602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 405*h**5 + 4*h**3 + 122348*h**2 wrt h?\nAnswer: 24300*h**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97643 rounded to two dps?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**8\/5880 - l**6\/1260 - 2*l**3\/3 + 3*l**2. Let h(m) be the first derivative of o(m). Factor h(i).\nAnswer: 2*i**2*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -11 (b) -6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29233766.\nAnswer: 2, 683, 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 35) + (-1 - (26 + -11)) + 18\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w = 50 - 182. Calculate the smallest common multiple of w and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, w: 8, z: 3, k: 2, y: 2}. Give prob of picking 1 z and 1 g.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-5))\/3)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-9))\/(2*1\/(-30)). Put 1, f, 4, 0 in decreasing order.\nAnswer: f, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-32))\/(54\/(-72))*6\/(-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32\/3795 - -1\/69. Let r(j) be the third derivative of 9*j**2 - 1\/660*j**6 + 0 + 1\/132*j**4 + 2\/33*j**3 + 0*j - l*j**5. Find i such that r(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5 + (1 - 1 + 1)*(-4 + 0 + 3) + (-4 + 3 + 0)*(-2 + 0 + 3) - 21 - 1 + 1)*(3*c**3 + 4*c**3 - 4*c**3)*(0*c - 3*c + 2*c).\nAnswer: 63*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4799 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 837786 by -59.\nAnswer: -837786\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23543 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 11:45 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by 66\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982444.\nAnswer: 2, 79, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 716*m - 724*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139184414 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2744 is divided by 1359?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4099?\nAnswer: 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60.22*62.\nAnswer: 3733.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/35? (a) 0.5 (b) -1\/1466 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*t + 8*t. Suppose 3*w + 4 = 2*w. Put t, w, 4 in ascending order.\nAnswer: w, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(50) + -1*sqrt(8)\/sqrt(4).\nAnswer: 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272835 by 18189.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(1540\/42) - (-50)\/(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18245 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 14, z: 5}. What is prob of sequence aa?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**4\/24 - 7*v**2. Let s(r) = -r + r**2 + 5*r - 4*r + 3*r + 3*r**2. Give s(h(b)).\nAnswer: 4*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 89, 0.1, 0.176, 1\/7 in decreasing order.\nAnswer: 89, 0.4, 0.176, 1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-5)*95\/38. Let j be -4 - (-2*m - -2). Let x be (-138)\/(-7) + (-4)\/(-14). Solve 5*z = -j*z - x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12*i**2 + 1 + 0.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 550 + -10846?\nAnswer: -10286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 + 1494*m**4 - 6012*m**3 + 6024*m**2.\nAnswer: 3*m**2*(m - 2)**2*(m + 502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1122*y**2 - 1126*y**2 - 1116*y**2 + 3325*y**2.\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2395*l**3*z**6 - 2*l**3*z**2 + 257*z**2 wrt z?\nAnswer: 287400*l**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 5*a**2 - 5790*a**3 + 10*a**2 - 6924*a**3.\nAnswer: -12714*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41187354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 66 = -3*c, 5*q + 4*c = 92 + 17. Let z = 5 - 8. Let p = 5 - z. What is the remainder when q is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -13*p**7\/2520 - 17*p**4\/12 - 4*p. Let k(w) be the third derivative of m(w). Let s(i) = -2*i. Give s(k(c)).\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -5, -2\/3, 0.07077, -8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 4*i**2 - 9*i - 16. Let o be x(-7). Let f = 207\/2 + o. Which is the third biggest value? (a) 1 (b) 3 (c) 3\/2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2805021 times 3?\nAnswer: -3.8415063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) - (-190)\/(-308). Let h = -3\/83 - 17\/1826. Let g = v - h. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*6\/90*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14795*k**2 + 10*k.\nAnswer: 5*k*(2959*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 419 - 251. Calculate the highest common factor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10249 times -686\nAnswer: -7030814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**27*z*z**14)\/((z\/(z\/z**(-25))*z)\/(z**31\/z*z)) assuming z is positive.\nAnswer: z**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-19 + -7 - (5 + -10))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 17*q. Let c be x(-5). Let h be (2*-5 + -2)*-1. Calculate the highest common divisor of c and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41477 + -25122. Calculate the remainder when b is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 r when four letters picked without replacement from rrrrfrrrrrrrrrrrrrr?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*b - 1)*(-2 + 4*b + 2) - b**2 + 0*b**2 - b**2 + (-2*b + 0*b + b)*(2*b + 3*b - 3*b) as g*b**2 + q*b + s and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (63\/(-210)*-25)\/((-26)\/46). Which is bigger: -14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1457297837512 - -7.\nAnswer: -1457297837505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 964*w**2\/3 + 1042184*w\/3 + 172425968\/3.\nAnswer: -2*(w - 1054)*(w + 286)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f*f**(-4\/9))\/f*f)*f)\/(f**(1\/15)*f*f) assuming f is positive.\nAnswer: f**(17\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 788829989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3541179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89850 and 44299644.\nAnswer: 3594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 36 = 5*p, -81 + 468 = -17*l + p + p for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21449639?\nAnswer: 23, 932593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 34 + -15 - -23.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3512450 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 3*d + 5. Let u(g) = -2*g**2 + 4*g - 6. Let y(q) = 4*o(q) + 3*u(q). Let y(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(270) - (4*-2*sqrt(270) + sqrt(270))))\/((-6*(sqrt(36) - (sqrt(36) + sqrt(324))) + sqrt(36))\/(-4*(sqrt(6) + sqrt(6) + sqrt(18)\/sqrt(3)))).\nAnswer: 576*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 46 = -6*v - 166 + 56 - 5, -t - 7*v - 76 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:02 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-21) + (-28)\/(-6). Suppose -2*c - 11 + 57 = 4*x, -5 = x - u*c. Calculate the highest common factor of 80 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7880198317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 105 times -218\nAnswer: -22890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 19*d**3 - 3*d**2 + 2*d. Let k be x(1). Let y(h) = h**2 - 8*h - 45. What is the tens digit of y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1228?\nAnswer: -5\/1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5 and -27\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56\/(-6)*(-35)\/((-420)\/(-297)) is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -913\/20 - -207\/5. Let w = 4 + n. Suppose 12 = 3*k - 0. Which is the third biggest value? (a) k (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5800676.59 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 4*b + 2. Let y(q) = -q. What is k(t) + 3*y(t)?\nAnswer: -3*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h**4 + h**3 + 31*h**2 + 1. Let d(y) = -y**4 + y**2 - 1. Let x(z) = d(z) + s(z). Find the third derivative of x(k) wrt k.\nAnswer: 168*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -68. Suppose 0 = 3*c - j + 560, -4*c + k = -2*j + 769. Let l = c - -409. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(63))**2 - sqrt(7))*-3.\nAnswer: -186 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3010 + -36029\/12. Let v = 277\/414 + -9\/23. What is the common denominator of v and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*l + 143*l = j + 18, 0 = 4*l + 2*j + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30371 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6*244\/(-1). Let q = 121 - l. Let g be 2\/4*(q\/4 + 0). Sort g, -3, -2\/5 in decreasing order.\nAnswer: g, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72828978.\nAnswer: 2, 3, 12138163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1400) - (sqrt(1400) + sqrt(1400)*-4 - sqrt(1400)))\/(sqrt(32)\/sqrt(36)) + 1 + 1))**2*-3.\nAnswer: -118137 - 900*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -73 and 32.82.\nAnswer: -40.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 4. Let g(p) = 87*p - 8. Let b(c) = -g(c) - 2*y(c). Let x(z) = 9*z. Calculate b(x(r)).\nAnswer: -747*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-6)*1155\/(-840) - 20?\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 577 times -2433\nAnswer: -1403841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1412 and 74483.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28564923477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 162531 times -16?\nAnswer: -2600496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 661.8180332165?\nAnswer: -659.8180332165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 554\/2 + -6 + 8\/8. Calculate the highest common factor of 476 and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.29075219, 2\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -37. Let l(c) be the second derivative of 0*c**5 + 1\/63*c**7 - 1\/45*c**6 + f*c**4 + 0*c**3 + 3*c + 0*c**2 + 0. Factor l(t).\nAnswer: 2*t**4*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 + 29790*p**2 - 59162940*p + 39165866280 = 0.\nAnswer: 1986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 304988*z - 304985*z - 3*r - 96, -2*r - 2 = 0 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**2 - 28*n**2 - 7*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c**2 - 5*c)*(43 + 34 - 21).\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(1089)*-1 + sqrt(9)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/1)\/(-12)*2. Let z = 0.1 - 1.1. Let c = z + 0. Put c, h, -3 in ascending order.\nAnswer: -3, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (0 + (17 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*k = -14551 + 14592, -7*k + 36 = -4*q - 2*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouvvovovvvvvvvoov. Give prob of picking 1 u and 2 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521.31094 rounded to 1 dp?\nAnswer: 1521.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-5 - -5 - 3) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1253, 1256, 1259, 1262, 1265, 1268?\n\"Answer: 3*g + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*d - 5*i, -5*d + 2*i = -0*d + 21. Which is the second smallest value? (a) -1\/22 (b) -2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = 10*p - 12*p. Suppose 3*i - 3*l = 2*l - 58, 2*i = -3*l - 45. Let z = i + 36. What is the highest common divisor of z and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) -1 (c) 56\/11 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -12, -4 in increasing order.\nAnswer: -12, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/6 + 179*b**3\/3 + b + 1374. Find t, given that y(t) = 0.\nAnswer: 0, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 0. Let r = -8.6 - g. Sort r, -2, 0.2.\nAnswer: -2, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 771133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (12 + -61 + 25)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 217996992 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(4\/3)\/(h\/h**(5\/2)))\/(h\/h**(-1)*h*h\/h**3))**(-7\/3))**(-6) assuming h is positive.\nAnswer: h**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.1, 7\/3, 0.2 in ascending order.\nAnswer: -0.1, 0.2, 2\/7, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2937, 21482, 70253, 163866, 316937?\nAnswer: 544082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -788*x + 397*x - 77 + 390*x + 78. Let j(y) = 7*y + 6. Determine -j(i) - 4*u(i).\nAnswer: -3*i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**3 - 24*k**2 + 871*k - 1630. Calculate t(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 50519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4 = 2*t + 5, -4*h + 21 = -5*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360994863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 10*x**2 + 20*x. Determine t(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 10. Suppose 4*u + 0*u - 55 = -5*z, -5*z + 25 = -2*u. Calculate the smallest common multiple of s(z) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37427785 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 20*v**2 + 587*v + 181. Determine a(-29).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a**3 + 20. Suppose -5*u - 65 = 4*t, 3*t = 2*u - 26 + 75. Let q(i) = -4*i**3 - 7. Determine u*q(x) - 6*c(x).\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130.5 - 131. Let x = 8 - 5. Let o = 21.4 - 21. Which is the second biggest value? (a) x (b) y (c) o (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7920)\/3696*(-70)\/120*-3?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + l + 2*l = 9, -5*f = 2*l + 13. Let z(w) = -w - 1. Let u(p) = 3*p**2 + 3*p + 3. Calculate f*z(n) - u(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2952.62 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 136*j + 33. Let k(m) = 74*m + 18. Let d(c) = -11*k(c) + 6*v(c). Let b(a) = 1106*a**2. What is d(b(n))?\nAnswer: 2212*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1617, 0, 2, 3 in decreasing order.\nAnswer: 3, 2, 0, -7, -1617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + 308. What is the greatest common divisor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-3)*(c**(-2\/3))**(-4\/29)*((((c\/(c\/(c*c*c**(1\/16))))\/c)\/c)\/c**7)**(-3\/25) assuming c is positive.\nAnswer: c**(-72229\/34800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 47, 63, 57, 17, -69?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/9 + 124*d**2 + 9056*d\/9 = 0. Calculate d.\nAnswer: -8, 0, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*k = -41*k + 819 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2269*y - 2186*y - 192 + 1227 + 3281 = 0 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:26 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -3 + 22\/6. What is the closest to x in -1, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 176 - 54. Let y = -93 - d. Find the second derivative of 31*j - 22 + 22 + y*j**5 wrt j.\nAnswer: 580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 635 and 381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58, -210, -464, -820, -1278, -1838, -2500?\n\"Answer: -51*z**2 + z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 + 346. Is p greater than 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 - -109. Let u(t) be the first derivative of t**3\/3 - 2*t**2 - 2*t + 1. Let i be u(o). Let r(n) = n**3 - 2*n - 3. Give r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/10*448\/(-63) - 101\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 bigger than 1182\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = -932 - 4360. Let s = 58 + -30. What is the highest common factor of s and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2733*y**2 - 7*y + 5. What are the prime factors of p(1)?\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 66375549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*r + 7 = -1, -j - r = -5. Let y be (12\/(-5))\/(j\/(-80)). Suppose 3*z + k = 11 + 19, -4*z + y = 4*k. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 2*r**2 - 2*r - 27 - 19)*(-198 + 71 + 55) to the form j*r**2 + m + n*r and give j.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 66 + 2. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3404328?\nAnswer: 2, 3, 83, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1440424?\nAnswer: -1440422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37989576*g**4 + 284*g**2 + 2*g - 13924 wrt g.\nAnswer: -911749824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3978008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vztv when four letters picked without replacement from {t: 5, z: 3, v: 3}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 15 = -3*u, -4*d + 0 = 2*u - 40. Suppose -12*k + d = -9*k - 3*g, -4*g = -3*k + 9. Solve 0 = n - 3*q - 18, -4 = -0*n - k*n - q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22258042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**3\/5 + 34*t**2\/5 - 156*t\/5 + 144\/5 = 0.\nAnswer: -12, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -35*v**2 + 561*v + 35825. What is g(41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-972805)\/(-261) - (-1 + (-22)\/(-18)). Let q = -2660 + w. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-14)\/6)\/(8\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2113655 (base 8) to base 13.\nAnswer: 169409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2321 + -30311013?\nAnswer: -30302032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - 4.2. Let d = -9694 - -9699.031. Let q = c + d. What is q rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from pccga?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + 8*q + 10. Let j(o) = 4*o**2 + 8*o + 11. Let m(v) = 3*f(v) - 2*j(v). Let r be m(-6). Which is the third biggest value? (a) r (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*z = -25, -6 = 3*h - 3*z + 9. Let v = h + 2. Suppose -5*f + v = -3*f. What is the highest common factor of f and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.7 - 11.51. Let s = -0.69 + k. Which is the nearest to -3? (a) -2\/9 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 444782092*s**6 - 115*s**2 + 3183529*s?\nAnswer: 53373851040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 111294 + 42?\nAnswer: 111326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 500, 497, 492, 485, 476?\n\"Answer: -v**2 + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.0902474\nAnswer: 0.02707422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, c: 8, a: 1, h: 1, b: 1, n: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 5*o + 4. Suppose s - 4*r = 4, 4*s + 2*r - 2 = 14. Suppose -n + l - 6 = -2, 5*l = -n - s. Calculate b(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87690 to the nearest 1000.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - 100?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(0 - 2 + 1) - 1 + 0 + 0 + 769 - 1771 - 974)*(3*g**3 - 3*g**3 + g**4).\nAnswer: -1979*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109417547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -22. Solve a*n + 2*n = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47830842 to the power of 1\/2, to the nearest integer?\nAnswer: 6916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.09 (c) -89\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 705714799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g + 8*g - 8*g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6197*o + 614646 + 53971 = -56432 for o.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f**2 - 69*f - 105. Let t be s(35). Round t to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26093855 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: How many minutes are there between 6:27 PM and 1:50 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -38. Let w(o) = 9*o + 3 - 11 - s*o. What is the tens digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.2 - -35. Let o = h + -17. Let y = -7 + 4. Which is the third biggest value? (a) -1 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12ba1 (base 12) in base 8?\nAnswer: 62451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -387 divided by -43\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 56, 51, 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -54. Let u be -1 + (50\/16)\/x. Which is the biggest value? (a) 0.3 (b) u (c) -6 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -353774, -707629, -1061484, -1415339?\n\"Answer: -353855*v + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-4 - -1) + -31 + 25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-21)*42948\/1193?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41219 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7426*y**3 + 2*y**2 - 5*y - 8. Let l be i(7). Suppose l - 647173 = -5*r. Round r to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 86. Suppose -3*o - 3*h + 3 = 0, -6*h + 4*h + 7 = -3*o. Let c be 6\/3*o*(-3)\/72. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*t + 46*t - 9*t + 255 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 1 (b) 165 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + z)*(-64*z + 838 - 767 + 53*z) in the form y*z**2 + f + c*z and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - y - 2. Let m be q(-2). Let c be (0 + 0)\/(8 + -6). Solve m = -c*v - 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**4\/8 - 5*s**3\/6 + 3*s**2. What are the prime factors of w(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -133 - (-4 + (1 - 0)). Let f = -113 - s. Calculate the greatest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13*n = -430. Let i = -39 + n. Solve -5*j + j = -i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + l = 4, -6*r + 2*r + 4*l - 4 = 0. Let t be 6\/(r*(-9)\/(-6)). Suppose t + 2 = 3*x. Solve 0 = -3*h - h - x*q - 14, -4*h - 13 = 3*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(130)\/(sqrt(10) - sqrt(90)))**2 + -4.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-810 + -3)\/(3\/(-2)). Let x = 922 - j. What are the prime factors of x?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/590 and -25\/177.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -411*g + 2. Let v(i) = -7*i**2 - 23. What is k(v(c))?\nAnswer: 2877*c**2 + 9455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(171) + 3.\nAnswer: 6 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2661262438 to the nearest integer?\nAnswer: 51587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*u + 16, -8*u + 5*y + 20 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20.3. Let u(f) = -f + 1. Let d be u(1). Which is the second biggest value? (a) d (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 = -2*b - 2743. Let h be (2 + 0)*-1 - b. Suppose -3*z - h = -2*d - 5*z, -4*d + z = -2143. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 7*t + 1. Let b(u) = 140*u**3 + 6*u**2 - 28*u + 45. Determine -b(i) - 4*v(i).\nAnswer: -140*i**3 - 2*i**2 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381, -1304, -2227, -3150, -4073?\nAnswer: -4996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*d = 32. Suppose 3*c - 3*b - 6 = 0, 0*c = c + 2*b - d. Suppose -c*t = -2*t. What is the nearest to -0.1 in 2\/5, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:34 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - l**2 - 3*l + 2. Let y be q(2). Suppose 2*j - j + 7 = y. Let f(c) = -c**2 - 8*c - 7. Determine f(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3567*c - 6 + 3363*c - 6754*c in the form r*c + w and give r.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(210) - (2*sqrt(210) - sqrt(210)))\/sqrt(10))\/((2*sqrt(84))\/sqrt(12)) + -5 + (sqrt(3) - (sqrt(3)*-1)**2) + sqrt(3) + (-2*sqrt(243) - sqrt(3))).\nAnswer: -51*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 + -5 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 3 - 4 - 5. What is the third smallest value in 2\/3, -0.2, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1540\/(-2310))\/((-22)\/(-3) - 1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 13. Let l(r) = -r + 2. Let z be l(11). Let h be w(z). Let n be (-144)\/120*(-5)\/3. Solve -v - n*g + 20 = 3*g, 0 = 3*v - g + h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85)*-2 + sqrt(85))\/sqrt(5))**2 - (sqrt(17) - (sqrt(17) + -2)**2*6)) + -4 + (sqrt(17) + (sqrt(68)\/(1*sqrt(4)))**2 - (2 + -2*sqrt(17))**2).\nAnswer: -16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20460898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 812121899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*i - 10, -i + 2801 + 2815 = q + 5624 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - 309?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**5 - 1849*b**4 - 70788*b.\nAnswer: -60*b**3 - 22188*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 + 11.4. Let b = 18 - k. Let o = -3 + b. Put 1, 5, o in increasing order.\nAnswer: 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-4)*k*k**3)\/(((k\/(k\/(k\/k**(-4))))\/k)\/((k\/k**(-3))\/k)) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 938 = 114. Let o = -206 - h. Solve 24*z - 26*z - 6 = o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7844, 7842, 7840, 7838?\nAnswer: 7836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 36\/45*(2 - (-153)\/6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fekuffkeskfek. What is prob of sequence se?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 2*p - 0*p, 5*x + 19 = 2*p. Let f = -6 + x. Round f to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*v - 43*d, 3*v + 3*d - 2*d = -14 - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115767 is divided by 557869.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75362 is divided by 638?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 385287 bigger than 385286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-91)\/(-39)*9\/42. Let 1\/2*b**2 + b + k = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 18*x + 16. Let g be l(-7). Let v = 389 + g. Calculate the highest common divisor of 220 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -587\/10 + 293\/5. What is the third biggest value in 0.5, -1, u, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3444, 3449, 3454, 3459, 3464, 3469?\n\"Answer: 5*a + 3439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8957 = -3478110*o + 3478799*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + m - 39 + 36 = 0, 5*m = 4*s - 48. Solve 0 = -16*n + 39 - s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**6\/12 + m**5\/30 + m**4\/24 - 3*m**2. Let v = -2 - -1. Is f(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b**4 - 5310*b - 5313*b - 2*b**3 + 10617*b - 214*b**2 + 8*b**4 + 1 to o*b**3 + f*b**4 + g*b + j + l*b**2 and give l.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 10, i: 3, s: 4}. Give prob of sequence ssm.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 7 - -41) + -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/9112 + 186785\/100232. Calculate the common denominator of n and -31\/7.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -2\/9, -2\/7, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -2 - 5) + (2 - (-40 - -18) - 29).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 3222231301?\nAnswer: 3222231301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60193041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 at least -841568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213324 + 1344?\nAnswer: -211430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122233143 (base 5) in base 11?\nAnswer: 1485208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 5, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*c - 29*c - 34*c.\nAnswer: -239*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dsdrdrddrsrs?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633493 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:22 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, b: 8, y: 7}. What is prob of sequence bb?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 89?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16*x - 1. Suppose 4*y + 5*h + 7 + 2 = 0, -y + h = 0. Calculate c(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * 136304.\nAnswer: -5452160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3247, -25935, -87505, -207403, -405075, -699967?\n\"Answer: -3241*b**3 + 5*b**2 - 16*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5418*j**2. Let w(m) = -4*m**2 - 3*m + 1. Let o(s) = -2*s**2 - 3*s + 1. Let x(v) = -o(v) + w(v). Calculate x(l(a)).\nAnswer: -58709448*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1528 divide 3254421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 6*n**2 + 4. Calculate p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17230311 and 11486874.\nAnswer: 34460622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -433, -5, -1.\nAnswer: -433, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-8))\/h)\/h)\/(h\/(h\/h**(-3\/8)))*((h*h**13\/h)\/h)**19 assuming h is positive.\nAnswer: h**(1883\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6413137 + 332?\nAnswer: 6413471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/12 + 99900\/16. Let a = -4974997 - -79500119\/16. Let f = i + a. Calculate the common denominator of f and 37\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 279.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 9 + 26 = 0. Let l be 10*((-18)\/(-6) - c). What is the highest common divisor of 180 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 28. Let z(c) = -3*c - 35. Let i be z(-7). Let t be f(i). Solve 3*l + 3*h = 5*l + t, 0 = -5*l + 2*h - 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11079 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d + 190. Give j(-36).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 36558*u**3 + 35*u**2 - 2*u - 36551*u**3 + 73110*u**3 in the form f*u**2 + z*u + l + j*u**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence niin when four letters picked without replacement from nnaainnaanaaaaananai?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 120800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/2*(-9860)\/7888.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45610 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: Let w(d) = 2318*d + 808977. Determine w(-349).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/34)\/((-1)\/914) - 56\/476\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-3 - -4) + -3. Suppose -z*b - b = 0. Solve b = p + p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262037 is divided by 753697.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578549 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 5. Let p(s) = s - 1. Let v = -23610 - -23608. Let k = -1 - 0. Determine k*m(q) + v*p(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -175?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 182 = -20*j. Let m be 24\/(-12) - (-31)\/j. Let l = -9\/2 - m. What is the nearest to -1\/4 in l, -1\/4, 4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -57. Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -835786.\nAnswer: 18\/417893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 373664169 - -0.7012\nAnswer: 373664169.7012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 18*y - 11. Let r be o(-4). Let f(z) = 3*z**3 + 4*z**2 - 2*z - 2. Calculate f(r).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70a08b (base 13) in base 8?\nAnswer: 11777320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**6)**14*(q**3)**2)**(-3\/8) assuming q is positive.\nAnswer: q**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257\/4 - -64. Let i(v) = v**3 + 8*v**2 - 11*v + 2. Let m be i(-9). Suppose 3 + 2 = -2*g + n, -2*g - m = 2*n. Put s, g, 1\/3 in decreasing order.\nAnswer: 1\/3, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209.748 - -210. Which is the second smallest value? (a) z (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 9. Let h(x) = x**3 - x**2 - x + 6. Let d be h(0). Suppose 0*p - d = -3*p. Solve 16 = -s*k - p*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485435 - 224598*r**2 - 485435.\nAnswer: -224598*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02539986005 - 0.0254. Round z to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 + 1342?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.95802 + 0.04198. Which is the second smallest value? (a) k (b) -1\/3 (c) 29\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14395\/4 in 1\/4, -5, -11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*h**4 + 12*a**2*h - 270*a**2 - 6*a*h with respect to h.\nAnswer: -8*a**2*h**3 + 12*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + -6*((sqrt(228) + sqrt(228)*-2)*-4 + sqrt(228))\/((sqrt(240)\/sqrt(5))\/sqrt(4)).\nAnswer: -30*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/4 - 4*j + 16 = 0. What is j?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)*w**(-1\/5)*(w\/w**(-3\/4))\/w*w**(-3))\/((w\/(w\/w**2))\/(w\/w**(-6)*w))**(2\/155) assuming w is positive.\nAnswer: w**(-5191\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0061238172 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (20 - 30)) + -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(4) - sqrt(11)) + sqrt(11) + -5)**2 - (sqrt(539)*-1)**2.\nAnswer: -503 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21838363 divided by 1189.\nAnswer: -18367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4 - 37. Let s(p) = -19*p + 233. What is the hundreds digit of s(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 + 159. Let h(m) = p*m**2 - 36*m**2 + 19*m**2. Let r(w) = -45*w**2 - w. What is r(h(x))?\nAnswer: -180*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -58*m**2. Let l(i) = 17801*i. Determine h(l(s)).\nAnswer: -18378784858*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77144055?\nAnswer: 3, 5, 5142937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - h + 4*h + 4*h - 4*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39385317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -7. Let v be (-5)\/(-3) + x\/(-3). Solve v*p = 7*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(1\/58). Suppose -a + 4 = -5*u. Suppose 0 = -u*d + 2*d + 6. Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let g = 3.1 + -3. Let t = -19 + 19.2. What is the nearest to g in -5, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 592 by 4.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9009*k**3 - 4*k**2*m**2 + k*m**2 - 38586935*m**2 wrt k?\nAnswer: 27027*k**2 - 8*k*m**2 + m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 4*h + 2*h in the form n + a*h and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 3, f: 4}. Give prob of sequence fa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 363080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 241609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*f + 33 + 36 - 136 + 39.\nAnswer: 257*f - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 1 + 1 + 2*i - 2*i - 2*i + (-4 - 1 + 3)*(1 - 2*i - 1) - 45317 - 320*i + 45317.\nAnswer: -316*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 258101899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 5. Suppose 4*n + 130 = -2*j, -3*j = -2*j + t*n + 68. Let w = 89 + j. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000140173 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 - a - 6. Let m be (39 - 29)*15\/(-6)*5\/25. Suppose -2*h - 4 = 2*q, 0*q = -4*q + 8. Let j(y) = -3*y**2 + 2*y + 5. What is h*w(c) + m*j(c)?\nAnswer: -c**2 - 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - (2 + (6 - 4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4244766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -18 + 32 + (3 - 19) + 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 3)*(4 - 2*h - 4) + 5 + 2*h - 5 - 6*h - 7*h + 4*h)*(-h**3 + 0*h**2 + 0*h**2).\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 2\/219, -3\/5 in descending order.\nAnswer: 2\/219, -3\/5, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -4\/1641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (29\/261)\/((-4)\/18)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -43 + (-5 + 18 - -17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/6 + (-6)\/9. Suppose w = -5*k - 22, 5*w - k + h*k = 0. Suppose 6*y = -4*d + 3*y + 98, -3*d + 75 = w*y. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214906 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5695087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 46756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - 423. Let r(y) = -3*y**2. Determine r(m(d)).\nAnswer: -75*d**4 + 12690*d**2 - 536787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n + 4*f + 12 = 0, 2 = -3*n + 2*f. Let w = -2935 - -1141. Let l = w - -1790. What is the third biggest value in 3\/2, 0, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6635896 = -10*x. Let q = 1528457 - x. Suppose -5*j = -f + 2231025 + q, 0 = 3*f - 2*j - 8789998. Round f to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 15*q = -15*q + 48 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 176 + 42. Let p = 215 - s. Suppose r + r = p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347016439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/315874 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (sqrt(143) - sqrt(143)*-2)*-1 + sqrt(143))\/(1*sqrt(11)*-2))**2 + -3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 + 28\/(-5). Let r = -54 + 27. Let s = k - r. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/6, -4, 4, -21?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, i: 9}. Give prob of picking 4 i.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86427, -86433, -86443, -86457, -86475, -86497, -86523?\nAnswer: -86553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6652 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 61*g - 28. What is the units digit of l(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/2489 (b) 256 (c) -2 (d) 2 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -k - 7968, 12*k - 7*k = 4*j - 39833. Which is smaller: -7963 or k?\nAnswer: -7963","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 30912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 121*r**8\/672 - 33*r**7\/70 + 37*r**6\/240 + 3*r**5\/10 + r**4\/12 + 41*r**2 - r. Factor y(a).\nAnswer: a*(a - 1)**2*(11*a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -28 in ascending order.\nAnswer: -28, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33989626?\nAnswer: 2, 11, 140453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/522 and 225\/(-8)*81\/(-729).\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -33*u - 2. Let r(f) = -3*f**2 - 2*f - 2. Let j(m) = -m - 1. Determine u*j(o) - r(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -584927302721?\nAnswer: 584927302721.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 33544602.625.\nAnswer: 33544602.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, u: 5, l: 1, h: 2, o: 1, p: 1}. Give prob of sequence opu.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 194 = -5*k, -k = m - 0*m + 44. Let w = m + 64. Suppose 4*y = -2*f + 8*y + w, -f + 5*y = -9. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62962 and 10?\nAnswer: 314810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 24. Let m be o(8). Sort -3, m, 3 in decreasing order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -438633?\nAnswer: 438635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5892333313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*w**2 - 3\/4*w.\nAnswer: w*(w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clngcnnglnnllnnnln. Give prob of sequence ngn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -168*d**3*s**3 - 3*d**3*s**2 - 318*d**3 + 8*d**2 wrt s?\nAnswer: -504*d**3*s**2 - 6*d**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 557.2 + -557.4. What is the nearest to 22\/9 in -6, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 16.5.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828345?\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -8486?\nAnswer: 8486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 16) to base 13\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -8.5. Sort -5, v, 2 in decreasing order.\nAnswer: 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138276 or -138277?\nAnswer: -138277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 23551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 260246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 - 2*p + 3. Determine j(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -6.8.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(154\/12 + 1\/2))\/(3912\/1630)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -289, -2, 3, -17, 31 in ascending order.\nAnswer: -289, -17, -2, 3, 31, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 1752, 5839, 13776, 26841, 46312, 73467, 109584?\nAnswer: 155941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30767027.\nAnswer: 103, 298709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 0. Let w be ((-10)\/4 - j)*1. Which is the third biggest value? (a) -2\/9 (b) -2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -128, -133, -138, -143, -148?\n\"Answer: -5*w - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 12 + 3\/2*z**2 + 152*z. What is the tens digit of o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330313265.\nAnswer: 3, 5, 41, 721037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18083 rounded to three dps?\nAnswer: -0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1461*n + 1363*n + 87544 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 235 and 7618606.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311 + -11311?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 502, 504, 514, 538, 582?\n\"Answer: z**3 - 2*z**2 + z + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l + 4 = 0. Let z be -2 + 9 + 1 + l. Let c be ((-1)\/(-14))\/((-1)\/z). What is the second smallest value in -2\/9, -2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n = -3*v - 1, -3*v = n + 13. Let z = -25 + 18. Let u = -6 - z. Which is the nearest to 2\/5? (a) u (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7390.499967347 + -7390.5. What is s rounded to six decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -62*h - 387. What is p(-8)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 21*b**2 + 18*b - 30. Give v(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a tonne in kilograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4 + 2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*y - 46 + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*j**4 + j - 2*j**4 + 8*j**4 - j**2 + j**2 + j**4 + (-j**2 - j**2 + j**2)*(2*j**2 + 2*j**2 - 2*j**2) + 2*j**4 - j**4 - 2*j**4.\nAnswer: -8*j**4 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -v + 7, 3*s = -4*v - s + 4. What is the tens digit of -42*1*(-1)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (140 - (-7 + (2 - (-32 + 16)) + -5)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 3126, 11053, 26502, 51981, 89998, 143061?\nAnswer: 213678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 589\/(-57) + (-1)\/4 and (-7)\/11*(-140)\/210.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 (base 6) in base 2?\nAnswer: 100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(2\/3))\/(l\/((l\/l**4)\/l))*((l*l*l*l**0*l)\/l)**(-3\/5) assuming l is positive.\nAnswer: l**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1363530 and 37971150?\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1603292, -1603296, -1603302, -1603310, -1603320, -1603332?\nAnswer: -1603346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let k = -25 + 22. Which is the nearest to d? (a) k (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 5*h - 4*h + 1 + 3*h + h**3. Let j be m(5). Let g = j + 12. Solve 2*o + 12 = 5*o - 3*d, -g = -o + 3*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -0.7. Let u be ((-411)\/(-8631))\/(1\/(-6)). What is the nearest to u in 4, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.295 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -9. Let j(k) = 0 + 1 - f + 5 + 2*k. Suppose -5*v = -a + 5*a + 4, -5*a - 42 = -3*v. Give j(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7562694*y**6 - 14021131*y**2.\nAnswer: 907523280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1220833.65 from 0.13085.\nAnswer: 1220833.78085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23930 is divided by 7964.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 7060 + 7740. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -32*f + 1. Let m be g(1). Let w(s) = 144*s + 5586. Let u be w(-39). Which is greater: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -2\/11, 25, -8, 1\/10, 1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 569541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-10))\/(1\/(-4)). Suppose 0 = -22*a + 35 + 163. Solve a*o**2 + 19*o**g - 4*o**4 + 4 + 4*o**3 + 44*o + 8*o**2 + 12 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from {a: 4, o: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**47\/((j**(-4\/7)*j*j)\/j**(-6\/7)) assuming j is positive.\nAnswer: j**(971\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1900, 3666, 5394, 7078, 8712?\nAnswer: 10290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1214 divided by -1214\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-18))\/((-1)\/(-3)). Let b(m) be the second derivative of -m + 0*m**4 - 1\/5*m**5 + 0 + 0*m**3 + a*m**2. What is b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-280)\/96)\/(-35))\/((-35)\/40)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.96 + 38.06. Let x = h - 37. Let c = 12 + -8. What is the third smallest value in c, x, 1.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/(-28))\/((-4)\/14). Let v be ((-60)\/63)\/(18\/(-21)). Let l = 19 - 22. What is the closest to -1 in l, o, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as -506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 0 - (-80 - -59)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344 - 256. Calculate the remainder when l is divided by 51.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10*(3080\/66)\/28*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 3*k**2 - 2. Let g be c(-2). Suppose -g*z - 5 = -7*z. Let v be z\/(((-8)\/(-30))\/4). Solve -3*s = 2*s + v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (8 - (-18 - (11 + 2 + -18)))) + 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 93*t + 1126. Let r be d(-10). Calculate the greatest common factor of r and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014933 divided by -12?\nAnswer: 338311\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c - 4. Let a = 8 - 3. Let s(r) = -153 - 150 + 36*r - 35*r + 304. Determine a*s(o) + j(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3064 at most as big as 9\/593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:26 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27754\/47 or -590?\nAnswer: -27754\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -337 or -336?\nAnswer: -336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)*(2 - 3). Is (-1)\/(c - (-2)\/(-106)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:47 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -7*t + 81 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1442994, 1442911, 1442830, 1442751, 1442674, 1442599?\n\"Answer: n**2 - 86*n + 1443079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 12:54 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4 + 11*j**3 - 4*j**2 - 5889. Factor i(c).\nAnswer: -c*(c - 8)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*c**2 - 44*c**2 + 28*c**5 - 16*c**4 + 16*c**4 + 2*c**5 + (2*c**3 - 5*c**3 + 0*c**3)*(2*c - 2*c + 2*c)*(3*c - c - 4*c) - 5*c**5 + 2*c**5 + 2*c**5.\nAnswer: 41*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 6 - 6. Find the third derivative of f**c + 9*f**3 + 2*f**3 - 6*f**2 wrt f.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-25)\/15)\/(-5*1\/2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 7*r + 5*r**3)*(-2*r**2 - 2*r + 2*r + (-r - 3*r + 5*r)*(-2*r - r + 5*r) - r + 2*r**2 + r + 0 - r**2 + 0 + 4*r**2 - 5*r**2 + 2*r**2).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680509719.\nAnswer: 3, 19, 239, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 2 + 43 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 4652*i - 50933. Give u(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68368 is divided by 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 4:32 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 575929 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -7\/120*z**6 + 1\/168*z**7 + 0*z**2 + z + 17\/80*z**5 + 1\/4*z**3 - 17\/48*z**4 + 11. Factor x(o).\nAnswer: o*(o - 3)*(o - 2)*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) + (sqrt(72))**2 + -3 + sqrt(2) + sqrt(2)).\nAnswer: 12*sqrt(2) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -361*c + 564. Calculate p(7).\nAnswer: -1963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 2*c + 7. Determine g(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*j - 3*s, -j + 5*s = -3*j + 43. Calculate the remainder when 67 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 16. Find the common denominator of (6\/(-20))\/(4\/(-250)) and (w\/6)\/((-1)\/(75\/70)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*p + 38, 8 = -3*p + f + f. Let a(y) = -y - 1. Let x be a(p). Suppose -4*j = -5*h - 156, 0*j + x*j - 4*h = 204. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.106? (a) -2 (b) -0.06 (c) -0.13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 4*d - 2. Let o be g(6). Let j = 10003 + -9953. What is the remainder when j is divided by 10\/35 - o\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-48)\/14)*35?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 24, 26, 28?\n\"Answer: 2*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (4592\/4)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/7, -2\/9, -4, 0.5 in increasing order.\nAnswer: -4, -2\/9, 0.5, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 11*v = 20. Let z(t) be the first derivative of -1 + 1\/12*t**v - 1\/9*t**3 + 0*t + 0*t**2. Find o, given that z(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1949 - -1944. Let j(l) = -22*l**2 - 8*l. Let t(g) = 15*g**2 + 5*g. What is q*j(c) - 8*t(c)?\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 13*a**3 + 0*a**3 + (6*a - 2*a + 5*a)*(2*a + a**2 - 1 + 2*a**2 - 2*a**2) to i + y*a + o*a**3 + l*a**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -174\/7, -3 in descending order.\nAnswer: 9, 3, -3, -174\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2 + 37\/222 - (-80)\/(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -11. Let r = z + -3. Suppose -r - 17 = -4*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 56564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*m + 21, 2*m + 11 = 3*b - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4733535?\nAnswer: 3, 5, 315569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaa when three letters picked without replacement from {o: 1, c: 2, a: 2, m: 3, x: 1, l: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. What is the units digit of 1 + 34*i\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minus -783395255?\nAnswer: 783395269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 5 = d. Is d <= 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242855*o + 13741912 = 242863*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 29, 46, 65?\n\"Answer: d**2 + 12*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1108, 1, -2\/7, 242?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -82 times -6.393\nAnswer: 524.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3124 + 3123. Let y be (-694)\/1936 + (2 - 2). Let d = 2\/121 - y. Sort j, d, 5 in decreasing order.\nAnswer: 5, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2808*i**2 + 30837*i - 12. Give h(-11).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13391*a**3*g + 25*a**2*g - 3*a*g + 20*g wrt a?\nAnswer: 80346*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*j = -52*j - 504. Suppose -2*n = 2*k - j, 2*n + 86 + 2 = 3*k. Calculate the lowest common multiple of 28 and k.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000 - 110000?\nAnswer: -10101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1474*o + 48 + o**2 + 1474*o to the form c*o**2 + s + q*o and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -8287, 2, -5, 3 in descending order.\nAnswer: 3, 2, -3, -5, -7, -8287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1115, -4359, -9729, -17225, -26847, -38595, -52469?\n\"Answer: -1063*m**2 - 55*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 + c - 2. Let o be (-1)\/5 - (-70)\/125*-5. What is d(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 214677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*a - 3 - 1, a = -2*x - 8. Let o = 221 - 152. Let h be (-34)\/x - (-92)\/o. Solve -2*z + h = -3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9)*-3)\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 639+0.056\nAnswer: 639.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6342 (base 10) to base 7\nAnswer: 24330","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Is 23358520769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let z(q) = 3*q**2. Let j(w) = 5*w**2. Let m(p) = 2*j(p) - 5*z(p). Give s(m(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 431 = -414 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 = 3*b, -z - 11*b + 20 = -7*b. Suppose f - 2*f + 1516 = z. List the prime factors of f.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 44 - 18 - 60 - 30*d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -597 divided by -3\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*a = -12052 - 6059 + 7391 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 26192.\nAnswer: 1\/6548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21552971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*m + 33*m - 42 = 28*m, -m + 5 = -0*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176188484.\nAnswer: 2, 44047121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 6*c - 4 = c + 2*l, -5*l - 7 = -c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 q when three letters picked without replacement from {q: 3, e: 3, r: 7}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5902 is divided by 1874.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 11 = 5*k - 5*j, j + 39 = -5*k. Let h(b) = -5*b + 19. Let o(f) = -f + 7. Let m(c) = k*o(c) + 3*h(c). Suppose 2*r + 3*r - 5 = 0. What is m(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32782303.1 rounded to the nearest one hundred thousand?\nAnswer: 32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 2576*p**2 + 728154*p - 725580.\nAnswer: 2*(p - 870)*(p - 417)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 770990 = -13*u. Suppose -2*g + u = -j, -g + 1662841 + 2192154 = -5*j. What is j rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -b + u + 2, 3*u - 9 = 0. What is the biggest value in -5, -4, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*n**4 + 40\/3*n**2 + 6*n**3 + 8*n.\nAnswer: 2*n*(n + 1)*(n + 2)*(n + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*r**2 + m**3*r - 31*m**2*r**2 - m**2*r - 115*m**2 - 47893*m*r**2 - 4494*r wrt r.\nAnswer: 4*m**3 - 62*m**2 - 95786*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823233469?\nAnswer: 29, 2251, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4021.\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 + 6 = 0. Let s(t) = -t**2 + t - 1. Let h(d) = -d**2 + 2*d - 2. Let z(j) = l*h(j) + 4*s(j). Let k(m) = -4*m. What is k(z(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 12394*t\/7.\nAnswer: -2*t*(t - 6197)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232*r + 8*r + 8634*r.\nAnswer: 7410*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19700382, 4 in decreasing order.\nAnswer: 19700382, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49953 or 2\/5?\nAnswer: 49953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -360992 divided by -3112\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249551597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 = -i - 2*v + 267, -i - 22 = 3*v for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77215, 154436, 231657?\n\"Answer: 77221*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {b: 2, w: 5, g: 2, n: 3, a: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 110. Let p(z) = 4*z**2 - 4*z - 6. Calculate the remainder when p(-4) is divided by -2*1*(266\/(-4))\/g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/779, 0.1, -796, -1.7, -2\/3?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -53*c**2 + 4*c + 1. Let x be u(3). Let q = 3749\/8 + x. Let h = 12193\/4 - 30431\/10. What is the common denominator of h and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 - 8*v + 15. Let a be f(-3). Solve -3*s - 24 = -a*j, -3*s = j + 1 + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1)*1\/(-1). Let t be 2 + s\/(-36) + -2. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*((sqrt(17)*2)**2*-3 + (sqrt(34)\/sqrt(50))**2) + -3.\nAnswer: 5008\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46175 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 417652 and 5404.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10149589?\nAnswer: 10149589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3508*o + 10. Determine k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129 and 44100?\nAnswer: 1896300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, u: 4, z: 6}. Give prob of picking 1 c and 1 u.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 + i**2 + i - 2. Let n be p(1). Let c(q) be the first derivative of -2\/15*q**n + 0*q + 2 - 1\/5*q**2. Factor c(w).\nAnswer: -2*w*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19732*k + 39601*k - 19807*k.\nAnswer: 62*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025014 (base 6) in base 14?\nAnswer: 144b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 11. Let y(m) = 2*m - 21. Suppose -3*a - 36 = -2*c + 27, 5*a = 2*c - 73. Let s be (-2)\/((-2)\/(c\/3)). Let i be y(s). Calculate l(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 595559?\nAnswer: -9528944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -105. Suppose s*a + 2 = 14*a. Suppose 5 = -4*m + 2*g - 3*g, -3*g = 2*m - 5. Is a > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 + -3))*(-15)\/10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1040 + -30?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -7. Let d = -11 + 48. Let s = -36.9 + d. Which is the nearest to 2\/3? (a) j (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 9*-1*(-20)\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/24 + 12\/72. Let h(z) = 2*z**2 + 2. Let v(c) = -1. Let t(d) = w*h(d) - v(d). Let l(m) = -4*m**2 - 5. Determine 6*l(a) + 11*t(a).\nAnswer: -2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 413816191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20507*w**5 + 14*w**4 + 5460*w - 98?\nAnswer: -410140*w**3 + 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6467849.\nAnswer: 6467849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.4956 + 0.2\nAnswer: 2.6956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - ((3 - 5) + 176). Let g = 454 + v. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3314*m**2 + 2*m + 1. Let t(l) = 6616*l**2 + 4*l + 1. Determine -5*j(n) + 3*t(n).\nAnswer: 3278*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7078*c**2. Let l(i) = 26*i**2. Calculate l(d(n)).\nAnswer: 1302550184*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26602968*c**3*f**2 + 3*c**3 - 114*c**2*f - c*f - 31*c - 1 wrt f?\nAnswer: -53205936*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - -2*sqrt(70))\/sqrt(10) + sqrt(84)\/(sqrt(12)*1).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04952 * -0.12.\nAnswer: -0.0059424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 0.9. Let j = 3 - 3. Suppose 2*y - 7 = 3*y - o, -y - o = -3. Put y, z, j in descending order.\nAnswer: z, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 5*g**2 + 3*g + 5. Let s be v(-5). Let q(t) = -53*t**3 + t**2 + t. Calculate the remainder when q(-1) is divided by (12\/s)\/(8\/(-180)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20293, 20297, 20311, 20341, 20393?\nAnswer: 20473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 94\/18 - 2\/9. List the prime factors of (-68)\/2*k\/(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 8*o - 2. Let m be p(7). Suppose m*r - 146 - 54 = 0. What is the greatest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93654.18 decades in years?\nAnswer: 936541.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 60*m + 54*m - 115*m. Let j(b) = -3*b + 4. What is i(j(s))?\nAnswer: 3*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**8\/4200 + v**6\/900 - v**3\/3 - 2*v**2. Let q(l) be the first derivative of j(l). Let q(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*w**2 - 176*w**3 - 171*w**3 + 345*w**3 to r*w**2 + l + k*w + f*w**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248 + 250. Solve 0 = v*s - 4*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -59, -113, -191, -299, -443, -629?\n\"Answer: -y**3 - 3*y**2 - 20*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*n + 195*n - 92*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -27. Suppose 4*g = -s*x - 17 + 93, 25 = -5*g. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)\/h**3)\/((((h\/(h\/(h**(-3\/7)\/h)))\/h)\/h)\/(h\/(h*h**2*h*h))) assuming h is positive.\nAnswer: h**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 144, 2, 0, -5, 3, -2715 in descending order.\nAnswer: 144, 3, 2, 0, -5, -10, -2715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -23*t + 3. Let j be o(-3). Let v = 218\/3 - j. Factor 0 - 8\/3*u + 8\/3*u**2 - v*u**3.\nAnswer: -2*u*(u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3013065ml?\nAnswer: 0.0003013065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 704344559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-30)*4 + (3 - 0)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (21 - 10)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, v: 6, q: 4, b: 2, p: 1}. What is prob of picking 2 v?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/9*p**3 - 2\/9*p**5 + 0*p - 14\/9*p**4 + 0*p**2 + 0.\nAnswer: -2*p**3*(p + 2)*(p + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {h: 1, v: 1, z: 3, l: 1, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 4*v + 3. Let g be (-1)\/((-2)\/16*-2). Let o be j(g). Solve z + 4*c + 12 = 0, -o*z - 8 = -2*c - 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2051, -4092, -6133, -8174?\n\"Answer: -2041*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + d. Let b(x) = -1 + 1 + 11*x**3 + x**2 - 6*x. Let a(h) = -b(h) - 6*k(h). What is the third derivative of a(y) wrt y?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + d = 17, 21 = 15080*d - 15079*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**5 - 11*m**5 + 35*m**5 - 11*m - 12*m**5 wrt m.\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 - 4*p**2 + 5*p**2)*(2 + 1 - 5)*(-4 + 1 + 1) in the form o*p**2 + f*p + z and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -122889a1 + -4?\nAnswer: -122889a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knqk when four letters picked without replacement from {n: 6, m: 1, q: 2, k: 9}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107661?\nAnswer: 3, 17, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/2 and 169\/128280.\nAnswer: 128280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 874038 and 912.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -6329\/5549 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5 + -4. Let m = q - 0.9. Let h = m + 2.1. What is h rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*y**3 + 24*y**2 + 14*y**3 - 21*y**3 + y**2 - 26*y**2.\nAnswer: 39*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 + 211*s + 2069. Determine d(-10).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z - 4*z - 54*s - 34, z + 9*s = 6*s - 61 for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-10))\/(j*j**(1\/7)*j)*(j*(j**2*j)\/j)**(22\/3) assuming j is positive.\nAnswer: j**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Which is the third smallest value? (a) 4\/7 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2644 and -15\/4.\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Let w(h) = 5*h**g + 7 + 6*h**2 - 2*h - 3*h + 0*h. Let r(o) = -4*o**3 - 5*o**2 + 4*o - 6. Let y be (-652)\/815 - (-29)\/5. What is y*w(l) + 6*r(l)?\nAnswer: l**3 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, d: 3, h: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a + 0*a**4 + 0*a**5 - 266*a**2 - 3\/5*a**7 + 0 + 0*a**6 + 39*a**3. Find the first derivative of u(m) wrt m.\nAnswer: -504*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -136, 1.3, -2, 3\/7, 0.7, -1\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -4 - 14. Suppose v*z = -3*n + 73, -14 = -2*n - 3*z + 38. Let p be (-1)\/((1 + -2)\/3). Solve -5*r = n - p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187*z - 67544 = -178*z + 87046 - 31740 for z.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-69)\/(-12)) + 10\/(-24)*3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51\/5 of a micrometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479*5\/10 + (-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 1496098?\nAnswer: 7480490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/250425 and -187\/300.\nAnswer: 1001700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(3))\/sqrt(3) - (sqrt(13) - sqrt(78)\/(sqrt(24)\/sqrt(4)))**2.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 21313.\nAnswer: 21313.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 3*u**7\/70 + 13*u**3\/6 - 11*u**2\/2 - 3*u. Let h(t) be the first derivative of s(t). Differentiate h(g) with respect to g.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 17048916*n - 24222128064588.\nAnswer: -3*(n - 2841486)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 655745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 468170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 111*j**3 - 40*j**2 + 2*j + 5. Let h(k) = -110*k**3 + 48*k**2 - 3*k - 6. Give 5*h(w) + 6*z(w).\nAnswer: 116*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2))\/sqrt(7) - (sqrt(5) - (sqrt(80) + -1)).\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10375 - 155719\/15. Calculate the common denominator of -19\/24 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16c4750 (base 13) to base 14\nAnswer: -dab675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 43*k**2 + 10*k**2 + 16*k**2 + 14*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aajqqainjaianaaa. Give prob of picking 1 j and 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57296*n + 57058*n - 8806 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*d**3 - 482*d**2 - 49068 with respect to d.\nAnswer: -180*d**2 - 964*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/482? (a) 2 (b) -3 (c) -2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -110001000010101000?\nAnswer: 110001000010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 370, 3, -12, 5, -2, -1, 30 in decreasing order.\nAnswer: 370, 30, 5, 3, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3003, -3020, -3057, -3114, -3191?\nAnswer: -3288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -15*x**4 - 95*x**3 + 735*x**2 - 405*x - 220 = 0.\nAnswer: -11, -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/17 - (-6 + (-492905)\/119) is divided by 259.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/6)*z)\/((z*z\/(((z\/((z*z**3)\/z*z*z))\/z)\/z)*z)\/z))\/(z**(2\/5)*(z**(-3\/5)*z)\/z*z)*((z**(-2\/13)\/z)\/z*z**(-2\/19))**(3\/31) assuming z is positive.\nAnswer: z**(-58183\/7410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.8 - -2.5.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3815 - -3820. Suppose 41 = 4*j + 4*o + 9, 0 = 2*j + 3*o - 21. Suppose -3*k = -j*x - 615, -5*k - d*x + 150 = -845. What are the prime factors of k?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-6)*-219 + 2 + 1?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105684791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9013, -18006, -26999, -35992, -44985?\nAnswer: -53978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 9 = -2*a, 4*a + 3*x = 2 - 5. Solve -50 = -5*f + a*v + 2*v, 35 = 4*f - 3*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/5*-6)\/((-99)\/(-33)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/21035672 and 13\/3857?\nAnswer: 399677768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*g**3 + 0 + 24*g + 22\/5*g**2 = 0. Calculate g.\nAnswer: -12, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/5 + 4384*i**3\/5 - 35009*i**2\/5 + 4334*i\/5 + 183792\/5 = 0.\nAnswer: -2, 3, 7, 4376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-14) - 54\/(-126)) + 35\/539?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/18 + 104\/12. Differentiate -2*z + 217*z**2 - 29 - g - 239*z**2 wrt z.\nAnswer: -44*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u - 10, 2*m + u - 57 = 0. Let b = -58 - -69. Calculate the remainder when m is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 989 divide 83163032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10135870 divided by -5067935.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-1)\/(-2) - 1. Suppose -60 = -7*t + y*t. Solve 3*z + 8 = 2*l, 1 = -4*z + 5*l - t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 4*c - 9. Let b(t) = 14*t**2 - 15*t - 38. Suppose -10*w - 4 = o - 9*w, o = -2*w - 6. Let v(g) = o*b(g) + 9*z(g). What is v(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7952431421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56.61 + 55. Let a = -2.8 - t. What is a rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -892 less than or equal to 1941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.8525178 + -6.8446. What is y rounded to four dps?\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668716117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 378 + 7087?\nAnswer: 7465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 4*j**3 + j**2 - 855. Determine z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4660005 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4956817 (base 10) to base 8\nAnswer: -22721221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 < 94109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:14 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 3:10 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1470.28031 to the nearest ten.\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -847 or 33422?\nAnswer: 33422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 6262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 113757097 to the power of 1\/2, to the nearest integer?\nAnswer: 10666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 11*m**3 - 144*m**2 + 43*m + 17. Let c(n) = -n**3 - 15*n**2 - n + 1. Let v(j) = -10*c(j) - x(j). Find the second derivative of v(d) wrt d.\nAnswer: -6*d + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1141 + 1390. What is the remainder when n is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -17. Let m(w) = 3*w**2 - 14*w - 2. Let f be m(5). What is the nearest to 1\/4 in h, -7\/5, f?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r + r. Solve r = 5*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*j**4 - 5*j**3 + 181 wrt j.\nAnswer: 132*j**3 - 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.349 + -1.34893771. What is q rounded to 6 dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9477209 divided by -7?\nAnswer: -1353887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - -4.8. Let b = -5.9999875 + h. What is b rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 214\/311.\nAnswer: -9, 214\/311, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-92))\/(4 - (-85)\/(-20)). Let b = x - -56\/115. Factor 0*q - b + 2\/5*q**2.\nAnswer: 2*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.95 - -1.05. Which is the nearest to 1? (a) o (b) 12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -73563680?\nAnswer: 73563700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3216 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 0.226388522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 3. Let l(j) be the second derivative of -j**2\/2 + 5*j - 15. Determine -b(c) - 6*l(c).\nAnswer: c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 16. Which is the nearest to v? (a) -0.1 (b) 12 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = y + k - 5*k, 3*y + 4*k = 239. Let b = y + -13. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(c - 3*c - 2 - 5*c).\nAnswer: 21*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i + 242. Let s be g(41). What is the units digit of s*15\/12 - (-586)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 + 5294*i - 5295. Determine l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(6000) + sqrt(6000))\/(sqrt(12) + (sqrt(96) - sqrt(96)*1)\/sqrt(8)) + (1*sqrt(125)*-3 + sqrt(125) - (sqrt(125) + 1 + 2))**2*-2.\nAnswer: -2268 - 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 - 188 + 696)*(3*z - 2*z - 3*z) + (-4*z + 2*z + 0*z)*(0 + 1 + 1) + 0*z + 2*z - 3*z - 2*z - 2*z + 6*z.\nAnswer: -859*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101*o**2 + 101*o**3 + 3556 + 90*o**3 + 628 - 201*o**3 with respect to o.\nAnswer: -30*o**2 - 202*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 2. Let b(l) = -384*l + 383*l + 3 + 0. Give -5*b(c) - 6*y(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3108446134.69 and 1.1?\nAnswer: 3108446135.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732886.\nAnswer: 2, 7, 11, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14075?\nAnswer: 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -9\/2*y**6 - 107 + 0*y + 0*y**5 + 0*y**4 - 5*y**2 - 1\/3*y**3. What is the third derivative of r(a) wrt a?\nAnswer: -1620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3709483 and 618983?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = 12. Suppose r*c + 0 = -5*b + 14, 5*b - 10 = 0. Suppose 0 = -5*u + c + 9. Solve -6 + 0 = u*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -916 divided by 296.\nAnswer: -229\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2897 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5634*745\nAnswer: -4197330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.8 in 1\/6, -4, 0.16, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 - 13261?\nAnswer: -13122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebybb. What is prob of sequence yeb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (33\/(-6) + -2)*-1*2. Solve -p + l = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 15. Let n = r + 3. Which is the third biggest value? (a) n (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*p**5 + 4793*p**4 - 2*p**3 - 1328151*p**2.\nAnswer: -660*p**2 + 115032*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhdh when four letters picked without replacement from hdtthiihhhhhhitdh?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -155 - -493195?\nAnswer: 493040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 7:20 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 1, i: 2, x: 1, s: 4}. Give prob of sequence is.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -21. Let p = -6.5 - k. What is the second biggest value in -5\/3, p, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -228 + 238. Is (3229\/4)\/(r\/40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55 + 28 - 62) + 20 + 1\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177708697*z**3 + 150932416*z.\nAnswer: -1066252182*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/286 and -73\/10.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (77*c**4 + 5*c**3 - 5*c**3)*(145 - 34 + 69) in the form l*c**3 + k + w*c + f*c**2 + y*c**4 and give y.\nAnswer: 13860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4612 a factor of 1187031948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**8\/3360 + t**7\/180 + t**4\/4 + 26*t**2. Let x(b) be the second derivative of k(b). Find the third derivative of x(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/7, -1\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 7*j + 3. Let a be l(7). Suppose a*y - 34 = 5*z, 5*y - 30 = -0*z + 3*z. Suppose n = -1 + y. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((4 - -2) + -3 + -2) - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/3 - (-11 + 212152\/(-69)).\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6*g - 2. Let r be (1*-1)\/(8\/56). List the prime factors of w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23294 or 442590\/19?\nAnswer: 23294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zccxeqqceeee. What is prob of sequence zexq?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/288 + -1*39\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.3 (c) 14\/221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 + -1)*700\/630. Is -21 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - ((-6 - (-31 - -17)) + (4 - 5)) - -4?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3097.423 micrograms in grams?\nAnswer: 0.003097423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -15919526*h**2 - 15. Let i(q) = -q. What is i(x(s))?\nAnswer: 15919526*s**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 13 = -11, -3*x + 4*g + 1000 = 0. Calculate the remainder when x is divided by 72.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -34. Let u = 3.5 + -3.8. What is the third biggest value in u, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 197?\nAnswer: 4\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*200\/2760?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4031*a**2*t**2 - 2*a**2*t - 9*a*t**2 + 226*a*t wrt a?\nAnswer: 8062*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/3 - f**4\/6 - 2*f**3\/3 - 2*f**2. Let k be g(-2). Calculate the remainder when (18\/(-4))\/((-14)\/k) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -11, -22, -35, -50, -67, -86?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - o + 12, 0 = 4*p - 3*p - o + 4. Let j be (-21)\/(-9) - p\/3. What is n in 2*n**4 - 2*n**j - 4*n**4 + 4*n**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (9\/6)\/((-7)\/28*-3). Solve -x*v = -d + 11 - 2, d - 13 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 1 + -14 + -198. Let i = -95 - r. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-2 + 0 + 1). Let o be (-38)\/h + (-1)\/2. Let f be (3 - 32\/12) + 535\/15. Calculate the highest common factor of o and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22473 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 7998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 2. Let p be w(4). Suppose 0 = -3*f - n + p, -4*f + 0 = -5*n - 6. Let v be f - (-2 + (-8)\/2). Calculate the greatest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-144 - 7) - 5. Let t = m + 859. What is the highest common divisor of t and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u - 2. Let s(d) = 16*d - 3. Let g(k) = 3*s(k) - 5*x(k). Let l(i) = -136*i - 87*i + 399*i - 89*i + 1 - 86*i. What is g(v) - 6*l(v)?\nAnswer: 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/18 and -2\/213?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23614 or -23620?\nAnswer: -23620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ba79d (base 14) to base 10.\nAnswer: -989351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and 4438?\nAnswer: 133140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -88\/7 - 8\/7*d**2 - 180\/7*d = 0. Calculate d.\nAnswer: -22, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/6 + q**3\/6 + 5*q**2\/2 - q + 255. Let v(p) = -p**2 + p + 3. Calculate -3*k(y) + 5*v(y).\nAnswer: y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Let q be u(-2). Let v be 26\/(-24) + 1\/(-3). Let r = v - -7\/4. Are q and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + (2 - ((2 - -7) + 5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 14. Let h be j(-3). Suppose 36 = -0*t + 3*t. Let l = h - t. What is the highest common divisor of l and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-5 + 4*sqrt(320) + 3)**2 - (6*(sqrt(320) - (sqrt(320) + 2)) + 1*2*sqrt(320))) + -5).\nAnswer: -720*sqrt(5) + 25655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 + 3*q + 3. Let x be (-2)\/3*90\/12. Let a(i) = 7*i**2 - 6*i - 5. What is x*f(d) - 3*a(d)?\nAnswer: -d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from {v: 4, b: 3, n: 6, o: 1, f: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.157 - -0.057. Which is the third smallest value? (a) -4\/11 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0*o + 11*o**2 + 0*o**4 + 0*o**5 + 1\/42*o**7 + 0 + 0*o**6 + 13\/6*o**3. Differentiate i(g) with respect to g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4027760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4040\/(-46965)*2\/20*(-16)\/((-288)\/(-135))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8143954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 1480 = -4*r, -3*b = -r + 374. What is r rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 231700 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:23 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*v = 21996 + 20628 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Calculate n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/((-489)\/4075)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -631456 + 344956. Round z to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n**4 + 9*n**4 + 16*n**4)*(-1 + 1 - 2)*(n + n - n).\nAnswer: -22*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (45 - (153 + -144)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40060 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*o**2 + 0*o**4 + 2*o**4 - 2*o**2 - 7*o**2 as y*o**3 + r + g*o + v*o**4 + w*o**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 10) to base 14.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8992760657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/110 and -71\/29700?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1379, 1877, 2437, 3065, 3767, 4549, 5417, 6377?\nAnswer: 7435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -1 - 1) + 4. Suppose 3*t = -i*o + 18, -8*t + 3*t + 8 = o. Find the second derivative of 2*g + 9*g - 4*g**o - 5*g wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 258\/129*(-35)\/((-7 + 5)*1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -291 + 296. Solve -3*n = 2*n - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5 - 108*s**4 + 444*s**3 + 666*s**2 - 447*s - 558 = 0. Calculate s.\nAnswer: -1, 1, 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43570834 is divided by 2159.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328.779*-522.\nAnswer: -171622.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373017354?\nAnswer: 2, 3, 7, 163, 164233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (462822\/15)\/(54\/135) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89.004 + 0.004. Let p = -2.12971 + -86.83329. Let n = p - k. What is n rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d - 20 = 0. Suppose -2*a - 40 = -3*p, d*p - 7 = -2*a + 49. Differentiate p*q**2 - 2 - 1 + 0 - 15*q**2 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123488280 + 15688280 = 11*o. What is o rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-8 + (-5 - -4). Let r be (-2)\/q*19 - 12\/54. Solve r*x - 11 - 1 = -f, 5*x - 6 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5 + 17. Solve -2*g = -q*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3\/3 - 309544*q**2 - 928618*q\/3 + 1857260 = 0.\nAnswer: -464315, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8370881539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990748 is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-5)*(-685)\/1096. Let j(o) be the second derivative of -6*o + u*o**4 + 0*o**2 + 0*o**3 + 0. Let n(h) = h**2. Calculate j(n(r)).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {i: 7, o: 2, r: 11}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 5*m, 7*i - 4*i + 9 = 0. Suppose -3*w + 12*w + 783 = m. Let t = w - -171\/2. Is -1 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 40.999932. What is z rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051291 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 223, 450, 679, 910, 1143, 1378?\n\"Answer: c**2 + 224*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31294704 is divided by 2382.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 1, v: 5, y: 3, u: 4}. What is prob of sequence fym?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u - 82. Let w be d(-47). Calculate the common denominator of -125\/24 and (-2015)\/w + 15 + -7.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 s when four letters picked without replacement from uuauruuxxszuursxuu?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 5. Suppose -2*h + w + 4 = -1, 5*h = -w + 16. Suppose h = -2*c + 9. Does 23 divide f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114677\/68286 + -181\/599. What is the common denominator of c and 19\/10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -107*(-3)\/(-6)*-2. Suppose 0 = 3*l - 5*v - 80 - 11, 3*l - m = v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 38 = -s, -2*s + 90 = -0*s + 5*o. What is the remainder when s is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103749*g**2 + 3109*g - 2 wrt g?\nAnswer: 207498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5115, -10846, -16577, -22308, -28039, -33770?\n\"Answer: -5731*n + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 1, x: 1, g: 1, e: 1, n: 2}. What is prob of picking 1 s, 1 g, 1 p, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/3)*q*q)\/(q**3\/q))**(3\/2))**33 assuming q is positive.\nAnswer: q**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.159091 months to millennia.\nAnswer: 0.00042992425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522342 and 11016.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-4)\/(-8)*82. Let b = n - 44. Suppose b = -2*w + 4 + 12. Solve w = 2*v + 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-8 - (3 + -22))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216640 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118501 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 36\/20 + -3. Sort 0.3, 4, c in ascending order.\nAnswer: c, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 55\/7 of a week?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 1207d?\nAnswer: 12083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102221 - 22?\nAnswer: -10110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.30428 * 0.35\nAnswer: 1.156498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -6*l + 1022. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3265 divide 45426702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85336390.\nAnswer: 2, 5, 8533639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from lklck?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/5))**(21\/4)*j*j**(-1\/8)*j**(-3)*j assuming j is positive.\nAnswer: j**(-171\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:46 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1 + 2 - 5. Let o(r) = -3*r - 46. Let a(x) = -x - 17. Let w(u) = 11*a(u) - 4*o(u). What is 6*l(h) - 4*w(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x. What is the remainder when b(2) is divided by (1 - -1 - 0) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 + w + 70. Let z(d) = -4*d**2 - 3*d - 70. Let b(n) = -2*x(n) - 3*z(n). What is the tens digit of b(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/84)\/(448\/(-6720))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1411, -2823, -4233, -5641, -7047?\n\"Answer: x**2 - 1415*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 6*n = -21. Let m be 12\/n*(0 - -7). Determine t so that -3*t**2 + 2*t - 4*t - m*t = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*h - 50 + 37*h + 50 as u + v*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-83)\/(-24) + (-5364)\/144 + 38 and 71\/768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 4*a**2 + a + 5. Let z be f(7). Are z and -133 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 259224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y = 18*y + 81*y - 620. Let q(f) be the second derivative of -y*f + 0 - 1\/36*f**4 + 1\/6*f**3 + 2\/3*f**2. Factor q(a).\nAnswer: -(a - 4)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(32) + sqrt(2) + sqrt(2) + -2 - (-5 + 1 + sqrt(8)\/sqrt(4)))**2.\nAnswer: 100*sqrt(2) + 1254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-60)*3\/4. Let k(w) = w**2 - 7*w + 1. Let z be k(7). Is z < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*c + 1)*(7 - 77 - 6) - 49 + 49 + 15*c)*(-6*c**2 + 3*c**2 - 2*c**2).\nAnswer: -835*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 725 + -734. Which is the closest to -2\/13? (a) r (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, o: 7}. What is prob of picking 2 o?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270588 - 5892*i + 270588 - 48456*i.\nAnswer: -54348*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19910.37ng?\nAnswer: 0.01991037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5236305 and 0.06.\nAnswer: -0.03141783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 31 = 5*c - 103, f = 4*c - 100. Is c less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*1.2528.\nAnswer: -15.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 5, 17\/2, -0.2, -1\/12?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13986265, -13986247, -13986227, -13986205, -13986181, -13986155, -13986127?\n\"Answer: x**2 + 15*x - 13986281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -365332.\nAnswer: -5\/365332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - d + d)*(-2 - 2 + 1)*(-48*d**3 + 2 + 26*d**3 + 25*d**3) to the form m + t*d**2 + w*d**4 + x*d**3 + v*d and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2 - 6. Suppose s*d = d. Suppose d*z = -2*z + 64. Calculate the greatest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -51. Let z be o\/(-7)*((-6)\/4 + 2). Suppose z = 5*f - d - 390, d = 2*f - f - 82. What are the prime factors of f?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-88))\/3*-220*(-44)\/8470?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-10332)\/328)\/(((-6)\/9)\/(56\/378))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:32 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23107147*b**4 + 42373888*b wrt b?\nAnswer: 277285764*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -22. Let i = 71 + j. Suppose 5*w - 3*l = 45, -2*w - 5*l = -7*w + i. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -28*g + 202. What is p(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 + u + 1. Let f(n) = 88*n**3 + 4*n - 45*n**3 - 3*n**2 - 35*n**3 - 80 + 84. Determine f(x) - 3*h(x).\nAnswer: 5*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/9 and 83\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/4)\/(-17)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187509561?\nAnswer: 3, 89, 702283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276 - 276. Put m, 1, -1\/6, 0.01 in ascending order.\nAnswer: -1\/6, m, 0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 38*i**3 - 32*i**3 + 4*i.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -236bc (base 16) to base 7\nAnswer: -1142662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-2 - 15))*2\/8. Suppose 4*f = 3*q - 23, -d*f = -q - 6*f + 3. Let j = 0.9 + -1.3. Which is the smallest value? (a) q (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4)*(-8)\/(-18))\/((-1)\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, -4*l = q - l. Suppose -5*k = -20, f - 2*k = -q*f - 6. Let u(g) = -1. Let p(m) = -m**2 + m - 2 - m. What is f*p(c) - 4*u(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2*m - 1. Let u be s(2). Is 2 - (-153)\/(u + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.78 - 0.38. Is -0.07 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78652 * -10.5.\nAnswer: 825846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 8*n - 4. Determine i(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + (32 - 13 - (2 - -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 2*v**2 + v - 2. Let y be n(-2). Let d = -12 + 10. Which is the biggest value? (a) d (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1543078 and 808?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 + 204*u + 1590. Give n(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263548 is divided by 5563.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 200, 2\/3, -0.5, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 8*y**2 - 4*y + 3. Let h be v(5). Let g = 68 - h. What is the remainder when 28 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 11*d - 6. Determine x(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 + 2*k. Let z(v) = -7*v**2 + 11*v + 6. Calculate -2*g(q) - z(q).\nAnswer: -q**2 - 15*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((441\/56)\/7)\/(111\/2368)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = l, -5*l - z + 37 = 10. Put l, 6, 1 in decreasing order.\nAnswer: 6, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.039 - -3278674649.\nAnswer: 3278674649.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -2*r - 3*f, 4*f - 3*f = r - 225. Calculate the greatest common divisor of 319 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(252)*1).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-520)\/(-364))\/((-1)\/14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**3 - 85*d**2 + 2570*d + 5440 = 0?\nAnswer: -32, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-579283.\nAnswer: 46342.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 8*l = 0. Let t be 7 - (-3 + 2 + -2). Let r = t + -7. Solve l = k + 3*z - 1, 0 = 5*k + r*z - 2*z - 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5726 to the nearest 100.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2597, -4852, -7097, -9326, -11533, -13712, -15857, -17962?\nAnswer: -20021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12 - -2)\/7 + 1*2. Suppose -t - q*t - 2*r = -55, 0 = -4*r. Let l = -24 - -79. What is the highest common factor of t and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, h: 1, m: 4, n: 2, i: 1}. What is prob of picking 1 m, 2 n, and 1 i?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rruuurrr. What is prob of picking 2 r?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.3 (c) -2\/7 (d) 4\/7 (e) 18 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 838*l**2 - 8*l - 68. List the prime factors of z(-3).\nAnswer: 2, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x**3 - 9. Let b(a) = -3*a**3 + 4 + 4*a**3 - a**3 + 5*a**3. Calculate -9*b(y) - 4*q(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -360.6, 1\/8, -83?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 - 823*r - 10275. Give g(-151).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -19*q + 1. Let g(n) = -6*n. Let v(j) = -7*g(j) + 2*s(j). Let f(t) = -4*t + 6*t - 3*t. Determine 2*f(b) + v(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 35. Let d be (-5)\/((-15)\/2)*3. Suppose 3*b - i = -d*r - 7, 0 = 2*r - 3*b - 43. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 19*u**2 + 143*u - 2717. Let h be d(19). Which is bigger: 9\/631 or h?\nAnswer: 9\/631","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106821 divided by 13?\nAnswer: 8217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 740888188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -33*x**3 + 18*x**2 - 9*x - 19. Let r(t) = 8*t**3 - 4*t**2 + 2*t + 5. Determine -2*f(a) - 9*r(a).\nAnswer: -6*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**5\/120 - v**4\/4 - 5*v**3\/12 + 17*v**2\/6 - 15*v - 70. Find u such that h(u) = 0.\nAnswer: -17, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1041 + 1046. Solve 0 = -3*z + y*s + 12, -4*s = -3*z - 8*s + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let k(g) = -g**3 - 9*g**2 - 8*g + 1. Let f be k(-8). Put j, f, -1\/2 in decreasing order.\nAnswer: f, j, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*4\/24*3. Suppose n*x = 4*k - 10, -x = 5*k - 0*k - 23. Which is the second biggest value? (a) 0.4 (b) -2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 2*c + 4*c)*(-3*c + 3*c - c) + 12*c**2 - 17*c**2 - 5*c**2 to the form j + b*c**2 + w*c and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942010.\nAnswer: 2, 5, 94201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 3 - 315*o - 10 + 0 - 2*o + 0 - o - 2 + 2 + (-5 + 1 + 3)*(o - 1 + 1) to the form n*o + r and give n.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 4. Let a(y) = 2*y**2 - s*y - y**2 + 0 + 2. Let d be a(4). Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1033732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27765*t - 30 = -3*p + 27766*t, -t = 2*p - 20 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 + 67 - 5*s + 70.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 7. What is the nearest to c in 5, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 9.933. Let j = i - 0.082. Let t = j - 0.104. Round t to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 6 = 0, -d = 5*a + 69 - 54 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1978164.3 months to decades.\nAnswer: 16484.7025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r + 4*n = -43*r - 38872, 0 = -5*n + 15. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -14. Let w(b) = -b + 6. Let r be w(0). Suppose -r = -g*c - 1. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 117*k - 1450. What is t(69)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -722*o**3 - o + 1355 wrt o.\nAnswer: -4332*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3 + 45840*g**2 - 307380096*g + 488301083648 = 0 for g.\nAnswer: 2296, 10312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 0*w**3 - w**3 + 10*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, -1, -2, -9 in decreasing order.\nAnswer: 6\/11, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -5*o**3\/3 + o**2\/2 - o - 6. Let p be q(1). Let g = -0.44 + 0.74. What is the third biggest value in g, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 87478340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -838, -840, -842, -844?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.5, 0, -5 in descending order.\nAnswer: 0.3, 0, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 9, 16, 23, 30?\n\"Answer: 7*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*(sqrt(180) + 1*sqrt(180)))\/(sqrt(10) + sqrt(810)*1 + sqrt(810)) + 5)**2.\nAnswer: -84*sqrt(2)\/19 + 17761\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1970 in -2\/9, -74, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654922 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -17, -36, -73, -134?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -49 + (115 - 78).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9487 a factor of 40772217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {r: 4, y: 1, h: 2, x: 1, b: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*8\/(-80)*-20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 598*w**2 + 2550*w**2 - 2*w + w.\nAnswer: 1952*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127578?\nAnswer: 2, 3, 11, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 3*r + 79*r**2 - 1 + 0. Suppose -5*j = -2*j - 3. Let s be k(j). Calculate the highest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 6855501.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877.49950846652 less than 0.1?\nAnswer: -1877.39950846652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -261*p**2. Let o(s) = 7*s**2 + 17*s**2 - 22*s**2. Give f(o(l)).\nAnswer: -1044*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 3. Let x be a(-5). Let w(z) = -7*z**3 + 2*z - 1. Let n be w(1). List the prime factors of 9 + x\/(4\/n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2*n - 5*n)*(-19 + 0 + 5).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -18*l - 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 27, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.9, -6755, -4, 13?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201110031 (base 4) to base 14.\nAnswer: 132b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84707039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 6, 5 in decreasing order.\nAnswer: 6, 5, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1232, -1352, -1552, -1832, -2192, -2632?\n\"Answer: -40*k**2 - 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0633055 rounded to four decimal places?\nAnswer: 0.0633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26.96413+-6757134\nAnswer: -6757107.03587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l + 24. Let u = 22\/3 + l. What is the third smallest value in u, -1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, 53, 269 in descending order.\nAnswer: 269, 53, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 10.08.\nAnswer: 2.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-105) - 153\/(-255))\/((-4)\/(-3)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a28b1 + -7c9?\nAnswer: a20b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5733)\/(-1638))\/(2\/(12\/3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-119) + 0)\/(7\/(-343)*-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(48)\/sqrt(4)*3*1)\/(sqrt(4)*-1*-6 - (sqrt(128)\/sqrt(4))\/sqrt(8)).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71583 is divided by 23836?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 0*v + 5*v - 3 = 0, -z + 3*v = 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(2 + 2 - 2)*(-504 + 677 + 5*t - 3*t).\nAnswer: -8*t - 692","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 47 - 7 = 0. Let k be 1\/2 + (-2835)\/w. Suppose k = 2*j + 48. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 368? (a) 0 (b) 8 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14944022 rounded to the nearest 100000?\nAnswer: 14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0 - 6. Suppose 4*x - y*c + c - 8 = 0, 4*x - 4*c - 4 = 0. Calculate the common denominator of -59\/7 and (x - 5) + 46\/18.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Let a(g) = -g**2 - 37*g - 48. Let y be a(-31). Let m be (-3 - y\/(-17)) + -5. Sort z, -5, m in decreasing order.\nAnswer: m, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15726 divided by -6?\nAnswer: -2621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3733, -3585, -3439, -3295, -3153, -3013?\n\"Answer: -h**2 + 151*h - 3883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-15))\/((-2)\/(-10)). Let k(b) = -1 + b**2 + 5*b**2 - 4 - 2*b + r. Calculate the remainder when k(2) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**24*(b**(-1\/21)*b*b)\/b*b\/(b\/b**9)*b\/(b**(-1\/5)*b) assuming b is positive.\nAnswer: b**(3586\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 11) + -7 + (5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.21 and -0.0527848322456.\nAnswer: -0.2627848322456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**18*b*(b\/(b*b**(-7)*b))\/b)\/(b**(2\/13)\/b)**(-46) assuming b is positive.\nAnswer: b**(-194\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 4*d**2 - 2*d - 6. Suppose 0 = 2*n + 4*k + 2 - 6, n = -4*k + 6. Let b be 2 + n + (3 - 7). What is v(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koobhokhozbheob. Give prob of picking 1 e and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p = -25*p - 10. Let n(u) = -2*u + 2*u + 3*u - p*u. Let q(j) = 5*j. Calculate n(q(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*o**4 - 1227*n*o**3 + 101*n*o**2 + 8*n*o - o**4 - 7883*o**3 - o**2 + 5559*o wrt o?\nAnswer: 24*n*o - 7362*n - 24*o - 47298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7.1. Let q be 8\/77 + 4\/22. Which is the closest to 0? (a) l (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11726?\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -208733, 0, -0.009?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 552.2 - -0.6\nAnswer: 552.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1041, 2084, 3127?\nAnswer: 4170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87185*b + 5*i = 87180*b + 355, 2*b = 3*i - 208 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 - 1 = 0. Let s be g\/2 + 4 + -3. Suppose o - 39 + 1 = s. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - c + 6*c)*(3*c**4 - 4*c**4 + 0*c**4) + (-3*c**5 + 5*c**5 - 4*c**5)*(4 - 2 + 4).\nAnswer: -13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/(sqrt(1089)*-1))\/(((sqrt(216)*-1)\/sqrt(9))\/sqrt(2)))**2.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 2859*f**4\/2 - 5587*f - 3171. What is the first derivative of o(d) wrt d?\nAnswer: 17154*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140389400 rounded to the nearest one hundred thousand?\nAnswer: -140400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 243 = -3*u, -23*d + 1165 = u - 3*u. What is the highest common factor of 3961 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203321231 + 3133?\nAnswer: -203312032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15513707 by -3607.\nAnswer: 4301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**2\/2 - 361. Let y(s) = -2*s + 1. What is -14*j(u) + 2*y(u)?\nAnswer: 10*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/8*(-2272)\/3124?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213579 and 26847?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-2 - 1 + 12) - 4 + 5 + 0)*(3*t - 4*t + 4*t).\nAnswer: 57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53\/56? (a) -17747 (b) 1 (c) 4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*w - 3671 + 4660 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 17. Let d be j(-7). Suppose 2*f - 48 = -3*g + 3*f, -3*g + 48 = -d*f. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 632, 1248, 1874, 2516, 3180, 3872, 4598?\n\"Answer: u**3 - u**2 + 612*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-27) + (-1540)\/36. Let h = y - -25. Let g = -14 - h. Solve p = g - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.187 + 6.5\nAnswer: 6.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 663151293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*j**3*m - 132*j**3 + 4*j**2*m**4 wrt m.\nAnswer: -33*j**3 + 16*j**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 3. Let c be f(-1). Suppose c = 3*i - 19 + 4. Solve -i*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -21004575.\nAnswer: 1\/4200915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4630623 to the nearest integer?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69485 is divided by 1244?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 681 + 789. Let c = 602 + w. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 319724961.299999508 + -319724960. Let l = 1.3 - u. What is l rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.581 + 3.1. Let i = g + -0.019. Let s = 209.8 + -210. What is the closest to 0 in 4\/5, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from {b: 8, w: 1, o: 1, i: 8, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 128964*q**2 - 902791*q - 773826.\nAnswer: (q - 128971)*(q + 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/9)*w**(-12\/5) assuming w is positive.\nAnswer: w**(-118\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30013 is divided by 639?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -193, -471, -865?\n\"Answer: -58*u**2 + 12*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307 a factor of 75097005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**21*(s\/((s**(-4)*s)\/s)*s*s)\/s**(1\/3)*((s*s**(1\/3))**(-4\/11))**(-26\/5) assuming s is positive.\nAnswer: s**(-5414\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (125\/75)\/(5\/240). What is the highest common factor of x and 4520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 + 70*g + 71. Determine k(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.22, 0.02, 0.3, 2\/11, -53\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -28 - 31 + 79 - 20 - 2079*l. Let w(s) = -5*s. What is c(w(p))?\nAnswer: 10395*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 62586986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*m + 32 = 0, -2*w + 6*m - 252 + 212 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 370156909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Let m(b) be the first derivative of -5*b**3 - 10*b**2 - 2*b - 5156. Determine m(i(a)).\nAnswer: -15*a**2 - 20*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - -18. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 9:20 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - u, 5*w - 2*u - 5 = 5. Solve w*a - 1 = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.2. Suppose 47*j = 44*j + 2*z + 2, 3*z - 11 = j. Let k = 12 - 7. What is the nearest to j in k, o, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqkr when four letters picked without replacement from qqqqqrkrrkqurkqqkk?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 4:36 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by -1*2*3649\/(-178)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11167 = -3*x + 2*o, 0 = x + 4*x + 4*o - 18619. List the prime factors of x.\nAnswer: 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:31 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 26 - 73. Let x = -60 + l. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7 - 85. Calculate the remainder when 36 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -b?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1726, -1478, -1104, -604?\n\"Answer: 63*d**2 + 59*d - 1848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44275127 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15254 at most 15256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = h - 37, -2*h - 9*h - 24 = k - 14*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -5, -1\/2, 0.03?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30904980*g**4 + 44513483?\nAnswer: -123619920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -7\/28701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2333*y - 2339*y + 1104 = 0. Suppose 0 = 5*z - 3*n + 300, 4*n + 40 = 3*z + 220. Let m = y + z. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247648864 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 22 + 155 = 0. What is the remainder when 34 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - 2*sqrt(45)\/sqrt(5))\/(sqrt(12)\/(sqrt(4)*2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5988894 is divided by 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -52.77. Let v = -4.73 - q. Let l = -4.4 - v. Sort l, 0, 1 in increasing order.\nAnswer: 0, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.4 (c) 0.9 (d) 42 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(2057)*2)**2).\nAnswer: -41145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32522\/705349 + -4\/3163. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 - ((-4 - -8) + -6). Suppose 3*m + 8 - 3 = -i, y = -5*m. Let r(n) = -n**3 + 5*n**2 - n + 1. Give r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*r - 46*r + 8. Suppose -3*s + 289 = 5*q, 6*q - 20 = r*q. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39477866.\nAnswer: 2, 19738933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 7*q**2 + q + 1. Give m(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -2\/3 (c) -0.08 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2739 + 831 = -2*t, -5*t - 5*z = -4770. Suppose 21*c - 75 - t = 0. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4148661544 from -8.\nAnswer: -4148661552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 9, 24, 47?\n\"Answer: 4*k**2 - 5*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-8\/7))**(-12)*(a**20\/a*a*a*a)\/a*a**22 assuming a is positive.\nAnswer: a**(121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - w - 33 = 0, -18 = -3*v + 3*w - 0. Let p be v\/(-12)*1\/3. Let t = 92 - 88. What is the nearest to p in 0.3, t, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216488, 865952, 1948386, 3463784, 5412140, 7793448, 10607702, 13854896?\nAnswer: 17535024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -232011323103 (base 4) to base 7\nAnswer: -204463053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -70.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s - 30*r + 32*r, 2*s - 10 = 3*r. What is the smallest common multiple of s and 3094?\nAnswer: 12376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 30. Calculate g(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -11045 (c) -1\/10 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 948*k = 900*k + 1248 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 105, 89, 71, 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**6\/40 + x**5\/10 + x**4\/2 - 4*x**3 - 2*x**2. Suppose k(f) = 0. Calculate f.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/6 - -9)*(-4 - 56\/(-12)). Let f = 1 - 0.98. What is the third biggest value in -1, f, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205\/6*(100\/(-12))\/(-5)*(-108)\/(-300)?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153432, 613735, 1380906, 2454945, 3835852?\nAnswer: 5523627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 710 - 5*y - 710.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z**2 + 5*z - 5. Let c = -5 - -9. Let u(t) = 12*t - 8*t + 10*t**2 + 1004 - 1008. What is c*j(x) - 5*u(x)?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 222995\/57 - 593609593\/151734. Find the common denominator of q and 65\/6.\nAnswer: 7986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614 + 750 = -216*x - 2456 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603759349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -2\/11, 0.03, -5.57 in descending order.\nAnswer: 0.03, -0.06, -2\/11, -5.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(3 + 44 + 0)*(-2 + 3*b**2 - 1 + b**2 - b**4).\nAnswer: 47*b**4 - 188*b**2 + 141","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10814.9986 - 10821. Let r = b + 6. What is r rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(32) + sqrt(512) + 2*(sqrt(2) + 1))**2 + 1.\nAnswer: -88*sqrt(2) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2589*p + 2. Let i(q) = 866*q - 1. What is -8*i(s) - 3*w(s)?\nAnswer: 839*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 13. Let r be l(10). Sort r, -1, 5 in ascending order.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*m = 29, -i + 7*m - 16 = 3*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 7. Solve u = t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.563 + 0.583. Let t = 3.9 - 4.9. Which is the smallest value? (a) t (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = j. Suppose -j*n = 5*x + 4, 2*x + n + 0*n = -2. Solve x*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 7*v**2 - 3*v**4 - 4*v**4 - 3*v**3 + 2*v**4 - 2 + 3*v = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -211*s**4\/3 - 439*s**2\/2 - 3*s - 11. Differentiate x(p) with respect to p.\nAnswer: -1688*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, p: 2}. Give prob of sequence sp.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 2 - (3 - 15). Suppose 4*m + 10 + i = n, 0 = -n + 3*m + 18. What is the greatest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24285205740788 from 0.03.\nAnswer: -24285205740787.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 6*x**2 - 6*x + 2\/3*x**4 + 0 + 0*x**3. What is the derivative of j(h) wrt h?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -441534 + -4361257. Let j = 4802707.99914 + z. Let x = j + 83. Round x to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/549 and 10\/90488437.\nAnswer: 814395933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115161 - 115150.0022. Let q = 11 - o. Round q to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 140?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14300 + -3?\nAnswer: -14303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*d + 9, m - 33359 = -4*d - 33380 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -15*i**3 - i**2 - 17*i - 6. Let a(d) = 76*d**3 + 4*d**2 + 90*d + 32. Give -3*a(j) - 16*r(j).\nAnswer: 12*j**3 + 4*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.11, -43\/5, -1\/3, 2038?\nAnswer: 2038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d. Let r(h) be the second derivative of 0*h**3 + 147\/2*h**2 - 121*h + 0 - 1\/6*h**4. Calculate r(i(l)).\nAnswer: -18*l**2 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 13*f + 13. Let k be p(-12). Solve 5*b + 5*x = 0, -x + 4 = k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + j + 1. Let q(c) = 3*c**2 + 2*c - 80. Let u(d) = -2*h(d) + q(d). Let x(o) be the first derivative of u(o). Let t(r) = -47*r. Calculate t(x(s)).\nAnswer: -94*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p + 3. Let r be (-6)\/(-9) - p\/(-3). Find the first derivative of -2*h**r - 2 + 0*h**2 + 1 wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*s - 6 - 34, -50 = -5*i + 5*s. Suppose 0*h = h - i. Suppose k - c - 14 = 0, k - h = -c + 3*c. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a**2\/5 - 58632*a - 537142410 = 0. What is a?\nAnswer: -36645\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 212 = z. Suppose 4*d + 5*y = 354, 4*d - 114 - 222 = 4*y. Let x = d + z. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462021659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2868 + 5932. What are the prime factors of y?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 + 0 + 295 + -349\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*b = 27, 2*a + 70 = -371*b + 409*b - 164 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 367628976 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 113*v**6\/120 + v**5\/30 - v**4\/12 + 10*v**2 - 5. List the prime factors of c(2).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3385, -13549, -30491, -54211, -84709, -121985, -166039?\n\"Answer: -3389*a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in 0.04, -0.4, 4\/5, -0.5, -0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 125550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 9) + -1 + 12 - (-35 - -23)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92*q**3 + 68*q**3 - 112*q**3 + 0*q**3 - q**3 - q**3 + (-2 + 1 + 0)*(q + 3*q**3 - q).\nAnswer: -141*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942998457285 less than 3?\nAnswer: -1942998457282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76591\/15 + -5103. Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 19756.579.\nAnswer: -59269.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 87 - 60\/30. Do u and 85 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81765539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-564)\/141*6\/16*1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28006010.\nAnswer: 2, 5, 2800601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 8227092.\nAnswer: -5\/8227092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m**4 + 0 - 3\/2*m**3 + 3\/4*m + 3\/4*m**5 + 0*m**2 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 57*p - 4. Let n be h(1). Let k = 55 - n. Which is the closest to 1? (a) -1 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122371 times -0.0444?\nAnswer: 5433.2724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.656 + 0.044. Let l = -207 - -227.9. Let w = l + o. What is w rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 15*b**2 + b - 15. Let w be t(15). Let n(p) = p - 6. Let g be n(6). Suppose g = -h + 3*h - 10. Solve o - h*o = w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(-3*-1*sqrt(325) + -1*(sqrt(325) - (sqrt(325) + -1 + sqrt(325) - sqrt(325))) + -1))**2.\nAnswer: -1500*sqrt(13) + 73221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, o: 3, b: 5, y: 1}. Give prob of picking 2 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(4))\/sqrt(7) - sqrt(2) - (sqrt(2) + 2*sqrt(50) + sqrt(50) - sqrt(2))**2) + (-3*sqrt(44)\/sqrt(2))\/(sqrt(176)\/sqrt(4)).\nAnswer: -450 - 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245906685 and 2070?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50973 (base 10) to base 4.\nAnswer: 30130131","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 12:13 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6358 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 56*a**3\/3 + 9*a**2\/2 + 27*a - 88. Let m be s(-3). Calculate the highest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11930672\/(-201474) + (-12)\/14 + 4\/54.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1) - (57 + 408\/(-6) + (-16 - 0))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-540)*30\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let p(u) = 15*u - 3. Give s(p(z)).\nAnswer: -30*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*v - 2*v - 712 = 0, 2*r - v - 284 = 0. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1185 + 1661*m + 868*m - 660*m - 1185 as c + o*m and give o.\nAnswer: 1869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7191 divided by -3.\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4530885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28443*h**2 - 25679*h**2 + 2512*h**2.\nAnswer: -51610*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:52 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199569?\nAnswer: 7, 24481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6151 - 18173\/3. Factor -100\/3*f**3 - 176\/3*f - 32\/3 - b*f**2.\nAnswer: -4*(f + 2)*(5*f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 71*y - 69*y + 12, -5*c + 3*y - 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**5\/20 + o**4\/3 + o**3\/3 - o**2\/2 - 2*o. Let w be b(-3). Factor 2\/7*p**w - 6\/7*p + 4\/7.\nAnswer: 2*(p - 2)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6425.415 rounded to the nearest ten?\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1684943712 divided by -10089.\nAnswer: 167008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 2*a**2 + 2*a - 3. Let j be w(2). Let v(f) = 16*f**3 - 1. What is the remainder when v(1) is divided by (-2 + j)*-1*8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13321 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Let k = -7 + n. Put -3, k, 2 in descending order.\nAnswer: 2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + 3*k. Let u be h(2). Let m(j) = -10 - 9 - j**3 - 7*j**2 - 3 - 8*j + 14. What is m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-541)\/(-2164)*8\/((-2)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Suppose z*h = -4*l + 14, l - 2*h = -0*l - 2. Suppose 0 = l*c - 3*c + 19. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 1461575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u. Let o(a) = -60*a**2. What is o(h(d))?\nAnswer: -540*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*k**3 - 315*k - 1?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(8\/156 - (-2 - (-12593)\/6006))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165 divided by -5?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 38*v = -10540. What are the prime factors of v?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302340 divided by -5039?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 31 = 4*k, -2*k - 189 = -3*f - 82. Calculate the least common multiple of f and 9.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 106400*b**2 + 106297*b**2 - 4 - 213523*b**2 + 6 as v + d*b**2 + y*b and give d.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (-4*(1 + sqrt(304)) - sqrt(304))) + 3)**2.\nAnswer: 336*sqrt(19) + 10993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 6*f**2 + f + 6. Let t be p(-6). Let x(m) = -m**3 - m**2 + m + 4. Let y be x(t). Find the second derivative of -6*c + 51 - 51 + 3*c**y wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 990c1bd?\nAnswer: 990c1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2008.5903 months to decades.\nAnswer: 16.7382525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -4a4?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9169 + -6027. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104015244 is divided by 34671738.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 2:51 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1 + 8 + -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31524 (base 6) to base 13\nAnswer: -1c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 + b**2. Let a be u(-1). Let f be ((1 - -1) + -89)\/((-3)\/8). Suppose a*c - 304 = 4*k, 0*k + k + f = 3*c. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z + u + 1 = 0, 0 = z + 3*u + 9. Suppose 0 = -5*p + 11 + 9. Let x = 60 + -64. Put p, x, -3, z in descending order.\nAnswer: p, z, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - 1305\/(2 - 7). Suppose 24*l + n = 29*l + 4*c, 4*c = -l + 51. Calculate the remainder when 191 is divided by l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24565 (base 10) to base 15\nAnswer: -742a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 11, e: 1}. What is prob of picking 3 p?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 3*b**2 + 10*b + 8. Let r(m) = 3*m**3 - 8*m**2 - 31*m - 24. Let q(c) = -7*g(c) - 2*r(c). Give q(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - t - 1. Let p be 204 - -3*(-2)\/(-6). Suppose 0 = -9*x + 101 + p. Let v = x + -35. Give q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8)*(-5)\/6)\/((-33)\/44).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 349406 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 9:35 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2, -0.03, 3\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53890600 rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -177748 and 0.9.\nAnswer: -159973.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76\/(-5)*25\/(-10). Calculate the highest common divisor of x and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + j - 14, -4*j - j + 37 = 4*t. Let u = -33 - -24. Let g be u\/6*(-14)\/t. Calculate the highest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126\/451 - 4\/41. Let p = 61 + -60.5. What is the smallest value in 4, -4, m, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k\/(k\/(k\/k**0)))\/k)*k)**50\/(k**(-2\/9)\/k**(-4)) assuming k is positive.\nAnswer: k**(1316\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a887a - d3?\nAnswer: -a895d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124327462.\nAnswer: 2, 7, 8880533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -16. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65782091 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(9\/(-40))*42\/(-15).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7 (b) -1\/4 (c) -3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/120 + 7*l**5\/4 - 231*l**4\/8 - 398*l**2 + 3. What is the second derivative of t(w) wrt w?\nAnswer: 6*w + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 4*g**3\/3 - 20*g**2 + 3*g. List the prime factors of h(16).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1398800 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 2132.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*18830.7456\nAnswer: 1883.07456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22246376, 22246373, 22246370, 22246367, 22246364, 22246361?\nAnswer: 22246358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194668921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116143*g + 2160 = -116083*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -10)\/(1\/(-8)). Let k = o + 16. Suppose 5*q = -5*v + 50, k = 3*v + 4*q - 25 - 10. Solve 0 = -2*c - n + 3 + 2, -c + 25 = v*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 8*g**2 + 3*g - 10. Let z be x(8). What is the remainder when 127 is divided by (-534)\/(-42) - (-4)\/z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*l**2 + 422*l**2 - 38*l - 848*l**2.\nAnswer: -11*l**2 - 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 12. Suppose -6*d - 16 = -64. Suppose 3*j - 5 = l, 2*l + d + 0 = 5*j. What is the remainder when k is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.7 less than 139.32?\nAnswer: 169.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/((-16)\/20)*(-630)\/(-63)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 4*w - 9*w**3 - 2 - 6*w**3 + 13*w**3. Let c = -3 - -1. What is the tens digit of r(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 6*c**2 + 3*c - 8. Let f be a(-7). Solve 0 = -8*s + 5*s - m + 2, -5*m - f = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/2 + 11 - 3. Suppose -25 = 3*b - w*b. Calculate the smallest common multiple of 4 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3314 - -9944\/3. Suppose 0 = -0*y + 3*y - 3. What is the nearest to y in -0.2, -7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16737 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (70 + -69)*(-2)\/(-12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207445306, 414890617, 622335926, 829781233, 1037226538?\nAnswer: 1244671841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -217\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25057903 - 17270699. Let p = 4412796 + l. Round p to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(242)*-3 + sqrt(242) + (1*sqrt(242)*1)**2 + 2 + -4)*6.\nAnswer: 462*sqrt(2) + 1446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-65)*25)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-73)\/(-8) - (((-25)\/(-8) - 0) + -3). Solve 0 = r + 3*j - 1 - i, 4*r = 5*j - 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.108, 3\/5, 0.5, 14\/9, -2\/587 in ascending order.\nAnswer: -0.108, -2\/587, 0.5, 3\/5, 14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + c - 5. Let a be h(0). Let g(z) = -z**2 - 4*z + 6. Determine g(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 255 = -5*d, 3*c = d + 4*d + 245. What is the common denominator of 35\/674 and d\/182 - ((-879)\/70)\/3?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7822 - 0.2631. What is h rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/(-4 - (-17)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 189101206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 10*s + 9. Let g(b) = 5*b + 58. Let a be g(-13). List the prime factors of k(a).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -102121?\nAnswer: 102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10.97315 days?\nAnswer: 263.3556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34925*l**2 - 2*l + 5519.\nAnswer: 69850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1980 and 216.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**3 + 4*l**2 - 2*l + 177. Calculate the lowest common multiple of 8 and g(10).\nAnswer: 36456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1155 - 711787?\nAnswer: -710632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -637 + 637.2444. Let s = 0.24 - v. What is s rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1063984*m + 200118*m + 594888*m - 6257382*m.\nAnswer: -6526360*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9914, 9919, 9936, 9971, 10030, 10119, 10244?\nAnswer: 10411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003036699051 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23248, 44381, 79602, 128911?\nAnswer: 192308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (96\/10)\/(8\/40). Let n be 1\/(-6) - (-104)\/q. Let v(k) = 5 - 5 + k**n - 11*k. Let s(f) = 2*f. Calculate 11*s(m) + 2*v(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3221 - -3255?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Suppose -5*u - b*m - 6 - 2 = 0, -m = 4. Let v(k) = 0 - 2*k + 0 + u. Let o(x) = -x. Calculate v(o(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*t - 245*t + 20400 = -288*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-18)*18\/10. Let w(f) = -i*f + 2*f**2 + 0*f + 8*f - f. Is w(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*s - 93*s - 323 = 553 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 10) to base 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6459558 and -42\/5.\nAnswer: 32297790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 49 = -4*g. Suppose -5*r = g - 70. Let j(u) = 5*u - 2. Calculate the least common multiple of j(2) and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -4. Let h(x) = 6*x**3 - 7*x**2 + 3*x + 5. Let a be h(t). Let g be a\/(-63) - (-2)\/9. Solve p = 6*p - g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = 2*p. Suppose -13 = -5*b - y + 5, 4*b + 3*y = 10. Suppose b*s + x = p + 8, 2*s + x = 5. Solve -5*m = -s*l - 18, -5*l + 9 - 39 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 2 - (1 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 43 - 0 - (-2)\/(-2). Let v(j) = -j**3 + 25*j**2 - 22*j - 20. Let g be v(24). Calculate the greatest common factor of x and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 9190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*p = -9*m + 2*m + 101*p - 30, 0*m - 4*p + 93 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o - 5*o + 0*o)*(2*o - 11*o - 2*o**4 + 8*o).\nAnswer: -20*o**5 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, t: 1, y: 1, x: 2, q: 4}. Give prob of picking 1 g and 1 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 0 + 43*w**3.\nAnswer: 43*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2299)*-1)**2.\nAnswer: 4598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -3*i + 274. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-105) + (-135192)\/(-403480)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.9670369 milliseconds in weeks?\nAnswer: 0.00000015867565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525829 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 72, -95, -460, -1101, -2096?\nAnswer: -3523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 15*d**2 + 4*d**2 - 5*d**2 + 7*d**2. Let a(t) = -3*t**2. What is h(a(s))?\nAnswer: 189*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, r: 6}. Give prob of sequence rrrr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 13*o - 28. Let c(i) = 3*i**2 + 26*i - 56. Let g(m) = 3*c(m) - 5*w(m). Let x be g(8). Is 12 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133000 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17152 is divided by 229?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -21. Let h be ((-44)\/(-33))\/(s\/3). Suppose 0 = -h*w + 4*w - 90. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1643\nAnswer: -821.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -78140+-44.3679\nAnswer: -78184.3679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932 = -3*p + 7*p. Suppose -215 - p = -4*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3 + 5 - 13 - 57*m**3 to the form z*m**3 + h*m + j*m**2 + x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 - y - 8. Suppose 217*k - 220*k = 5*v + 36, 4*v + 5*k = -34. Let c(o) = 11*o**2 + 2*o + 16. Calculate v*c(b) - 13*l(b).\nAnswer: -b**2 + b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79*28.9135.\nAnswer: 2284.1665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -27. Let v = 36 + r. Suppose -v*z + 2*u - 19 = 12, 3*z - 3*u + 24 = 0. Let a(g) = g**3 + 5*g**2 + 3. Calculate a(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a24 (base 12) to base 4.\nAnswer: -112330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 1390*l - 2 + 1381*l - 276*l**2 - 2771*l to q*l**3 + d*l + b*l**2 + x and give b.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 829352999 to the power of 1\/3, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 + 3 + -16 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -22*o - 44. Let h be m(-2). Which is smaller: 6\/79 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5266.83 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04631991 rounded to 4 decimal places?\nAnswer: -0.0463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4475 + 4611 + -1 + -34 - (-2 + 0)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**5\/3 - 278*p**4 - 72743*p**3 - 18396056*p**2\/3 - 150776860*p + 705946800 = 0.\nAnswer: -354, -65, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 23*s + 5. Calculate n(-22).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 - 3*w + 3. Let g be q(4). Let r(f) = f - 1. Let s be r(g). Let d = 14 + s. Solve -j - d*j - 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33543.53 decades in centuries?\nAnswer: 3354.353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3*(sqrt(300) + 3*sqrt(300)) - -3*(sqrt(300) - 5*sqrt(300) - sqrt(300))) + 1)**2.\nAnswer: -540*sqrt(3) + 218705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17171, 68657, 154451, 274547, 428939, 617621, 840587?\n\"Answer: -x**3 + 17160*x**2 + 13*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 698245?\nAnswer: 9077185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/9)\/(-8 - (-156)\/18). Put 0.1, a, -5, -3\/4 in descending order.\nAnswer: 0.1, -3\/4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 - 51*c**4 + 54*c**3 + 660*c**2 - 1896*c + 1440 = 0. What is c?\nAnswer: -4, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -4, -68, -188, -382, -668?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + v + 1. Let q(b) = 26*b**2 + 4 - 18*b**2 + 5*b - 11*b**2. Let y(j) = 4*i(j) - q(j). Determine y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 16*f + 7195. Suppose 2*i - 8*x - 16 = -4*x, 0 = -3*i - 4*x - 16. Is w(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -247, 2\/15, -0.327?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d - 402 = -2*w - 17*d, 0 = 2*w - d - 410. Suppose 0*q = 2*q - 114. Calculate the highest common divisor of q and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69213 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6.3. Sort 3, 1\/7, i in decreasing order.\nAnswer: 3, 1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1056341 and 4576.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - -6*(sqrt(162) + 0)) + 4 + 1 + sqrt(162) + (1*-2*sqrt(162) - sqrt(162)) + (sqrt(162) - (2 + sqrt(162))*1))**2.\nAnswer: 270*sqrt(2) + 4059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -154\/13?\nAnswer: -154\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 4. Let f(d) = -3*d + 8. Let i(v) = 2*f(v) - 5*n(v). What is i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 12. Let z be (2*1)\/(p\/14). Suppose z*n - 34 = 14. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 210 (b) 8 (c) -2\/51 (d) 8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -107, -47, 229, 847, 1933, 3613?\n\"Answer: 21*c**3 - 18*c**2 - 33*c - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-21)\/(-6)) - -13. What is the greatest common factor of b and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/3 + 706*g**2\/3 - 1829791*g\/3 - 1542022996\/3 = 0. Calculate g.\nAnswer: -1051, 1396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/77 and 43\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46\/6 + (1\/3)\/1. Suppose 9 = z*c - 7. Solve -4*s + c = -2*o, 5*s - 4*s - 2*o = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 34 = -3*w + 2*f, 3*w + 6 = 3*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 14. Let d be ((-40)\/6)\/(15\/(-45)). Suppose d = -9*k - 70. Determine s(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 628096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Suppose -7*y + 457 - 72 = 0. Let t be -1 - ((-4)\/22 + 175\/y). Sort 4, t, q in increasing order.\nAnswer: t, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/7*385\/1650. Let f(d) be the third derivative of -w*d**5 + 1\/6*d**4 + 0 + 8*d**2 + 0*d + 0*d**3 + 1\/30*d**6. Factor f(x).\nAnswer: 4*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-1) - (-5 - -4 - 3). Suppose 306 - 87 = 5*h + 2*t, 48 = h - t. Solve -h = 9*m - c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -2480.\nAnswer: -2479.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(224\/146) - 10. Let n = 1 + -1. What is the nearest to -0.2 in 0.5, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2104597 and -45\/4721123.\nAnswer: 174681551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14*1\/4*-2. Let a be 2 - h\/(21\/(-6)). Let j(z) = 10*z - a*z - 4*z. Let m(k) = 45*k**2. Give j(m(v)).\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 63 - 51 = 0. Suppose -3*o - h*o = -102. Suppose 0 = -5*j + o + 63. Solve -2*b - 3*n + 13 = 0, 0 = -5*b + 4*b + 3*n - j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13400903.\nAnswer: 13400903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.37 to 1 dp.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3145 - 3140. Solve -17 = b*q - 3*h, h + 2 = -3*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g + 0*g**3 + 6*g**2 + 0 - 1\/24*g**4. Determine y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + u + 14735 = 0, 22*b + u = 19*b + 8841. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -268.61 - -268.610015. Round k to 7 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.3009*-0.5\nAnswer: -3.65045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570960 and 2288?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 990, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let v = 41 + -42. Let l be v\/(-3)*(0 + 0)\/3. Which is bigger: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 21600*z + 116640000.\nAnswer: (z + 10800)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*m**6*p - 24*m**2 + 2*m*p wrt m?\nAnswer: -12000*m**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/4 (b) 2 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -52) + -8 + (0 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -52 + (3 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (308\/(-21))\/((648\/(-24))\/(-81)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0 - 2. Let n = 22 - 87\/4. Are g and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by -246.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 373.68 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.8, 2, 83\/2 in descending order.\nAnswer: 83\/2, 17.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**2 - 11*x + 2. Let q be c(7). Let j(u) = u + 3. Let w be j(q). Which is greater: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11797.551186 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2571*z**2 + 3101*z. Let d(l) = -18000*l**2 - 21700*l. Let n(g) = -2*d(g) - 15*k(g). What is the second derivative of n(p) wrt p?\nAnswer: -5130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, 24, 22, -5, 134 in decreasing order.\nAnswer: 134, 24, 22, 9, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(3\/36). Let i = 75 + -72. Suppose -i*b = -15 - 0. Sort n, b, -3 in decreasing order.\nAnswer: b, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*f**2 + 363\/2 - 33*f.\nAnswer: 3*(f - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39*(-60)\/130)\/((-28)\/42).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -28*r**2. Let f(w) = -27*w**2 - w + 1. Let i(q) = 3*f(q) - 4*v(q). Let z be (-4)\/18 - 50\/18. Is i(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 0*c + 72. What is the remainder when 22 is divided by ((-2)\/c*-6)\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2843, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 32690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + 8 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(8)*-5 - sqrt(27))\/sqrt(9) + 3.\nAnswer: -6*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 = -0*v. Let q = v - 2. Let j(n) = n**3 - 4*n**2 - 2*n - 3. Give j(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1580 - 46.3.\nAnswer: 1533.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 604393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11*u**3 - 5*u**2 - 9. Let c(z) = 6*z**3 + 2*z**2 + 4. Let w(y) = -7*c(y) - 3*v(y). What are the prime factors of w(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.4943 times -1.2?\nAnswer: 22.19316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*o + 61*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 9) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h + 3. Calculate the least common multiple of 2 and p(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638618953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66061*a**6 + 5*a**2 - 13*a + 182 wrt a?\nAnswer: -7927320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/18)*y*y\/y**(16\/7) assuming y is positive.\nAnswer: y**(-43\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3111 is divided by 620.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-168)\/(-10) - (-7)\/35. Does 26 divide (0 + 3)*j - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9146208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjmj when four letters picked without replacement from {j: 8, m: 5, o: 3}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(-2\/103)\/i)\/i)*i*i*i**(-8\/3))**(2\/29))**(-49) assuming i is positive.\nAnswer: i**(-71246\/8961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (504\/(-49))\/(-3)*91\/(-26)*1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(-2 - 1173\/(-586)). Let h = -183 + r. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.2? (a) 2\/5 (b) -0.0545 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52463 - -52468. Solve -256\/11*r**3 - 36\/11*r**4 - 2\/11*r**g - 1536\/11*r - 1024\/11 - 896\/11*r**2 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - 2)\/(-7) + -6. What is the second smallest value in 1\/49, 0.03, f?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595503 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(363) + -4 - (((sqrt(36) - (sqrt(36) - sqrt(180)\/sqrt(5))) + sqrt(36))\/sqrt(12) - sqrt(243)*-2))**2.\nAnswer: 108*sqrt(3) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 9. Let m be z(-4). Let k be 3\/1*m\/(-3). Let w(u) = 6*u + 8. Let n be w(7). Calculate the greatest common factor of n and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -122?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(72)\/(3*sqrt(8))).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -56. Let d = m - 31. Suppose 7 = x - v - 3, 2*x = 5*v + 32. Solve -2*h + 16 = x, -2*g - 3*h + 7 = d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5\/3 + 28*n**4\/3 - 14*n**3\/3 - 184*n**2\/3 + 56*n = 0. Calculate n.\nAnswer: -14, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h. Let p be ((-3)\/(-4))\/(2\/8). Let q(s) = -p*s**2 + 0*s**2 + 4*s**2. What is q(x(r))?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 17*b + 37*b = 4*x - 56, b - x + 17 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffiaiiiaafiaffiiff. Give prob of sequence aii.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let h(f) = 2*f - 1 + f**3 + 4*f + 3*f**3 - k*f**3 - 5*f**2. Let y be h(4). Let u(a) = a**2 - 6*a - 4. Calculate u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79638 is divided by 268?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688279627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5818 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 1057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 3*z + 5. Let l(k) = -3*k**3 - 7*k - 9. Determine -7*a(p) - 3*l(p).\nAnswer: -5*p**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/(-288)*(-12)\/80*-8.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 21*i**2 - 2*i - 1. Let z(b) = -b**3 + 9*b**2 - 7*b - 9. Let f be z(8). What is the tens digit of m(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-2\/3)*h)*h)\/h)**33*((((h\/h**4)\/h*h*h)\/h)\/h)\/(h*h\/(h**(-2)\/h))*((h*h**(-2\/9))**(-24\/13))**(-1\/5) assuming h is positive.\nAnswer: h**(-3844\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -20*k - 37. Suppose -363 = g - 361. What is h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + w + 5 = -2*x, x - 5*w = 25. Solve -3*f - 505 + 502 = x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - 2*k - 2. Let t be h(-2). Let l = t - 10. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6\/9*(-48)\/5*(-44215)\/148 and 4.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -47*p - u, 5*p - 72 + 80 = -8*p + 11*p - 3*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.3337 - -2.0372. Let f = -48 + 43.7. Let m = l - f. Round m to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4 (c) -8088\/7 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -627*r**2*s**3*z - 365789*r**2*s**3 - r**2 + 6*r*s**3 - 3601*s**3*z wrt z.\nAnswer: -627*r**2*s**3 - 3601*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 3*w - 625. Let g = 165 + -157. Let p be (-3)\/g*240\/(-10). Calculate the greatest common factor of w and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3411 and 2223593.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - 5 - (-357 - -327).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gugg when four letters picked without replacement from ggggggggggguggguuggu?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.6? (a) -2\/11 (b) -10 (c) -0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 14, 2, -5 in ascending order.\nAnswer: -5, -1, 2, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*j - 15 = -151*j - 4*t, 7*j = 2*t + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 3 = -46*d + 11*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.6 + -1.6. Let g = p + -4. Let u = 4.4118 + -0.4118. Put 0.5, g, u in descending order.\nAnswer: u, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1272 = -3*s. What is the units digit of (-2)\/15 + s\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-5)\/(15\/6))\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) 0 (c) 4 (d) 2\/5 (e) -5011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:05 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -22. Suppose 0 = 3*n - 1202 - 160. Suppose 0 = -4*z - 3*d + n, 5*z - 328 = 2*z + 4*d. What is the greatest common divisor of z and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -180889, -180896, -180903, -180910?\n\"Answer: -7*w - 180882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434947672.\nAnswer: 2, 1663, 32693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 997*a*k - 26866*a - 468*k - 43239 with respect to a.\nAnswer: 997*k - 26866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 323.42.\nAnswer: 330.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29548)\/89*(1\/(-2) - 0). Suppose 5*r - h = 2*j, 4*r - 2*j = -7*j + 146. Let y be 256\/3 + 1\/(-3). What is the highest common factor of y and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6751, 13496, 20245, 26998, 33755, 40516?\n\"Answer: 2*x**2 + 6739*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*z + 0 - 2 - z**3 + 2 to g + t*z**3 + f*z**2 + m*z and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -1. What is the remainder when 23 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 9651564.\nAnswer: 9651564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6*(364\/39)\/4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9283*g**4 + 1356*g**3 - 72372229*g**2 wrt g?\nAnswer: 222792*g + 8136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409169109, 818338218, 1227507327, 1636676436, 2045845545, 2455014654?\nAnswer: 2864183763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 10. Determine k(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y - 7. Is w(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46.54 + -47. Let u = 0.45 + c. Let z = -2.48 + u. Round z to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1204)\/(-6)*10\/(-72). Let m = 73\/27 + d. Find the common denominator of -89\/14 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -755 - -742. Suppose 155 = 3*l - 82. Let z = b + l. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**2 + 1629105*s + 347226210 = 0.\nAnswer: -213, 326034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8841*w - 79581. What is j(9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15945356.999175 - -15944872. Let z = 485 + l. What is z rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3484067 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*w - 580 = -71*w. Let c be -5 - (5 + w\/6). Which is smaller: c or 15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -16\/1062761 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 1. Let k = 18 - 29. Let b = k + 22. Calculate the remainder when b is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29088975197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.60493kg?\nAnswer: 2604930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 14*r - 77 + 77 + r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 32. Let b be ((-36)\/(-18))\/((24\/45)\/4). Let x be d(b). Solve -4*m + 2*w + 0 = 14, -2*m = 5*w + x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -399 - -402. Suppose c - y*m - 887 = 0, 8*c - m + 2*m = 6996. What is the highest common divisor of 35 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -370.101 - 0.2\nAnswer: -370.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 9*w = 6. Let t(n) = -n**3 - 4*n**2 + 3*n - 24. Let b be t(w). Is (5\/b - (-2)\/(-12)) + 52 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3011*r - 1177*r - 1272*r to the form d*r + p and give d.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/(-39))\/(2\/(-30)). Suppose 206 = -f*j + 506. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10. Let c = -8.8 - -8. Let r = -2.8 - c. What is the smallest value in r, x, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 9:25 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 1\/2*o**6 - 1\/6*o**4 + 0*o**2 + 0 - 3\/2*o**3 + 0*o**5 + 39*o. Find the third derivative of s(n) wrt n.\nAnswer: 360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 25214.15726.\nAnswer: 25213.65726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.034 and -69788 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (418\/(-80) - 34\/(-272)). What is the biggest value in m, -1\/4, -0.08, -0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7032 + -358643\/51. Are 0 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*u - 159 - 41. Let v(b) = -b**3 - 7*b - 140*b**2 + 72*b**2 + 1 + 59*b**2. Calculate v(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -25?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b + b)*(4 - 9*b - 4 + (-2*b + 13 - 13)*(-3 - 1 + 1))*(-b - 3*b + 3*b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**6\/60 - 37*y**5\/10 + 345*y**4\/4 - 2525*y**3\/3 + 22*y**2 - 63*y. Factor s(a).\nAnswer: 2*(a - 101)*(a - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - -1 - 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -42, -39, -30, -15, 6, 33?\n\"Answer: 3*i**2 - 12*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5413 and 5?\nAnswer: 27065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 8*u. Suppose 2*l - 3 = 3*j, -4*j = -u*l - 5*l - 10. Calculate the remainder when 4\/l - 47\/(-3) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 45. Suppose 4*j + 1 = s. Let u be j + (-2)\/1 + 72. What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*i - 1386 + 689 + 697.\nAnswer: 324*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1007, 1009, 1011, 1013?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*o + 4, -10*n = 3*o - 6*n - 3. Suppose -s - v - 2 = 0, 3*s - 6*v + 2*v - o = 0. Let f = 4.6 + -4. Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 105 in 0, -0.01, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**3\/c*c**1*(c**(-6)\/c)\/(c*c**(-2))*c**(-1\/2)\/c**(2\/9)*c**1*c\/((c*c*c*c\/c**1)\/c*c)*c assuming c is positive.\nAnswer: c**(-49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9541, 9461, 9367, 9253, 9113, 8941, 8731, 8477?\nAnswer: 8173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5801 is divided by 74?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 32.3?\nAnswer: -32.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 105985488*k**3 + 42725422 wrt k.\nAnswer: 317956464*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxx when three letters picked without replacement from {y: 1, t: 1, o: 1, c: 2, g: 3, x: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + h + 2*h + 243 = 0, 2*x - h - 245 = 0. Suppose -5*b + 12 + x = 0. Let r(i) = -i**2 + 14. Calculate the remainder when b is divided by r(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.7 + 28. Let v = 0.044 + -5.044. Which is the fourth smallest value? (a) k (b) -0.1 (c) v (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*h**4 - 62*h**2 - 521*h + 20?\nAnswer: -240*h**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0724 - 5?\nAnswer: -5.0724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -519066, -1, -3 in ascending order.\nAnswer: -519066, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*-2*sqrt(95)*4)\/(-4*sqrt(125) - (-3*sqrt(35))\/sqrt(7)).\nAnswer: 160*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.365 + 0.865. Let x = -85 - -127. Let h be 52\/(-351)*x\/4. What is the nearest to -2\/7 in 0.5, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*2 + -3*(sqrt(68) + sqrt(68) + 0))**2 - (0 + (sqrt(153)\/sqrt(3)*-6)\/(sqrt(75)*1)).\nAnswer: 6*sqrt(17)\/5 + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbhhtkbv. Give prob of picking 1 k, 2 b, and 1 v.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1927 - 420. Let x = u - 1069. Let t = 2339 + x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, -2, 4 in decreasing order.\nAnswer: 4, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2. Let p(h) = -16*h**2 + 35*h**2 - 11*h**2 - 6*h**2. Give d(p(z)).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from otoh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -81*v - 259. What is the hundreds digit of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0197, 495, 2 in ascending order.\nAnswer: 0.0197, 2, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**5 + 3*q**5 + q**5 + 18*q**5 - 8*q**5 + q**5 + (-2*q**2 - 3*q**2 + 4*q**2)*(2*q**3 - 7*q**3 + 3*q**3) - 3*q**5 + q**2 - 2*q**2 - q**5.\nAnswer: 7*q**5 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) -1\/2 (c) 1 (d) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -12, -10?\n\"Answer: 2*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1866 at least as big as 5374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 59\/12*r**4 - 5*r + 113*r**2 - 1\/20*r**5 + 0*r**3 + 2. What is the first derivative of a(u) wrt u?\nAnswer: -3*u**2 + 118*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**3 - 5*x**3 + 4*x**3)*(-5 - 1 + 4)*(-1 - 1 + 0) as p*x + r + b*x**2 + v*x**3 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*y - 2 + 2.\nAnswer: 116*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f + 4*k = 28*f + 246, -2*k = -f + 151. Calculate the highest common divisor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 - 278 = -76*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -729 + 731. Let g = 174 - 352. Which is the closest to -0.1? (a) l (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -22.4. Let x = k - 2. Let z = 126 + -127. Which is the nearest to 2\/9? (a) 3 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1124 and 356?\nAnswer: 100036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:05 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y\/(y*(y**(-5)\/y)\/y)*y)\/y)\/y*y)**(-19)*((y*y*y**2)\/y)**(-35))**(-18) assuming y is positive.\nAnswer: y**4626","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -47. Suppose -w - 5*t - 10 = 0, 2*w + 0*w - 8 = -3*t. Let m = w - 5. Solve 10 = -m*d - z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2888*d**2 - 2701*d**2 + 4 + 5596*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -173094, 381 in ascending order.\nAnswer: -173094, -5, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1389145 nanograms to tonnes.\nAnswer: 0.0000000000000001389145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2328954 and 133\/48.\nAnswer: 18631632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 13 = m, -3*w + 0*m = -m + 33. Suppose 5*z + 8 = 98. Calculate the remainder when w\/(-10)*2\/1 - -31 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3861 = 26*v + 7*v. What is the derivative of 6 - 42 - 32 + v*r**3 + 17 - 35 wrt r?\nAnswer: 351*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*(-16)\/476*35\/(-18).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j + 5*z - 63457 = 42*j, -5*j - z = -158562. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 157*m**2 + 190*m - 5338. Give g(156).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 981*v + 4880.\nAnswer: (v - 976)*(v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 72\/198 - 6408\/(-44). Which is smaller: j or 737\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:50 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(168\/(-98) + (-21441)\/(-6762) + (-3)\/2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6\/7)*g**(-5\/8))\/((g\/(g*g**(6\/17)))\/(g*g\/((g*g**(-3))\/g))))**(2\/41) assuming g is positive.\nAnswer: g**(3685\/19516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-6) - (-595)\/30. Suppose 15 + q = -5*l. Let x = l + 9. Solve -5*s + x = -18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j, y = -4*y + 3*j + 5. Suppose -19 = -y*s + 13. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/30)\/(6\/105). Suppose 11*q + 282 = w*q. Let i = 98 - q. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 a, and 1 v when four letters picked without replacement from {v: 4, a: 5, k: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxgxxoxxx. Give prob of picking 1 o and 1 x.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 2*g**2 - 2*g - 2. Let o be w(0). Let v be o\/(-6)*-3 + 26\/6. Suppose 4\/3 + 8\/3*n**2 + 2\/3*n**3 + v*n = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11940 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:46 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204556319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/(26\/(-39)). Factor 3*l**2 + 10*l**o + 4*l**4 + 23*l - 15*l + 16*l**3 + 7*l**2.\nAnswer: 4*l*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/7))**(3\/10)*(j*j*j*j\/(j\/(j*j**(-2\/27))))\/j**11 assuming j is positive.\nAnswer: j**(-2593\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l + 4. Let w(o) = -7*o - 3. Let z(j) = 4*f(j) + 3*w(j). Let s(q) = q + 4. Let m(y) = -5*s(y) + 2*z(y). Let x be m(11). Solve 0*g = -x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 9*g - 10. Let q be 1*-2 + -6 + 21. Suppose 4*w = q + 15. List the prime factors of k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, 20 in ascending order.\nAnswer: -3, 20, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 17*z + 97. Let a be n(-21). What is the highest common factor of 78 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8290.3 - 8289. What is the fourth biggest value in 0, 0.03, 1\/7, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2161011 is divided by 452?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -226 - -239. Suppose -4*m - 43 = 5*l, 0 = 5*m - 10*l + y*l + 44. Put m, -1, -4, 0 in decreasing order.\nAnswer: 0, -1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 45*f + 32*f - 703 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113711173\/5 at most as big as 22742236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 11*p**6\/120 + 7*p**5\/30 - 4*p**2. Find the third derivative of x(r) wrt r.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4)*(-6)\/5. Find the third derivative of 33 - q*c**2 - 33 + 6*c**3 wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(25) + (2*sqrt(100) + sqrt(100))\/sqrt(4))\/(4*(sqrt(350)\/sqrt(112))\/sqrt(10))*1.\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 3*s + 49, -26418*w - 237 = -26416*w - 19*s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 26*r + 2438. What is x(-105)?\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 662 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x + 5*r = 1, 2*x + 3*r = 12. Let o be -3 + 6 - x - 2. Does 13 divide (o + 17)\/(9\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 146a8 - 916?\nAnswer: 13892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8 + (-10760 - 17))\/(0 + -1)?\nAnswer: 3, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k + 4. Let j(h) = h**2 + 18*h + 11. Let v(p) = -7*i(p) + 2*j(p). Let r = 79 - 69. What is the least common multiple of v(5) and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 + 5*n - 4*n**3 + n**3 in the form x + j*n + t*n**2 + c*n**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p**2 - 7*p + 5. Let a(y) = -y**2 + 5*y. Let g be a(4). Is f(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*k, -60 = -t - 0*k - k. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244)\/(-1776) - 1\/8 - (-24)\/(-444)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (-13 - -8) - (-164 - -287)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6205*r. Let n(l) = -74*l - 231. Let v(b) = -9*b - 28. Let w(a) = -8*n(a) + 66*v(a). Calculate o(w(p)).\nAnswer: -12410*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -43*j**3\/3 - 39. Let d(w) = 8*w**2. Determine d(i(z)).\nAnswer: 14792*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-5 + 1) + 105\/49. Let n(s) = s**2 + 4*s + 4. Let z be n(-4). Sort 0.5, z, 2, q in descending order.\nAnswer: z, 2, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2449 or 123760?\nAnswer: -2449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) + (-17)\/36. Let r = 33 + -97\/3. Let f = r + -4\/3. Sort n, f, -6.\nAnswer: -6, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d + 5*b = -93, 2*d = 5*b + 67. Suppose -11*o - d = -10*o. Let a = o + 26. Solve 2*z + 6 + 0 = a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + z = 2*z - 68, 4*t - 2*z - 68 = 0. Suppose -3*b + 470 = 5*r + 135, 2*r + b = 134. Suppose -2*j + t = -r. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 4. Let m = -25.2 - x. Let l = m - -0.1. Sort -3, 4, l.\nAnswer: -3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1795 = 3*t - 5730, -2*a = -4*t + 10050. Is 45 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149696146?\nAnswer: 2, 1901, 39373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39303750 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -0.208, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/12 and 115\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*c + 6*c**5 - 7*c + 31*c**5 + 3*c wrt c?\nAnswer: 740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5 + 10. Let c be 1\/((-4)\/(-3))*-2. Put c, r, 2 in increasing order.\nAnswer: r, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -578311, -1156614, -1734931, -2313268, -2891631?\n\"Answer: -d**3 - d**2 - 578293*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 47. Calculate t(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 122, 182, 242, 302?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 8) in base 6?\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + 6*(sqrt(972) + sqrt(27) - sqrt(27)))\/(sqrt(9) + sqrt(324)))**2.\nAnswer: 4107\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87230 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 732341 by -7.\nAnswer: -732341\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 94*u**3. Let o(i) = 33*i**3 + i**2. Let n(k) = -5*d(k) + 16*o(k). Let h(f) = 19*f**3 + 5*f**2. What is 16*h(w) - 5*n(w)?\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((5 - 1) + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.93? (a) -2 (b) 122 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/286200 and -191\/79500?\nAnswer: 1431000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196\/27 + 2227\/54. Let m = -5340802\/9 + 592271. Let p = -1158 - m. Find the common denominator of o and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -297342.\nAnswer: 118936.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/1*-3. Let c(w) = 21*w - 3 - 38*w + 24*w. Let k be c(1). Solve k*v = -5*p + 9, 3*v - 3*p = -b*p + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 20\/4*1. Suppose j*k = -5*t + 25, -4*t - 7 + 27 = 4*k. Let a be k\/1 - (-16 - -3). Solve -5*u - 12 - a = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:35 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upumpuphudpdukmp. What is prob of sequence upd?\nAnswer: 5\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w - 2*w)*(-2 + 2 + w) + 2*w - 2*w - w**2 - 4 - 11*w**2 + 4.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*q = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 5*l**4\/4 + 130*l**3\/3 + 845*l**2\/2 - 64. Solve i(j) = 0 for j.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + (-3 - 1) + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26434*p - 27276*p + 47994 for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/o)**(-1\/42)\/((o\/(o*o**(6\/7)))\/o**(1\/11))*((o*o**(-2\/5))\/o**(7\/2))\/(o**(-6)\/(o*o\/(o*o\/(o*o**(-2)*o*o))*o)) assuming o is positive.\nAnswer: o**(7013\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18485 divided by 5?\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 5, -7663, 18, 3, 0, 4.\nAnswer: -7663, 0, 3, 4, 5, 18, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 585573 divided by 1?\nAnswer: 585573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.7, 0.17, 3?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2 - 3*h - 5. Let x(u) = 4*u**2 + u + 2. Let g(c) = -5*x(c) - 2*z(c). Let s(w) = -7*w**2 + w. Calculate 5*g(j) - 4*s(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62172 and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.003 + 3.023. Which is the closest to 92? (a) 2 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 352 = 4*h, u + u - 5*h - 151 = 0. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2648454 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - f = 11, 0 = -2*q - 5*f - 13 - 18. Let m(p) = p**3 + 3*p**2 - 3*p - 4. Give m(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 8*w**2 + 6*w + 2. Suppose 0 = -5*l + l + 24. Let d be s(l). Is 1 + -3 - (1 + d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 7*g**5\/60 + 4*g**2. Let b(a) be the second derivative of a**4\/12 - a. Calculate o(b(i)).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 10*m**2 + 97*m + 960. Give z(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/4*(-68264)\/(-46322).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m**3 + 7*m**2 + 8. Let s(k) = 20*k**3 + 13*k**2 + 17. Let f(v) = -11*i(v) + 6*s(v). Let b(g) = -g**3 + g**2 + 15. What is 4*b(r) - 5*f(r)?\nAnswer: r**3 - r**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 4 + 11 - 7.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-195*l**2 + 195*l**2 - 20*l**3)*(-2 + 1 + 0) in the form i*l**3 + g*l + b*l**2 + q and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001978859 to six decimal places.\nAnswer: -0.001979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 56, 4 in decreasing order.\nAnswer: 56, 4, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9313435 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4429838 divided by 173.\nAnswer: -25606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(2736) + -3) - ((0 + sqrt(1216) - sqrt(1216)) + -5))**2.\nAnswer: -1008*sqrt(19) + 24815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -215\/14, 2\/7, -2 in ascending order.\nAnswer: -215\/14, -2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x = 33983245 - 1167583. Is (1 - 4)*x\/(-198) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -498466.\nAnswer: -39877.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4736539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*p**3 + 132*p**3 + 132*p**3 + 138*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/9, -1\/4, -2, -0.2028, 18?\nAnswer: -0.2028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -3.51, 0.3 in decreasing order.\nAnswer: 0.3, -0.6, -3.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131771, 131697, 131625, 131555, 131487, 131421, 131357?\nAnswer: 131295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71079*u + 6*u**3 + 71079*u.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 127?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0\/k*k**(2\/23)\/k)\/(k**(-8)\/(k**(5\/3)*k)))**(3\/5) assuming k is positive.\nAnswer: k**(604\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*o = 2, -1125*o - 17 = 5*j - 1123*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 25 + -25 + -48.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21405 - 21401. What is the biggest value in p, -0.13, 8\/3, -0.3, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1158, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/16 + (-1050)\/(-240). What is r in -160*r**2 - 14 + 167*r**2 + 5*r**4 + 51*r + 2*r**y - 51*r**3 = 0?\nAnswer: -1, 2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-352)\/184*16422\/(-476)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.1 (c) -2 (d) 2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 3*f**2 + 11*f. Let s be x(5). Suppose 4*z = -s*v + 60, 5*v - z - 60 = -0*z. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 + -136. Sort r, 31, 1 in ascending order.\nAnswer: 1, r, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251965005*-0.5.\nAnswer: 125982502.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 64139.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 14 = -102. What is the greatest common factor of u and 1247?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23598584 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -3) + -7 - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/4 + 2*o**3 + 5*o + 37. Determine d(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 129*c + 22712. What is t(-187)?\nAnswer: -1411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrqprrqtrrtprrqr. Give prob of sequence qpt.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 3843596*n + 3843592.\nAnswer: 4*(n - 960898)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6309 to 2 dps.\nAnswer: -4.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:48 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 4*r - r + 3 + r. Let y be p(0). Suppose -y*w = o - 31, 0*o + 5*o = 20. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 4*f - 3859 = 0. Let j = -160 - f. Is 67 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 2)*(-3)\/6. Let s be (-2)\/(-10) - 18\/(-10). Solve 3*x = -5*r + 2, 3*r + s*x - 2 = -m*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*d + d - 41, -4*x - d = -67. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**9)\/r**(5\/3)*(r\/r**39)\/r*r*r*r\/r**(-3\/7) assuming r is positive.\nAnswer: r**(-950\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21534 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/t*t*t*t**(12\/11))**(-38)\/(((((((t**(-2\/11)*t)\/t)\/t*t)\/t)\/t)\/(t\/(t\/(t*t**7\/t))))\/((t\/(t*t**(-2\/3)))\/t)**(-2\/3)) assuming t is positive.\nAnswer: t**(23161\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 2*y + 7, -s - 140*y + 139*y + 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) + -1)*-2 + (sqrt(833)*1 - sqrt(833)) + 5 + (1*sqrt(272) - sqrt(17))*-4)**2.\nAnswer: -182*sqrt(17) + 2922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-11)\/(-33)*(-33)\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 52 = -20*d + 1. Solve 4*f + 2*u = -16, -d*u - u + 20 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32 from -21255579.\nAnswer: -21255547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18442 (base 10) to base 2\nAnswer: -100100000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11820)\/(-1576)*(-44)\/30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-u**4 + 0*u**4 - u**4) + 0*u**3 + 0*u**3 - 2*u**4 - 2*u**2 + 4*u**4 + 2*u**2 - u**2 - u + u**4 - 2*u**4 + 2*u**4.\nAnswer: 7*u**4 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 6. Let l(a) = -13*a - 6. Let p(r) = -7*r - 3. Let j(w) = h*l(w) + 9*p(w). List the prime factors of j(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 0 + 11*j**2 + 12*j - 1\/6*j**3. Let b be a(19). Solve -b*l = -l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -666. Suppose -4*n = -0*n - g. Suppose -n = -5*b - 3*v, 3*b + 0*v - 91 = -4*v. What is the remainder when b is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 9*k + 8. Let h be f(4). Let t = 0 + 2. What is the greatest common divisor of t and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12612016 * -3.\nAnswer: -37836048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331461 is divided by 331435?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1106, 74252.\nAnswer: -1106, 0, 3, 74252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24616484.\nAnswer: 2, 1913, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 3. Let k be y(4). Suppose -j + 1752 = k*j. Suppose j = -4*v + 839. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -6*f + f - n, 0 = 4*n - 12. Let u = 52 + f. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7) + 10 + (-5 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -1 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11492940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lalaalljlalallj. What is prob of sequence aj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 19964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 0*w + 0*w)*(2 + 1 + 13)*(40*w + 53*w - 52*w) to the form l*w + h + n*w**2 and give n.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*i - 27, 1070*z - 19 = 1067*z + i for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -20. Solve 0 = -5*q - 3*x + 35, -5*q + 6*x = v*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**4 + d**2 - d - 1. Let l(n) = -4*n**5 + 4*n**3 + 8*n**2 - 4*n - 4. Let q(i) = -4*b(i) + l(i). Factor q(o).\nAnswer: -4*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 w when four letters picked without replacement from {w: 3, p: 6, e: 2, q: 7, z: 1}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 1. Let u(y) = 5*y - 2. Let t be u(1). Suppose -13 = -5*c - t, s = -c + 1. Let l be 1 + (-5 - -3 - s). Calculate b(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514.0494 millilitres to litres.\nAnswer: 0.5140494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-72) + (-110)\/(-9). Solve 0 = 4*f - g - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.49 + 3.49. What is the smallest value in 0, o, 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 593580 and 2408565?\nAnswer: 125245380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 898*l**3 + 2*l**2 - 2*l + 1. Let g be n(1). Suppose -4*a = 4*o - 896, -4*a - 5*o + 0*o = -g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -37*f**2\/2 + 38*f + 30. List the prime factors of w(-9).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8173759993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2403 = 3*p + 726, -2*p = 3*j - 1107. Calculate the remainder when p is divided by -6 + (-9 - (3\/(6\/14) - 39)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.034 - 0.326. Let y = 4.36 + u. What is the closest to -2 in -1\/2, y, -4\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -1, 0.5, -26, -4\/7, -18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -7*r**5\/60 + r**4\/8 - r**2 + 4. Let k(c) be the second derivative of a(c). Find the second derivative of k(d) wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) -37\/3 (c) 9 (d) -0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 20*c - 18*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126822701.\nAnswer: 19, 1277, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -41.8569 times 0.1\nAnswer: -4.18569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -2\/45*z**5 + 1\/9*z**4 - 3 + 2\/9*z - 2\/9*z**2 + 0*z**3. Factor h(b).\nAnswer: -2*(b - 1)**3*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101125 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - 100?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15\/2 (b) -54 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 100?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5777 = -159*v + 2856 - 1478 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -139, -292, -507, -790, -1147, -1584, -2107?\nAnswer: -2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, -7, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 - 5)*(-1 - x + 1) - x + 0*x + 3*x + (-4 + 0 + 2)*(5*x + x - 2*x) + x - 2*x + 3*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -1. Let r(j) = -8 - j**2 - 2*j + 18*j - 6*j. Determine r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.86706 * 0.2\nAnswer: -0.373412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 2*b - 32 = -14. Solve 20 = 2*y + b*d, 3*d = -2*y - 0*d + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 8904584*k.\nAnswer: 4*k*(k - 2226146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 1, r: 1, p: 10}. Give prob of picking 1 p, 1 r, and 1 x.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01938 * -798.9.\nAnswer: -15.482682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5709040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, -638, -22, 31, 4 in increasing order.\nAnswer: -638, -22, -12, -3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, a: 1, r: 2, j: 2, b: 1, n: 7}. Give prob of picking 1 n and 1 r.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.06 + 0.06. Let d = -114 + 568\/5. Is d <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7 - 77. Let b be 7 - (2\/(-2) - 20). What is the highest common factor of o and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 1. Let z = 42 - 18. Let u be z\/(-20)*5\/2. Calculate n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 4*o - 1, 4*g - 5*o = 0. Suppose 21 = 8*i + g. Solve -3*r = -i*t + 4*t - 10, -18 = -4*r + 2*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5374 - -7531. List the prime factors of s.\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**4\/2 + 2*x - 4. Let g(y) be the first derivative of p(y). Let k(a) = 2*a**2 - 2 + 2. Calculate k(g(v)).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**5 - 6*w**5 + 3*w**5 - w**2 + w**2 - 2*w**5 + (-2*w**4 - 2*w**4 + 3*w**4)*(w - 2*w + 0*w) - 3*w**4 + 3*w**4 + 2*w**5 - 3*w**5 + 5*w**5 + 0*w**5.\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 4*z - 4*z)*(-3 + 2 + 5)*(-7*z + 4*z + 9*z).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5943.2162 and -0.1?\nAnswer: 594.32162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*n - 5*r - 27, -3*n + 5*r + 29 = 0. Does 19 divide n\/3*114\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 53 = 4*b, -50*w + 39 = 2*b - 55*w. Solve 16*x = b*x - 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3321, -13610, -30757, -54762, -85625, -123346, -167925?\nAnswer: -219362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 79, 6\/5, 2, 1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + -22. Let x be (3\/9)\/((-2)\/i). Solve -3*l = x*v - 7*l + 2, 4*v + 6 = l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -25*x. Let n(d) = -20*d**2 + 70*d + 39. Determine v(n(i)).\nAnswer: 500*i**2 - 1750*i - 975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 657220517161+-26\nAnswer: 657220517135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 19 + 15 + 2*u**2)*(-1 + 3 - 3).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u\/((((u\/(u*u**(-3)))\/u)\/u)\/u)))\/(u**(-3\/8)\/u)*u*u**(-1\/4)*u*u*u\/(u**(-3\/2)\/u))**45 assuming u is positive.\nAnswer: u**(3465\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6357 - -43?\nAnswer: -6314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6 - 2 + 7*h + 8.\nAnswer: 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1882*x - 2652 = -1984*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (2 + 0 + 23). Let l be -2*(3\/h + 0). Which is the second biggest value? (a) -2\/3 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 17*d**2 + 7*d + 32. Determine m(17).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 + 3 + -4)\/(3\/(-6)). What is the remainder when 335 is divided by (-40)\/3*(-2 - 16\/r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*1 - sqrt(756))\/(2*(sqrt(3)*1 - sqrt(3) - sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 1286. Let c(h) = 2295*h**2. What is z(c(q))?\nAnswer: -2295*q**2 + 1286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 3959 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9043, 9057, 9095, 9169, 9291, 9473, 9727?\n\"Answer: 2*i**3 + 9041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 1921 + 1941 = 3*k, 5 = -o - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 750907357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 8. Let n be x(-9). Suppose 0 = -2*y - 0*y + n. What is the remainder when 26 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 2*c + 5*t + 40, 2*c = -4*t + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/(-1*(-14)\/(-21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1540745276?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8012, -16375, -25088, -34151?\n\"Answer: -175*m**2 - 7838*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 666981.\nAnswer: -20009.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -900 divided by -4?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**3\/6 + 4*n**2 - 11*n. Let q = 1 - 1. What is k(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71653 + -1703?\nAnswer: 68850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 38*d**2 + 11*d. Let u(z) = -z**3 - 19*z**2 - 6*z. Let m(h) = -6*j(h) - 11*u(h). Find the third derivative of m(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167 - 903517*c + 425*c**2 + 903517*c wrt c.\nAnswer: 850*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63786608, 63786606, 63786604, 63786602, 63786600, 63786598?\nAnswer: 63786596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*r + 2*r - 12 = 0, 12 = -m - 2*r. Let v be ((-6)\/m)\/(5\/10). Let z = v + 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1. Suppose 0*n + 8 = -2*n, -2*n + 24 = -4*j. Let w(b) = 4*b**2 - 8. Let f(p) = j*o(p) - w(p). Let a(y) = -2*y**2. Give f(a(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 - 7*c + 7. Suppose -h = -4*g + 24, 4*g + h = 3*h + 28. Let b be y(g). What are the prime factors of b\/9 - (-16)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -2 + 1 + 8. Suppose h*v - 9*v = 4583. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8585 + 9736. Suppose 0 = -6*m + i + 15657. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + -0.5. Let k = 0.19999997 - c. What is k rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*l + 10, 0 = -5894*l + 5897*l - 4*f + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) -193.7 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194841 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 2. Suppose -m*p - 10 = -12. Suppose 4*z + 2*x = 18, -x = 4*z - p - 12. Solve -z*q + 15 = 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -696301000 to the nearest one million.\nAnswer: -696000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:50 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53156 and 26564711?\nAnswer: 106258844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/3 - 31*z**4\/3 + 437*z**3\/3 + 5649*z**2 - 14112*z - 790272 = 0. Calculate z.\nAnswer: -21, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 49346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000033128054 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**3\/5 + 16. Factor k(h).\nAnswer: 3*h**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Suppose 3*t - 1 + 2 = 2*h, 3*h + p*t = 9. Find the second derivative of h*r**5 - 8*r**5 - 5*r - 3*r wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/14)\/(123146\/1876 - 67)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(200) - 3*sqrt(200))\/sqrt(5) + -3*sqrt(1000))\/(2*sqrt(16)\/sqrt(2) + (sqrt(88)*3)\/sqrt(11)).\nAnswer: -17*sqrt(5)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 times -31?\nAnswer: 12.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*m**4 + 101*m - 99*m - 2953 + 823*m**3 - 823*m**3 - 208*m**4 wrt m.\nAnswer: -1096*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13, 26, -1\/136, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 12. Let r be 2 + i\/((-4)\/3). What is the common denominator of -1 - (1\/4 - r) and 3\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*m - 5*s - 11, 0 = -s - 3. Let c(z) = -3*z - 5*z + z + m*z. Let l(v) = 2*v. What is c(l(f))?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 15 = -6*q, 4*w - 4*q - 4 = 0. Let b be w\/4 - 76\/(-8). Suppose -b*g + 264 = -5*g. What is the remainder when g is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1539, 1536, 1531, 1524, 1515, 1504, 1491?\n\"Answer: -a**2 + 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) 3 (b) -894.9 (c) 2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (-8)\/((-80)\/39) and -21\/19?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*b**2 - 56*b**2 + 34*b**2 + (-4 + 2*b + 4)*(-3*b + 0*b + 2*b) + 6*b**2 - 3*b**2 - b**2)*(0*b**3 + 0*b**3 + 2*b**3).\nAnswer: 42*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 5*d**2 - d - 1. What are the prime factors of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 - -c47a86?\nAnswer: c47ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -95, -659, -1601, -2921, -4619, -6695?\n\"Answer: -189*a**2 + 3*a + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - 22*t + 31. Let m(k) = 3*k**2 + 21*k - 31. Let o(x) = 4*l(x) + 5*m(x). Let b be o(14). Calculate the greatest common factor of b and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9337.8 - 9338. What is the smallest value in p, -183, 1.4, -5?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19 - (4\/(-1) - (5 + -6)). Let a be 6 - (-476)\/(-77) - (-136)\/g. Solve a*i - 25 = 2*x + i, 3*x = 4*i - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/587, -11.8, -6, -1\/5?\nAnswer: 2\/587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 784, -553?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171\/574 - -1\/82. Suppose -b - 2*b = 0. Let f = b - -1. What is the closest to 1 in x, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1149820*m**2 + 574907*m**2 + 574920*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 9:43 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 31 = 9*l + 58 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 13*h**2 - 11*h - 40. Let u be v(14). Solve -21 = -4*c + 3*t, 3*c - c = u*t + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1336, -753, 5 in decreasing order.\nAnswer: 1336, 5, -8, -753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2 - (-6)\/(-12). Suppose -2*p - 6 = -5*j, -p - 2 = -j + q. Let d be p - (-1 - (-33)\/(-3)). Solve -4*b - 20 = -d*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4321)\/2204 - -2)*24\/(-27)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 219\/10 - (-133)\/1330. Let i be (17 - -5)*(0 + 1). Calculate the greatest common factor of a and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -4da?\nAnswer: -4e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (207 + -229 + -2 + 8 - -27) + (-1 - -53).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166270564 to the power of 1\/2, to the nearest integer?\nAnswer: 12895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 395*h. Let v(u) = 2*u**2. Calculate f(v(i)).\nAnswer: 790*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.5. Let b = 3 + -3. What is the nearest to -0.1 in b, 0.1, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -9. What are the prime factors of (3 - (-50)\/p)*-2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-56) - 1329\/9303.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.18 - 15.82. Let q = 18.22 + z. Round q to one decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 79530.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 4*g + 24. Let h be -1 - ((-2 - 0) + g). Let r = 5 + h. Solve 0 = 3*y - 5*y + 2*j + 4, -5*j - 5 = r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13*b + 23. Let q be d(-2). Put q, -11, 4 in descending order.\nAnswer: 4, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(2*x + x - 5*x + 0*x + x + 0*x + (2*x + 0 + 0)*(-1 + 2 - 2) + 3*x + 2*x - 3*x)*(5*x**2 - 4*x**2 + 3*x**2).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 11*u**2 + 11*u + 12. Let l be n(-10). Suppose 4 = -3*r - l*c, 3*r - 8 = 4*c + 18. Suppose 175 = r*s + 51. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 + 7*w**3\/3 + 7*w**2\/2 + 11*w - 7. Let n be i(-6). Solve -4*x - 26 = -5*m - 3, 2*x + 3*m = n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 x when three letters picked without replacement from {x: 3, i: 9, w: 4}.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 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: Differentiate 4088*y**2 - 7654.\nAnswer: 8176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40126*c**2*f**3 + 10706*c**2*f**2 wrt f.\nAnswer: 240756*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*c - 22 = 0, -4*c + 4 = 2*o - 2*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -597.2359074 rounded to the nearest integer?\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 5) to base 7\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 19*p - 4. Let w(t) = -817*t + 171. Give -171*v(l) - 4*w(l).\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 16*j**5\/15 + j**4\/24 - 225*j**3\/2 - 327*j**2 - 1. Differentiate g(o) wrt o.\nAnswer: 128*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-2)\/5 - (-418)\/220. Let z = -0.6 + 0.1. Which is the closest to -1? (a) 2 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-77))\/((-112)\/(-616)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(2\/(12\/9)). What is the highest common divisor of m and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2036682, 4073333, 6109986, 8146641?\nAnswer: 10183298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184960367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y + 1. Let b(z) = 5*z. What is -5*b(f) + 3*j(f)?\nAnswer: 5*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622 = 2*h + 2*h - 2*u, 3*u = 9. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-15)\/80*(-18)\/351\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -13*z - 88. Determine i(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 325318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:43 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -464 - -469. Let g = 17 - -19. Suppose 121 - g = 5*m. Calculate the remainder when m is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from cdaa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139992 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24968193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 - 29*d + 20. Calculate the remainder when 209 is divided by v(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 10) to base 14\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3543 divided by 46\nAnswer: 3543\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/3 (b) 1 (c) 0.12 (d) 4049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 6*s - 14. Determine w(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6185341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -14*z - 1\/12*z**4 - 1\/6*z**3 + 5\/2*z**2 + 0. Let o(d) = -4*d**2 - 4*d + 16. What is 3*o(c) - 10*r(c)?\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(4 + 1 + 1029\/(-203)). Is 11 a factor of ((-27)\/(-6))\/((-6)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.7 - -5.632. Let l = t + -61.932. Let w = -62.1 - l. Which is the third biggest value? (a) -1\/2 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**2 + 2*m + 4. Let i be v(-4). Let z be 3 - i\/(-16) - -4. Which is the nearest to 1? (a) 2\/3 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -7030.5?\nAnswer: 140.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 12*i - 516. What is y(18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 5:38 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 6\/11, -32, 0.4, -2, 7\/3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*k + 403 = 0, -6*d + 3*d - 1122*k = -2*d - 1107*k - 65 for d.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + ((-469824)\/(-40))\/2. Suppose o = 44*f - 37*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.9 and 171?\nAnswer: 2718.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 3*i + 0*i + (-4*i + 3*i - 3*i)*(3 + 0 - 1))*(180 + 65 - 11 - 75) to the form t + a*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 135 - 116 = 3*v, 3*x = -2*v - 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2214412 - -150?\nAnswer: 2215002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 4, 0 = 3*p - 3*o - 8 - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 0*n + 0*n)*(5*n - 5*n + 2*n) + (-n**2 + 2*n**2 + 0*n**2)*(2*n - n - 2*n) + n + 43*n - 1206*n**3 + 1219*n**3.\nAnswer: 14*n**3 + 44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 0*i - i)*(-i + 0*i + 0*i)*(-2 - 1 - 2) to the form f + g*i + q*i**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-958)\/(-240) - ((-240)\/25 - -10)\/2 and -47\/738.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 15. Let j = -54 - -58. Let h be w(j). What is the closest to 1 in 0, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2295*t - 879*t - 1696*t + 0.\nAnswer: -4870*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -0.4, 1\/4, 1, -0.5 in decreasing order.\nAnswer: 21, 1, 1\/4, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -11*o**4\/24 + 19192*o**2. Let q(w) = 4*w. Let p(g) = g**2 + g. Let k(b) = -4*p(b) + q(b). What is h(k(d))?\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = 15. Let t = -0.66 + 0.06. Let h = t + 0.4. Put 2\/5, h, o in decreasing order.\nAnswer: o, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10621075*m**3 - 3*m**2 - 131*m - 470?\nAnswer: -63726450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29527.204 minus 0?\nAnswer: 29527.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(132)*2)\/(sqrt(24)\/sqrt(2)*-6).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*i + 32*i + 36162. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 7, g: 1, i: 1, c: 3}. What is prob of sequence mi?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8353 times 10202\nAnswer: 85217306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 16\/(2 - 6) - (-12 - -5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 22 = 4*o. Let d = -10 + o. Solve c + 3*g - 14 = 0, -d = 2*g - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 2041666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -45\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1258049 and -56\/16211.\nAnswer: 54096107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ddb (base 16) to base 4\nAnswer: 313123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.049, 0.929, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 0*k + 2 - 1. Let s(c) = 6*c - 2. Let d(q) = -2320*q - 13919. Let h be d(-6). What is h*s(a) + 2*r(a)?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 less than 924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 5\/4, 28, -946, 0.5, 0.078?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Let y(n) = n**2 - 2*n + 5. Calculate the remainder when 24 is divided by y(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 95*c**3 + 9*c**2 - 270*c + 25. Is u(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006421 to 6 decimal places.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**36*n))**(-1\/8)\/(n**34*n*n\/(n*n**(1\/24))*n*n) assuming n is positive.\nAnswer: n**(-779\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/7 in 0.5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.5 and -154.\nAnswer: -171.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 + 36*w**2 + 76*w - 116. What is the remainder when 1622 is divided by x(-8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*w**5 + 20*w**2?\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17908\/189 + -670\/7. What is the common denominator of 64\/63 and p?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128400 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5625 and 500?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69492.94 weeks to milliseconds.\nAnswer: 42029330112000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (236\/885)\/((-2)\/(-10))*6*58\/8?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2\/11 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1365 and 1680?\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i + 2*i - 11*i + 35 + 33. Let r(x) = 6*x - 68. Let a(m) = 6*g(m) + 5*r(m). Find the first derivative of a(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 494 and 95.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104215302 is divided by 2602.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 0.2. Let u = -0.33 + 1.13. Let w = u - g. Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + l + 3776 = 0, -4*u - 8*l + 4*l = -3040. Does 63 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 + 58273*z + 524393. Give f(-9).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 17. Let s be (((-12)\/2)\/(27\/6))\/((-98)\/(-21)). What is the third biggest value in j, s, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**0))\/y**(5\/2))**35*(y**0)**(2\/49)\/((y\/y**0)\/(y*y*y*y*(y\/((y**(1\/7)*y)\/y))\/y*y)) assuming y is positive.\nAnswer: y**(-1171\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = -5*g + 32, -338*q + 343*q = -2*g + 16 + 9 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14405*k**2 - 4729*k wrt k.\nAnswer: 28810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.81 - 0.19. Let t = s - -12.9. Which is greater: -31 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5493.5561 rounded to 0 decimal places?\nAnswer: -5494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12568 + 19508. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-141000)\/(-32900)*(-392)\/(-30)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 81. Let o be 48 + -30 + 0 + g + 1. Is o smaller than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n = -1726171 + 1727497 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-52))\/((6 - 2)\/(-23528)). Let m = k - 227. What is the biggest value in m, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3159 - 0.1?\nAnswer: -3159.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1785*k**2 - 189*k + 189. Let h(r) = 19*r**2 + 2*r - 2. Give 189*h(d) + 2*x(d).\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 637 = -3*a + 82, -k = 4*k - 0*k - 3*a - 285 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 414*((-65)\/(-104))\/((-40)\/(-32)). What is the greatest common divisor of 11247 and p?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 + -6 + (7 - 6) + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 15. Let p(k) = 4*k - 44. Let u(t) = 2*p(t) - 7*r(t). Let o be u(-15). Suppose 4*g = o*l + l + 106, 4*g - 98 = -l. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 24 = -5*q, g + 0*g - 14 - 13 = 5*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:54 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 3\/7, 1.1512, -0.32, -2\/5, 2\/3, -0.07?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k - 119 + 2*k + 36 + 41 + 43. Let m(i) = -7*i + 1. Let l be (12\/(-14))\/((-12)\/84). Calculate l*m(w) - 5*g(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103425*s**3*y**3 - 3*s**3*y**2 - 20*s**2*y**5 - 14138*s**2*y**2 + 2*s**2*y + s**2 - s*y**2 wrt y.\nAnswer: 620550*s**3 - 1200*s**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48468, -194244, -437328, -777720?\n\"Answer: -48654*f**2 + 186*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.072 bigger than -3.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:46 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(1\/3)*g)\/g*g)\/g)**(-31)\/(g**0)**(-1\/2))\/(g**6\/(g\/(g\/(g*g**(1\/5)*g)*g)*g*g))**(-12) assuming g is positive.\nAnswer: g**(194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037088 rounded to 6 decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3194 - 4992. Let h = i - -1810.11. Let t = h + -12. Round t to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10800263, -43201049, -97202359, -172804193, -270006551, -388809433?\nAnswer: -529212839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36363 + 36363 - 21*g**3.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*a + 3*t - 8*t, a - 16 = -5*t. Factor 25*q**3 - 2*q**2 - a*q + 2 - 19*q**3 - 2*q**4 + 2.\nAnswer: -2*(q - 2)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*c - 35*c + 4 - 44*c - 2*c**2 - 1.\nAnswer: -2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421\/5209 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 + 105 + (-1 - (-8 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 570440, 570392, 570344, 570296, 570248, 570200?\n\"Answer: -48*x + 570488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 - 7 - (-4 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -558 + 640. Calculate the least common multiple of d and 4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 8076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1183.45 - 1182. Round i to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0267 - -0.3733. Put 2\/3, o, -100 in descending order.\nAnswer: 2\/3, o, -100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(931) + sqrt(931)*-2 + 3 + sqrt(931) + 3 + sqrt(931) + -1 + sqrt(931)))**2*-2.\nAnswer: -269928 - 10080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*i - 77, -i + 0 = -o + 29. Calculate the remainder when 100 is divided by (-1 + -5 - -7)\/(1\/o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81.7308 - -0.2292. Let n = r - -0.74. What is n rounded to zero dps?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49977)\/(-7290) + (-12)\/216.\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(2 - ((-3)\/2 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -671694?\nAnswer: -671683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329098427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.1794892 to 1 decimal place.\nAnswer: -87.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44594*i**5 - 9*i**2 - 1030*i wrt i.\nAnswer: 2675640*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 4. Let k be 2\/10 - (-28)\/10. Let f(m) = 2 + k + 6*m + 0 - 5*m. Let h(l) = 4*f(l) - 5*s(l). Give h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-2)\/(-4))*(-60 + 60). Solve -u - 18 + 27 = 2*l, u - 3*l + 6 = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5402 (base 7) to base 15\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 3*p - p + 4*p. Give g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 426.2 to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 463 - 350. Calculate the remainder when v is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*q + 24 = 0, -2*g - g = -q + 43. Let r = 23 + g. Is 6 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 20*b + 46. Let m be h(-22). Suppose 0*r + 4*r = 16. Solve -c = m - 0, 3*s = 5*c + r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 3 = 3*h. Let m = 12 - h. Solve m = 3*v - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 172 = m + m, -2*q + 278 = 3*m. Suppose 2*x = 5*l - 45 - 219, -2*l - 4*x = -m. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 24*n**2 - 24*n - 22. Suppose -4*h + 71 = -m, -2*m + 79 = 5*h - 0*m. List the prime factors of r(h).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from qggqggqgqgg?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289.9548 + 0.0452. Let r = u - 260.6. Let o = r + -0.9. What is o rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2354\/31 less than -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**2. Let k(m) = -m**2. Let h(a) = -2*c(a) - 10*k(a). Let n(b) = -5*b. Let w(x) = 6*x. Let l(o) = -7*n(o) - 6*w(o). Give h(l(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*s - 1\/5 - 1\/5*s**2.\nAnswer: -(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + k**2 + k + 1. Let c(d) = -13*d**3 + 16*d**2 + 12*d + 9. Let q(n) = -c(n) + 7*x(n). What is q(-9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189405*r**3*y + r**2*y - 118*r*y - 55*y wrt r.\nAnswer: 1136430*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13997397.6 to the nearest ten thousand.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 243364 - 88895. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 198. What is the tens digit of (0 - 2) + b + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w - 9. Let q be w\/2*(-24)\/9. Let r = -29 - -37. Solve -q*f + 0 = r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -104, -108, -114?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29742082*p**2 + 343*p - 59484164*p**2 + 5*p**3 - 343*p + 29742082*p**2.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1563dcd + 2?\nAnswer: -1563dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38, 164, 320, 518, 770, 1088, 1484, 1970?\n\"Answer: 2*v**3 + 3*v**2 + 103*v - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/2*(-2)\/(-3). Let w be (k\/(-6))\/(10\/(-8)). What is the biggest value in 0, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -976, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + -38. Let n be p\/12 + 4\/(-24). Let v be (-8)\/(-56) - (8\/6)\/((-224)\/(-864)). What is the nearest to n in v, 0.4, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*3\/(-9) + 125. Round n to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3200)*-3)\/((sqrt(120) - 3*sqrt(120))\/sqrt(12)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/24 and 47\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-28)\/((-6552)\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 463, 927, 1389, 1849, 2307, 2763, 3217?\n\"Answer: -w**2 + 467*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/30*(-92)\/115*9\/(-42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 28*h**4 - 654*h**3 - 3440*h**2 - 5600*h = 0. Calculate h.\nAnswer: -5, -4, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 21*z - 51. Let g(c) = -37*c + 100. Calculate 4*g(b) + 7*o(b).\nAnswer: -b + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 + 201 = -3*a + 3*x, 9 = 3*a - 5*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-1)*(67 + -69). Put -2, d, 0 in descending order.\nAnswer: 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(847) - (3 + (-1 + sqrt(847) - sqrt(847)))) + 0 + 1*sqrt(847) + 0 + (sqrt(847) + sqrt(847) + -1 + -2 - sqrt(847))))**2.\nAnswer: -8250*sqrt(7) + 191200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 + 2*v**2 - v - 2. Let w be (-4)\/18 - 49\/63. Give f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -16, -15, -4, 23, 72, 149, 260?\n\"Answer: n**3 - 4*n**2 + 2*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -913, -1327, -1739, -2149, -2557?\n\"Answer: d**2 - 417*d - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1355\/4 - -329. Let n = -449\/198 + 20\/9. Let r = n + -235\/154. Calculate the common denominator of d and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y + 2*m - 4 = 27*y, -4*m = 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n - 5*n + 11*n + 3*n to o*n + l and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*u = 1114, 658 = -2*p - p + 5*u. Let a = -138 - p. What is the remainder when a is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 4228?\nAnswer: 12684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1317 + 1263.9. Let z = r - -53.0703. Let l = z + 0.03. Round l to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -3177.\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = b - 221, 5*r + 4*b = 3*b + 1105. Let o be r\/85 - 4\/(-10). Let d(x) = x - 3*x**2 + x**o - 9*x + 8*x**2 + 0*x**3 + 1. Determine d(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 12, r - 293 = -3*l - 0*r. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*j = -1, 4*h = -0*h - 5*j - 4. Sort h, -3, 6, -4.\nAnswer: -4, -3, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + -2 - -9 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 0.31705.\nAnswer: 4.31705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - j - 10 + j**3 + 6*j**2 + 13 + 16*j**2 in the form q*j**3 + v*j**2 + p*j + h and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (112\/80)\/(1*(-1)\/(-55))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26179\/1227 - 1\/409. Calculate the common denominator of (-130)\/8*(-15)\/((-2430)\/24) and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/(n**(-2\/15)\/n))\/(n**(-7)\/n**0)*((n*n\/n**(-2\/5)*n)**(-7))**(1\/14) assuming n is positive.\nAnswer: n**(163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -10*n - 1595992 - 892240, 25 = 5*n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/2, -4, 99 in decreasing order.\nAnswer: 99, 1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, -3, -5, 0, -1461, -2.\nAnswer: -1461, -221, -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94120331 is divided by 1694.\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 90, 132, 190?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102745*s + 2271068*s + 270521*s.\nAnswer: 2644334*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*g + 3*g - 2*g)*(-5 - 2 + 5) + 0*g - g + 0*g - 4 + 4 - 4*g)*(605*g + 657*g + 174*g) to the form c*g**2 + s + t*g and give c.\nAnswer: 1436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = -1. Suppose 0 = -3*s - 3*c + 4*c + m, -5*s = -3*c - 21. Let d be 18\/(3 + 0) - s. Solve 4*p - p = -d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14140426 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**3 + 3*d**2 + 3*d + 1. Let z(o) = -o**2 - 5*o**3 - 3*o**3 - 4*o**2 - 5*o - 3*o**3 - 3. Let f(t) = 10*s(t) + 6*z(t). Differentiate f(x) wrt x.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, t: 1, m: 1, p: 2, s: 1, o: 2}. Give prob of picking 2 p and 1 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.27, 13, 0, 51, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than 2067.611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0 + 1\/6*p**3 - 16*p**2 + 39*p - 8\/3*p**4. What is the derivative of t(r) wrt r?\nAnswer: -64*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 39 = -26*l. Let v(s) = -2*s**3 - 7*s**2 - 4*s - 2. Let y be v(-5). Let i be y\/21 + (l - 12\/(-21)). Solve c = z, 5*c + i*z - 17 - 19 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:07 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10743296 and 8192?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 288377 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1008000 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25960109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z + 5 - 3*z - z**2 - 4*z. Let q be 5 + 0 + -2 - -2. Give j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 5, -4, 2 in decreasing order.\nAnswer: 5, 2, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + m**2 + (248 - 6*m - 248)*(m - 1 + 1).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*t - 20. Let y(a) = a**2 - 11*a + 8. What are the prime factors of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-9))\/(1\/(-6)*4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*8\/(-60))\/(4\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*n - 0*b - 76, 0 = -2*b - 8. Find the common denominator of 730\/16*12\/30 and ((-1)\/6)\/(8\/n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*k + 8. Let b(r) = -r**3 + 9*r**2 - r + 11. Let s be b(k). Let g = s - -1. Solve -16 = g*j - 2*t - 4, 20 = -5*j - 4*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 + 15*h**4 + 7*h**3.\nAnswer: h**3*(h + 7)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 35 = 2*z + 2*z, -26 = c + 3*z. Let r(x) = x + 0 - 3 + 0 + 7. Let o(n) = n**3 - 3*n - 11. What is c*r(j) - 4*o(j)?\nAnswer: -4*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 20*f**2 - 7*f + 53. What is the smallest common multiple of 5 and u(-9)?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from cccxcccxccccxc?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20206252*i*n - i - 53917543*n wrt i?\nAnswer: 20206252*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4802.5 - 4802. What is the closest to 1 in -3, -22, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*x**2*y + 171*k*x**2 + 536*k*x*y**4 - 2*k*x + 10*x**2*y**3 - x**2*y + x*y wrt y?\nAnswer: 6432*k*x*y**2 + 60*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*f + 0*f + 0)*(122*f - 30*f - 33*f).\nAnswer: 177*f**2 - 59*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**4\/24 - 4*k**2. Let t(a) = a**2 - 4*a. Let f(j) = -j**2 + 3*j. Let s(c) = -4*f(c) - 3*t(c). Give x(s(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 851*h**4 + 276*h**3 + 257*h**2 + 10*h - 10373823?\nAnswer: 10212*h**2 + 1656*h + 514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.72 - 0.28. Let v = 7.0168 + h. What is v rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398876 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: Let k(b) = 6*b**2 - 88*b - 12. What are the prime factors of k(15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 12*b - 5 = f, -3*f - 15 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(33)\/sqrt(3) - sqrt(11)) + 0 + (sqrt(88) + 2*sqrt(88))\/sqrt(8) + 2)*2)**2.\nAnswer: 48*sqrt(11) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1601521 by -3.\nAnswer: -1601521\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {i: 4, a: 2, n: 4, g: 9}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1024002330 (base 5) to base 13\nAnswer: -5b0946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 - 0.15. Let r = -3\/4 + 1\/2. What is the nearest to 0 in r, -1\/3, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7901 is divided by 416.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 683.5 * -111.\nAnswer: -75868.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*s**3 + 4 - 2*s**3 + 0*s**2 + 0*s**2 + (4 + 2*s**2 - 4)*(0*s + 2*s + 0*s) - 2*s**3 + s**3 - 2*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46031768 divided by -2?\nAnswer: -23015884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g + 1960 = 31*g. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-24) + (-1631672)\/(-448)?\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 575, -18, 17 in descending order.\nAnswer: 575, 17, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 7*x - 284. Suppose -68*l = -x*l + 138. Let r = -46 + l. Sort 3, -18, r in decreasing order.\nAnswer: 3, r, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 8 - -3 - (43 - 34)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t + 58*t = 5*o + 8, t + 3*o = -15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3028.0303 and 11.\nAnswer: 33308.3333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -21. Let a = u + 21. What is the lowest common multiple of 3 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7725\/(-750) + 20\/2.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -25, 0 = -0*y + y - 4*a - 11. Let q(l) = -y*l + 1 - 26 + 4. Is q(-4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78.1682 + 0.1682. What is the closest to -2 in v, -3, -0.4, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.2. Let j = l - -1.7. Let m = -64 + 447\/7. Which is the smallest value? (a) m (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177177867 or 0.06?\nAnswer: -177177867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 33831.1 to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 15\/5)\/(2\/(-229)). Let c = h - 636. What is the tens digit of 2 + c\/(-5) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 867 - 858. Let v = -1.2 - -1.6. Sort 3\/7, b, -0.4, v in descending order.\nAnswer: b, 3\/7, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2 (c) 55 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 30*x + 3. Calculate t(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-8)\/864*2*2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 1110?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4 + 668*s**3 - 28900*s**2 + 265012*s + 294576 = 0.\nAnswer: -204, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131279 + 131267 + 131265 - 393811 - 5*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-812)\/(-98) - (-2)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, v: 4, w: 2}. What is prob of picking 1 w and 1 v?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 693\/8757*24\/(-132).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -3213320?\nAnswer: 3213313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/189*-7 - (-86)\/(-654)*-5. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29410 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + -3)**2)*2 + sqrt(65)\/sqrt(320).\nAnswer: -44 + 113*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -238 + 238.4. Sort s, 13, -3, -0.3.\nAnswer: -3, -0.3, s, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -173?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -732\/82363?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:08 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/7)\/(528\/(-120736)*-98)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 + 0)*(-1 - 2 + 2)*(-4 - 2*x + 4)*(-1312 - 729 - 718) + 2*x + 3*x - 3*x + (0*x - 6*x + 4*x)*(-2 - 3 + 4) to k + r*x and give r.\nAnswer: -22068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(660\/(-8)) + 2\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*1*((-90)\/(-60))\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/48456948 and -73\/88837738.\nAnswer: 533026428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 4*j - 5. Let m(o) = -o**2 + 3*o + 4. Determine -3*h(u) - 4*m(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 933.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 2356460?\nAnswer: -2356456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 7\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11664)\/504 - (-1)\/7. Sort -4, -3, -5, m in ascending order.\nAnswer: m, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-two thirds of a century?\nAnswer: 20800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -37, 7, -2, -5, 3 in increasing order.\nAnswer: -37, -5, -2, 3, 7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -56.88. Let q = -0.62 - s. Let t = q - 7.9. Which is the smallest value? (a) -5 (b) -1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2959 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3 + 1246*m**2\/5 - 148*m - 496\/5 = 0. What is m?\nAnswer: -2\/5, 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i**3 - 110*i**2 + 171*i - 1760. Let v be o(12). Let -2\/3*l**v + 0 - 8*l**2 + 16\/3*l**3 + 0*l = 0. Calculate l.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85635946.\nAnswer: 2, 11, 23, 169241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 925 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueezjej. Give prob of picking 2 e, 1 z, and 1 j.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105462 and 729.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 20*a**3 - 345*a**2 + 520*a + 880.\nAnswer: 5*(a - 4)**2*(a + 1)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(3400)*-1)\/(-2*(sqrt(72) - (sqrt(72) + -3*sqrt(72)) - sqrt(72))) + -4.\nAnswer: -5*sqrt(17)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 298244423 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let h(t) = -2058745*t**2. What is h(g(i))?\nAnswer: -2058745*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10*m**3 - 1 - 24*m**3 - 2*m + 36*m**3 - 3*m**3 - 4*m**2. Calculate w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 10940?\nAnswer: 10940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) -177\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhwwwzwww. Give prob of picking 1 z and 1 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -6 in increasing order.\nAnswer: -6, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 930 divide 16261980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 26 = -0*j + a, 3*a = -4*j + 23. Solve -j = 4*s - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768)*-3 + sqrt(768))*5)\/(-2*(sqrt(4) - sqrt(64)*1)).\nAnswer: -40*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + k - 2. Let u(n) = 42*n**2 - 2*n - 33. Determine -u(f) - 3*z(f).\nAnswer: -45*f**2 - f + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14848102 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 228*p - 235*p + 3269. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by 118615.\nAnswer: -73\/118615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4, -3, 2380, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 14 = -24. Let p be -2*t*((-63)\/(-12) - 5). Solve p*f - r - 22 = 0, -5*r + 5 + 5 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*z - 69*z + 989699. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -26*f**2 + f - 11. Let d be u(3). Let y = 247 + d. Let h(p) = 77*p - 42. Let v(i) = 9*i - 5. Determine y*h(n) - 42*v(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -10. Suppose 3*i + 4*b + 622 = 0, -g*i - 2*i - 5*b = 829. Let a be 4\/14 + i\/(-14). Solve -4*v = -14 - 6, -3*v = -2*l - a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - 10)\/(1 - -1). Find z such that 10*z**2 + n - 8*z - 8*z + 4 + 2 = 0.\nAnswer: 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 - 20*c**2 - 16*c + 4. Determine s(7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 27*p + 23*p - 54 = 0, -p - 38 = -3*i. Solve o = i - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 + 90. Suppose 5*b - y = -0*g + g, 6 = -3*b - 3*g. Factor -3*i**2 - 9\/2*i**3 + 0 + b*i - 3\/2*i**4.\nAnswer: -3*i**2*(i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z - 11. Let f(h) = 11993*h. What is m(f(x))?\nAnswer: -47972*x - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*g + 5*k = 219, 5*g - 5*k - 635 = 0. Suppose l + 27 = g. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012731251 to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/146 in -0.4, -107\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(201\/(-1809))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7722 and 4411?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/2) + 6\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + 3 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 - 8 = 0. Let s = 45 + g. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11.3. Let m = -68 - -71. Suppose -m*k = 3*v - 15, 4*v - 2*k + 3*k - 14 = 0. Which is the smallest value? (a) 1.6 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81331 less than -2.03?\nAnswer: 81328.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-13))\/((-3)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*g + 67 = 4*t, 3*g = 3*t - 45. Let c = -9 + t. Solve -c*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - (2\/(-6))\/((-5)\/(-465)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3111 - 3118. Put -2, h, 2, -10 in increasing order.\nAnswer: -10, h, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113404 divided by 56702?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7743 - 7742 + 9*h**2 - 153*h**3 + 163*h**3 - 2*h to the form i*h**2 + r + t*h**3 + s*h and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, 2 in descending order.\nAnswer: 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -44*y - 19. Let s be k(18). Let p = -482 - s. Let h = p - 78. Calculate the remainder when h is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -42875*g**5\/2 + 4825275*g**4 - 400233890*g**3 + 14459767893*g**2 - 388272148353*g\/2 + 180071736336 = 0.\nAnswer: 1, 32, 2241\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 15461*c + 704*c**2 - 15461*c + 104*c**2 as d*c + k + u*c**2 and give u.\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -828 divided by -36?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4126 * 1558.5\nAnswer: -643.0371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -80? (a) -2 (b) 3 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - (-1)\/((-2)\/(1 + 3)). Let a(i) = 2*i - 12. Let y be a(o). Solve -25 = c + y*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 454*a - 437*a + 887*a.\nAnswer: -4*a + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1170430 to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -76628.\nAnswer: -9\/76628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*g = 10, -6*d - 21601 = -g - 21567 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(9\/(-3)))\/(2\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:12 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153.06 - 5.06. Which is the biggest value? (a) -1 (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:37 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 646 - 406. Let j = -238 + s. Solve -j = o + 3*p, 3*o - 4*p = 8*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-368)\/276).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, 20, 65, 156, 311, 548, 885?\n\"Answer: 3*t**3 - 4*t**2 + 8*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4479*f**6 - 2*f**5 - 2*f**3 + 30978*f**2?\nAnswer: -537480*f**3 - 120*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.1 (b) -1\/6 (c) -178 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -10 (c) -133 (d) -4 (e) 0.5 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + 6 + -4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = t + 17, -26*t + 52*t - 28*t - 5*m - 16 = -10*m for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 7*l + 25. Suppose 0 = l*j + 4 + 31. Let r(x) = x**3 + 8*x**2 + 8*x + 4. Calculate r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 + 9*q - 5*q**3 - 7 - 9*q**3. Suppose 0 - 40 = 8*u. Let f(o) = -16*o**3 + 13*o - 10. Give u*f(i) + 7*l(i).\nAnswer: 3*i**3 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = 18. Suppose -5*y + 4*p - 3*p = 0, a*p = -5*y. What is the units digit of 1*(y + (-177)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13442252.6 to the nearest one thousand.\nAnswer: -13442000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -o + 10 - 4, 4 = -3*o - 5*b. Let f(l) = 9*l + o - 1 - 36*l. Let i be f(-7). Calculate the greatest common divisor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -991 - -15879\/16. Calculate the common denominator of -17\/4 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/(4 + -3). Suppose 0 = -4*c + x + 19, -c - 4 = c + 4*x. What is the second smallest value in y, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.83 - -0.03. Let o = p + 2. Let h = -0.1 + 0.1. What is the closest to 0 in -1, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - 0?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 653, -3, -83\/28, 4.\nAnswer: -3, -83\/28, 1\/2, 4, 653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u**2. Let t(w) be the third derivative of 0*w**4 + 21*w**2 + 0*w + 1\/20*w**5 + 0*w**3 + 0. Determine t(y(i)).\nAnswer: 300*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1316 + 1752?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/2 + (8\/((-64)\/(-142)))\/(-3).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 66780892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p - 5*c - 1688, -p - c - 838 = 0. Let u be p\/(-9) - 4\/6. Suppose -22 = 5*r - u. Solve -l - 12 = -4*v + 1, 5*v - r = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114441 - -150?\nAnswer: -114251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5)**(-9))**(-4\/17))**(33\/2) assuming f is positive.\nAnswer: f**(2970\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1208\/16 - -7)\/159. Let v = j - 1\/53. Which is the nearest to v? (a) 2\/3 (b) -0.6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-24) + -1 + (-2)\/(-4). What is the nearest to b in -3\/5, -2, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n**3 - 5*n**2 - 15*n - 3. Let z(h) = -7*h**3 - 4*h**2 - 13*h - 2. Let c(u) = 5*x(u) - 6*z(u). Determine c(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 8*z + 47. Let d(o) = -o**2 - 10*o - 47. Let b(q) = 4*d(q) + 5*l(q). Is b(10) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let o(m) be the first derivative of -24 + 0*m + 0*m**2 + 2\/3*m**3. Calculate b(o(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6407, 3897, -2911, -16165, -38013, -70603, -116083, -176601?\nAnswer: -254305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + -97. Let s be (6\/36)\/((-1)\/(-2)). Let j = 1.4 + -1. Which is the closest to 1\/3? (a) t (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3584?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 19*y - 6. Let b(s) = -10*s + 26*s - 11 + 22*s. Let u(q) = -6*b(q) + 11*n(q). Let r(h) = -h**2. What is r(u(l))?\nAnswer: -361*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*s = 3*p - 44, -p + 2*s = -36. What is the remainder when p is divided by 2 + 3\/((-6)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/(9\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 = 2*w, 3*g + w + 26 = 5*w. Let s(f) = -f**3 - 17*f**2 + 14*f - 62. What is the remainder when s(-18) is divided by (-2 - 0) + (3 - g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/6*(-9082)\/(-717)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 10*g + 85. List the prime factors of z(26).\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16\/11 (b) 86 (c) -0.1 (d) 0.4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 396 - 396. Find l such that -2\/7*l**4 + 18\/7*l**3 - 54\/7*l**2 + 54\/7*l + f = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 4*i**2 - 8*i - 148. Let q be o(7). What is the greatest common divisor of 60 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4241, -16561, -37095, -65843, -102805?\n\"Answer: -4107*f**2 + f - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 103674 * -10\nAnswer: -1036740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31.209 * -50\nAnswer: -1560.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32140 + 22?\nAnswer: -32113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 558 - 552. What is the second derivative of 8*i**2 + 28*i**2 + 392 - q*i + 2*i**3 - 382 wrt i?\nAnswer: 12*i + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66c (base 14) in base 10?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + -113. Let u = -47.053 - q. What is u rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 - 5729799.907.\nAnswer: -5729829.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50729, 101466, 152203, 202940?\nAnswer: 253677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q. Let h(j) = -7 - 3*j + 7 - 6*j. Give h(w(l)).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, g: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 2, 1\/7, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 282*p**2 + p + 9. Let n(x) = -2*x**2 + 48*x + 160. Let q be n(27). Is y(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 - 149. Let s be (((-18)\/(-20))\/9)\/(4\/q). Which is the fourth biggest value? (a) s (b) -1 (c) -0.08 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2694 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 38. Let f be v(-13). Let h be 3 - (-6369 + 0 + f + 0). Suppose -u + 3827 = 3*y, -3*y + h = 2*y + 3*u. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1177*l**2 + 2. Let h(j) be the third derivative of j**4\/12 - 3878*j**2. Calculate h(g(z)).\nAnswer: 2354*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p. Let b(v) = -115 + 70 + 334*v**2 + 45. Determine a(b(d)).\nAnswer: -1002*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15689 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 8*v + 9. Let h be (-6)\/4 + 1\/2. Let a = h + 2. Let d be 1 + a\/1 - -4. Calculate j(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 114\/7, 16, 0.02, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**4\/30 - 2*n**3\/15 - 2*n + 8. Solve f(c) = 0 for c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - q - 2)*(3 - 6 + 1) - 2 + 2*q + 2)*(-7*q**2 + 4*q**2 + 2*q**2)*(-q + 2*q - 2*q).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l - 21*l + 46*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(-3\/11))\/(x*x*x\/(x**(-9)*x)*x*x))\/((x*x\/(x\/(x\/(x\/(x*x**(-3)))*x)))\/(x**(-6)\/x)))**(-1\/36))**(-22) assuming x is positive.\nAnswer: x**(-103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*z + 4*i - 10, -2*z + 11 = 3*i. What is the first derivative of -5 - z + 67*j - 59*j wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*t = -0*t - 25, 2*h - 12 = -2*t. Let b be h*1\/(4\/76). Calculate the highest common divisor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0 (c) 5 (d) 1 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*n**2 - 53*n**2 - 71*n**2)*(-2*n + n - 2*n) to the form w*n**2 + k + c*n + m*n**3 and give m.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:16 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + sqrt(102)*-2))*6)\/(sqrt(384)*-6) + 6*-5*(sqrt(68) + -1)*1.\nAnswer: -241*sqrt(17)\/4 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s. Let p be k(1). Let v be 14\/7 + p\/4. Which is the smallest value? (a) v (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*d = -134*d - 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 e when four letters picked without replacement from ebbnnannneneebb.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/15 - 2\/105. Let u be (0 - -1) + (-1 - -2). Suppose x = -u*x. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33794 - -33790. Let v = 1 - 0.95. Let w be ((-6)\/20)\/(15\/(-20)). Which is the smallest value? (a) w (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 4:39 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7986878617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*l - 21. Which is smaller: 10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 3, 4\/201?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 158 = -3*x, -15*x + 10*x + 270 = -5*o. Is 405\/8 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2. Let x(v) = -v**3 - 6*v**2 - 9*v + 6. Let a be x(-3). Let w(h) = -a - 9 - 2 + 34*h + 18. Determine p(w(s)).\nAnswer: 2312*s**2 + 136*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23470.\nAnswer: 2, 5, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5404 * 0.203\nAnswer: 1097.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35908, 143557, 322970, 574147, 897088, 1291793, 1758262?\nAnswer: 2296495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/7301)\/(14\/49). Let m be (-2)\/(-10) + (-184)\/20. Let d be (-8)\/(-12) - (-6)\/m. Do j and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 9) + (5 - 9) - (-16 + 23).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 s when four letters picked without replacement from {s: 9, f: 2, c: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 8*f**2 - 10*f - 7. Let x be p(-9). Suppose -u + 1116 = x*u. Suppose 0*m + u = 4*m. Round m to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 = -5*c - 119. Let b = -27 + c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -311 + 395. Suppose -v*h + 94*h - 280 = 0. Calculate the highest common divisor of h and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 222 = 2*j + j, -4*j + g + 271 = 0. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001010100 - 11111111011?\nAnswer: -10000001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001010111000101 + 11?\nAnswer: 100001010111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27177146 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -161\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-160)*-10*4*(-22)\/(-18)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48384 and 1800.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3446*r**3 - 3368*r**3 - 191*r**2 + 95*r**2 + 98*r**2.\nAnswer: 78*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 8*z + 9. Let t = -12 + 21. Let p be m(t). What is the second smallest value in p, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Suppose -20 = -2*w - f*w. Solve 0 = -2*u - 6, 12 = -w*y + u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**4\/12 + o**3\/2 - 3*o**2 + 8*o. What is the units digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048 divided by 1048?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 214602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 + 1084*r + 1991*r + 480*r - 342.\nAnswer: 3555*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, i: 6, l: 2, s: 2, k: 1, n: 2}. What is prob of picking 2 s, 1 n, and 1 i?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1310 - -1319 - (1 - 4 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 454872?\nAnswer: 909744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1726736?\nAnswer: 1726736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1211 - 641. Round u to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-9)\/(-12) - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/49? (a) 12.1 (b) 0.049 (c) 0.3 (d) 0.2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 16, 21, 22, 19, 12, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -68226844 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26771, -107071, -240903, -428267, -669163, -963591?\nAnswer: -1311551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 - 133. Let z be 5 - 1 - 3\/((-60)\/(-76)). Which is the third smallest value? (a) -0.07 (b) r (c) -0.4 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.006? (a) 2 (b) -2 (c) -10 (d) 0.4 (e) -319\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from bvvvwwewwewwbwwe.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 86 + 101 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + (-10 - -5) - (-9 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d, -5*d + 2*d + 992 = 2*c. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 614686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -24 (b) -309\/20 (c) -2 (d) 0.5 (e) 0.05 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, t: 2, g: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 10*f**2 - 10*f. Let g = 204 + -195. What is d(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1700 and -119\/360.\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(-1 + (-8)\/(-16)). Solve c*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 9, c: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, -25 in descending order.\nAnswer: 0, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30123593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*i + 755*i + 604*i + 55400 = -160*i for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -35*o**2 + 389*o - 46. Give r(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.41 + -0.01. Let x = -3.8 + -16.4. Let z = x + 20. Sort -2\/5, q, z in descending order.\nAnswer: q, z, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 463519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -5*sqrt(176))**2.\nAnswer: -800*sqrt(11) + 17700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1 = -3*t, 0 = 37*q - 38*q + t - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (84\/30)\/((-1)\/140*-2). Suppose 0 = -7*v - 21*v + n. Solve -v*g = -g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11130 - 22320?\nAnswer: -11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5835027 a multiple of 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -42?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*g - 59*g + 2*g**2 - 73*g + 3*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 0 - (525 + -506).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5039*b = -5036*b + 14, 5*g = 2*g + b - 22 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: b\"What is the mth term of 56, 237, 418?\n\"Answer: 181*m - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*n**5 + 6*n**5 - 9*n - 6*n**5 wrt n.\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -134 + 77 + 63 - (-2 + (2 - -11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**3 - 5*d**2 - 3*d + 4. Let y(b) = 6*b**3 - 4*b**2 - 4*b + 3. Determine -5*q(u) + 6*y(u).\nAnswer: u**3 + u**2 - 9*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138816*u + 138793*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/32 + 5 + 21\/(-12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.118 + -26.834. Let y = -27 - q. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0*d + d + 2 - 2. Let t(i) be the first derivative of -8*i**3\/3 + 3*i - 10988. Calculate t(q(l)).\nAnswer: -8*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.466 rounded to 1 decimal place?\nAnswer: -84.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3026*v**3*x - v**2*x + 2139*v wrt v.\nAnswer: 18156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331288693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 22. Suppose 0 = -2*r + 31 + h. Suppose 4*v + 3 = r. Which is the second smallest value? (a) -1 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 - 0.21. Let z = 1.41 + -0.82. Let u = z + q. Which is the closest to -1? (a) -1\/2 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10912991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339701 and 1882.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 1\/2, -3, -1\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -47.5. Let u = 4 - -1. Sort 4, x, u in descending order.\nAnswer: u, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16420.58ms in microseconds?\nAnswer: 16420580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2. Let c(l) be the first derivative of 19*l**2\/2 - l - 18. What is c(i(m))?\nAnswer: 19*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*w = -25*w + 234 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000892379 to seven dps.\nAnswer: 0.0000892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/1365 and 131\/816?\nAnswer: 371280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**3 + 5*b**2 - 5. Let k be q(-4). Let v = 393 + k. What is the least common multiple of v and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5798.275 - 4069.2. Let d = j + -1817. Let r = 88 + d. Round r to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/42 - 55*l**6\/6 - 2701*l**5\/2 - 506255*l**4\/6 - 1945085*l**3\/6 + l**2 - 5*l. Suppose m(b) = 0. What is b?\nAnswer: -73, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 59*v**4 - 6437*v**3 + 169099*v**2 - 179203*v + 16482 = 0.\nAnswer: 6\/59, 1, 41, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28109 to 3 decimal places.\nAnswer: 0.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.59 * 0.016\nAnswer: 0.00944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5))**22\/(s**(-4)*s\/(s*s**(3\/2))))\/((s**(-2\/3))**49\/((s**(-2\/11)\/s)\/s*s**(3\/7)\/s)) assuming s is positive.\nAnswer: s**(102133\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - 15 + 50. Solve 0 = -o + s*d - 26, 5*o + d = -d + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4567534494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 44. Let q(u) = u**3 + 6*u**2 + u + 6. Calculate q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 592\/2121 - -2\/303. Let n = 22 - 22.5. What is the nearest to -0.1 in c, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 69. Let s be q(-37). Suppose 0 = 4*w - 27 - s. Solve 0 = -5*t + 9*t - w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, -3\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/23 - (106 - 1138514\/10764)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20 + -16)\/((-4)\/(-8)). Which is smaller: t or 61\/9?\nAnswer: 61\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 992729820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 14*s**2 - 26*s + 19. Let r be u(10). Suppose -3*m - 85 = 4*d + d, -5*m - 4*d - r = 0. Round m to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 6 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1186728406*s**3 + 1048228249*s?\nAnswer: 7120370436*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (8 - 11) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -10 + 4 - -5) + -2. Factor 3\/2*h + 3\/2 - c*h**2 + 3\/2*h**4 + 3\/2*h**5 - 3*h**3.\nAnswer: 3*(h - 1)**2*(h + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 + 35 + 27*g**2 + g + 43 in the form t + k*g + b*g**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-3*u + 0*u - 4*u)*(2*u - 2*u**3 - 2*u)*(-3 + 1 + 4).\nAnswer: -56*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*r**2 + 26*r**2 - 55*r**2 + (2*r - 2 + 2)*(0*r + 4*r + 0*r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.07 and 3094918976.\nAnswer: 3094918979.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.84478ml in litres?\nAnswer: 0.03084478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 - -2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x**2 - 13*x - 21. What is the remainder when 290 is divided by b(-3)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-5*h + 2*h + h) - 4 + 4 + h - 2*h + 2 - 2 + 0 + 0 + 1 + 2*h - 5325 + 5325 + 19*h.\nAnswer: 22*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 + 6 = 2*r, -22 = 3*a - 5*r. Let p(g) = 35*g**3 + g**2 - 1. Let h be p(a). What is the greatest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540666 by -126.\nAnswer: -4291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0*u**2 + 2*u**2 + 2*u**3 - 528 + u**4 + 529. Let d(l) = -l**4 - l**3 - 1. Let a(t) = -4*d(t) - 2*f(t). Factor a(c).\nAnswer: 2*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34401035 (base 8) in base 16?\nAnswer: 72021d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlla when four letters picked without replacement from {a: 2, n: 4, l: 5}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -338, 5, 4638 in ascending order.\nAnswer: -338, 5, 4638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d - 715. Let g(t) = 6*t**2 - 23. What is g(i(p))?\nAnswer: 600*p**2 - 85800*p + 3067327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 5. Let a be (-22)\/(-4) - (-10)\/(-20). Suppose 0 = z - a*j - 13, -2*z - 2*j = z + 29. Let q = 3 + z. Calculate x(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24404 - -5?\nAnswer: 24409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert c6 (base 16) to base 9.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -89, -103, -135, -191, -277?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 7*k + 231. Let a = -75 + 113. What is the remainder when k is divided by a + (-4)\/(-20)*5?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7129, -28664, -64599, -114934?\nAnswer: -179669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v - 3 + 3)*(0*v - 2*v + 3*v) - v**2 + 0*v**2 + 2*v**2 - 4*v**2 - 2*v**2 + 5*v**2 + 0*v**2 - v**2 + 3*v**2)*(-v**2 + 3*v**2 - 3*v**2).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 + 146 = 5*o. Calculate the remainder when o is divided by (-1)\/(-3) - (-124)\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 2*h**2 - 2*h - 3. Let s(f) be the first derivative of -f**3\/3 + f**2\/2 + f + 3. Let j = 2 + 0. Determine j*s(l) + v(l).\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = -4*i, 7*o - 3*i - 24 = 4*o. Suppose -p - 24 = -o*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191147627?\nAnswer: 11, 53, 327869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 4. Let r(s) = 5*s + 23. Let q be r(y). Solve -2*o = -3*o - q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1102 and 256.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 11:34 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*k - 197, 22*k = 25*k - 5*p - 263. Is k a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2348400427 to the power of 1\/2, to the nearest integer?\nAnswer: 48460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:10 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36822 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -1 + 0 + 13 - (1 + -16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 55*s**3 + 113*s**2 - 57*s.\nAnswer: -s*(s - 1)**2*(s + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:05 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -131957071 to the nearest ten thousand.\nAnswer: -131960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165860780 to the power of 1\/2, to the nearest integer?\nAnswer: 12879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -11. Suppose g + 2*g + 2*s = -2, x*g - 2 = -s. What is the second smallest value in 0.2, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/4773 and -50\/609?\nAnswer: 968919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013609091 rounded to five decimal places?\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -144 and 12213993.\nAnswer: 12213849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 980 by 140.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 1 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - (-4*1*sqrt(187) - sqrt(187))) + sqrt(187))\/sqrt(11) + -5)**2*-5.\nAnswer: -5565 + 400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 smaller than 3\/983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - z + 5. Determine a(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1303535 and 10335.\nAnswer: 50837865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 24. Let q = r - 104\/3. Let w = 0.09 + 0.01. Which is the biggest value? (a) -0.4 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4111517205 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 2*d - 2*d + (2 - 2 - 2*d)*(-5 + 2 + 2) + (5 - 4 - 3)*(3*d - 6*d - d) + 3*d + d - 3*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 62*p = -39 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 149*o**3 - 3032*o**2 + 3032*o**2 to f*o**3 + p*o**2 + n + g*o and give f.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (564\/(-376))\/((-3)\/(-12))*2\/(-27)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {f: 2, n: 2, v: 1, t: 1, a: 2, h: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/15)\/((-6)\/(-5))*3. Suppose 5*k - 26 + 6 = 0. Solve -20 = y*q - 5*g, -16 = -k*g - 0*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5 - 303*w**4 - 594*w**3 + 6*w**2 + 597*w + 297.\nAnswer: -3*(w - 1)*(w + 1)**3*(w + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406073089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 24 = 5*p + 4*t - 8, 0 = -p - 60*t - 240 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409599, -409810, -410023, -410238?\nAnswer: -410455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + (-3 - -8 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -640?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-425)\/(-10)))\/(11\/(1815\/6)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 6*b - 142 - 13*b**2 - 4*b + 149. Let a(g) = 6*g**2 + 4*g - 3. Let f = 10 - 6. What is f*s(m) + 9*a(m)?\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67055489*o**3*u + 3*o**2*u + 98*o**2 - 31467*u wrt o.\nAnswer: 402332934*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.4 + -57.2. Let p = -32 - v. Which is the third biggest value? (a) p (b) 7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2088 and 9918?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -270.2 less than -1922547?\nAnswer: -1922276.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 313*l - 102. Does 93 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 7*g - 3*g + 3*g in the form h*g + q and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 42 + (22 - (15 - -21))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -361\/1804 + 3\/164. Let t = 29031 + -29030. Which is the closest to t? (a) -1\/6 (b) 2\/13 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.387 times -0.3\nAnswer: 0.1161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 23. Let y be f(7). Solve -4*w - y*b + 40 = 0, 0 = -4*w - b + 6*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b919 (base 14) in base 5?\nAnswer: 2010341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-4) - (-35)\/(-70). Solve -44*c = -39*c + z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -30. Let c(t) = -2*t. Let d(n) = n**2 - 3*n. Determine r*c(x) - 2*d(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.133, -0.5, 8, 0.1, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3280 and 12423?\nAnswer: 993840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1aa - 4?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/105)\/((-3)\/15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00496066 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r - 128. Calculate f(0).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 h, and 1 c when four letters picked without replacement from {c: 2, h: 3, d: 2, k: 2, s: 4, u: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15315 and 231585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*p = 42, -6*p + 2*p - 14 = -m. Let j = m + 20. What is the remainder when 101 is divided by j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -0.06\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (6*-2*sqrt(91) + sqrt(91)))\/(-2*sqrt(175)).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 66 - 33 - 38. Let n(p) = -p + 2. Determine 5*n(c) + 2*q(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - -1) - 3 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -778 - 748. Let v = u - -2625. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3635\/48 - 224\/3. Let u = 7832289511\/483204 - -366\/40267. Let h = -16219 + u. Find the common denominator of o and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4550)\/17325 + 4\/9.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*f = -2, -5*f + f = 0. Suppose 0 = -l*x - 4*s - 12, -s = 3*x - x. Solve -x*d + d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 16 = 2*z, -z + 4 = 5*r + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/414 and 49\/246054.\nAnswer: 738162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19881 and 11227971.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 428 = -14. What is the remainder when 466 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -52*l + 589. Determine m(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 - w - 1. Let s(v) = 7*v**3 - 4*v**2 - 4*v - 12. Let j(q) = 4*k(q) - s(q). Differentiate j(f) wrt f.\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424088.\nAnswer: 2, 7, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11*c*c*c*c**9\/c)**47*((c*c\/(c\/c**(3\/4)))**(3\/16))**(-29) assuming c is positive.\nAnswer: c**(65567\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**3 - 9*q**2 - 7*q. Let o(d) = 14*d**3 + 26*d**2 + 21*d. Let t(c) = -6*o(c) - 17*w(c). Is t(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*r = -23, -2*r = -5*y - 13 - 15. Let s(l) = -5 + 12*l**2 - 3*l + l - 5*l**2. Is s(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2943 and 613779?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - -3) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + 5 + sqrt(275) + -5.\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 8:48 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 - -0.61. Which is the fourth smallest value? (a) 3\/4 (b) t (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65.58 + 4.38. Let k = 61.200343 + r. Round k to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/35)*u)**25\/(u*u\/(u*((u*(u*u**8)\/u)\/u)\/u))**6 assuming u is positive.\nAnswer: u**(422\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/836*(-22)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -11*c**2 + 112*c + 57. Is b(-7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17958 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - n - 2 = h, 0 = 2*h + 4*n + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -3*c**3 - 23*c**2\/2 + 29*c. What is the hundreds digit of q(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + -34. Let c = p + 95. What is the second smallest value in c, 12, 3\/8, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.03, 0.2, 674?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (11 - -1)*3\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 2*q - 2. Let s be u(-2). Let h = 929 - 933. Let j be h\/s - (4158\/(-30))\/9. Solve -l + 5*x - j + 3 = 0, x + 9 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = -3*g - 128. Let t = -65 + g. What is the remainder when 166 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112151 (base 7) in base 11?\nAnswer: 14013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-552)\/80 - -7). Suppose g - 35 = 5*v - 0*g, l = -5*v - 2*g. Let u(t) = t**3 + 6*t**2 - 3*t - 12. What is u(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 5, 16.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.67 + -0.37. Suppose 3*p + 4*n = 14, 0*n = 3*p + 2*n - 10. Is x not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/5 - (-4)\/(-10). Let p(w) = 2*w**2 - 47*w + 111. Let t be p(21). Suppose 2*a - t = m. Solve 0 = 3*s + k + 7, 0*s - a*s = -3*k + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = -k - 61, 2*k - 3*w = -157. Let m = k + 159. Suppose -2*g + 3*q = -m, -2*g - 3*q = g - 147. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 77\/13 (b) 3125 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(432))**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*h - h - 6 = 0, 4*h = -3*w + 14. Let j(n) = 14*n**2 - w + 3*n**2 + 2. Let o(u) = 2*u. Calculate j(o(m)).\nAnswer: 68*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k**2 + 2. Let p(h) = 5*h**3 - 2*h**2 - 9*h - 6. Let w(n) = 2*g(n) + p(n). Let c(a) = 3*a**3 - 4*a - 1. Calculate -9*c(r) + 4*w(r).\nAnswer: r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.6. Let t = -3.5 + 3.4. Which is the nearest to -0.2? (a) -3\/2 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*l - 17, -4*n - l = 4*l - 10. Suppose 135 + 105 = 15*i. Solve -5*d - i = o - 2*o, 40 = -5*o - n*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = 5*c - 3*c, 3*b = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1759\/7 - (-2)\/(-7). Let m be (-2)\/(-6) - i\/(-3). Let g = 149 - m. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 - 6*r**3 + 291.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14931\/6399)\/(14\/(-12))*66?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.8 in 0.15, 1\/2, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19.1*-9932\nAnswer: 189701.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66054 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: Solve -14*q + 14 = -7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 13*l**2 + 2*l + 2. What is the units digit of z(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnxnnnnnnn. What is prob of picking 1 x and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 51670*v**3 - 333697776*v**2 - 333749448*v.\nAnswer: -2*v*(v - 12918)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2 + 14 = 0. What is the units digit of (-6)\/((6\/l)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -390 - -1?\nAnswer: -38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8850 is divided by 803.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.499 + 0.229. Is 2\/5 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11476495 is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 181526 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 9*t - 300 = 0. Suppose -c + 26*c - 125 = 0. What is the highest common factor of t and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 20*r**2 - 20*r + 21. Let d be p(19). Let w = -605 - -609. Sort -14, w, d, 3.\nAnswer: -14, d, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**6))\/(r*r**(3\/8)*r))**(2\/41) assuming r is positive.\nAnswer: r**(29\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3726312 is divided by 931565.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*j + 14*j + 1 - 10*j)*(0 + 1 + 0) + (-1 + 3 - 1)*(-2*j + 10 + 13 - 20) to k*j + b and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 210 = -55*h + 26*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 + 123.4. Let r = x + 4.6. Sort r, 2\/3, 1 in decreasing order.\nAnswer: r, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s - 37. Let v(t) = -7*t - 73. Let o(g) = -11*m(g) + 6*v(g). Let x be o(17). Is (-50)\/x*(-153)\/85 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 minus 1.1?\nAnswer: -71.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/4 (b) 668710 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26568 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: Suppose 3*g + 6 + 9 = 0. Let d = -39 - -27. Let r be 1 + (-15)\/2*(-8)\/d. Sort r, 5, g in decreasing order.\nAnswer: 5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*a - 122*a + 5*k + 180 + 270, -39*a - 101 = -41*a + k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1335 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -126 + 378. What is the remainder when m is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*y = -g + 40, -16 = -16326*g + 16328*g - 5*y - 36 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(2*f + 0*f - 4*f)*(0*f + 2*f + 0*f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*j**3 - 6*j**2 - 10*j + 1 wrt j.\nAnswer: -42*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 5, 2272, -4, 2 in decreasing order.\nAnswer: 2272, 96, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.92 - -510.92. Let y = 508.74 - x. Let t = y + -0.24. What is t rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 2*q**2 + 5*q + 2. Let k be z(6). Let l = k + 120. Let s(o) = o**2 - 8*o - 10. Give s(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25644 = 35*d - 39*d - 2*y, 32085 = 5*d - 5*y. Calculate the greatest common factor of d and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*k - 10 = -k, d - 2 = -5*k. Suppose -3*z - 10 = 2*z. Let h = z + d. Solve -12 = -f + h*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46*66\/5060)\/(9\/(-370)*(-2)\/(-3))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-2)*16\/(-10). Let x be ((-36)\/(-3))\/(10\/35) - 2. Calculate the greatest common factor of x and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 5*q**4\/12 + 5*q**3\/2 + 9*q**2\/2 + 154*q. Let y(n) = -n**2 - n - 2. Let d(l) = -v(l) - 6*y(l). What is d(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1388, -2817, -4246?\n\"Answer: -1429*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let f = 2 - 11. What are the prime factors of p(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 18*s - 2. Give v(-6).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -13 + 11. Let g(z) = -6*z - r*z + 14*z + 4 - 8*z. What is g(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18755300?\nAnswer: 2, 5, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-16)\/(b*b**5))\/(b\/(b**(-3)\/b))**39)**(-26) assuming b is positive.\nAnswer: b**5642","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -68, -3, 3 in descending order.\nAnswer: 5, 3, 1, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -994*y - 2953. What is g(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*h - 3*b, 0 = -9*h + 4*h + 3*b + 134. Let z = 560 + h. What is the greatest common divisor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 minus -1408.7643?\nAnswer: 1408.6543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*p = 812806 - 811084 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1100026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13109999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4072*h + 4072*h + 962*h**2 + (-h - 2*h + 2*h)*(-6*h + 3*h + 4*h) - 2*h**2 + 0 + 0 + (2 - 2 - h)*(2*h - h + h).\nAnswer: 957*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v = -128. Does 8 divide (-1)\/(3 + 100\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j + 12. Let k be 1\/(j\/(-3)) - 1. Determine i, given that 0*i**4 + k*i - 2\/7*i**5 + 0*i**2 + 0*i**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 3295.\nAnswer: -3295.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3\/2*p**2 + 950907\/2 - 1689*p = 0.\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113220300331 (base 4) to base 7\nAnswer: -103444654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-10))\/((-6)\/10). Let g = -464 - -463.7. Which is the smallest value? (a) -2 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.8 - 43. Let t = v + -6.714. What is t rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7))**(3\/8))**(-35)\/((c\/((c*(c\/(c*c**3*c))\/c)\/c)*c)\/c*c**(-5)*(c**0)**6) assuming c is positive.\nAnswer: c**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/15)*z*(z\/(z**(-10)*z*z*z))\/z assuming z is positive.\nAnswer: z**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose -49 = -q*c - 1. What is the remainder when (-1 + 62 - -5) + (-1 - -6) is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8328*w. Let y(d) = 60*d**2 + 2*d. Give y(u(b)).\nAnswer: 4161335040*b**2 - 16656*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let d be (-3 + k)\/(6\/(-12)). Suppose -3*r - 1 + 4 = 0. Let f(a) = -a + 1. Let h(g) = 3*g - 2. Give d*f(m) + r*h(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 172590 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(84) + sqrt(84) + sqrt(84) + -1*sqrt(84))\/sqrt(12)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-10) + 2)*5*378\/84?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681533676 + j**2 - 2*j**2 - 681533676.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*c + 139*c - 3 + 75 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/6 - (-115)\/(-69). Suppose 2*b - d - 229 = 0, -b - f*d = -0*d - 102. Let h = 140 - b. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 744.2102 nanograms?\nAnswer: 0.0007442102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 + (2 - 1). Let q = -67 + 69. Solve a = -q*h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 2*a + 6. Let d be v(-3). Let u(o) be the first derivative of 1 - o + 0*o**2 - 1\/3*o**d. Find the first derivative of u(h) wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/((-6)\/(-2) + 2019\/(-674)). Suppose 4*m = 4810 + s. Suppose 0 = 2*t + 375 - m. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.936586 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 383 - 1531\/4. Let b be (-6)\/9*9\/10. Sort o, b, 4\/17 in ascending order.\nAnswer: b, 4\/17, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31762\/45 + 3528\/5. What is the second smallest value in 11, z, 7.4?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193\/804 - -2\/201. Which is the second smallest value? (a) o (b) -1 (c) 2\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -6. Let x be (-16 - -19)*(-2)\/(-3). Suppose -1\/3*z**4 + 0*z - 1\/3*z**k + 0 + 0*z**x = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from durrzurwr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - y + 18. Let d be u(13). Let m = 333 + d. Solve m = -z - 4*z, 5*z = -5*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - 2*j**3 + 2*j**3 + (-21 + 21 - 18*j**2)*(j - j + 2*j**2) + (-j**3 - j + j)*(4*j - 2*j + j).\nAnswer: -40*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 43. Let v(u) = 10981*u - 1. Calculate v(y(k)).\nAnswer: -21962*k**2 - 472184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 667, 0, 2, 12, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 144*j**2 - 503*j - 179. Calculate q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103716247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/7 - 348*i**2\/7 + 1512*i + 60368 = 0. Calculate i.\nAnswer: -22, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = -2*f + 387. Which is the third biggest value? (a) 1\/14 (b) 5 (c) f (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -23*u**3 - 12057*u**2 - 2614*u + 3152. Calculate g(-524).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Let a be 1 + -2 - -5 - -2. Find o, given that 6*o**4 - 12*o**p + 9*o + 47*o**3 - 17*o**3 - 15*o**5 - 12*o - 12*o + a = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 264145 + -53076. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + -1*(sqrt(2) + -2)*4.\nAnswer: -4*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 47*z + 34 = 51*z, -3*p = 36*z - 126 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -59*z. Let i(o) = -19*o**2. Calculate i(y(r)).\nAnswer: -66139*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71293\/6 + 11883. What is the third biggest value in 0.06, -1, 16, u?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 826 by 5.\nAnswer: 826\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158.07 - 159. What is f rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1663, -1612, -1553, -1480, -1387, -1268, -1117?\n\"Answer: z**3 - 2*z**2 + 50*z - 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -195, -1153, -2751, -4995, -7891, -11445, -15663, -20551?\n\"Answer: -b**3 - 314*b**2 - 9*b + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 234260442 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, 7, 3, 2.4, 2\/13, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -60*v**2 + 1735*v + 145 = 0.\nAnswer: -1\/12, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1 = -5*p - 11, -5*a + 11 = -4*p. Solve y = -2*y + a*g, -4*y - 15 = -g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*s + 104 + 1415 = -2900 + 730 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9682.\nAnswer: 2, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 1004*a + 1000*a + 32 = 0, -5*w + 5*a = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 + 88*b - 30. Let t(g) = g**2 - 27*g - 131. Let s be t(-5). Calculate l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -127 = -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p**2 + 48 + 51 + 5*p**3 - 149 + 52 as t*p**3 + g*p**2 + u*p + y and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7 = -p, 0*z + 3*z + 4*p = -8. Suppose -z*j = -5*j + 47. List the prime factors of j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6, -480 in decreasing order.\nAnswer: 6, -0.4, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - -92) + -1 + (-5 - 16) - 53.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 134712*v**2 - 2*v + 1. Let l(k) = 5*k**2. Determine c(l(u)).\nAnswer: 3367800*u**4 - 10*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 8*o - 4. Suppose 4*t = 4 - 32. Let f be l(t). Let x(u) = 3*u**2 - 5*u + 3. What is the remainder when 26 is divided by x(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2964 and 16?\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9975, -98.7, -1\/2 in decreasing order.\nAnswer: 2\/9975, -1\/2, -98.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 11*x - 83. Calculate s(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2) + -1*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 14369*l**2\/2 - 10780*l - 7186.\nAnswer: (l - 2)*(l + 7186)*(2*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = 2*h. Let u = 43714888\/1305 - 33498. Let w = u - -787\/2610. Is w at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1100 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4\/2 - 6*j**3 - 3*j**2\/2 + 9*j.\nAnswer: -3*j*(j - 1)*(j + 2)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvbgrb. Give prob of picking 1 v, 1 g, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -9 - 11. Let x = -3 - l. Let f be (-17)\/(-34) + (-98)\/(-4)*1. Solve -2*y + 3*d = -14, -2*y - f = -x*y + 5*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -20, -2*y = 4*o - 6*y - 952. Let q = o - 647. Is (-4)\/(-10) - q\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 12*g**2 - g - 7. Give p(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*y + 6 = -1, 2*y = -4*p + 8. Let o(a) = 416*a - 19. Let s(q) = 415*q - 15. Let t(i) = -3*o(i) + 4*s(i). Is t(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 12*k**5 - 6*k**2 + 2230*k - 835. Find the first derivative of u(d) wrt d.\nAnswer: 240*d**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 5*x - 40, 2*q + 5*x + 106 = 151 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -33.5. Suppose 11*g - 8*g = -d - 9, -9 = -3*g + 5*d. Sort o, -10, -5, g in ascending order.\nAnswer: -10, -5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*u**4 - 599*u**2 + 599*u**2 + (3*u**2 - 3*u**2 + 2*u**3)*(-2*u + 2 - 2) - 9*u + 9*u - 21*u**4 as z*u**4 + y + i*u**2 + s*u + c*u**3 and give z.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 15*j**3 + 3*j**2 - 3*j - 6. Let q be p(-2). Let l = 141 + q. What is the remainder when l is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 12752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4039 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -0.03. Is 3 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 525*p - 5512. Calculate f(-11).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 242042261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i. Suppose 1 = -o - 5. Let m be o\/(-4)*12\/9. Let l(g) = m*g + 0*g - g. Determine l(x(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3 - 3*j + 0 + 0*j - 5*j**2. Let h = -15 - -10. Let u(q) = q**2 + q. Let t(k) = 7*k**2 + 3*k - 5. Let o(r) = t(r) + 2*u(r). Calculate h*v(m) - 3*o(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -34. Let w(a) = 10*a + 0*a**r - 6 + a**2 - 5*a. Let m be w(-7). Solve m = -2*g - 0*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.7 - -4. Let r = 0.3 - d. Let h = -12\/55 + 34\/55. Which is the nearest to r? (a) 3 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/6? (a) 3 (b) -0.2 (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 53*k**2 + 8*k + 2. Let c be l(-2). Solve 4*u + 214 - c = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 2363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 30*y - 77. Give j(6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 5. Let j be i(4). Let g be (-12)\/8*(-24)\/j. Find the third derivative of -4 - 3*w**2 + 4 + 4*w**2 - g*w**6 wrt w.\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, -0.3, 1\/6, 2 in descending order.\nAnswer: 11, 5, 2, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*f - 19 + 7, 3*g + 3*f + 12 = 0. List the prime factors of (-18)\/(-21)*(43 - (-3)\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2313*-40\nAnswer: -92520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(4\/(-7914)*-9897 + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7916 + -7892. Suppose -5*y + 244 = -4*v, y + 5*v - 139 = -2*y. What is the highest common divisor of x and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.051 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 3)*(5 - 4 - 5)*(12 - 106*j - 89*j + 242*j).\nAnswer: 1128*j + 288","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(2\/3)\/u*u*u\/u**(-35))**(-1\/30))**32 assuming u is positive.\nAnswer: u**(-1856\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (80\/6)\/((-1)\/(-8025)). Round v to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.5210423us?\nAnswer: 0.00000000001760465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.088 + -32.312. What is v rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x - 4 + 56. Let u be (5*x)\/((-9)\/492300). Round u to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6\/t*t**(-3)*(t*t**0)\/(t\/t**(-7)))**(5\/13))**(-1\/25) assuming t is positive.\nAnswer: t**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032408 - -189130940.\nAnswer: 189130939.967592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2. Let s(y) = -71*y. Let k(a) = -35*a. Let i(m) = -4*m - 27. Let t be i(-5). Let g(n) = t*k(n) + 3*s(n). What is r(g(x))?\nAnswer: 1024*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*n - v - v + 37, -4*n - 230*v - 97*v - 3974 = 35*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-6))\/(23\/(-69)). Sort 2, z, -3 in descending order.\nAnswer: 2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 != 1110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162491 and 47677?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0*m + 0 - 1\/120*m**5 + 1\/2*m**3 - m**2 + 0*m**4. Let n(j) be the first derivative of f(j). What is n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = 2*b. Let d = 4 - 2. What is the remainder when (d*-2)\/((-2)\/4) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-7)*l)*l**(-2\/11))**(-2\/19) assuming l is positive.\nAnswer: l**(-128\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 13950*z**5\/13 - 86854*z**4\/13 - 1166814*z**3\/13 + 6545518*z**2\/13 - 1420320*z\/13 + 5400\/13 = 0.\nAnswer: -9, 3\/775, 2\/9, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**3 + 2 + 8*n**3 - 63604*n**2 - 22*n**3 + 63604*n**2 - 2.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 113*i**4\/6 + 271*i**3\/6 - 293*i. What is the second derivative of g(d) wrt d?\nAnswer: 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z**2 - 3*z. Let l be v(3). Suppose 5*h - 158 = -4*a, -5*a - h + 6*h + 175 = l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 - 8) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-15) + 4\/10. Suppose -w*m = -8*m + 106. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11628 and 1224?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6 - 36 + 7 - 6*z**2 - 28 + 5*z**2 + 17*z. Let j be l(11). Which is greater: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, r: 5}. What is prob of sequence ppp?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 1, t: 3, x: 9, l: 1, a: 2}. What is prob of picking 1 x and 1 a?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/51 + -155*2\/6. Let z = -48 - o. Suppose z*y - 335 = 3*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*w + 34*w + 25*w)*(0 + 1 - 3)*(2*w - 3*w + 0*w) to a*w**2 + l + g*w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29376 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82145755 or -82145752?\nAnswer: -82145752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5352 + -2266. Does 35 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/17, 106157, -2\/5, -1\/7 in descending order.\nAnswer: 106157, 4\/17, -1\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.9 and -7?\nAnswer: -34.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 5*j**2 - 2*j - 7. Suppose 3*u = 2*u + 2. Suppose 2*g = -4*l + u, g + 2 + 2 = 3*l. Suppose 2*b + l = -3, -2*p + 5*b = 0. Give t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsiddipiiiisis. Give prob of picking 1 i, 1 s, and 1 p.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 330\/(-8) + 6\/(-8). Let n be (16\/6)\/((-7)\/q*-4). Which is the smallest value? (a) -0.8 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3441 and 558.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33588, 34009, 34710, 35691, 36952, 38493, 40314?\nAnswer: 42415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*j - 12*j + 3*j**2 - 21*j - 129.\nAnswer: 3*j**2 + j - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 2 t when four letters picked without replacement from ttbgbggtt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**3 + 5*j**2 - 5*j - 53. Let c(o) = -23*o**3 - 16*o**2 + 16*o + 159. Let r(g) = 4*c(g) + 13*n(g). Determine r(0).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370 and 20?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.36, 0, 374, 0.3, 3\/2, 0.52?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-96))\/(5\/(-60)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980\/3150*(-27)\/21.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:25 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13)*-1 - sqrt(13))*3.\nAnswer: -6*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*c**4 - 2*c**2*g + 48*c*g + 17224*g wrt c?\nAnswer: 188*c**3 - 4*c*g + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 132*u - 133*u + 3. Suppose j + 6 = -l + 2*l, 5*j + 14 = -u*l. Factor -6 + 12 - l + 4*d**2 + d + 7*d.\nAnswer: 4*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 9*r**2 + 9*r + 11. Let v be h(-8). Suppose -v*l - 9 = -6*l. Suppose 0 = -l*b - 3*z + 24, 0 = b + z + 2*z - 2. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = 10*r - 95 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2836 and (9 + -4)*144\/60.\nAnswer: 8508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-612)*4)\/(640\/(-1920))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -28. Suppose 4*s - 3*o = o + 12, h = 3*s - 5*o. What is the smallest common multiple of s and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekw when three letters picked without replacement from kwek.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 656 and 316807?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -7 - 5)*6\/90. Let y be -1*1\/((-3)\/9). Let m be (1\/(-2))\/(y\/(-2)). What is the fourth smallest value in 4, 3\/7, l, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3120749 and 2483?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35612486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/(1\/3). Solve 13 = -5*z - 4*f, 0 = -2*z + 4*f - d + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 4*r**2 - 21*r**3 - 3*r**2 + 25*r**3 + r. Let h be d(1). Factor -2*f + f + 4*f**h - 5*f**2 - 3*f**4 + f**3 + 4*f.\nAnswer: f*(f - 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**10\/h*h*h**(-2\/13)*h**9*h\/h**31 assuming h is positive.\nAnswer: h**(-145\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1968438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10\/(-6)*(-150)\/125 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -58340459 and -5.\nAnswer: -58340464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 319 + 586. Let d = q - 121. Suppose -2*p + d = 4*t, -3*t - t + 3*p + 60 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 128*u + 5. Let w be q(2). Suppose -w + 240 = -3*z. Calculate the highest common divisor of z and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3953\/(-102778)*1\/2.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-23))\/((-20)\/(-260))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1, 5 in ascending order.\nAnswer: -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 23*n = 48 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 105200 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n + 7. Let j be a(1). Suppose -5 = t, -5*t - 34 = -5*y + 41. Let b = y - j. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4387, 4411, 4451, 4513, 4603, 4727, 4891?\n\"Answer: r**3 + 2*r**2 + 11*r + 4373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-350)\/(-15) - 6\/(-9). Let t = -0.602 + 0.402. What is the third biggest value in t, -3, -4, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 110.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 2. Let b be ((-15)\/12)\/((-11)\/(-44)). Suppose 6 = -2*n + 18. Let l(c) = c + 2 - n + 5. What is b*d(o) - 7*l(o)?\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 6. Let h be q(7). Suppose 5*l + 4 = -2*v, 4*v + h = -5*l - 0*v. Solve l = 4*x - 0 + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8518, 0.29, -1\/6 in decreasing order.\nAnswer: 0.29, 3\/8518, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22699 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -663, -988, -1311?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 1045, 1498, 1969, 2458?\nAnswer: 2965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1693\/2 + -834. Let b = 1055\/3 - 11668\/33. Calculate the common denominator of b and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5502 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(243) + 3*(sqrt(243) + sqrt(243)*-2) - (2 + 5*(sqrt(243) + sqrt(243) + -4*sqrt(243) + sqrt(243)) + sqrt(243))) + -1)**2.\nAnswer: -252*sqrt(3) + 1021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*q**2 - 407*q**2 + 1370*q**2 + 2)*(-3*q + 2 - 2).\nAnswer: -3153*q**3 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 114 - 183 = 0. Suppose 16*n = -f + 275. What is the remainder when 40 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -742*o**6\/15 - 2971*o**5\/30 - 57*o**2 + o. What is the third derivative of a(z) wrt z?\nAnswer: -35616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 + 0 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/187 (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 42630404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19166004 and 13728.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) - ((sqrt(288) - (sqrt(288) + -3)) + 4) - (sqrt(288) + (sqrt(288) - (-2 + sqrt(288))))**2*5.\nAnswer: -1467 - 228*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8*h = -54. Let u be (h\/(-15))\/((-10)\/150). Let w(q) = -q - q**3 + 8 - u - 11 - 7*q**2. What is w(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*t**2 - 191*h*t**2 + 118*h - 72316*t**2 wrt h.\nAnswer: 4*h*t**2 - 191*t**2 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 19854278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/87 or -1?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 4\/5*g**5 - 492\/5*g**3 + 0*g + 248\/5*g**2 + 48*g**4 = 0. Calculate g.\nAnswer: -62, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318 = 23*s + 30*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-638)\/121 + 5)\/(18 + (-148148)\/8228).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -32*j + 24. Let i(c) = -13*c + 10. Let l(h) = 12*i(h) - 5*n(h). Let d(w) = 4*w + 2. Let p(o) = -o + 1. Let q(k) = d(k) - 2*p(k). What is q(l(y))?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-5)\/30.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**3 + 3*q**2 + 4*q + 3. Let t be a(-2). Let o = t + 100. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-13 - (10 + -65 - -25)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 1941 + 52*l**2 + 1943 + l**4 + 4*l**4 - 4*l**4 as q*l**2 + p*l + s*l**4 + a*l**3 + c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 21. Let k(l) = l**2 + 23*l + 15. Suppose -23 = 5*y - 4*y. What is the remainder when b is divided by k(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857042117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329810 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 36258 divided by 25\nAnswer: 36258\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 45 and 39112.\nAnswer: 39157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/5))**(-35)\/(p*p\/(p*((p*p**2)\/p)\/p)*p)**(7\/2))**(2\/9) assuming p is positive.\nAnswer: p**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.95871 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 + 26.87. Let f = o - 29. Let k = 6 + -6.2. Which is the smallest value? (a) k (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -5, -1\/6, 3, -3\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*r + 1976 = -123*r + 516*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84) + sqrt(84)*2*-2))))\/(sqrt(84)\/sqrt(28)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -87688, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32536711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 4, 613, -0.07, 0.207, -2?\nAnswer: 0.207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*m + 258*m = 630. What is the least common multiple of 635 and m?\nAnswer: 5715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1129462120 divided by 4.\nAnswer: 282365530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2589 + 366?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(190) - -1*sqrt(190)) + sqrt(190) - -4*sqrt(190)*5)\/(sqrt(10)*-4*2 - (sqrt(640) + (3*sqrt(640) - sqrt(640)))).\nAnswer: -25*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*-1*3)\/(1*1*sqrt(7)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -720 (base 8) to base 7.\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/w**(-1\/45)))\/w*w\/(w**(3\/2)*w) assuming w is positive.\nAnswer: w**(-317\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:26 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*q = 4, -24 = 2*w - 4*q - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1423 to 3 decimal places.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 3508*h**2 - 770780*h + 767276.\nAnswer: -4*(h - 443)*(h - 433)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 46, 4, 8, 0 in decreasing order.\nAnswer: 46, 8, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 6}. What is prob of picking 2 n and 1 k?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -10*r**4\/3 + 56*r**3\/3 + 8*r**2 = 0.\nAnswer: -2\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + -1*(sqrt(45) - (sqrt(45) + sqrt(45) + sqrt(180)\/sqrt(4))))\/(3*sqrt(144)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20\/9 (b) -58 (c) -3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -7, -2 in decreasing order.\nAnswer: 4, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3263*h + 29480 = 1789*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(3 + sqrt(144)\/(sqrt(24)\/sqrt(2))) + -2.\nAnswer: -48*sqrt(3) - 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*x - 107, -r - 3*x = 2*r - 123. Suppose 0*c - r = -3*a + 2*c, -2*c - 14 = -a. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/98360 and -53\/31967?\nAnswer: 1278680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 9 = 55. Let m be (x\/(-3))\/(22\/33). Solve -n = a - 5*n - m, -2 = 3*a - 2*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.282, -1\/3, -1.25, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169395959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 4*a - 4. Let h be z(-4). Let n be (-741)\/3289 + h\/(-22). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9472*f**3 - 7*f**2 - 11*f - 11. Let h be c(-8). Suppose 15*v + h = -685707. Round v to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/13*(114\/9)\/((-10)\/(-15))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u - 1. Let k be x(-1). Let y = 19 + -14. Suppose 2 = y*r + q, k*r = 2*r - q + 1. Which is bigger: r or -0.9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -10. Suppose -k*n - 10 = 0, -l + n = -2*n - 6. Suppose l = -2*t + 6*t - 32. Calculate the highest common divisor of 20 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*n - 0*o - 4, 4*n = -o + 6. Solve -n*b = -b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k + 343 - 343.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*((-4)\/(-2))\/(-6))\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -44*t**4 + 8*t**3 - 12*t**2 - t - 3925. Let l(o) = -o**4 - o**3 + o**2 - 12. Let c(z) = -10*l(z) - x(z). Find the second derivative of c(i) wrt i.\nAnswer: 648*i**2 + 12*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12356392*r**3 + 16999653*r wrt r.\nAnswer: 74138352*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sss. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1\/(-2)*10. Suppose 12 = -4*k + 5*p, -k + c*p = 6 + 12. What is the third derivative of -2*x**4 + 12*x**k - 4*x**4 + 7*x**4 wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6011, 6027, 6053, 6089, 6135, 6191?\nAnswer: 6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153912213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/4 - 2277*g**2\/4 + 5178*g - 4608.\nAnswer: -3*(g - 8)*(g - 1)*(g + 768)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -552 or 4636?\nAnswer: 4636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956052?\nAnswer: 2, 7, 69859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8 + 21*t**2 + 9*t**2 + 40*t**4 - 8 wrt t.\nAnswer: 960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 73 + 13 = 0. Suppose 4*t - 9 = 5*v, -2*v + t = -0*v + 6. What is the third biggest value in p, v, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013507916 plus 17.3?\nAnswer: 17.286492084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6\/33 - (-1228)\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220 a factor of 1010339400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754\/816*(-40)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 1 + m - 3*m**3 - m**3. Let x(l) be the third derivative of 0*l + 1\/120*l**6 + 8 + 1\/24*l**4 + 0*l**3 - 7*l**2 + 0*l**5. Give q(b) + x(b).\nAnswer: -2*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 12 = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5612 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81342 = 3*q + 3*j, -15*q + 11*q - 2*j = -108458. Is 85 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77686033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 986433413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 155, 46, -81, -232, -413, -630?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409916.\nAnswer: 2, 13, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 f, 1 r, and 1 p when four letters picked without replacement from {g: 3, f: 1, r: 5, p: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -132. Suppose -3*u = 3*z - 1206, -z + 2*u + 3*u + 426 = 0. Suppose -k = 5*g - z. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 + 90*r**2 + 966*r - 1058 = 0 for r.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 4*s - 4*s)*(8795*s**2 - 8795*s**2 - 59*s**3) + 2*s**4 - 2*s - 3 + 3.\nAnswer: -175*s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7008 - 25167 - 14923 = 973*k for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j. Suppose 12*r - 8*r = a - 733, 177 = -r - a. Let n = -180 - r. Is n greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 372789 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + u - 3279 = 6*u, 4*u + 4929 = 3*z. Suppose -4*m - 299 + z = 0. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(637)*2 + -3)*-5*1)**2.\nAnswer: -319625 + 10500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15395971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136517, 1092305, 3686577, 8738573, 17067533, 29492697, 46833305, 69908597?\nAnswer: 99537813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*m - 2995 - 2810 = 0, -5802 = -j - 2*m. List the prime factors of j.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*g**2 - 49*g**2 + g**2 to the form c + l*g + t*g**2 and give t.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 321*a - 1322. What is the units digit of y(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 8. Let k(y) = -16*y**3 - y**2 - y. Let r be k(-1). Calculate the highest common divisor of g and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) -3 (c) -6 (d) 4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/(3\/(-54)). Suppose 3*r = g*r - 27. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 792170 = -4*q, -3*h - q + 811790 = -376444. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28704143 + 22?\nAnswer: 28704165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 409606 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) + 1)*-6 - (sqrt(539) + (sqrt(539) - (sqrt(539) + -2 + 1*sqrt(539) + sqrt(539) - sqrt(539)))))*-6*-4)**2*2*-2.\nAnswer: -44854272 - 1548288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 404 + 442 = 10*x, x - 7*h = -11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + (-4)\/6. Let b be (0 - -2)*(g - -2). Suppose 2*f + 6 = 0, -2*h + 6*f + 24 = b*f. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 10*y**2 + 11*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 5*j + 8. Let q(d) = 2*d + 1. Let m be q(-1). Let l(h) = -h + 1. Let b(n) = m*g(n) + 6*l(n). Does 15 divide b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 71, -5\/4, -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = 0, 0 = -39*y + 43*y + g - 78074. What are the prime factors of y?\nAnswer: 29, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250757971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7188753?\nAnswer: 3, 11, 13, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**3\/6 - k**2\/2 - 2*k. Let w(l) = 0 + 0 - 2*l**3 + 5*l + 1 + 4. What is -6*h(i) - w(i)?\nAnswer: 2*i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2, 27, 1.279?\nAnswer: 1.279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.5, 4, 39, -3789?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x + 60. Let p be 20\/x*(88 - -2). Is ((-12)\/(-9))\/((-8)\/p) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/114 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 1. What is q(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 561465?\nAnswer: 13\/561465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*b**3 - 39*b**2*m - 28*b**2 + 6*b - 285680*m wrt b?\nAnswer: 486*b - 78*m - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)*(f*(((f*f**(-1\/4))\/f)\/f)\/f*f)\/f)**(6\/13))**(12\/5) assuming f is positive.\nAnswer: f**(-378\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (964\/(-15665))\/(4\/10)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.1 - 33.1. Which is the closest to -1? (a) 1\/2 (b) 1\/3 (c) x (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*j - 2125, 3*j + 19*r - 18*r = 1275. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -1. Let s = -503.94 + 504. What is the third smallest value in b, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*y - 109*y + 143457*y**2 + 51*y - 143594*y**2.\nAnswer: -137*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.69493ml to litres.\nAnswer: 0.07669493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {l: 2, n: 1, o: 1, z: 1, w: 2, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v**3 - 2*v**2 - 2*v - 1. Let d be ((-10)\/15)\/((-1)\/(-3)). Let a be s(d). What is the highest common divisor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 262434 and 116790?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**2 - 2*a - 2. Let p(v) = v**3 - 3*v**2 - 32*v + 33. Let r be p(7). Let j(w) = w**2 - 5 - w + 14*w**2 - 4*w. What is r*k(f) - 2*j(f)?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = -q, 0 = -0*t + 5*t + 15. Let m be -10 + 9 + 1*(q + 3). Calculate the greatest common factor of m and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 22, 2\/3, -2\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 1 p when three letters picked without replacement from {r: 1, h: 1, p: 5, g: 7, y: 2}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -2\/3, -0.4, -170.68?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y + 5429 = -3*s, -y + 1091 = 2*s. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 3)\/(2\/(-5)). Suppose k*s - 39 = 5*u + 46, 5*u + 7 = -s. Let o = s - -9. What is the remainder when 42 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108\/7 or 15?\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 323100 and 323100?\nAnswer: 323100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(1235\/52))\/2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157*d**4 + 160.\nAnswer: -628*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.066 - -9.934. Let s = 14.122 - 23.97. Let n = f + s. Round n to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 32862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -52.2. Let b = t + 11. Which is greater: 6 or b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 4}. What is prob of sequence pss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 4*p**2 + 130*p - 269. Give i(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000486 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3120.8877 hours to weeks.\nAnswer: 18.5767125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(252)*1 + -5 - sqrt(252)) + 2 + -1)*1)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**2 - 6\/5*m**4 - 4\/3*m**3 + 0*m + 2\/15*m**5 + 0.\nAnswer: 2*m**3*(m - 10)*(m + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105780 less than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*((-2*f + 0*f + 4*f)*(4*f + f - 6*f) - 3*f**2 + 2*f - 2*f + 7*f**2 - 4*f**2 + 3*f**2) to the form x*f**2 + s + g*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (78\/(-390) - (-7)\/10)\/((-3)\/(-2238)) is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 4*r + 58, -p + 15 = -10196*r + 10195*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/(-1872))\/((-2)\/18)*3*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -8. Let t(k) = k**2 + 9*k - 5. Let s be t(x). What is the tens digit of 11\/s*(1 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a25849 (base 14) to base 9\nAnswer: -11257010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 47*a**2 - 84*a - 5. Calculate the remainder when o(20) is divided by 103.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 250.587+-0.7\nAnswer: 249.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-9))\/((-2)\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 5*b - 5*b + (2*b + 2*b - 5*b)*(b + 7 - 7) + (b - 3*b + b)*(3 - b - 3).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57\/65 + 51\/13. Calculate the common denominator of w and -65\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5766*j - 5765*j - 3*w - 34, 6*j - j = w + 114 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, 157\/8 in decreasing order.\nAnswer: 21, 157\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -17*n**4\/4 - n**3\/3 - n**2\/2 + 1. Let y be f(-1). What is the highest common factor of 34 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let t be -1 + (2 - -2 - 3). Let s = t + y. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-5)\/w)\/(w**(-2)\/w*w))\/(w\/w**0)**(-1\/11))\/(w**(2\/3)*((w*w\/(w**(1\/7)\/w)*w)\/w)\/w*(w*w**(-1\/2))**(-7)) assuming w is positive.\nAnswer: w**(-1355\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 3*r**2 + 2*r. Let i(l) = -l**3 - l**2 - l. Let u(z) = -762*z - 5330. Let x be u(-7). Calculate x*i(b) - a(b).\nAnswer: -2*b**3 - b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.98 - -0.93. What is the closest to 0 in -0.1, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-18))\/(19*13\/364).\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*h + 30, 2*t + 2*h - 10 = t. Suppose 2*o + 4 = t. Suppose 0 = 4*n - 4*c, -2*n = -0*n + o*c - 20. Let v(q) = q**2 - 4*q + 3. Give v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -813*w**3 + 431*w**2 - 431*w**2 + (-3 + 3 - 4*w)*(2*w**2 - 1 + 1).\nAnswer: -821*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 7*z**2 - 3*z - 2. Let j be w(3). Let t = -591 - -590. Sort -2\/11, t, -3, j in ascending order.\nAnswer: -3, j, t, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1140055.\nAnswer: 456022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.12137 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -1. Suppose -5*i + 0*i = 4*c - 374, 2*c - 4*i = 174. Calculate the greatest common factor of c and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512.4064t to nanograms.\nAnswer: 512406400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -24*s + 1\/12*s**4 - 5*s**2 + 0*s**3 + 0. Let m(u) = 2*u**2. Give m(q(x)).\nAnswer: 2*x**4 - 40*x**2 + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -343, -729, -1241, -1873?\nAnswer: -2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 57\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66265740 and 216220.\nAnswer: 1259049060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1522607 + -4?\nAnswer: 1522603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -14*p + 61. Let u be t(4). What is the second derivative of -63*r**5 + 38*r**u + 10*r + 57*r**5 wrt r?\nAnswer: 640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -3\/5, 3\/52 in decreasing order.\nAnswer: 4, 0.4, 3\/52, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -4\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*z + 4447 = 0, -5*x = 3*z - 0*z - 5605. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2. Suppose -2*k = 2*d + 334, -k + 5*k = 5*d - 623. Let q = k - -161. Let u(n) = -5*n**3 - 6*n**2. Determine q*u(c) - 6*x(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -799*z**2 + 312.\nAnswer: -1598*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {f: 5, i: 2, z: 8, e: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 m when three letters picked without replacement from mxhksmsd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1117.2, 7, 312 in descending order.\nAnswer: 312, 7, -2, -1117.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6729819 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1092 - 654. Calculate the lowest common multiple of 30 and (-3)\/7 + z\/42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q + 81. Let r be h(-17). Suppose -2*i = 2, z - r - 230 = -5*i. What are the prime factors of z?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57912 by -126.\nAnswer: 9652\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 7, j: 2}. What is prob of sequence jj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*x**3 - x**2 + x**3 - 4*x**3 to the form k*x**3 + m*x**2 + l + b*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 342\/(-24) + 1\/4. Is ((-3)\/w)\/((-4)\/(-1068)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2.7, 4, 0.13?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 984b77?\nAnswer: -984b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -3 (c) -0.07 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*u + 13*u**3 - 121*u - 10*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13.8 (b) -5 (c) 2.47477\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + 2*2*sqrt(130))\/(sqrt(10)*2*6) - (4 + (1 + sqrt(13))**2*-3)*-1.\nAnswer: -38 - 67*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -786272*z**4 - 2*z**3 - z**2 + 44*z + 13198.\nAnswer: -9435264*z**2 - 12*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*y - 1716305, -120*y + 116*y + 1373044 = 2*t. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 + 4*l**2 + 7*l + 1. Let n(w) = w**3 + w**2 - w + 1. Let c(y) = 2*n(y) + v(y). Determine c(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2881*w**3 - 6*w**2 + 4*w - 2. Let q(d) = -867181*d**3 - 1809*d**2 + 1206*d - 603. Give 2*q(i) - 603*z(i).\nAnswer: 2881*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/1193 and -39\/2386?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -5 (c) -0.6 (d) -0.1 (e) -0.311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6))**(-41))**(-13) assuming k is positive.\nAnswer: k**(-2665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:13 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**18)**(-3\/4) assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 3 - 6*s + 2*s)*(356*s + 276*s + 1615*s) as y*s + c + l*s**2 and give y.\nAnswer: -6741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 9*w**2 + 71*w + 1. Determine g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -284591 from -21469.6.\nAnswer: 263121.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*h + h, 2*h = 2*q + 12. Let l(j) = 25*j + 195. Let p be l(q). Put -2, 0, p, 1\/5 in ascending order.\nAnswer: -2, 0, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 2*u + 1 - 2 + 0. Let y = 0 + 2. Let w be b(y). Which is smaller: -2\/19 or w?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -75*j**2\/2 + 545. Let f(a) = 5*a**2. Give f(y(v)).\nAnswer: 28125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27.9444630086 and -0.2.\nAnswer: 27.7444630086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 14. Does 12 divide (-732)\/(-8) + a\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452 - 6 - 2*i**3 - 7*i + 7*i + 109*i**2.\nAnswer: -2*i**3 + 109*i**2 + 446","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5757974 a multiple of 969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110915919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m + 8. Suppose 0 = -m*s - 2, 0*r + 5*r - 2*s = 217. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2\/19*n**5 + 14\/19*n**4 - 12\/19*n**3 + 0 - 64\/19*n**2 + 64\/19*n = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31882, -63769, -95660, -127555, -159454, -191357?\nAnswer: -223264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 884 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*k - x - x, -x + 1 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 105 in descending order.\nAnswer: 105, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = m + 3*m + 3*n, 4*m - 30 = n. Let w(l) = 5*l + l - m*l - l. Let h(f) = -3*f**2. Give h(w(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-3*u + 4*u + 0*u) + (0*u - 12*u - 4*u - 4*u + u + 4*u + (1 - 1 - 2*u)*(0 + 1 + 0) - 3 + 3 + 2*u - u + 2*u + 0*u)*(3 + 4 - 5).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 1009705*v + 4038900.\nAnswer: -5*(v - 4)*(v + 201945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27824538 and 413826.\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 154.9 times 0.3\nAnswer: 46.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + 9. Let s = m - 18. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 - 6?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 55. Let f(n) = -12*n**2 + 21*n - 1 - 16*n**2 + 27*n**k. Does 19 divide f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -10, -5, 4\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -898199 or -898208?\nAnswer: -898199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 - 6*w - 6. Let m be s(-4). Let d(i) = 2*i**2 + i**m + 10 + 8*i - 2*i**2. What is the remainder when 5 is divided by d(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -496 - -499. Suppose 0 = c - n - 8, 5*n + 23 - 63 = -g*c. Let q(o) = 2*o - 1. Give q(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 2*p**2 - 6*p - 23. Let c(s) = 4*s**3 + 3*s**2 + 6*s + 28. Let d(k) = -4*c(k) - 5*i(k). Determine d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((1*sqrt(392))\/sqrt(8))\/sqrt(7) - (-1 + sqrt(28)\/sqrt(4) - (5 + sqrt(35)\/sqrt(5)))))**2.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3*((sqrt(2205) - (sqrt(2205) - -2*sqrt(2205))) + sqrt(2205))*4)\/((sqrt(900) - 6*-1*sqrt(900)) + 5*(sqrt(900) + sqrt(900)*1 + sqrt(900))))**2.\nAnswer: -441\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 3*f**2 + 4*f - 3. Let t be k(-4). Let b = 43 - 30. What are the prime factors of (6*t\/(-2))\/(b\/78)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 - f + 56 - 40 in the form u + v*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.705 - 0.88. Let v = -0.8250000431 + r. Round v to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2285 = -92*v - 537. What is the remainder when 455 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -106*j**2 - 2*j - 4. Let c(v) = 3*v**2 - 1. What is 12*c(r) - 3*k(r)?\nAnswer: 354*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*n + 176, 52 = 3*n - 5*o - 60. Calculate the highest common factor of n and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5550000 rounded to the nearest 100000?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193552668.\nAnswer: 2, 3, 547, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 41 = 2*t - 5*u, -5*u = 3*t + 13. Suppose 0 = -t*b + 2*b + 80. Suppose -6*z + b = -32. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751905.\nAnswer: 3, 5, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 665*g - 252. Let w be f(1). Suppose -4*v - 3*o = -o - 1646, o - 1651 = -4*v. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 10?\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/398 - -102\/199. Let f be 14\/42*1*6. Let -v*l**f - 1\/2 + l = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9034750387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 146944.8 millilitres?\nAnswer: 146.9448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 27*b**2 + 2*b - 2. Let h(l) = -730*l**2 - 55*l + 55. Let j(s) = -6*h(s) - 165*w(s). Let q(y) = -3*y**2. Calculate q(j(x)).\nAnswer: -16875*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1038*u**3 + 2744*u**2.\nAnswer: -6228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2. Let x = 412 - 242. Let t(d) = x*d - 170*d - 25*d**2. Calculate o(t(c)).\nAnswer: -625*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -47\/12459?\nAnswer: -47\/12459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 1. Let v(w) be the first derivative of 2*w**3 - 4*w**2 + 5*w - 11. Let s(n) = -v(n) - 5*z(n). Find j, given that s(j) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from gabigqgzbiiqai.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*d = 11, -21 = 2*r + 360*d - 357*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 6\/((-300)\/365))*(-7 + 3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2445117, -4890496, -7335875?\n\"Answer: -2445379*l + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b. Let g(v) be the second derivative of -5*v**3\/6 + 6*v. Determine g(a(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-1)\/1*30. Suppose 196 = 11*m - 7*m. Let b = m - v. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 111837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/20561704 and 63\/16.\nAnswer: 41123408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 319 - 312. Calculate the remainder when 172 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44 (b) 1\/5 (c) -3\/4 (d) 1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h - 10*h**3 - 327 + 0*h + 176*h**4 + 5*h - h**3 + 8*h**3 wrt h?\nAnswer: 2112*h**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215 - -247. Let i be -1 - (-1 + -1 - 1). Suppose -o = -3, i*t - o = 23 - 4. What is the remainder when p is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let t(b) = -604*b**2 + 141017*b. Determine o(t(g)).\nAnswer: 604*g**2 - 141017*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*n + 31. Suppose w - 9 = g, -3*g - n = -w - 6. What is the remainder when 15 is divided by 2\/(g\/4)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 2, y: 2, m: 2, t: 5, u: 2}. Give prob of picking 1 y and 1 m.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y = -113 + 17 - 44. Let z(a) = -a**3 + 5*a**2 - 4*a + 2. Let j be z(4). Let x = j - 2. Solve -m + y*m - 20 = x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 b when three letters picked without replacement from {x: 3, b: 2, r: 1, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 3 + 42 + -51?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 99?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -209*u + 205*u + 13 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9501 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -51131154 (base 6) to base 9\nAnswer: -2662347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6206 and 272513.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmzmx. What is prob of picking 1 x and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1291*v + 657*v + 652*v - 3 to t + m*v and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195.6 - -191.6. Is -19 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39648\/944 - (40 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007994182 rounded to six decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 5*(1*sqrt(133) + sqrt(133)) - ((sqrt(133) - 2*-1*sqrt(133)) + sqrt(133)))\/((sqrt(168) + -2*sqrt(168))\/(sqrt(600)*-2 - sqrt(6))))**2 + 5.\nAnswer: 410591\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 28. Calculate o(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*q + 2219 = -1525 - 2486 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27516*o**2*u**5*z - 2*o**2*u**2*z - 2*o**2*u**2 - 492*o**2*u*z - 3*o**2*u - o*u*z wrt u.\nAnswer: 1650960*o**2*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 13. Factor 7*a**3 - 18*a - 2*a**2 + 8*a - 5*a**d - 6.\nAnswer: 2*(a - 3)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 - 24*v + 3. Suppose -6*o = -10*o + 32. Let s be h(o). What is the highest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -4)*((-40)\/(-12) - -2). Let t = 47 - v. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 3. Let a(i) = i - 1. Let o(t) = 3*a(t) + m(t). Let n(v) = -5 + v + 5. Calculate o(n(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2530568003?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3224370572.\nAnswer: 2, 317, 2542879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1136280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.26 + -11.24. Let j = v - -11.500445. Round j to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j\/(j\/(j*j**(-1\/2)\/j))))\/j*j)**(-16)\/(j**(-1)*j\/((j*j**(-9)\/j)\/j)) assuming j is positive.\nAnswer: j**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 481, 484, 485, 484?\n\"Answer: -n**2 + 6*n + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -290 in -1\/4, -0.59, 4\/3?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*((n*n**16*n)\/n)\/n)*n*n*(n*n**(-4\/3)*n)\/n*n*n*n)**(-1\/9))**(-44))**(-5\/7) assuming n is positive.\nAnswer: n**(7480\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -9*o - 5*b, 2*o + 10615 = -4*b + 10617 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 2*o**2 - 3*o)*(-3616*o - 2328190 + 2328190 + (-2 + 6 - 3)*(4*o + 0*o - 3*o)) + 2*o**3 + 2 - 2 as v*o**2 + c*o**3 + s*o + x and give c.\nAnswer: -7228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -500*y - 2848. Does 264 divide j(-68)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzlll. What is prob of sequence lzl?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -158092 and 410.\nAnswer: -64817720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-38)\/4)\/((-2)\/24)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -55, -113, -189, -277?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcrwpzpzzxzppcxpz. What is prob of sequence zp?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106\/998653 or 1?\nAnswer: -106\/998653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/24*(-1)\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -60402 and -60400 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 0*n**2 + 4*n**2 + (3 + 2 - 10)*(1 + 0 + 0)*(-n**2 - n**2 + 0*n + n).\nAnswer: 12*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (1 + 0 - -18). Suppose y - d = -7. Suppose 2*k - 37 = -y. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9))**(2\/29)*(k\/(k**13\/k*k))\/k**(13\/5) assuming k is positive.\nAnswer: k**(-19073\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.9, 3, -2\/9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbttbsuuubgb. Give prob of picking 1 r, 1 b, 1 u, and 1 s.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2968 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 2*b**3\/3 - 5*b**2\/2 - 8*b + 3. Let f be d(4). Solve -5*k + f = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**3 - 7*y**2 + 2*y - 1. Suppose -10*q + 12*q - 12 = 0. Let a(l) = l**3. Let r(i) = q*a(i) + w(i). What is the tens digit of r(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 17708.6, -0.4, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3103626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-18)*-1*(-4)\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/14 + -3 - 3\/7. Suppose 5*n + 3*o - 1717 = u, -3*n + o = 4*o - 1035. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245)*1)\/sqrt(7))\/(sqrt(7) + (sqrt(70)*1)\/sqrt(10)))**2 + (1*sqrt(160))\/((sqrt(8) + 2*sqrt(8))*6).\nAnswer: sqrt(5)\/9 + 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((3\/2)\/3). Let k = -9 + 5. Let d be (3 - (-12)\/k)\/(-1). Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20157 is divided by 280?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073768252 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 279\/17 + -3593\/221. Which is the nearest to -1\/13? (a) 0.1 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/18 and 113\/29490.\nAnswer: 88470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -396379 divided by 16?\nAnswer: -396379\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 32)\/((-42)\/56). Suppose 17*i = -2*k + 16*i + f, 2*i = -2*k + 44. Calculate the least common multiple of k and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olmt when four letters picked without replacement from {t: 1, l: 2, e: 2, o: 7, n: 6, m: 1}.\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -154922, -311455, -467986, -624515?\n\"Answer: g**2 - 156536*g + 1613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -21*i + 2. Let u be a(-1). Let l = u - 34. Let o = -6 - l. Solve -5*c - 2*q = q, o*c = -q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1327 + l + l**2 - 728 - 593*l**3 - 594 to the form v*l + d*l**3 + w*l**2 + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155 - -142. Which is smaller: m or -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5360230 and 60?\nAnswer: 32161380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 1\/12*f**5 - 7\/6*f**3 - 25*f**2 + 0 + 0*f + 1\/24*f**4 - 1\/120*f**6. Determine i(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -33*p + 508. Let y be 63\/p*32\/24. Solve 0 = 3*m - y*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1078\/(-360) + 3). Let j = o + -85. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43468 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1040213 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -20. Let l be (c + 1 - 4) + 62. Let x = -46 + l. Calculate the remainder when 29 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1727)\/(-471) + (-71732)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 4. Let s = -2 - j. What is s rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.22 + 50. What is g rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04463 - -214736.245.\nAnswer: 214736.20037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u - 2090 = -2*l, 3*l = -2*u + 836. What is the remainder when u is divided by 122?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 divided by 362672\nAnswer: -113\/362672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 - (-8)\/(-12). Let z be p*(12\/(-4) - -4). Let r = 4 - z. Solve -4*v + r*v = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 - -157. Suppose -3*j + 2 = -1. Let c be (30\/3)\/(2\/j). Put k, -5, c in increasing order.\nAnswer: -5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106\/7 + 797\/42. Calculate the common denominator of -17 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = i + 15, i - 92*k + 7 = -96*k. Put i, 0.7, 7, 2\/13 in descending order.\nAnswer: 7, i, 0.7, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 745331775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -905 + 904.7. Let u(f) = f - 2. Let m be u(0). Which is the closest to 0.2? (a) 2\/5 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*x - 3*o, 3*x + 3*o = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -134*r + 1549. Is p(-3) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -33*y. Let d(m) = -9*m + 1. Let t(h) = -3*d(h) + u(h). Calculate t(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f - 61. Let d be h(-7). Suppose -d*o - 483 + 87 = 0. Calculate the least common multiple of (33\/o)\/(1 + 13\/(-12)) and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 335 = t - 344, -10 = 4*i - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/285 and -131\/1520.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -134118\/10103 bigger than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - f = 3*f - 18, 4*f - 22 = -p. Suppose -101 = -p*l - x, -5*x + 55 + 66 = 2*l. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.83? (a) -4 (b) 2 (c) 78 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291364?\nAnswer: 2, 3, 63649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -353.\nAnswer: -353, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1132\/11445 + -2\/545. Let z(t) = t**3 - 4*t**2 + t - 3. Let q be z(4). Which is the third smallest value? (a) -0.1 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376850 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/21)\/i**(-5) assuming i is positive.\nAnswer: i**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -83*o + 9. Is v(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**3\/3 - l. Let r = 7 + -3. Let g(k) = 0*k + r*k - 6*k. Determine x(g(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -1 + 10 + -694. Let b = -673 - q. Solve 16*r = b*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l - 6. Calculate n(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/120 + r**5\/15 - 5*r**4\/24 + r**3 + 44*r**2. What is y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.9472l in millilitres?\nAnswer: 293947.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o*u**3 - 557*o*u**2 - 24*o + 142*u**3 - 2*u**2 - 18216*u wrt u.\nAnswer: -12*o*u - 1114*o + 852*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-2)\/343*(-105)\/(-15).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181862598 is divided by 6052.\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3\/(-6))\/((-9)\/(-40)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 5, 0.4, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 10*w - 156. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + 2 + (-29 - (-17 - -4) - -59)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10)*o*o**(4\/19)*o*o*o*o**3*o*o\/(o\/(o\/(o*o**(3\/5)*o))) assuming o is positive.\nAnswer: o**(-322\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -187 + 59. Let u(s) = -s**3 + 7*s**2 + 7*s + 3. What is u(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371 + 0.7.\nAnswer: -370.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 25. Let p(j) = j**2 - 6*j - 10. Let w be -6 + 7 - (-5)\/(-1). Let g be p(w). Calculate the greatest common factor of b and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/((3 - 4) + 0).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.261, 5, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2748 - -2754. Calculate the highest common divisor of 1368 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 9*n - 6. Let f be w(5). Let r = f - 8. Suppose 4*h - 2*l + r*l = 1504, -5*l - 1152 = -3*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:47 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100110111000 (base 2) to base 14.\nAnswer: -9c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77552878 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - 20 - -34) + 19 - (-1 + -7 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/1)\/(-1)*((-3)\/(-2))\/((-585)\/520).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*x = 13, 5*y = -2*x - 252 + 285 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 5*f + 1. Let p be r(5). Suppose -n - 2 = p. Let v = -37\/10 + 7\/2. What is the second biggest value in n, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plllpxml. What is prob of sequence xp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - (sqrt(85)*1 - sqrt(85)))*-6)\/(6*sqrt(80)))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2456484952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12104 is divided by 5446.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2 = -h. Let z be (0 - 1)*54\/h. Is z\/(-5) - (-6)\/(-15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 3 + (sqrt(891) + 1 - sqrt(891)))**2 + sqrt(891) + -2 + (sqrt(891) - (sqrt(891) - sqrt(891)*-2)) + 5.\nAnswer: 63*sqrt(11) + 910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 36088 + -3751\nAnswer: 32337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y = -12*y - 50 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-20))\/(1\/4). Let g be (-18)\/12*(-2)\/(-3). Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = -8*g - 3*p, -5*p = -20. Suppose -z - 3 = h - 5, 0 = -z + h + 2. Put g, z, -4 in ascending order.\nAnswer: -4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13054157 to the nearest integer?\nAnswer: 3613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 127*u**2 + 4*u**3 - 143*u**2.\nAnswer: 5*u**3 - 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 - -353. Let v = i + -308. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ootooooootoozoztooz?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8\/33 - -163\/264. What is the closest to 0.2 in c, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - 47. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39571110 by -219.\nAnswer: -180690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6, 5*x + 3*p - 52 = 4*p. Suppose 2*i = 3*g + 101, -4*i + 2*g + 96 = -2*i. What is the remainder when i is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*m + 7. Suppose -m*z = -0*z - 2. Solve -z = -4*c + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35.560602063 + -184.439396947. Let t = 115 - 335. Let s = t - m. Round s to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-4))\/(1\/2). Let j = 0.04 - -3.96. Let b = 5 - 6. Put a, j, b in ascending order.\nAnswer: b, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 5*k + 2*u, -k + 0*k + u - 17 = 0. Let i = k - -28. Let y(l) = -l + 8. Give y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -5*g + 19, 4*w + 617 = -4*g + 629 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.2699 to 0 dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 22*j - 1006 = -2*q, -503 = -j - 3*q. Calculate the remainder when j is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 2067120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 5a9?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220421301?\nAnswer: 3, 367, 200201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxffxjfjxij. What is prob of sequence jif?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -677, -3277, -7609, -13673?\nAnswer: -21469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 1686.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13235 + 13234.7. Put -0.4, -5, -0.5, -522, f in decreasing order.\nAnswer: f, -0.4, -0.5, -5, -522","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 5 (c) 2 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 16*d - 14. Let f be t(-17). Suppose -5*w - 5 = 0, j + w + 7 = f*j. Suppose -2995 = -4*x + j*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1365151919 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 63.81727 millilitres?\nAnswer: 0.06381727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 204 (b) 2 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 3*x**2 + 20*x**3 + 4*x**2.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 29\/6. Suppose 0 = 7*m - 3*m + 80. Let n be 12\/m + 36\/10. What is the second smallest value in n, 3\/5, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 262, 8, -2, 0, -1, 17 in descending order.\nAnswer: 262, 17, 8, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 636*s + 633.\nAnswer: 3*(s + 1)*(s + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:28 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2479 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25386495 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(20\/(-5))\/(-24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x. Let d(w) = 349*w - 1. Give q(d(s)).\nAnswer: 1396*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -423543222110 - -5?\nAnswer: -423543222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {i: 1, t: 2, g: 1, u: 1, z: 1, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 617925857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-7)\/t))\/t)**(-1\/48) assuming t is positive.\nAnswer: t**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -240*a**2*s*z - 37*a**2*s - 15*a**2*z + 143*a**2 + 78*a*s*z + 300825*a*z - 2*a - 3*s*z - 2*s wrt a.\nAnswer: -480*s*z - 74*s - 30*z + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 404, 568?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9582 + -0.0418. Which is the third biggest value? (a) 0 (b) -66 (c) g (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7641 times 103?\nAnswer: 787023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2532752, 5065455, 7598158, 10130861, 12663564, 15196267?\n\"Answer: 2532703*m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 10 + -4*1. Suppose 284 = 5*s + 3*x, 2*s + u*x = 6*x + 124. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.9. Let g = m + -3.1. Let h be (9\/(-39))\/(6\/4). Which is the third smallest value? (a) g (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.18 - -17. Let u be ((-4)\/9)\/(41 - (-548)\/(-12)). What is the smallest value in i, -1\/2, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/24)\/(-2)*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0, 10, 169\/4?\nAnswer: 169\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -4\/6003 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 97 + -4d?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41855159 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/287? (a) -13 (b) -1\/3 (c) 1\/5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 2372219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + -17 - -7 - -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 50. Suppose -5*f = -3*c - 31, -2*c - 5*f + 16 = -5. What is the nearest to c in 0.3, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12826 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 4*o. Let k be j(-6). Suppose 2*b - k = -2*n - 2*b, 5*b = 20. Suppose 2786*z - 2725*z = 427. Sort n, 2, -5, z in increasing order.\nAnswer: -5, n, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -27 + 0*c**4 + 1\/5*c**5 + 0*c + 13\/3*c**3 + 0*c**2. Find the third derivative of z(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, 0.05, -0.3, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/121 in -0.3, -2\/153, 1\/4?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (15*(-39)\/130)\/(-18)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -66560 <= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 20. Suppose -3*l = -61 - 53. Let z = l + -36. Solve -z*o - v = 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pwpfpwwpppkpppwfwfw?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10b3 + -8?\nAnswer: 10a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4686*k. Let x(y) = 15*y. Calculate l(x(j)).\nAnswer: 70290*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 1, g: 1, n: 1, m: 1, l: 1}. What is prob of sequence mlgn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 986 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 4. Let z(h) = -h - 1. Let t(d) = -q(d) + 4*z(d). Let y(x) be the third derivative of x**5\/10 - 6*x**2 + 243*x. What is t(y(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u - 8*u - 6*u + 10.\nAnswer: -2*u + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5283, 5257, 5221, 5175, 5119?\n\"Answer: -5*h**2 - 11*h + 5299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 1. Let h be 9 + (-253)\/(-33) - (-1)\/3. Suppose -h*l = -14*l + 18. Let d(s) = s. What is l*d(v) - 2*w(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1343213432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -300*k**2 + 17097*k + 129. Calculate z(57).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3728 and 3436284.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**12\/t**(-1)*t\/t**34*t**(-8\/7) assuming t is positive.\nAnswer: t**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 14 = 2*a, -2*a + 4*z + 0 + 18 = 0. Suppose 0*o = a*o. Suppose 5*n = -o*n + 20. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -64, -108, -148, -184?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3065291 + 3065291 + 2*v - 5*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170314 and 318652.\nAnswer: 9878212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (2 + 9)) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-7 - -3 - -5). What is the third derivative of 41*h**5 + 2*h**s - h + 13*h**2 + 4*h**6 - 7*h**6 - 33*h**5 wrt h?\nAnswer: -360*h**3 + 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11943*i + 2. Let z(j) = -5992*j - 1. Calculate 4*c(b) + 9*z(b).\nAnswer: -6156*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:29 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333120 (base 4) in base 7?\nAnswer: 32524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1661*r - 43905 = 120534 for r.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 8:45 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Suppose -4*p = 5*w - 40, 1 + 14 = g*p. Let n be 18\/w + (-1)\/(-2). Solve 3*y = -l - 17, -2*l + 4*y = -1 - n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-136))\/((35\/16)\/5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {q: 11, u: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1648755 and -2.92?\nAnswer: 1648752.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -42*g**3 + 12*g**2 - 3*g + 1. Let i(h) = 38*h**3 - 15*h**2 + 4*h - 1. What is 3*i(m) + 4*j(m)?\nAnswer: -54*m**3 + 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2414 + -2414.0004016. Round p to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30469*v - 30458*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (1 - (-3 + (-3 - -5))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 3*o**2 + 0*o**2)*(90 + 41 + 116)*(-3 - 1 - 1).\nAnswer: -3705*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {x: 1, e: 1, m: 5, d: 12}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -2 - (-5 + 5). Let c(j) = 5*j + 2 - 4 + 3 + 1. Let f(p) be the first derivative of -p**2\/2 - 1. What is t*c(b) + 4*f(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.4 + 15. Let s = 1 + -1. Which is the second smallest value? (a) -1\/4 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 0.7, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-80) - (2 + 81245\/(-25)) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z + 2. Let b = 8 - z. Let i(s) = 2*s**2 + s + 1. List the prime factors of i(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*y - 79*y = -5*j, 5*y + 17 = -4*j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386040000 rounded to the nearest 1000000?\nAnswer: 386000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1068346 or -1068347?\nAnswer: -1068347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 607 + 559. Which is the third biggest value? (a) 0.5 (b) -0.3 (c) z (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 440 - -14?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -7*h - 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/((-672)\/364) + (-1 - (-3608)\/(-300)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 - 6*v**3 + 14*v**3 - 7*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h - 46. Let y be k(0). Let r be y\/(-4) - (-1)\/2. Let x be (r\/(-10))\/((-2)\/10). Solve 0*q - 2*q - x = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + k - 10. Let n be u(-3). Let a = 11 - n. Let p = -15\/4 + 53\/12. Put a, p, -4 in descending order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 + 862*z**3 + 3418*z**2 + 842*z - 5124 = 0. Calculate z.\nAnswer: -427, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 + 0 - (31 + -29)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 + 6*x + 3. Let v be u(6). Suppose 4*w + 5 = -v*n, -w - 15 + 5 = -n. Suppose -n*c + 6 = j, 4*c = 6*c + 6. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1259\nAnswer: 125.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + 77. Let o = x + -135. Solve 5*u - o*i = -i, -3*i = -15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715726?\nAnswer: 2, 11, 32533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3997*d - 4004*d + 7993*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17.99 and -0.03.\nAnswer: 17.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/7 + 24*o\/7 + 80\/7 = 0. What is o?\nAnswer: -20, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.44 - 0.44. Let g = s + -16.976. Let o = g + -0.02458. Round o to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*t + 5, 2*t - 3 = -w - t. Let a(m) = -m + 4. What is the units digit of a(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12*t**3. Let b be o(1). Let d = 26 - 25. Put 5, b, d in decreasing order.\nAnswer: b, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m**2 + 20*m + 17. Let u(j) = 8*j**2 + 17*j + 18. Determine 7*u(y) - 6*x(y).\nAnswer: 8*y**2 - y + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/5 + 2\/5 - -3. Suppose -141 + 21 = -f*t. Solve -2*w - t = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - p + (-3 + 3 - 3*p)*(4 - 4 + 1) - 76*p + 12*p - 41*p.\nAnswer: -109*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.154 in 1, 2\/5, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71059859 to the power of 1\/3, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 318. Let h = f + 654. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -1 + -14 + 2 + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (296 - 70 - 232) + (0 + 0 + 1 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/7)*y*(y**(-3)*y)\/y*y)\/((y*(y**9\/y)\/y*y)\/y**(-1)) assuming y is positive.\nAnswer: y**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1920 and 87873920?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127136446 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783550.\nAnswer: 2, 5, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39588014.6 rounded to the nearest one hundred thousand?\nAnswer: -39600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31302 (base 4) to base 3.\nAnswer: -1012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (368\/(-264))\/((-1)\/(-3)) - -4. Let j = 1 + -0.9. Put s, j, -1\/5, 6 in descending order.\nAnswer: 6, j, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -950 divided by -38\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - m)*(6 - 2 - 1) + m + 0*m + m - 2*m + 0*m + m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/5)\/(5\/25). Calculate the highest common divisor of i and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 32 = 17*q, 9*x - 6 = -q - 8*x + 15*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.7 (c) -0.3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 32 + -474 + 467.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141*o = 100*o - 212*o - 50120 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/55 - 328\/(-11). Suppose -4*b = -5*m + 8, 2*b + 5*m = -4 + j. Solve b = -5*q - 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b5915 (base 12) in base 3?\nAnswer: 1101101012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 1. Let x be ((-6)\/1)\/(18\/(-12)). Let o be g(x). Suppose 0 = -2*q - o*q + 75. Calculate the greatest common factor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29687108531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -24 + 12. Suppose -48 = -r*f + 12. Solve 0 = -5*i + 2*i + f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29590935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.2, -1\/2, -1\/4, 0.01, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1409*k - 395*k + 568*k in the form t + z*k and give z.\nAnswer: -1236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26292277*t**2 + 14447391*t wrt t.\nAnswer: -52584554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 12196?\nAnswer: 134156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66024*y**2 - 33009*y**2 - 33010*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + -2 + -5*(0 + (sqrt(12)\/(sqrt(100)*-1))**2)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 460*r + 1404. Give g(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29583176011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59848475 to the nearest integer?\nAnswer: 7736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 4*l + 2. Let s be w(4). Suppose i - 21 = -0*m + s*m, -3*i + 71 = -4*m. Suppose i + 40 = 3*p. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 7 + -6 - (0 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + x**3 - 12*x**3 + 1 - 3 - x. Let z be v(3). Let r = z + -9689. What is r rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + 0.43. Let v = x - -0.5. What is the closest to v in -4, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u\/(((u*u*u*u**0)\/u)\/u))))**(5\/9)*(u**(-4\/9)*u*u*u)\/u**(-1\/2) assuming u is positive.\nAnswer: u**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*0.767972.\nAnswer: -0.27646992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 179928624*d**3 - 359857232*d**2.\nAnswer: -4*d**2*(d - 44982154)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k = 43*k - 195. Let d be (2\/k*1)\/(109\/1090). Determine r so that d + 2\/13*r**2 - 6\/13*r = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369078 is divided by 92.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {x: 2, a: 1, v: 1, d: 1, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2886659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q - j - 8, 5 = 5*j. What is the common denominator of -2 + 0 - (-17)\/q and 109\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1.3, -2, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 3450 + 134046. Calculate the highest common factor of 34 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284153.8 micrograms in tonnes?\nAnswer: 0.0000002841538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2189, 4380, 6571, 8762?\nAnswer: 10953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*b**2 + 2*b**3 + 50*b**2 - 96*b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + f**2 - 23 - 11 + 2*f + 42. What is j(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*w**2 + 309*w - 309*w.\nAnswer: 589*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 1475, 3333, 5941, 9299, 13407, 18265?\nAnswer: 23873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242010.\nAnswer: 2, 3, 5, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*v - 2*b, 10*v - 8*v + 5*b + 27 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11373\/11 - 1033. Let j = 7555\/4917 - -4\/447. Find the common denominator of j and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 9*d - 406. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 2. Let a(b) = b**2 + 21*b + 37. Let j be a(-19). Let k(y) = -1. Determine j*n(g) - 5*k(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 4881?\nAnswer: 4881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 1\/12*l**4 + l**2 + l + 0 - 1\/3*l**3. Calculate m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2407576409.\nAnswer: 7, 343939487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, o: 5}. What is prob of picking 1 f and 2 o?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -97 (base 11) to base 6\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.55 + 0.1402.\nAnswer: -7.4098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3626 and 5254?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.090509 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + (4 - 13)) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 42, 68, 96?\n\"Answer: w**2 + 21*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjtj when four letters picked without replacement from {t: 2, c: 5, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 + 3*s + 1. Let g be r(-2). Let l = g + -5. Let n = l - -3. Solve 0 = -5*v - n + 26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y**3 + 11*y**2 + 5*y - 7. Calculate l(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7584 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -655*j - 5. Let f be (-114)\/(0 + -3) + -4. Let a = -25 + f. Let z be g(a). What is z rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -10. Let n = -5 + v. Calculate the remainder when 8 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2619)\/((4 - 20\/8) + -2). What is the remainder when (-14)\/(-161) - r\/(-69) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 10*y - 2. Let h be l(-10). What is the remainder when (50\/(-13) - (-2)\/(-13)) + 30 is divided by h\/3 + (-88)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15829 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/35305659 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1737, -3469, -5199, -6927, -8653?\n\"Answer: m**2 - 1735*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-80)\/(-150)*-3*-17715 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 1 - 1. Suppose 0 = l - f, 2*g + 6*l - l - 19 = 0. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9302000 to the nearest one hundred thousand.\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -64, -2 in descending order.\nAnswer: -1, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 16*o - 32. Determine d(-26).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -688*n + 685*n - 5*z + 20, -4*n - 4*z + 24 = 0. Let x = -4.7 - -5. What is the third smallest value in -1\/2, n, 33, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i**5 - 17011*i**4 - 7909515*i**3 - 878625*i**2 = 0. Calculate i.\nAnswer: -1065, -825, -1\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 2*g**4 + 59*g**3\/6 - 11*g**2\/2 + 82*g. List the prime factors of t(-7).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29014*-3\nAnswer: 87042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 10:50 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/65*(-10)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Let g be s(-1). Let c be (13\/g)\/((-1)\/2). Suppose -5*d = -12 - 13, u = 3*d - c. What is the third smallest value in -0.1, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6ee328 (base 15) to base 3.\nAnswer: 100222221000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2839 is divided by 940.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(2673)\/sqrt(11) - (sqrt(168)\/sqrt(8))\/sqrt(7) - -2*(sqrt(3) + 1 + sqrt(3) + 2 + -1))**2.\nAnswer: 104*sqrt(3) + 523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-1)\/(-2)*1. Suppose 6*c = 2*c - 4. Let z be 85000*c*(-2 - o). What is z rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = s + 5*j - 2*j, s = j + 3. Suppose 3*a - 93 = 5*y, 3*a + a = -s*y + 92. Solve -5*v - a = i + i, -2*v = -4*i - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + -1.94. Let h = 0.1 + 0.9. Which is the biggest value? (a) h (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-2*l + 3*l + 0*l) + 224*l + 1006*l + 1137*l - 1274*l.\nAnswer: 1095*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i*n**3 - 70*i*n**2 + 151*i*n - 2044*n**3 wrt i?\nAnswer: n**3 - 70*n**2 + 151*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*g + 2*g - 10*g + (-2*g + 3*g + g)*(-5 + 3 + 4) - 2*g + 0*g + 4*g + (-2 + g + 2)*(-2 + 6 - 2).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 3 + 3 + (-f + 0*f - f)*(-1 - 3 + 2) + 2*f + 0*f - 4*f)*(-5 + 2 + 0) + f - 3*f + 0*f as u*f + n and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3*a - 5*a)*(-2*a + 0*a - 5*a).\nAnswer: 14*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 33732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 5 + 5)*(29*t - 29*t + 6*t**2).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from qqqqqqqqqqqqqqqqsqq.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1. Let x(m) be the first derivative of -101*m**2\/2 + 15*m - 20. Let j(d) = a(d) - x(d). List the prime factors of j(2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m + 32 = 0. Let w = 24 + m. Suppose -2*x = 2*x - w. Calculate the highest common divisor of x and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 3, 217, 2.\nAnswer: -5, 0, 2, 3, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -32. Is 11\/3 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 0*n + 2*n. Let b(m) be the third derivative of m**7\/1260 + m**4\/6 + 4*m**2. Let l(r) be the second derivative of b(r). Calculate z(l(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69388688 is divided by 783?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -2679183?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 3*n**2 + 2. Let t be h(2). Let g = t - -30. Suppose b + 22 = 5*b - f, -4*f = -4*b + g. Solve 0*r = b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 159?\nAnswer: -8\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*l = -9, r - 1 = -l - 3. Let x(y) = 2. Let k(f) = f - 1. Let s(t) = -2*k(t) - x(t). Give s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433952, 433956, 433960, 433964?\nAnswer: 433968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/6)\/(-3)*304\/114?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -30. Suppose 10*m - 12*m = -t. Calculate the lowest common multiple of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*o - o = -56, 3*y - 91 = -5*o. Suppose 0 = 5*u - 8 - y. Solve 4*g - u = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105309 divided by 3?\nAnswer: -35103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125\/2 + 379\/6. What is the closest to o in 10, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*p - 1697, 2*p + 1315 = 3*t - 1236. Calculate the greatest common factor of 23 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 28842320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*z**4 + 165*z**2 + 38*z**4 + 166*z**4 + 248*z**2 wrt z.\nAnswer: 5136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7447 less than -22340\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/2*(-18)\/24. Let c = 88 + -39. What is the remainder when c is divided by 16 + r*2\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 6 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 419978177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/9 + ((-280)\/90)\/(-14). Sort -4, 83, -1, h in decreasing order.\nAnswer: 83, h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.0091 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-105)\/(-1736)) + 1936\/1210.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8*w + 52. Let j = -5 - w. What is the remainder when 14 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9570296 years to decades.\nAnswer: 0.09570296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -328, -332, -336?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - -4.03. Let b(k) = k**2. Let w be b(1). Suppose 0 = 5*x + 4 + w. What is the closest to x in -0.2, q, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -187\nAnswer: -187.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1261 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42354894 and 963886.1.\nAnswer: 43318780.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38671\/5 - -1856873\/240. Find the common denominator of 213\/(-4752) - 4\/18 and r.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-78) + (-2)\/3. Let j(d) = -101*d - 406. Let p be j(-4). Which is the closest to -1? (a) p (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 290*a - 1097. Calculate the remainder when (-7 + 4)\/((-1)\/83) is divided by n(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -34\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-8))\/((-3)\/8). Let m be (-4)\/s + (-2)\/3. Sort 4, m, 2 in descending order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 7. Let h = 25 + r. Is h smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 354159, 708299, 1062423, 1416531?\n\"Answer: -8*g**2 + 354164*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9955a6 (base 11) to base 15.\nAnswer: 215a6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.5, -5, 0, -0.01, 2220?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/18)\/(3\/6). Solve 5*c + 15 = r*g, 31 = c + 5*g + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 748420 and 11040.\nAnswer: 17962080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1365 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10\/19 - 11\/57. Let d = -7.56 + 7.6. Let u = d + -2.04. What is the nearest to -1 in u, p, 0.06?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 2:16 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/6)\/m**(7\/4) assuming m is positive.\nAnswer: m**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2*-3 + sqrt(76))\/(-2*sqrt(100) - sqrt(100) - sqrt(100)) + 5 + 3.\nAnswer: sqrt(19)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/4 and 69\/12488.\nAnswer: 12488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b**2 - 5*b + 7. Suppose 0 = -14*f + 18*f - 24. Let v(d) = -17*d**2 + 9*d - 13. Determine f*v(y) + 11*p(y).\nAnswer: -3*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76\/25039 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/f**2*(f*f**0*f*f)\/f*f*f*f**(-1\/2))**(-17\/3) assuming f is positive.\nAnswer: f**(-85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4683*t**2 + 4683*t**2 + 4*t - 2*t**4 + 10 to the form r + h*t**4 + a*t + o*t**2 + b*t**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*m - 463*m - 379633 + 48610928. What are the prime factors of m?\nAnswer: 7, 17, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 66 = -0*m. Find the third derivative of 12*y**2 + 15*y**2 - 3*y**6 - m*y**2 wrt y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 1\/2, -3, 2\/35, 0.1, -1023?\nAnswer: -1023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0, 0.03, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2003587618?\nAnswer: 2, 19183, 52223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*v**4 + 2299719*v**3 + 4131047?\nAnswer: 12*v**3 + 6899157*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -22 + -3 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) -1\/69 (d) 8 (e) -1\/4 (f) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -35*o**2 + 3079*o + 46. What is n(88)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -w + 2*a + 17, -3*a - 32 = -w. Let p = w - 139\/7. Are 0 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029 divided by -1029?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkkkkfkkkkkfkkkkkkkk. Give prob of picking 1 f and 1 k.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 - 3439.395\nAnswer: -3439.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -2 - (-6 + 6)) + 7 + 41 + -53?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.214297 millilitres?\nAnswer: 0.003214297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -14*m + 92*m - 1014 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(343)*-4)**2.\nAnswer: 21952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5453 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7*z. Let v = -8.6 - -8.2. Which is the nearest to z? (a) v (b) 0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8957*k**4 + 21016 wrt k.\nAnswer: -35828*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-513)\/(-570) - (-4)\/(-10))\/((-3)\/(-120))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -155, -262, -371, -482?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 10*j + j - 14*j.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuouuuuuuoou. Give prob of sequence oou.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from bwddddddddd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 934\/(-165) - 18\/297\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ibbbbqbqbbbbbb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 127551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/193033, 0, -1, 5\/11.\nAnswer: -3, -1, -4\/193033, 0, 5\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -5, 5, -4, -33, -1 in decreasing order.\nAnswer: 69, 5, -1, -4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.054 rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = 10*j. Let u be 6\/4 + j*(-2)\/(-8). Which is the nearest to u? (a) 0.4 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/(-18*(-75)\/3240).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65\/16 - 299\/16. Suppose -t + 220 = 5*y, -4 - 11 = -3*t. Suppose -r = 5, -3*s + r - 2*r = -y. Find the common denominator of n and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-10))\/f*f**0*(f\/(f**4\/f))\/(f*f**(2\/37)) assuming f is positive.\nAnswer: f**(-483\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (478\/5975*(-3075)\/(-12))\/((-8)\/16).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 63981, 255934, 575857, 1023750, 1599613, 2303446?\n\"Answer: 63985*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by (-1 + 0)*2\/((-10)\/65)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084381*s - 4779 = 1084322*s. Calculate the remainder when 321 + (-1)\/2*0 is divided by s.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-1\/5)\/v)\/v)\/v)\/v*v\/v**(-12))\/((v*v**(5\/4)\/v)\/v**13) assuming v is positive.\nAnswer: v**(431\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37.1 + -37. Is 0.053 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29390, 58912, 88434, 117956?\n\"Answer: 29522*l - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + sqrt(144)*2)*-3)\/(sqrt(128)*1*-2).\nAnswer: 27*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6126 (b) -94 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 4*o - 6. Let b be t(4). Let c(r) = r**2 + 6*r. Give c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/160102 and 111\/10.\nAnswer: 800510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 3, -2, -9, -18, -29?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-10 + (-217)\/(-21)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -2*h**3\/3 - 141*h**2\/2 + 58*h. Let i be p(-35). Which is bigger: 14\/47 or i?\nAnswer: 14\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 2*d - 1. Let p be m(2). Suppose -20 = 8*g - p*g. Suppose -3*j + j = 2*a + 14, a = -3*j - 13. Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356066480 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*s - 2. Let h(r) = -3*r - r - 5 + 2. Let v(t) be the first derivative of 5*t**2\/2 + 4*t - 4. Calculate s*h(p) + 3*v(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 + 189 = 5*c, y + 109 = 3*c. Let r = 78 - 66. Calculate the highest common factor of r and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q - 187. Let c be d(19). Solve 3 = c*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let g = i + 37. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -15093, 8 in decreasing order.\nAnswer: 33, 8, -15093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19029488548453.9399867 - -19029489813974. Let u = -1265520 + f. Let k = u - 0.06. What is k rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 743*t + 12. Let h be r(0). Calculate the highest common factor of h and 2721.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1081.16 - -25.16. Let o = -1006.1 - z. What is o rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*5\/(-15))\/1. Let d(o) = 41*o**2 - o. Suppose 7*p - 2*p - 120 = 0. What is the remainder when d(m) is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2.31 (b) 1\/6 (c) -2 (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6) - (-606)\/(-12)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4092, -4068, -4008, -3894, -3708?\nAnswer: -3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14*o**2. Let f(g) = 1781*g + 5. Give i(f(c)).\nAnswer: 44407454*c**2 + 249340*c + 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 10*q - 10. Let y be t(11). Put y, 5, -3 in ascending order.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Let a be (p + 3)\/(2\/1). What is the greatest common factor of 27 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - -31. Suppose -3*c - s = -5*c. Let w = c - 25. Calculate the lowest common multiple of 5 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70676 is divided by 70545?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083451 is divided by 120.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-2)\/g*g)\/g)\/g)\/(((g*g**(2\/3))\/g)\/g*g)*(g\/g**5*g*g)\/g**(-1\/3))**47 assuming g is positive.\nAnswer: g**(-893\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 14. Let o be x\/(-4)*(6 + 68\/(-5)). What is the derivative of 4*q**4 + 17*q**4 - o + 8 wrt q?\nAnswer: 84*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/96 and -133\/960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 6150.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66376, 66279, 66180, 66085, 66000, 65931, 65884, 65865?\n\"Answer: u**3 - 7*u**2 - 83*u + 66465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:49 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(3) + -3 + sqrt(36)\/sqrt(300) + sqrt(15)\/(-3*sqrt(180) - sqrt(180)).\nAnswer: -1 + 139*sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.6344 litres in millilitres?\nAnswer: 131634.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 7, 1, -17, -53?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 9*u**5 + 71*u**4 + 155*u**3 + 133*u**2 + 40*u = 0.\nAnswer: -5, -1, -8\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**7\/420 - 7*h**5\/15 - h**2 + 53*h. Let g(k) be the third derivative of b(k). Let d(l) = 4*l. What is d(g(u))?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 + (-943)\/(-123))*2\/4. Let w = -2.02 + 0.02. Which is the nearest to -6? (a) w (b) -3 (c) 4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 935, 1761, 2587, 3413, 4239?\nAnswer: 5065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4032 divided by 8?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -234 + v**2 + 462 + 2*v**4 - 240 + 3*v - 5*v as z*v**4 + c + b*v**3 + o*v**2 + j*v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -95923 or 13\/11?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*n**2 - 3*n + 62?\nAnswer: -28*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -104*v**3 - 22*v**2 - 65*v + 11. Let w(z) = 35*z**3 + 8*z**2 + 22*z - 4. Determine -4*b(r) - 11*w(r).\nAnswer: 31*r**3 + 18*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 132 in 1.6, 2\/17, 0.4, -2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnm when three letters picked without replacement from {m: 3, u: 1, n: 1, r: 1, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -0.3. Let r = 2284 + -2287. Let y = -287\/6 + 48. Which is the third smallest value? (a) y (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:11 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 3.5.\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5722, -11336, -16886, -22372, -27794?\nAnswer: -33152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1 (b) 668 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 3*g. Let d be i(-2). Is 11 a factor of 2*29\/d*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -608 + 333. Let m = -26.30395 - -301.28665. Let x = m + g. Round x to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -1)*8\/(-6). Suppose -6*v - 946 + 960 = 4*j, -2 = 2*j. Sort v, r, 2, -6 in ascending order.\nAnswer: -6, 2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/5 + 82432*v**2\/5 + 84970896*v + 1698099264\/5.\nAnswer: 4*(v + 4)*(v + 10302)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.868191 to 2 dps.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:14 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 2 = -3*f. Let s = f + -2. Suppose 0 = o + s*o - 80. Calculate the greatest common divisor of 180 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, -5, 1 in increasing order.\nAnswer: -132, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 19*m)*(-1 + 2 + 0)*(2*m + 4*m - 3*m).\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2 - 128732*v + 128731 = 0 for v.\nAnswer: 1, 128731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 280 = -5*m, 3*l + 2*l + 112 = 2*m. What is the greatest common divisor of 84 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(153) - (5 + sqrt(153)*-4 - sqrt(153))) - (-5 + -4 + sqrt(153) + 4).\nAnswer: -5 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7682773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/81 and 5\/99?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.3 - 22.4. Let i = c + 12.8. What is the closest to 2 in -1, i, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 712*j - 47. Is h(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:41 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 201*c**2 - 2*c + 6. Let f(p) = -1209*p**2 + 13*p - 38. Give 6*f(a) + 39*k(a).\nAnswer: 585*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(2*y + y - y) + (1 + 1 - 1)*(5*y - 4*y + 2*y))*(2 + 9*y**2 - 2).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**3 - 6*h**2 - 6*h - 4. Suppose -2*i + 20 = 2*i. Is g(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = -w - 3, 0 = -5*w + f - 15. Let c = 6 + w. Solve 5*a - 2*p = 29, 0 = c*p - 0 + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2170153 to the power of 1\/2, to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -21. Let u = -12.0000012 - f. Round u to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-258)\/(-18) + (-4)\/(-6). Solve -11 = -5*o - w, -z = 2*o - 3*o + 3*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-120)\/(-45)*((-32459)\/81110 - (-6)\/15). Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190529 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4453403 (base 6) to base 5\nAnswer: -24200003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01272179239 to 5 dps.\nAnswer: 0.01272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnhnnhnnhnn. What is prob of sequence nn?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 56. Suppose t - 22 = -6*z. Let p = 0.1 - -0.9. Which is the closest to p? (a) z (b) 4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at least 136193\/2221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1207100006 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6867 and 224529.\nAnswer: 217662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5471 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -102, -824, -2792, -6630, -12962, -22412, -35604, -53162?\n\"Answer: -104*v**3 + v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1587*i + 115784 + 67 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1297*t + 1279*t - 2595*t + 2*t**2.\nAnswer: 2*t**2 - 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 12 + -22 + 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 7*f. Let d(c) = 7*c**2. Determine d(t(s)).\nAnswer: 7*s**4 - 98*s**3 + 343*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2602098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soz when three letters picked without replacement from zssoszszszsossso?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 14088315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*r + 1 = x, 2*x = r + 2. Let q be (-2 + 1)*-1 - x. What is i in 0*i - 2*i**2 + q*i**2 - 2*i + 4 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2092, 2132, 2170, 2206, 2240?\nAnswer: 2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2656500 divided by -94875\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 193a2 - 2?\nAnswer: 193a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -29. Suppose -y + 22 = 3*j, y - 17 = -w*j - 2*y. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 17256587309 + 2*i**3 + 17256587309 - 3*i**3 + i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23529)\/3872)\/69 + 8\/(-176)*2*-2?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313782*s**3 - 158244*s**2 wrt s?\nAnswer: -1882692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7780 is divided by 1278?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43072, 43047, 43010, 42961, 42900?\nAnswer: 42827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(33 - (-7029)\/(-231)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20360 - 20358. Solve -y + k*s + 10 = 0, -3*y - 6 = -3*s + 6*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-4 - -2)) + 5. Let y = -16 + 15. Let p be (-30)\/(-9) - (-15)\/(-5). Which is the closest to 3? (a) y (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9864)\/96)\/(4\/(864\/(-162))).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 18 - 14 - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 13398 + 11469 = -63633. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39866 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 16665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63477, 507756, 1713651, 4061970, 7933521, 13709112?\n\"Answer: 63468*a**3 + 3*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1*(-3 + sqrt(500)) + sqrt(500) + 2 + 4)*-1)**2 + -1.\nAnswer: 120*sqrt(5) + 2012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.05436 - 0.05436. Which is the third smallest value? (a) -5 (b) 2 (c) h (d) -2\/9 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 0*y**3 + 6*y + 0*y**2 - 4*y**2 - 5 - 2*y**3 + 3*y**3. Let j be t(3). Find the first derivative of -4*o**j + 4*o**4 - 9 - 5*o**4 - 4*o**4 wrt o.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m - 1. Let c(y) = 7*y - 1. Determine -4*c(p) + 5*k(p).\nAnswer: 12*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 1, l: 1, h: 1, x: 1, w: 2}. Give prob of picking 1 x, 1 w, and 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - 10d?\nAnswer: -f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anxa when four letters picked without replacement from {x: 2, o: 1, a: 3, k: 1, n: 3, h: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -791873 - 0.45\nAnswer: -791873.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -91523.36 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -n - 7, -27*l = -26*l + 5*n - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(9\/7))\/k*k*k)\/k**22)\/((k*k*k\/(k**18\/k)*k)\/k*k\/((k\/k**22*k*k*k)\/k*k*k)) assuming k is positive.\nAnswer: k**(-152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187944433?\nAnswer: 1381, 136093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -4*k + 2*i, -4*i - 7 - 9 = 0. Calculate the greatest common divisor of 416 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22*16\/12*549\/(-24). What is the tens digit of k\/(-22)*1*22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/9))**(1\/15)\/(r*r\/(r*r**(-1\/2)*r)*r)**(8\/9))**25)**(-34) assuming r is positive.\nAnswer: r**(30260\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (sqrt(245)*-3*-6 + 3 + sqrt(245) + -3)*1)**2.\nAnswer: -265410 - 3990*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -90 (b) 1 (c) 15\/7 (d) 1.16 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010001101110 (base 2) to base 7.\nAnswer: -21151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835 is divided by 249?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 636, 1269, 1904, 2541, 3180?\nAnswer: 3821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 6*q - 225. Suppose -2808 + q = -3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.676592, 4 in decreasing order.\nAnswer: 4, 1.676592, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 11?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 3. Let w = 1079 - 1057. Let f(p) = 5*p - 15. Calculate w*g(a) - 4*f(a).\nAnswer: 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-2)\/8*(-4)\/(-45).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38c4 + 29?\nAnswer: -389b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - -2) + -1092 + 1069 + 11 + (-1 - -2).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/20)\/((-273)\/(-65)))\/((-5070)\/455)?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (19\/4 - 1)\/((-35)\/((-4930800)\/45))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**0)\/y))**(2\/201)*y*y*y**(-4)*y\/y**(-2)*y*y assuming y is positive.\nAnswer: y**(605\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-27) + (-92)\/(-6). Let g be 102\/(-4) - 21\/k. Let o = g + 31. Sort 5, o, 3 in increasing order.\nAnswer: 3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 43 = 84*i - 109*i. Solve 0 = 2*j - 4*k + i, 5*k = -3*j + 86 - 106 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 6*w**2 + 8*w + 23. Let v(h) = -3*h**3 + 10*h**2 + 19*h + 40. Calculate 5*q(c) - 3*v(c).\nAnswer: 4*c**3 - 17*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 4:01 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1452 - -1454. Suppose 0 = -3*n + 41 + 31. What is the second smallest value in l, -2, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 2*o + 6. Let p be q(3). Solve 2*f - 6*f = -u - 10, 0 = -p*u - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 11 = -11*w. Put 35, w, -1, -9 in decreasing order.\nAnswer: 35, -1, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733753871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3528 = 11*z. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 0.7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112618618?\nAnswer: 2, 7, 281, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4)*2 - sqrt(60))\/sqrt(12))**2 + sqrt(40)\/(sqrt(64)\/sqrt(2)).\nAnswer: sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1653 - -1658. Solve -19*a - i*a - 9*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -18*f + 14*f. Suppose f*g = 2 - 8, -v + 44 = -3*g. What is the greatest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2510565512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (2 - -1)\/(-1). What is the highest common divisor of 2 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**4 - 175*d**3 + 170*d**2 + 925*d - 825. Let a(g) = -g**3 + 3*g**2 + g - 1. Let s(p) = -45*a(p) + i(p). Suppose s(n) = 0. Calculate n.\nAnswer: -26, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -4. Is 190 - (k - (0 - 2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 5\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.544978 to 1 dp.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 20*i + 308 = -27*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 16. What is the third derivative of h**2 - 4*h**2 + 2*h**r - 2 + 2 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501327853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 less than -99\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 + 1418698*y**2 - 34755748*y + 17023200 = 0. Calculate y.\nAnswer: 1\/2, 24, 354650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a - 105. Let f be x(-7). Let b(n) = n**2 + 7*n - 6. Determine b(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 + 28*r - 12. What is d(-7)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71405342?\nAnswer: 2, 1117, 31963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/1118882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 388289, 388288, 388287?\n\"Answer: -n + 388290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-12)*g*g**(-1)*g*g**(-2\/15)\/g*(g*g*g\/(g\/(g*g*g**(-4\/17)*g)))\/g*g assuming g is positive.\nAnswer: g**(-1624\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 8*n - 10. Let l be n\/(-10)*(-6)\/(-3). Sort -5, 0.3, l in ascending order.\nAnswer: -5, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 - -79. Let v be ((-14)\/w)\/((-3)\/(-12)). Suppose v = 3*f + 5*a, f + 1 = -3*a + 2. Solve -r + 2*g = 7, -2*r + 5*r - f*g + 11 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 81\/15)*-20. Solve -o = -5*o - u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 16658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 15, -4*z + 2*x + 252 = 6*x. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (158 - 161)*(21\/9 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5\/2, -2\/2975, -0.11?\nAnswer: -2\/2975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*10 + 0\/(-2). Let g(f) = 7*f**2 + 2*f + 1. Suppose 3*k = -1 + 19. Let b(y) = -14*y**2 - 5*y - 1. Let m(h) = c*g(h) + k*b(h). Let m(j) = 0. What is j?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5723, 11443, 17163, 22883?\nAnswer: 28603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892 is divided by 97?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/7 + 50*q**3\/7 + 54*q**2 + 486*q\/7 - 2916\/7 = 0. Calculate q.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1153 - 1153. Solve w = -3*v - 4*t + 7, -28 = -4*v + 5*t + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((-236 - -243) + (-7 - (-4 + 1)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -376986 divided by 125662\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(140)*-2)\/((sqrt(70)\/sqrt(5))\/sqrt(2)))\/(sqrt(490)*4 + sqrt(10) - (sqrt(10) + sqrt(40))*-5).\nAnswer: -2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2074626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 534115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 6289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 0 (c) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*x - 886 = 2495 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/10 + 2\/10. Let a be 0 - (b + -1 + -1). Let l(q) = q + 2. What is l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 4\/7, -13, 39?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-510)\/(-17)))\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, 4, 17\/5, 0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65 + -4147c?\nAnswer: -41503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(4 + -1) + -4 + 51. Suppose 0 = -c*k + 13*k + 165. Let d be ((-4)\/(-2))\/((-2)\/(-6)). Solve 0 = -x - 3*z - 1, 4*x - k = 3*z + d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -788*r + 834*r + 0 - r**3 + 3 + 2 as j*r**3 + w*r + f*r**2 + u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w*w**(2\/57))\/w*w)*w**(-17)*(w\/w**2)**(-32) assuming w is positive.\nAnswer: w**(853\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -142, -1\/6, -0.34?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 2. Let p be t(-3). Let d(y) = 17*y - 3. Let f be d(3). Suppose -f - p = -3*k - 2*s, k + 4*s = 14. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/6 (c) -2\/5 (d) 89.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 988 = -3*s + 630, 2*i = -3*s + 1625. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 31003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3668 is divided by 675.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2\/19, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -524, -526, -528, -530, -532?\n\"Answer: -2*f - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.9988 - -11. What is q rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132635665.\nAnswer: 5, 26527133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*y = -4, -y = -2*y + 2. Let m be -6 + 5\/(20\/8). Sort -5, 5, m, z in decreasing order.\nAnswer: 5, z, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 2515951944816?\nAnswer: 2515951944815.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(54)\/sqrt(3) - sqrt(18)\/(sqrt(36) - sqrt(36)*2).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0034495 times -4\nAnswer: -0.013798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/10, 16, -17\/7, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18752479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*w + 4)*((3*w - 3*w - w)*(4*w - 3*w + w) - w + w - w**2 - w**2 - 2*w**2 - 3*w**2 - 3*w + (-w + 0 + 0)*(w - w - 2*w)).\nAnswer: -28*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - v = 9723, -5*w + v - 5*v - 48617 = 0. Let k = w - -6255. What is k rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 310195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/1981 - -22381\/11886. Let x = 111453\/896 - 60677527\/174720. Let g = x + 2944\/13. Calculate the common denominator of j and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3073 - -0.4073. What is the smallest value in -1\/3, 0, -524, a?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267 + 342. Let v = 7 - -8. What is the highest common divisor of l and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/21*(-1 - -7). Suppose g*w = 3*w + 2. Suppose -28 - w = -5*f. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.137642 nanoseconds in hours?\nAnswer: 0.000000000008649345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 45*f + 22. Let y be m(45). Suppose 0 = -y*g + 56 + 32. Solve -g*n - 16 = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148653436.30301942 + -148654806.303. Let z = 1370 + y. What is z rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 467670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 9*x - 2. Let h be g(7). Let u be (-2)\/(-10) - h\/(-15). Let z = 4 + u. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 + -14.31. Let y = w - -12.98. Let p = -8.38 + y. Round p to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 0*s + s - 5, 8 = -2*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {w: 5, h: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z + 31. What is k(8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 10*p = -22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9629?\nAnswer: 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 273 = -159. Suppose 10*s = 7*s + w. Let n = s + -56. Sort -3, -5, n in decreasing order.\nAnswer: -3, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 - 26*q - 54. What is l(-6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000122 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = 3*d + 16, -3*d = 2*u + 4. Suppose d*b - 7 = 35. What is the remainder when 36\/b - (-2)\/7 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 11:48 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6552 and 148239.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {p: 6, f: 7, n: 1, i: 2, o: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 3 = -74*g - 202 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = 6. Suppose -3*a + 2*i - s = 0, -2*a + a = -i + 2. Let j = -1.35 - -2.35. Put 4\/5, j, a in descending order.\nAnswer: j, 4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 20214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 7836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*r + 275 = -5, 5*k - 3*r = 312. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 7*z - 2. Let p be n(-6). Let c = -6 - -6.1. What is the closest to 1 in 1\/8, p, c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19769024.9 rounded to the nearest 100000?\nAnswer: 19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(243)*1 + (sqrt(243)*1 - sqrt(243)) + -5 + 5*((sqrt(243) - sqrt(243)*-1) + 3))**2.\nAnswer: 1782*sqrt(3) + 29484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -17 + 10 - (1 + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 108111 + -7 + (1 - (4 - -1)). Round z to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 170311580 to the nearest one hundred thousand.\nAnswer: 170300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**2 - 4*t**2 + t**2)*(-30*t**2 - 61 + 270 - 233) as n + w*t**4 + z*t + r*t**2 + i*t**3 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87100903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98710*q**4 - 2*q - 737506?\nAnswer: -394840*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26704\/7 + 250955\/63. Suppose -4*n - n = 845. Let s = n + m. What is the nearest to -1 in -4, 0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -75. Let g(t) = -21*t**2 - r*t**2 + 40*t**2. Let b(a) = -3*a. Let d(u) = u. Let l(z) = -2*b(z) - 5*d(z). What is g(l(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 7*c - 5*c - 379, -373 = 5*h + c. Let f = h + 124. Calculate the remainder when f is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50879863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34551*f**2 + 38859*f**2 - 77651*f**2)*((2 + 2 - 2)*(0 + 4 - 5) - 4 + 1 + 2).\nAnswer: 12723*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582565 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 100\/(-1700) + 6439518\/51 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510785 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {c: 19, v: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038479 to the power of 1\/2, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -439 + 398.7. Round y to zero dps.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -2*r**7\/945 + r**6\/27 - 4*r**5\/15 + 28*r**4\/27 - 64*r**3\/27 - 213*r**2. Suppose j(c) = 0. What is c?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 4*m. Let u(x) = -67*x + 3. Let a(g) = 64*g - 2. Let k(y) = 4*a(y) + 3*u(y). Determine f(k(n)).\nAnswer: 6050*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 549217.5 months?\nAnswer: 45.768125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 1, m: 1, r: 1, k: 1}. What is prob of picking 1 r, 1 m, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 6 = 4*r - 11, 5*r - 4 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24293\/16198 - -2\/8099. Which is the second smallest value? (a) 0.7 (b) -48 (c) q (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 t, and 1 z when four letters picked without replacement from {z: 5, t: 7, c: 4}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - 10. Let k = -84 - l. Let v = -54.23 - k. What is v rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/14 and -57\/14602?\nAnswer: 14602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 5 - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 775546*l**2*w + 241737806*l**2 + 52*w wrt w.\nAnswer: 775546*l**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5334 and 26630884?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -279*r**2 + 559*r**2 - 278*r**2 + 97 + 13*r. Calculate the remainder when j(-13) is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 5*w - 2. Let t be z(-6). Suppose i = -2, -t*n - 39 + 137 = -i. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.32? (a) -5\/2 (b) 4 (c) 0.2 (d) -130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208 - -293. Let c = l - 84.99911. What is c rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + f + 0)*(2 - 14*f - 2).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5573 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by -20776\nAnswer: 45\/5194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -157 - (14 - 11). Suppose 3*m + 78 = 3*o, -3*o = -8*o - m + a. Let v(q) = 27*q - 58*q + o*q. Calculate v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y - 6*y + 5*y - y**2. Let p(q) = -3*q - 35. Let x be p(-14). What is the remainder when 40 is divided by t(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + -1 - (195 + -253 + 66)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5351*l + 5351*l - 9*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5766*-39.\nAnswer: -22.4874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 2 + 47*g**3 - 20*g**3 + 0 to o*g + m*g**2 + d + p*g**3 and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13992 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24879\/22 + -1131. Calculate the common denominator of 71\/6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from qpvqvuvucu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 75.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 19. Let z be (n\/(-3))\/(4\/(-18)). Suppose -o = 2*y - 2*o - 97, 3*o = -z. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/38 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + -2 + -10 - -104 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -32. Let n = -1 - -7. Let q = 11 - n. Put 1, i, q in decreasing order.\nAnswer: q, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -559653, -1119319, -1678985?\nAnswer: -2238651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-76) - 26\/8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + 3. Suppose 4*p = -2*i + 48, i + p = -2*i + 57. Calculate the smallest common multiple of i and (60\/(-35))\/((-4)\/w).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 9. Let c = -3 - l. Which is smaller: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -45.1. Let s = 2 + m. Let o be ((-3520)\/672 - -5)\/(6\/(-28)). Which is the second biggest value? (a) s (b) 2\/5 (c) -2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5195, 0, -4 in increasing order.\nAnswer: -5195, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110935309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*r**2 - r**2 + 3*r**2)*(15 + 162*r - 15) - 3*r**3 + r**3 + r**3 + r**2)*(-5 + 3 + 0) to t + q*r**3 + j*r**2 + y*r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*h + 3 + 2 + 1 + 6*h wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - -2 - 10) + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-8) + 10\/(-4). Let q = r + 4. Let k = 11 + -6. Put k, 3, q in decreasing order.\nAnswer: k, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*t**5 + 225*t**5 + 56*t**2 - 95*t**5 wrt t.\nAnswer: 900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110021012000 (base 3) to base 12\nAnswer: -b7876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*3 + (-6)\/(-2). Let v = 48 + o. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -64\/3*t**3 - 49*t**2 + 0 + 118*t - 1\/6*t**4. Differentiate u(m) with respect to m.\nAnswer: -4*m - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 654131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-31926)\/408 + (-21)\/12.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 79*l + 61*l + 39*l as c*l**2 + o + d*l and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3 + 724*g**2 + 14*g + 238 wrt g?\nAnswer: -12*g + 1448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 209071 divided by 225\nAnswer: 209071\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (-3 + 59 - 9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 26466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = s + 5*a - 58, 0 = -5*a + 25. Suppose -5*n = -5*c - s, 4*c = -n - 2*n + 95. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 + 212 = 53*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44666, -45973, -47280?\n\"Answer: -1307*x - 43359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 15. Let f = z - 2. Find the second derivative of 3*n + 0*n**2 - n**2 - f*n wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*r - 8, -4 = 4*f - 0*f - r. Suppose -3 = -3*v - f*v. Suppose -v = -w - 0. Is 1 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-180)*(-66)\/1. Let n(q) = -15*q - t*q - 13*q + 41*q. Let a(y) = -y - 1. Let h(f) = -3*f**2 - f - 1. Let i(l) = -3*a(l) + 3*h(l). Give n(i(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -256\/3 - -86. Let p(m) be the first derivative of 2 + m - w*m**3 + 0*m**2. Differentiate p(i) with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.86 - 18.86. Sort -2\/3, a, -20, -3\/4.\nAnswer: -20, a, -3\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(5*(1 + sqrt(475))*-4 - (sqrt(475)*-1*-1 + sqrt(475) + 2)) + 3)**2.\nAnswer: 184800*sqrt(19) + 8296000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 62. Let s = v - -15. Which is the closest to s? (a) -5 (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 27 = 18. Let q be (6\/l)\/(5\/(-15)). Suppose 2*a + 212 = 3*s - 44, 3*s + q*a - 248 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17207 or -240903\/14?\nAnswer: -240903\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Suppose 5*x - 23 + 3 = 0. Suppose 33 = 5*w + 4*n, -5*n - 12 = -x*w - 2. Solve -4*u + 9 = -q - w, -u = -l*q - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -99*v + 51*v + 61*v. Let h(a) = -4*a. Give h(f(j)).\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 4*u**2 - u. Let b be x(-4). Let j be ((-9)\/6)\/((-27)\/180). Suppose -h = h - j. Solve 4*g + 7 + 9 = -b*y, h*g - 3*y - 20 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5\/4, -2, -0.4, 1\/251, 548?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from afqfqnfhaqafadhffq?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-5\/2)\/l*l)*(l\/l**(-1\/20))\/l assuming l is positive.\nAnswer: l**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 894913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2712 is divided by 316.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -20 + -6 - -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 22 - 6)*(3 - 1 - 3)*(0*y - y + 0*y).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5\/7 + 330*s**4\/7 + 7986*s**3\/7 - 1236*s**2 - 7989*s\/7 + 8322\/7 = 0. What is s?\nAnswer: -73, -38, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.792 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = 2*v. Suppose 2*o - 6 = 0, -49 = -4*h - v*o - 0. What is the least common multiple of h and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 332*s**3 - 314*s**3 - 330*s**3 + 980*s**3 + s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30501047 * 6\nAnswer: 183006282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34277771 to the power of 1\/2, to the nearest integer?\nAnswer: 5855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10480\/(-32))\/(5\/(-2)).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2 - 84*t - 7215 = 0.\nAnswer: -37, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-60)*69\/(-230)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(-2)))*o)\/o**(-8))\/((o*o**(-2\/29)\/o)\/(o\/(o*o**(1\/3)*o))) assuming o is positive.\nAnswer: o**(934\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(228)*1)\/sqrt(12))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 361331, 722659, 1083987?\n\"Answer: 361328*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 30*h = 3*v - 15, 7*v + 5*h = 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0)\/(13 + -16).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -709.271 minus 0.01?\nAnswer: -709.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/29 and 95\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119 + -1114.\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*k = -9, -14 = -l + 3*k - 11. Suppose -2599 = -l*n - 0*n - 4*h, -4*n + 3461 = h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 337.596\nAnswer: -4051.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198*g**2*r**3 - 295*g**2*r**2 - 402*g**2*r + 15*g**2 + g*r**2 + g*r - 1880384*r**3 - r**2 wrt r.\nAnswer: 1188*g**2 - 11282304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-12))\/(1\/12). Suppose 5*t = 2*h + 15, 0*h + 5*t - 15 = h. Let r be (-225 - h)\/(7\/14 + -2). Calculate the highest common divisor of r and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (2 + 4 + 1). Let b(f) = 0*f**2 + f + 6*f - 1 - 4*f**2. Let t(c) = -3*c**2 + 6*c - 1. Calculate m*b(r) + 5*t(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*l + 4, -3*l = -4*v + 2*l + 37. Let j(z) = -z - 2*z + 16*z**v + 6*z**2 - 9 - 15*z**3. Determine j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 (base 5) in base 4?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 29 = -h - 3*q, h = -4*q + 28. Let a = -83 + 100. Suppose -36 = -20*z + a*z. Calculate the greatest common factor of z and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + 2*v**2 + v + 4. Determine c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 e when four letters picked without replacement from bbbbebebbrbr.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 44067 = 37235. What are the prime factors of c?\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/44805 and -74\/3045.\nAnswer: 313635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4185890.\nAnswer: 2, 5, 19, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 438 in descending order.\nAnswer: 438, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7909586 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1752, 3486, 5204, 6906, 8592, 10262?\n\"Answer: -8*w**2 + 1758*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = -9*d + 7*d + 69. Solve v + 3 = d*y + 2, -15 = -5*v + 5*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 5\/2, 3, -1115.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -80\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 v when three letters picked without replacement from vooso.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -30\/131 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 37*b + 6 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.11 (c) 5 (d) -9.8 (e) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-120))\/((-84)\/10). Let n = b - 517\/3276. Let j = 6 + -9. What is the nearest to n in 2\/11, j, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.74 + 5.54. Let g = -6 + 6.4. Let v be ((-1)\/(-1 - -2))\/1. Put v, g, w in decreasing order.\nAnswer: g, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-50)\/5)\/((-3)\/(-6)). Is (-1055)\/x*1*28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/48 (b) 7 (c) -0.074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 15. Suppose 0 = 2*v + 3*v - 35. What is the first derivative of -u - v + w + 2 wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2271, -1916, -1561, -1206, -851?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3835883 is divided by 28841.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 5*t + 2. Let c be u(3). Let r = c + -2. Let f be r\/((-7)\/((-14)\/4)). Solve f*z = -3*v + 9, 5*z - 3*v + 10 = 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 + 141 = 4*h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -979, -1077, -1177, -1279, -1383, -1489?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -9, 24, 77, 156, 267, 416, 609?\n\"Answer: g**3 + g**2 + 9*g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -5*w**7\/8 - 3*w**6\/10 + w**5\/10 - 166*w**3\/3 - 125. Let n(l) be the third derivative of s(l). Factor n(d).\nAnswer: -3*d*(7*d + 2)*(25*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(96) + sqrt(6))\/sqrt(3) + ((4*sqrt(50) + sqrt(50)*5)*-2)**2.\nAnswer: -5*sqrt(2) + 16201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54\/13 + -815\/26. What is the common denominator of g and 22\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-12))\/(((-1)\/3)\/(5\/20)). Solve -3*f + 8*o = 3*o - 13, o = -3*f + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/351)\/((-6)\/(-39)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*r*y**4 - 14*r*y**3 + 13*r*y**2 - 8*y**4 - y**2 + 25*y + 8 wrt y.\nAnswer: -504*r*y - 84*r - 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4783.222nm in meters?\nAnswer: 0.000004783222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*v - 1353, 4*m = -m - 2*v + 3455. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.4. Let r = -5 + 5.3. Let l = r + u. What is the third biggest value in l, -0.2, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7458 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -43*r**2 - 833*r - 4226. What is y(-5)?\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30711.65905 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876017 >= 1875996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 - 54*u**2 + 27*u + 50*u**2 - 27*u.\nAnswer: -4*u**2 + 278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 147. Calculate the lowest common multiple of u and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**2 - y**2 - 7*y**2 - 55*y**2 - 46*y**2 + 98*y**2 + (y + 0 + 0)*(-2*y - 3*y + 3*y).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2248)\/7868*(2 + -9)*(-9)\/(-4059)\nAnswer: 2\/451","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t**2 - 2*t - 4. Suppose 6*g - 2 = 2*g + 2*g. Let m(w) = -1. Determine g*v(u) - 4*m(u).\nAnswer: -12*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 250, 511, 786, 1075, 1378, 1695, 2026?\n\"Answer: 7*z**2 + 240*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/241 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -36729778.1 to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + 54\/(12 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4*1*sqrt(171))\/(2*sqrt(441)) - ((sqrt(209) + (sqrt(209) - (1*sqrt(209) - sqrt(209) - sqrt(209))) + sqrt(209))*2 - sqrt(209))\/(-1*sqrt(99))).\nAnswer: -5 + 43*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:26 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*-4*(sqrt(2) + sqrt(4)\/sqrt(2) + sqrt(2)))**2 - (sqrt(6)\/sqrt(3) + -2 - sqrt(128)*-1).\nAnswer: -9*sqrt(2) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 20*j**2 - 30. Suppose 2*q + n = -4, -2*q - 2080*n + 2081*n = 0. Let h(l) be the first derivative of -l**3\/3 + l - 1. What is q*f(u) - 30*h(u)?\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 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: Is 61640 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v**3 - 8*v**2 - 14*v - 3. Let q(f) = 2*f**3 - f**2 - 2*f - 1. Let c(i) = -d(i) + 6*q(i). Let l be c(1). Find w such that 0 + l*w - 2\/9*w**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15218, 14503, 13788, 13073, 12358, 11643?\nAnswer: 10928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/43 - 9\/817. Let l = 3 + -2. Let i = 6 - l. What is the second biggest value in p, -1\/10, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/31, -1\/6, 1\/3, -1\/4, -32 in increasing order.\nAnswer: -32, -1\/4, -1\/6, -1\/31, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19713937 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*r = -181*r - 2085. Calculate the remainder when 151 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5 + 3828*f**4 - 19186*f**3 + 7716*f**2 + 76712*f - 92112 = 0.\nAnswer: -1919, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874730*j + 303 = 5*i + 874723*j, -189 = -3*i - 3*j for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 - -4.6. Let p be (16\/24)\/(2\/6). Which is the closest to 1? (a) p (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-5400384\nAnswer: 1620115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**3\/3 + 2*i**2 + 5*i + 1. Calculate the remainder when 12 is divided by u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*n + 7525 + 59 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*o + 121*o + 61*o + 312*o = -14076 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 9. Let y = c - 3. Suppose -3*j - 16 = -7*j. Calculate the least common multiple of y and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429336 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 48*q**2 + 286*q - 1086. Determine u(53).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1389869, -1389871, -1389873, -1389875?\nAnswer: -1389877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 20 = -0*v. Is 4\/10 - 2052\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 68904275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 398319.\nAnswer: -398324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - (-2 - 3 - -5 - 13).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2007653 and 1457?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggmrgbrrirgrrrbg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p + 38*p = -6536. Let x = p - -410. Does 57 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 16, -1\/4, 0.15, 0.6, 2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -12 - 18 - ((-1 - -2) + 9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1498 take away -14.2?\nAnswer: 1.0502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - -89. Let d(i) = 2*i**2 + 6*i + 36. Let z be d(l). Let b = 17 - 10. What is the greatest common divisor of b and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {u: 1, q: 1, n: 1, c: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1040 + -1039. What is the biggest value in q, -0.1, 2, 8, -1\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((3*sqrt(200))\/sqrt(4) - (4*sqrt(50) + 1))**2 + -4)*-3 + 2.\nAnswer: -598 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -21188 not equal to -20248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000587403 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*i*i**(-9)*i)**(-18)\/((i\/(i\/i**10*i))\/(i**(-1\/6)*i))**(15\/7) assuming i is positive.\nAnswer: i**(577\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i = 16*i + 3*l - 13, -3*l + 1 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-96)*140\/28)\/(3\/(9\/5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -2*h**3\/39 - h**2 - 84*h\/13 - 1494. Factor d(u).\nAnswer: -2*(u + 6)*(u + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61672853 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 1, s: 1, f: 1, v: 1, r: 2}. Give prob of sequence fr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 208\nAnswer: -5\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-189738)\/24*(-3 + -1).\nAnswer: 3, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 - -108.9968. What is v rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41 and -41 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 49.01728 micrometers?\nAnswer: 0.004901728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 808 or 708?\nAnswer: 808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 + 2*n**3 - 5*n**3)*(-81*n + 19 + 52*n - 18 - 2*n - 3 + 3 + (1 - 2*n - 1)*(2 + 2 - 2)).\nAnswer: -35*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u + 3*j, -7*u - 4*j + 4 = -3*u. Suppose -6*m + u*m = -10. Solve 9 = o + 3*w - 3, 16 = 3*o + m*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1636 + 2149 = 9*o. Suppose 0 = -0*p + p - 20. What is the remainder when o is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2425 and 76436?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.80085 rounded to 1 dp?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1269*x - 52083. Determine n(41).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 2*i - 28. Let d be l(6). What is the units digit of (-1 + -925)\/1*(-46)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 + 6648\/(-56). List the prime factors of (-135)\/(14\/b + (-15)\/17).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148141907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 + 4*u**2 + 4*u + 0*u - 1 - 2*u + 0 to i*u**3 + v*u**2 + t*u + b and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10020\/(-1336)*(1 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518 + 1215.\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, d: 2, z: 2, n: 3, s: 3}. Give prob of sequence sns.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 139*s**2 + 5*s - 123. What are the prime factors of t(-7)?\nAnswer: 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 8553 = 8630 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5 - 2 - 3*u - 4*u + u**2 + 2*u. Determine w(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a472 (base 11) to base 13.\nAnswer: 47820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 375*s**2 + 138*s + 1 - 2*s**4 + 377*s**2 - 1126*s**2 - 2*s**3 + 376*s**2 as d*s**4 + w*s**3 + k*s**2 + y*s + i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1993, -2, -1, -5, 83 in decreasing order.\nAnswer: 1993, 83, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25890081 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 5. Let b be c(4). Suppose 4*k + y - 5 = 3*k, -b = -2*k - y. Calculate the highest common divisor of k and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 6*h**2 + 0*h**3 - 5 + 2*h - 2. Let r be f(6). List the prime factors of 1*1*(r + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -881, -1793, -2703, -3611, -4517?\nAnswer: -5421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/4 + h**3\/6 + 10*h. Let b(c) = c**2. Determine 6*b(t) + y(t).\nAnswer: 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166608569.69956 + 166600348. Let r = -8237.7 - x. Let g = r - -16. What is g rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-12)\/16)\/((-3)\/(-70)). Calculate the greatest common divisor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10020222 (base 3) to base 8\nAnswer: -4507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2694, 2559, 2422, 2283, 2142?\n\"Answer: -v**2 - 132*v + 2827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, -3, -3.32, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/161136 and -151\/499074.\nAnswer: 35933328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95173041 to the nearest integer?\nAnswer: 9756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -2*v + 4*l - 16, 4*l = 3*v + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4*f + 50, 3*k + 5*f = -3371 + 3413 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*q - 71*q = 618*q + 2102 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 8*f. Let s be u(-6). Suppose x + s = -41. Is x\/(-10) + 6\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27\/56 + -5\/14. Let c(t) be the third derivative of -2*t**2 + 0 - p*t**4 - 2\/3*t**3 + 0*t. What is c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwnwnbnzndc. What is prob of sequence zd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42204\/(-123))\/(1 - (-542)\/110). Let v = -2384\/41 - o. Let d = v - -6283\/978. Calculate the common denominator of 18\/5 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 1 - (-6)\/(-2). Suppose 5*x - 15 = -y - 0*y, -2*x = 2*y + 2. Sort y, c, -2 in descending order.\nAnswer: -2, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/5))\/(m\/m**(-3\/7))*(m\/m**(-1\/5))\/m**(1\/7))**14 assuming m is positive.\nAnswer: m**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260982.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.24261 hours?\nAnswer: 18873396000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33002445 (base 6) in base 16?\nAnswer: -ef59d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1009 and 1405537?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b9a94 + -5?\nAnswer: 1b9a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.787522 rounded to 2 decimal places?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 5*f + 5*f)*(-f**2 + 2*f**2 - 3*f**2) + 3*f - 3*f - f**3 + (2*f - 2*f - f)*(-f**2 + 0*f**2 + 3*f**2) - 2*f**3 + 4*f**3 - 5*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 352*i**2 + 5081*i - 9105880.\nAnswer: 704*i + 5081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 minutes after 1:37 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Work out -3631178 + 0.03842952.\nAnswer: -3631177.96157048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) - (sqrt(320) + -3)).\nAnswer: -12 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299994229.\nAnswer: 299994229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*c + 69*c + 69*c - 265*c + 61*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.01 (b) 0.1 (c) 0.2 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 - 2234*v\/5 - 1247689\/5.\nAnswer: -(v + 1117)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**3 + 5*n**2 + 7*n - 18. Let x(q) = -q**3 + q**2 + q - 3. Let m(c) = -6*d(c) + 39*x(c). Factor m(r).\nAnswer: 3*(r - 1)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 27*h**3 + h**2 + 9*h - 18. Calculate g(2).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 9 + 16. Let s = 4 + -6. Let b = s + v. Solve 0 = -4*y - b - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 + 2*s - 6. Suppose -4*h - 5*v = -48, -4*v - 14 + 2 = -4*h. Is t(h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1.1?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Let p(g) = 5*g - 5. Let q(n) = p(n) + 4*y(n). Let v be q(7). Find the third derivative of 13*r**v + 5*r**2 - 4*r**2 - 10*r**6 wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 2*m - 4*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - q + 5, 4*j = 6*j + 5*q + 1. Suppose 95 = j*y + 5. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Let q be (-1)\/((s\/224)\/1). Let h(n) = -n**3 - 23*n**2 + 75*n - 62. Let o be h(-26). Calculate the greatest common factor of q and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.7433 decades in centuries?\nAnswer: 2.77433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2 = 7905*l - 7907*l, 2*l - 3*i - 5 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 310 - 3587 = 2688. List the prime factors of p.\nAnswer: 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 10 - 8. Let w(a) = -a**3 + a**2 + 2*a + 49. Let i be w(0). Let s = i - j. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110146141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 23*p - 36. Let x be p\/25*(-10)\/4. Which is the biggest value? (a) x (b) 1\/6 (c) 0.4 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txfvfbb. Give prob of sequence vt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/12 + 88\/114. Let x = -1.2 + 0.9. Which is the third biggest value? (a) -0.4 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -1423 (c) 23 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2 - 4. Suppose -f = 3*v - 28, -p*f - 2 = -4. Suppose 2*y + 0*k - 5*k = 57, -5*k = y + v. Solve 7*z + y = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4767668172.\nAnswer: 2, 3, 43, 283, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -1, 10, 19, 26?\n\"Answer: -w**2 + 16*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80)\/(-6) + 12\/18. Let t be 4\/f - (-1642)\/(-14). Let z = -79 - t. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 3. Let b be n(0). Calculate the remainder when (32 - 4) + b + 0 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 16) to base 12.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11*-13.7\nAnswer: 150.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*o - 888 - 37 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9363404?\nAnswer: 2, 29, 53, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 402176.1l?\nAnswer: 402176100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.1 and 10.3.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3*s**3*x**2 - 258*i**3*s**3*x - 2*i**3*s*x**2 - 687*i**2*s**2*x**2 wrt s?\nAnswer: -6*i**3*x**2 - 1548*i**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -5 + (2 - -1). Suppose 0 = 3*w - 4*i + 11, 3*w - 5*w - i + 11 = k. Solve -2*t = -3*t + 2*f - 3, -w*f = 5*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026657 rounded to 5 dps?\nAnswer: -0.00267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364612?\nAnswer: 2, 91153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-2))\/((-3)\/75). Suppose -5*a - r = -4*l, -7*l - 4*a = -2*l - 104. Let f = 166 - 126. What is the greatest common factor of l and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*v**2 - 22*v**2 - 30*v**2 + 2*v**5)*(-3 + 5 - 1) + 3*v**5 + 0*v**5 - 2*v**5.\nAnswer: 3*v**5 - 101*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 - 101*n - 2. Let r(k) = 2*k**2 + k + 1. Give m(x) + 2*r(x).\nAnswer: -x**2 - 99*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l - 1. Let z(s) = 2*s**3 + 8*s**2 + 2*s + 14. Calculate -h(m) - z(m).\nAnswer: -m**3 - 8*m**2 - m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(17632\/57)\/29?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*a*i**3*l - 4254*a*i**3 - 2*a - 2*i**3*l - 9*i**3 + i**2*l - 27878716*i**2 wrt i?\nAnswer: -414*a*l - 25524*a - 12*l - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(2 + 2*sqrt(200) - (sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200)*2 + sqrt(200)) - sqrt(200)) + 5)**2)).\nAnswer: -3040*sqrt(2) + 13232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f + 4 = 48 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/132*3066\/(-5110)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 divided by -1?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.041 and 126.\nAnswer: 5.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**7\/105 + f**6\/15 + 2*f**5\/5 - 1240*f**2. Solve b(q) = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -1, 0.021, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4900 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 2 (c) 3 (d) 4 (e) 6256 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-421 - 1)\/(-2))\/(3\/3). Let t = s - 208. Solve -n + z = t, -z - 2*z + 9 = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5772.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 521155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/20 + -2 - 5312\/(-415)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyigygogdygdloyygldo. Give prob of sequence oigo.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(704)*1 + -5 + 4*(sqrt(704) + -2*sqrt(704)) - 2*(-1 + sqrt(704) + 2)*-5)**2.\nAnswer: 1008*sqrt(11) + 34577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 156129 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2\/4*4. Suppose r*v - 12 = -2*v. Let a = -2 + 4. Which is greater: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = 0, 0*g - 2*r = -4*g + 28. Calculate the remainder when (3 + (-150)\/20)*(-1 + -1) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:15 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 2\/21 (c) -516 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30456 + 16256. Round y to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 - -748\/7. Let s = -3.878 - -3.778. What is the nearest to o in -1\/2, 1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p - 8 = 0. Let f(u) be the first derivative of 1\/12*u**p + 1 + 0*u**2 + 0*u + 0*u**3. Find q, given that f(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1592 + 107 = 2*w, -5*w + 349 = x. Let o = -316 + x. What is the remainder when 73 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 172 = -2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**6\/40 + 7*i**5\/10 - 13*i**4\/8 - 3*i**2\/2 - 11*i + 23. Let p(t) be the second derivative of b(t). Factor p(d).\nAnswer: -3*d*(d - 13)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 62*j. Let y(o) = -67340*o**2 + o - o + 67373*o**2. Calculate y(l(c)).\nAnswer: 126852*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = t - 0*t - 4*v, -v = 3*t - 10. Suppose 3*q - t = 1. Let b(m) = 687*m**3 - m**2 + m. Is b(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40177, 160329, 360583, 640939, 1001397, 1441957?\n\"Answer: 40051*k**2 - k + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (-63 + 71)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/7, 2\/15, -1\/2, 3, 387, -64?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*r + 40 = 3*t, -3*r + 1 = 4*t. Suppose -3*l = t*a - 374 - 20252, -a = 3*l - 5152. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dd - -6?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 0*k + 15*k)*(-7*k + 2*k + k) as x + v*k + b*k**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(-14*4\/16)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = 7. Let x(j) = -51*j + 1127. Let k be x(22). Suppose -3*f + 5 = 32. Sort u, k, f.\nAnswer: f, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15209*p - 1399207. Determine l(-92).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - l + 2. Let s be o(1). Let d(j) = -18*j + j**s - 6 + 33*j - 16*j. What are the prime factors of d(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1397712 and -1397712 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.8 - -2.2. Let h = a + -5.9856. Round h to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261385501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3221366*f**3 - 2*f**2 - 49834*f.\nAnswer: -19328196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89533795 to the nearest integer?\nAnswer: 9462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/384 or 1?\nAnswer: -25\/384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 - 79 - 4595*u + 159 in the form x*u + t and give x.\nAnswer: -4595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2 + 3*j - 1 - 7. Suppose -3*y + 9 = -i - 2*i, -4*y - 5*i = -21. What are the prime factors of h(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 6723.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 3, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -10. Let c be (-34)\/l + (-6)\/15. Suppose 0 = -c*a + 9 + 57. What is the highest common factor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 8\/33*s**3 + 1\/1155*s**7 - 3\/110*s**5 + s**2 - 14 + 0*s + 1\/330*s**6 - 1\/66*s**4. Find j such that r(j) = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -127, -388, -783, -1312, -1975, -2772?\nAnswer: -3703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 422520229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18846, 37307, 55756, 74187, 92594?\n\"Answer: -b**3 + 18468*b + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 2, 4\/7, 1\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(1700) + -1 + 1 + -3 + -4 + 3 + (sqrt(1700) - sqrt(1700)*2))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/5)\/s**(-4)*((s\/(s*s**(-1)*s*s))\/s)\/s**(1\/10) assuming s is positive.\nAnswer: s**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/120 and 61\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.1 + -53. Let u = 0.13 + 5.87. Let d = 1 + u. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**1)\/p)\/((p**(-8)\/p)\/p)*(p*p\/(p\/(p*p**(-1)\/p)))**36 assuming p is positive.\nAnswer: p**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-27) + 4\/18*3. Is b < 10\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/8857280 and -71\/85440.\nAnswer: 26571840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.25 - 1.25. Let g be (-1)\/((-7)\/(-2) - 0). Which is the closest to g? (a) 3 (b) 4\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -55\/4, -2\/7, -2, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 - 299 - 44 = 49*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 549, 549, 553, 567, 597, 649, 729, 843?\n\"Answer: u**3 - 4*u**2 + 5*u + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94756921*q**3 + 6*q**2 + 85077*q + 64 wrt q?\nAnswer: -568541526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyllllnnllylyny. What is prob of picking 4 n?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 f when four letters picked without replacement from bmbbbfffbmffb.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/77 and 71\/35028?\nAnswer: 385308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*2\/(1 - -1) + 7. Suppose g*x = -0 + 30. Solve -3*v + 14 = 5*o - 5*v, 0 = o + x*v - 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*k*y**3 - 3*i*k*y - 20097*i*y**3 - 12*i*y**2 - k + 9*y**3 - 9*y**2 wrt y?\nAnswer: 6*i*k - 120582*i + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03541 and -0.4?\nAnswer: 0.014164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/2)\/i*i**(2\/49))**(-3\/10) assuming i is positive.\nAnswer: i**(-747\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -30. Let c = z - -8. Calculate the remainder when 48 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 times -0.04185\nAnswer: -1.29735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(3 + 159\/6). Suppose -3 = -4*s - r. What are the prime factors of 27\/(s\/(-8) - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3555\/8 or 445?\nAnswer: 445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -791 + 791. Solve -2*p - 147 + 139 = d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382277 divided by 563.\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -84. Let y = d - -44. Let p = y + -18. What is the closest to 0 in -2, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91119457 to the nearest integer?\nAnswer: 9546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 807*d**4\/4 - 117*d**3 - 851. Find the third derivative of k(r) wrt r.\nAnswer: 4842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -125*y**4 + 1852*y**3 + 18603527 wrt y.\nAnswer: -500*y**3 + 5556*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16\/21 + 22\/21. Let w be 0 + 4 + 8\/(-4). Which is the closest to 3? (a) m (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*s - 1779, 3*s + 959 - 74 = 2*z. Suppose 13*j - z = 10*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3066.14 take away -7.873?\nAnswer: -3058.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*v = 2*v - v - 35, 4*v = 2*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*g + 5. Let y = 1 - g. Suppose 628691 = y*o + 188691. Round o to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6409340365+-0.035\nAnswer: 6409340364.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q + 123 = 6*q - 3 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 3*i**3 + 2*i - i**3 + 4*i**3 - 2*i**3 + (1 - 2*i**2 - 1)*(0*i + i + i) - 954*i**2 + 954*i**2 + 49*i**3 + 0 + 0 + i**3.\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187014799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (14 + 5 - -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 117*f + 1. Let m(h) = -118*h - 1. Give 3*m(c) + 4*q(c).\nAnswer: 114*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 11. Let i(u) = -u**2 - 5*u. Let c be i(y). Suppose 33 = -f + c*f. What is the remainder when 31 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*b + 2*b - 4 = 0, -5*b = -5*j - 10. Let g = -28081163\/5100 + 66007\/12. Let x = 96\/17 + g. Is j greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (39 + -31 + 0 + (-5 - -4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48\/5 + 32\/5*w - 4\/5*w**2 = 0. What is w?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:27 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (10 - ((-3 - -31) + -11)) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151\/4 - -1813\/48. Let w(t) be the third derivative of -1\/480*t**6 + 1\/80*t**5 - 9*t**2 + 0*t**3 + 0 + 0*t - l*t**4. Factor w(s).\nAnswer: -s*(s - 2)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81, -82, -83?\n\"Answer: -q - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + 7*o + 3 - 3*o**3 + 4 - 4*o**2. Let w be v(-5). What is the least common multiple of 2 + 3 + (w - -5) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27040*w - 989*w + 2209*w - 4937*w.\nAnswer: -30757*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**3\/4 + 4749*l**2\/4 + 304545*l\/2 - 628038 = 0.\nAnswer: -123, 4, 1702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -1. Let x = 6 - 2. Let d = 4.5 - x. Which is the smallest value? (a) d (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1564379 + 0?\nAnswer: -1564379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2790 - 1187. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91 - (91 - 57)) + 235.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 28 = -6*o. Let d = -3 + o. Suppose 2 = -z + d. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74318279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16375 - -19.67975. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-1*sqrt(192))*6 - (sqrt(14) + -2*sqrt(224) + sqrt(14))\/(sqrt(162) + sqrt(162)*-1 + sqrt(162)).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258 - 260. What are the prime factors of 727\/(1*(y - (0 - 3)))?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -588 + 716. Calculate the remainder when 254 is divided by k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 + 2 = 0. Suppose 30 = -4*a + 9*a. Let g be (-1 + a)*(0 - -1). What is the greatest common divisor of n and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -14, -12 in increasing order.\nAnswer: -14, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/176 and -73\/784832.\nAnswer: 8633152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5 = -25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77608 and 16646916?\nAnswer: 33293832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 + -55. Let j = z - 35. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00302224682 rounded to five decimal places?\nAnswer: 0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*d - 45, -6*d - 5 = -5*d - 2*q. Solve 0 = -2*n - 3*g - 1, -2*n - 6 = -d*g + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:17 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(448) - (sqrt(448) + 0 + 1)))**2 + ((-2*1*sqrt(70))\/(sqrt(360)*-1))**2.\nAnswer: 88\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-40) - (-28)\/45. What is the closest to -1 in i, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**4\/18 - n**3\/9 - 5*n + 3. Let v(o) be the first derivative of z(o). Solve v(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16*25\/13920)\/(1\/6)\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 2*l**5\/5 + 13*l**4\/6 - 2472*l. Let x(a) = -7*a**3 - 26*a**2. Give 5*p(k) + 6*x(k).\nAnswer: -2*k**3 - 26*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -6. Let l = 5 + 1. Is q > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 6, c: 5, j: 3}. Give prob of picking 1 c and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6*x - 1. Suppose 2*t = -0*t + 14. Let s be f(t). Let a(w) = w**3 - 6*w**2 + 6*w - 6. Does 15 divide a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113)\/(-10) + (29 - 40)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*v + 98*v = -13230. What is the highest common divisor of v and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119595108.6 + -437313081.4. Let x = m + 556908211.00000013. Let i = -21 + x. Round i to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 108 + 100 = 0. Solve 3*h = v*u - 0*u - 9, 2*h - 28 = -3*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-3 + 6) - 88\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 2.27756.\nAnswer: -6.83268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - o + 4. Let x be m(0). Let y = -8 + 11. Solve 3*a - y = -x*u, -u + 1 = -a + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14\/27, -2\/15, -30, 0.3, -4 in increasing order.\nAnswer: -30, -4, -14\/27, -2\/15, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + 2*h**5 + h**5 - 2*h + 12*h**5 + 21*h**5 + 16*h**5 + (6*h**3 - h**3 - h**3)*(3*h - 3*h + h**2).\nAnswer: 54*h**5 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19908 - -24049. List the prime factors of q.\nAnswer: 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -654 + 653.99731. Round q to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:59 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-6)\/((-24)\/16). Suppose a*k - 5*m = 3*k - 13, 5*m = 4*k + 7. Let b = 3 + 17. Solve k*n = -3*n - b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - k**2 - 4*k**2 + (2*k + 3 - 3)*(1 - 1 + 2*k) - 1 - 2*k**2 + 1 + (2 - 2 + 2*k)*(-k - 3*k + 2*k) + 4*k**2 - 2*k**2 + 2*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 3*n + n + (2*n - 3*n + 4*n)*(0 + 2 + 0))*(-234*n**2 - 87*n**2 - 1473*n**2) to the form i*n**3 + l*n + j*n**2 + g and give i.\nAnswer: -8970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2957 is divided by 2486?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - 1571*i**2 + 4768*i**2 - 3 - 3*i**3 - 1571*i**2 - 1626*i**2.\nAnswer: 2*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 3*z - 205. Suppose z = -2*r + 40. What is the nearest to 1 in -2, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/4)\/((-37)\/(5365\/(-58))*85\/(-476))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i**4 + 1\/60*i**5 + 0*i - 1\/112*i**8 + 0*i**3 + 0*i**7 + 0 + 3*i**2 + 0*i**6. Find the third derivative of c(k) wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 4*q - 25. Calculate s(8).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.93 + -5. Let z be ((-2)\/28)\/((-264)\/42 + 6). Which is the nearest to z? (a) r (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3273, 22929, 76399, 180627, 352557, 609133, 967299?\n\"Answer: 2824*n**3 - 37*n**2 - n + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82003 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbjb when four letters picked without replacement from bbbbjbbbbbjbbj.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*u + 3. Suppose -4*z + 154 = u*q, 4*z + q - 164 = 3*q. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/89 + 188\/445. Let j = -3.4 - -5.4. Put l, 0.5, j in descending order.\nAnswer: j, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37149 and 3045?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3544 = -1813*o + 1805*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 519 - 517. Put 5, 0, -2, l in descending order.\nAnswer: 5, l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 a when four letters picked without replacement from {a: 4, f: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let i = -34 + 48. Let n(u) = -i - 3*u - 9 + 23. Let o = -15 - -8. Calculate o*z(f) + 2*n(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2 + 11*l + 6. Let c be (-48)\/(-7) + 54\/378. Let h be j(c). Which is smaller: 2\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9370*o**2. Let i(d) = -8*d**2. What is j(i(k))?\nAnswer: 599680*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 32\/3*z**2 + 14*z + 0 - 16\/9*z**3 + 1\/9*z**4. Suppose a(b) = 0. What is b?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1339\/7 + 193. What is the common denominator of w and 51\/15 - (-4)\/(-20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -655 - -1177. What are the prime factors of t?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 * -1253911\nAnswer: 121629367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70581, 70794, 71087, 71502, 72081?\nAnswer: 72866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -18.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z**2 + 9. Let q(a) = -5*a**2 - 2. Calculate 4*g(s) + 18*q(s).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1268550 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3195 divide 395727363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h*h)**(4\/15)*h**(-2\/11)\/(h\/h**(-21)) assuming h is positive.\nAnswer: h**(-3748\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4.7, 1, 29\/4, 0.1, 0.0729?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22789316?\nAnswer: 2, 11, 17, 30467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -91. Suppose 11*u = 7*u + v. Find the third derivative of 27*g**2 - 40*g**4 + 18*g**4 + u*g**4 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 18 - 98 = 0. Let m = 22 + g. Let s = -13 + 17. What is the nearest to m in 1, s, 0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -69) + (-9 - 59)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 14858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/1)\/(-5 - -3). Let w = b + -1. Let x(h) be the third derivative of -h**4\/24 - h**3 + 4813*h**2. Calculate x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**4 + 0*m**2 + 8*m**4 + 11*m**2 - 4*m**2 wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 141*z**4 + 143*z**4 - 4*z + z + 29 to the form y*z**3 + f + w*z + p*z**4 + d*z**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(-1*sqrt(3)))\/sqrt(3).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 2*d**2 + 5*d - 2. Let m be z(1). Let q(y) = -4*y**3 - y**2 + 1. Calculate q(m).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (2 + (-6)\/4)*-1164. Let x = -362 + i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*3\/((-9)\/(-6)). What are the prime factors of 316\/8 + (-3)\/k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 5*i - 3*i)*(-2*i + 5*i - 2*i - 6).\nAnswer: -2*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 4*r + 23*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 28 = 2*d, -3*v + 540*d - 544*d + 28 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:04 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2\/29)*y\/(y\/(y*y**(-24))*y)*(y**(2\/21)\/y*y)**25 assuming y is positive.\nAnswer: y**(-12515\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/230)\/(4\/(-16)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 6. Let a be d(-3). Suppose 3*c + 3 = -a. Sort 2, c, -1.\nAnswer: c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 17. What is the closest to -0.1 in j, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-16))\/((((-1989)\/(-156))\/(-51))\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 3*w + 32. Let u be f(0). Suppose 196 = 2*s - 4*n, -s = -3*n + u - 133. What is the remainder when s is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 46 - 28*q**3 - 2*q**2 + 5*q - 5*q.\nAnswer: -28*q**3 - 2*q**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3600 and -17\/2100.\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 34*x**2 - 7*x + 41. Let m(f) = 35*f**2 - 8*f + 40. Let i(j) = 5*m(j) - 6*v(j). Differentiate i(b) with respect to b.\nAnswer: -58*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1056 - 0.2056. What is the closest to l in -1\/6, 3, -35?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, s: 6}. Give prob of sequence sssy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.920356 + 0.076144. Let g = -60 + 31. Let h = g + i. Round h to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40418 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3\/3 - 4*k**2 - 3*k + 4. Let s be f(9). What is the third derivative of s*l**5 + l - 2*l**2 - 5*l + 4*l wrt l?\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = -5*q - 19, -g - 4*q = 10. Suppose -j + 5 - g = 0. What is the second derivative of -18*b**3 + 2*b + 2*b**j + 10*b wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118 (base 12) to base 5.\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 1, k: 1, s: 1, t: 2}. Give prob of sequence to.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = -26. Suppose 6*u - u = -l + 78, 0 = -5*l - a. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 7085*k**6\/6 - 2*k**3\/3 - 5*k**2\/2 + 365*k + 860. Find the third derivative of h(j) wrt j.\nAnswer: 425100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1230319100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 8*u - 170. What is the greatest common factor of 85 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/360 - g**3\/3 + g. Let d(y) be the second derivative of x(y). Let a(h) = -5*h + 2*h + 0*h. Give d(a(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059778037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 3 + 4 - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33351 and 57?\nAnswer: 633669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 324797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/376 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 374882 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -22, -395, 0.02, -2\/9, 25\/4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -437427592*o**3*t**3 + 6*o**3 - 16*o**2*t**2 - 41*o*t - 21*o - 3*t**2 wrt t?\nAnswer: -2624565552*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 63. Let y = -1 + 0.1. Let l = y + 1. What is the closest to l in 3, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*h + 8103 = 206*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3*4*(-3)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 1623.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-3*y - 5 + 5)*(38*y**2 - 15*y**2 + 11*y**2).\nAnswer: -204*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1704 and 1633?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5.3. Let b = 53 - 58. What is the second smallest value in b, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 b when three letters picked without replacement from abandagaadbaaraanda?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37872*g**5 - 5*g**4 + 7808805*g**2 wrt g?\nAnswer: -2272320*g**2 - 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116463731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 - 25043?\nAnswer: -24523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 4 (b) 3\/2 (c) -1\/5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 127 in -0.5, 104, 2\/5?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/2, -0.8, 3 in ascending order.\nAnswer: -21\/2, -0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 2, -3646, -2.\nAnswer: -3646, -63, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.168816037 rounded to 3 dps?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344 + 167*t**2 + 566 - 222 - 65*t**2.\nAnswer: 102*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 121*v**3 + 2798*v**2 + 342*v - 73. Calculate p(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 1. Let o be d(2). Let g be (-2)\/o - 39\/(-63). Is g bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = 3*p. Which is the closest to p? (a) 2\/7 (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188 - 1188 - 398*p.\nAnswer: -398*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3282 in -4, 2, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29225, -58452, -87679, -116906, -146133?\nAnswer: -175360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -25. Suppose -99*l - 81*l - 87*l + 23408 = 265*l. Solve -8*h = -l + v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 41*w - 833. What is y(-56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*1 + -57 + 50.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10114013 (base 5) to base 14.\nAnswer: 22047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 9*i**2 + 3*i - 11. Suppose -3*c + 49 = 2*t, 3*c = -t + 2*c + 23. Calculate the least common multiple of a(9) and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205403412*n**3 + 49742633*n wrt n.\nAnswer: -1232420472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*-3*sqrt(117) - -3*sqrt(117)*3)\/((sqrt(4356)*-1)\/(sqrt(4) - sqrt(72)\/sqrt(2))).\nAnswer: -18*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-165)*148\/((-40848)\/(-4485))\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s - 3. Let m(z) = z**3 - 6*z**2 + 6*z. Let i be m(5). Suppose -4 - 21 = -i*y. What is the units digit of x(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -4692, -15951, -37912, -74151?\nAnswer: -128244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 36. Let u = -11.8 + p. Round u to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 16, b = k + 4*b - 21. Suppose 2*d + 5*n = 46, -12 - 4 = -4*n. Let x = d + -9. Calculate the least common multiple of x and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/5871 and -54\/5904269.\nAnswer: 17712807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k*k**(1\/15))\/(k*k**(-1\/4)*k*k**0\/k) assuming k is positive.\nAnswer: k**(-281\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 10*d - 17. Let l be k(7). Suppose -l*n + 0*n = -28. Suppose -4*g - 4 = 2*o - 2, 0 = 2*o + g - n. Solve -o*w + 9*h + 20 = 4*h, 4*h = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9*((-27)\/2)\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26268 at most -2\/1641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -104*n + 48. What are the prime factors of i(-88)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 5*m. Let j(p) = 2*p**2 + 4*p + 1. Calculate -4*j(b) + 3*s(b).\nAnswer: -2*b**2 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331303230111 - 11?\nAnswer: -331303230122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*i**5 + 3044*i**4 + 287836*i**3 - 401028*i**2 + 121384*i - 10336 = 0 for i.\nAnswer: -17, 4\/25, 2\/9, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 8*q + 135 = 0. What is the remainder when 102 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/180*-10)\/(8\/(456\/(-95)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 + 4*m - 4. Let l be 2\/((-10)\/4 + 2). Suppose -2*y = -3*y - 7. Let h(k) = -9*k**3 + 7 - 7*k - 6*k**2 + 6*k**2. Give l*h(d) + y*t(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:45 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16093\/8 - -2019. Let y = -23999\/7740 - -1\/1548. Find the common denominator of y and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -6. Let k = g - -4. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256060 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from iiaiaaiiaiiiii?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12962*v**4 - 82*v**3 - 14528681 wrt v?\nAnswer: -51848*v**3 - 246*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.68 and 1573783969.7.\nAnswer: 1573783974.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 1, -2*z + 2 = -4*r. Suppose r*c + c + 37 = 2*v, 3*v - 53 = c. Let a(q) = q**3 - 16*q**2 + 8. What are the prime factors of a(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -26. Let m = 59 + c. Suppose -4*n = m - 123. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 120754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 238, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-2)\/3)\/((-147)\/63)*-7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 3, -0.1, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -3*i + 75. Suppose 7*b + 34 = 5*t, -5*b = t - 9*b + 1. What is the remainder when i is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504806?\nAnswer: 2, 83, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 25 - 28 - (0 + -1) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*d - 3*d + 120, -3*a + 354 = 3*d. List the prime factors of d.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 21. Let c be s(-11). Let h be 184\/c + 1\/(-4). Is h\/(184\/(-44) + 4) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -41290\nAnswer: 1\/8258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1095274298943372 and 0.4.\nAnswer: -1095274298943371.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/37, -67, 19\/32 in ascending order.\nAnswer: -67, -1\/37, 19\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**3 - u. Let v be c(1). Put v, -106, -0.1 in decreasing order.\nAnswer: v, -0.1, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6812 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 10 = -8*p. Suppose l + 5*c = p, -30 = -3*l + 4*c + c. What is the greatest common factor of l and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 83*y + 44*y + 47*y)*((-1 + 1 - 2)*(4 - 5 + 0) + 2 + 2 - 2).\nAnswer: 32*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 + 111. Calculate the remainder when u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3 = -284*v + 281*v, -v = -4*b + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r*s**3*v - 24*r*s**3 - 16*r - 7*s**3 - 152872*s**2*v + v wrt s?\nAnswer: -6*r*v - 144*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -11*h - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 112*j + 3214. What is b(-29)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.4 + -19.513. Let p = w - 0.087. Suppose -4*d = 5 + 3. Which is the smallest value? (a) -2\/23 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - 4)\/(-1) - -13. Let g(u) be the second derivative of 0 - u + 8\/15*u**3 - 16\/5*u**2 - 1\/30*u**f. Factor g(z).\nAnswer: -2*(z - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442408 and 680.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 5032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80029123 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b + 243. What is c(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 - 702?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 0*m + 0*m**2 + 1\/3*m**3 - 9. Let d(k) = -k. What is d(a(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppqppppqppq. Give prob of sequence qqpp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 314010012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 103*f + 1548. Let x be j(-15). Let b(g) = g**3 - 3*g**2 - 5*g - 3. Let u(n) = 2*n**2 + 4*n + 3. Determine x*u(d) + 2*b(d).\nAnswer: 2*d**3 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/15 and 16\/151395.\nAnswer: 151395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-4983)\/(-198))\/151\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*j + 18, -3*x - 2*j + 21 = 2*x. Suppose -2*r + 7 + 5 = l, 0 = 2*r - x*l + 12. Calculate the least common multiple of r and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/4*(-56)\/(-35). Which is the closest to -3? (a) -0.1 (b) -8 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 4. Suppose 0*j - 5*s - 17 = -j, 0 = 5*j - 4*s - 148. Let t = j + -29. Let o be -2*(t - 5) - 10. Give x(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*p + 5, -2*p - 2*i + 10 = -5*p. Suppose -3*h = -5*u - 216, p = 5*u - 3*u - 6. Calculate the highest common factor of 385 and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 16 = -2*r - 42, 3*r + 29 = 5*s. Let o = s - 13. Let f = o - -17. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6670*q**3 - 9935*q**2.\nAnswer: -40020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.9 - -22. Let a = -113 - -103.3. Let r = 9 + a. Is k at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90163071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-23182)\/(-1) + (-209 - -214) + (-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**2 + 7*r + 3. Let y(p) = 9*p**2 + 7*p + 4. Let j(h) = 5*u(h) - 6*y(h). Let w be j(-6). Let t = -73 - w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {a: 8, t: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -156*z - 157*z - 155*z + 469*z - 13. Calculate c(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 p when three letters picked without replacement from pprppfriv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/84942 and -53\/28314.\nAnswer: 84942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**6\/120 - 3*x**5\/10 - 29*x**4\/24 - 3*x**3\/2 + 8*x**2. Is h(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(90))\/(3*sqrt(14)\/sqrt(7)) + 0.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 4*x - 9*x to the form a*x + p and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*n + 3327 - 3648 + 3843 = -3870 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 3. What is n(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218 + 2980. Let h = s - 1812. List the prime factors of h.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b813 - -73?\nAnswer: -4b790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3071332 and 87464?\nAnswer: 79854632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9962 - 4340. Does 33 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -122*s + 844 + 308 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/154)\/((-156)\/(-192192)*44)\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*r = 4*s, -7*r + 6*r - 5*s = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(5\/((-25)\/(-10))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/21903 and -61\/2235.\nAnswer: 109515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37889?\nAnswer: 37889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 1. Let u(l) = 1181*l**2 - 6*l - 3. What is u(t) + 3*x(t)?\nAnswer: 1181*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + sqrt(405) + (sqrt(405)*-3 - sqrt(405))**2 + 5*-1*sqrt(405) + -1.\nAnswer: -36*sqrt(5) + 6489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20.4747592738 and -138?\nAnswer: 158.4747592738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 21*a**2 - 72*a + 71. Let i be p(1). Calculate the highest common divisor of 292 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 870, 889, 910, 933, 958, 985?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 11*t**2 + t. Give p(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/21)\/((-1)\/(-6)). Find the third derivative of 5*o**a + 2*o**4 - 6*o**4 - 4*o**2 wrt o.\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 37, 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8465 - -88066. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20913 * 830.\nAnswer: 17357790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*j - 116*j + 62*j - j**3 to k*j**2 + i*j**3 + g*j + u and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*2 - (2 - -1). Let s(v) = -v**2 - 2*v - 2. Let i be s(-4). Let y = j - i. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let q be 25 - (18\/3)\/u. Suppose 185 = 5*o + 5*l, 2*o + 5*l - 32 = q. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 + v - 1. Let y(u) = 11*u**3 - 3*u**2 + 3*u - 3. What is -3*q(t) + y(t)?\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/3))**(-37) assuming z is positive.\nAnswer: z**(-148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-322)\/115*((-3)\/(-27))\/(4\/60)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -9.45?\nAnswer: 9.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 234*24\/6480*(-5)\/(15\/(-18))?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + 1425 = -2*o. What are the prime factors of ((-608)\/12)\/(5\/o)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 38*n - 6 + 9)*(3 + 3*n**2 - 3) to g + c*n**3 + m*n + d*n**2 and give c.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p + 2*p)*(2*p**4 - 2*p**4 - 3*p**4).\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**5\/4 + 5*m**2\/2 + 7*m + 2. Let s(a) be the first derivative of l(a). What is the derivative of s(u) wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001064 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 46812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 3. Let m(y) = -7*y + 3. Let d(h) = -3*l(h) - m(h). Let t(w) = -w**2. Calculate t(d(s)).\nAnswer: -169*s**2 - 156*s - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 74853*r - 74891*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2523*s + 15. Let a(c) = -2974*c. What is b(a(t))?\nAnswer: -7503402*t + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -26. Suppose 4*y + 4 + 40 = 0. Let s = y + 16. What is the remainder when k is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.1 (b) 3 (c) -21363163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4055448 or -20?\nAnswer: -4055448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16485077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286116951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -0.057.\nAnswer: 0.0627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 9. Let q = -8.54 + 7.4. Let z = q + 1.04. Which is the nearest to z? (a) 1 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5139*a - 2562*a - 2571*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -46*m - 294. Does 4 divide n(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -2\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2392402 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w + 2*d = d + 264, 3*d - 22 = 61251*w - 61246*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cycvapxycayxyyyyx. Give prob of picking 1 v and 1 y.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47783 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: Simplify ((a**(2\/9)*a*((a**(-2\/17)\/a)\/a)\/a)\/((a**(1\/3)*a)\/a)**(-16))\/((a*a*a**(1\/11)*a*a*a*a)\/a**(1\/3))**(-25) assuming a is positive.\nAnswer: a**(248036\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12508 + 1285?\nAnswer: 13804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1452\/7 (b) 0.1 (c) 11 (d) -4 (e) -214 (f) -0.4 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1686863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -y - 0. Let c(q) = -2*q**2 - 5*q**2 - 3 + y. Let i(w) = -90*w - 72*w + 161*w. Determine c(i(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -336*z + 334*z. Solve z*x + 14 + 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45390 (base 13) in base 2?\nAnswer: 11110101110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19970490*a**2 - 18231400*a wrt a?\nAnswer: 39940980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.087 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -67, 2 in increasing order.\nAnswer: -67, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.2. What is the nearest to j in -2, -0.9, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-3\/4)*n**(6\/5)*n*n**4*n**(12\/11) assuming n is positive.\nAnswer: n**(1659\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 14) to base 8.\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/5 - 34073070*n + 483739208010375.\nAnswer: 3*(n - 28394225)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 10. Let i be c(7). Suppose i*o - 103 = -3*s, -16 = -0*s - s - 5*o. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**(-1\/42) assuming n is positive.\nAnswer: n**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1009.5 in -1, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*s = 91*s + 121635. What is the least common multiple of 72 and s?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:21 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - 5*w - 5. Let n = 15 + -12. Let o = -8187 - -8202. Let i(b) = 1 + 2 - 2 + b. Determine n*t(c) + o*i(c).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -p + 2*y - 2, 0 = -3*y - 3. Suppose -i + 3*z + 5 = p, 0 = -3*z + 1 + 8. Calculate the remainder when 65 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60761180 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 5, d: 11}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807 + 449 = 2*o + 2*v, 0 = 3*o - 4*v - 1919. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(1\/3)*y)))\/(y**(2\/9)\/y)*(y\/y**(-1))**37 assuming y is positive.\nAnswer: y**(694\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.279 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 7:57 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + 37*k - 2. What is the remainder when v(2) is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12247 - -14895. Calculate the least common multiple of k and 12.\nAnswer: 7944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -64.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103134 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287 - 567 + 281 - 2*k**3 - 32*k**2 + k + k**4 + k**3 to the form i*k**4 + l*k + t*k**2 + m*k**3 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 25.7 (b) 9 (c) 2 (d) -0.112 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/4122 and 68\/3?\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4 + 3)\/(-1))\/((-1)\/(-2)). Let m(d) = -d**2 - 11*d + 16. Let v be m(-12). Solve x + b + 3 = 0, 8 = -v*x - 5*b - q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213873266 to the nearest integer?\nAnswer: 14624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2753382.\nAnswer: 2, 3, 458897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 7*a. Let i be j(6). Let f = 211 + -306. Let q = f - -95.1. Which is bigger: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*b**3*i**2 + 10*b**3*i + 24*b**3 - 6*b*i**2 wrt i?\nAnswer: -72*b**3 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 54, 0, 6, -4.\nAnswer: -4, -3, 0, 6, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 54 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 20944?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 2\/11, 0, 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 5*j**2 - 3*j + 4. Let l(c) = -3*c**3 - 14*c**2 + 8*c - 11. Let g(q) = 3*l(q) + 8*t(q). Let x be g(-2). List the prime factors of -17*3\/3*x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -553, -520, -487, -454, -421?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -863+365\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(14\/7 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-6))\/((-3)\/6). Let f = 4 - d. Suppose -f*h = l - 134, -3 = 5*l - 13. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = 3*n, 4*n - 20 = 2*h - 0*h. Let i(w) = 3*w**2 - 13*w + 24. Is 20 a factor of i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 43, 142, 333, 646?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/345 and -139\/184491970.\nAnswer: 553475910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.1297255 days?\nAnswer: 3.113412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 390868, 1564060, 3519380, 6256828, 9776404, 14078108, 19161940?\n\"Answer: 391064*l**2 - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8 - (19 - 30) - (-18555 + -3)?\nAnswer: 3, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024158307 to 7 decimal places.\nAnswer: 0.0002416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542 + 512 = 15*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -137 + 140 - (-6 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, m: 4, p: 1, y: 6, o: 1}. Give prob of picking 1 y and 3 m.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -210 - -221. Solve -k = u - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*l**2 - 94*l**2 + 841*l**2 + 163*l**2.\nAnswer: 882*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**2\/5 - 2087*p\/5 + 348\/5 = 0. What is p?\nAnswer: -348, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/24 - (-502)\/(-8). Suppose -4*c + m + 4*m + 475 = 0, -m = 3*c - 361. Let w = c + p. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -2006?\nAnswer: -2008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280\/(-30)*324\/(-16) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l - 21981 = 0. Suppose -5*j - 2*f + 27647 = 5669, -f = -5*j + l. Suppose -j = -o - 1296. What is o rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (15\/(-5) + 5). Let n(o) = 6*o - g + 6 - 3. Let b(t) = -7*t - 2. Determine -4*b(j) - 5*n(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523514 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 2*r - 1. Suppose -b - 2*g - 10 = 0, -5*g = -0*b + 2*b + 24. Let u be k(b). Is u at most -1\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3404 and 4288189.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-14 + 30 - 16 - 10 - (8 - 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r - 3*s + 17 = 27*r, 2*r = s - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11854220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1585*u + 369*u - 850*u = 216930 for u.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150444268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -26. Let n = b - -21. Let s be -3 - (-1 + -2 - n). Is s at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182 (base 9) to base 4.\nAnswer: -2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/2)\/o)**(1\/35)\/(o**1\/o**(-6)) assuming o is positive.\nAnswer: o**(-71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:35 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 j when three letters picked without replacement from ojwwwojjwowlww.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(132) + sqrt(132))\/sqrt(12) + sqrt(33)\/sqrt(12) + sqrt(11).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5 - 6267*o**3 - 15 - o + 6266*o**3 + 8*o**2. What is the remainder when 85 is divided by h(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from {t: 1, m: 1, v: 3, k: 3, j: 2, s: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -19.546.\nAnswer: 0.19546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2. Let b(v) = -7*v. Let x(g) = -3*g. Let q = 47 + -45. Let h be ((-4)\/(-3) - -2)\/(q\/(-6)). Let n(r) = h*x(r) + 4*b(r). Calculate a(n(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -16*i + 24. Let z be b(0). Suppose -o - 11*o - z = 0. Put 0, 5, o, 0.5 in ascending order.\nAnswer: o, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374 + 265 = -82*z - 5*v, -z + 3*v + 35 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 - 4*x**3 + 1 + 4 + 29*x**4 - x**4 - 2 as j + l*x**3 + h*x**4 + y*x**2 + m*x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/7 + 13311*a\/7 - 143880.\nAnswer: -3*(a - 4360)*(a - 77)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 + 15*o**2 - 39*o. Let r(t) = -t**3 - 4*t**2 + 10*t. Give -4*l(i) - 15*r(i).\nAnswer: 3*i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 54. Suppose -3*x + 1 = -4*v - 69, 2*x + 4*v - 40 = t. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 2. Let f be k(0). Let z be (32\/10)\/(f\/(-10)). Suppose 42*q + 1040 = 107*q. Calculate the highest common factor of q and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59150 rounded to the nearest one thousand?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Suppose -y + 5*a = 4*y, -y = -4*a - r. Is 1\/35 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292938 to the power of 1\/2, to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -135. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - (0 + (sqrt(104)\/sqrt(2) - sqrt(52))))**2 + -1)*2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*r + 3 + 73 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*b = 21, -s - b - 24 = 4*b. Suppose u + s - 6 = 0. Let n be (-2)\/(-1)*2\/4. Calculate the greatest common divisor of u and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -15 - (0 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**5\/9 - 8*f**4\/9 + 2*f**3\/9.\nAnswer: -2*f**3*(f + 1)*(5*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15130 (base 6) to base 8.\nAnswer: -4576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*30\/(-225)*(-168339)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 1. Let i = 9 + -6. Suppose i*o - 15 = 8*o. What is s(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 9.2. Let v = c + 6. Sort v, -2\/3, -0.1 in descending order.\nAnswer: -0.1, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-48))\/(8\/(-48))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/13)\/g*g\/((g**(-3)*g)\/g)*g**11\/(g\/g**(-3\/14)) assuming g is positive.\nAnswer: g**(2369\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1174 + 7097\/6. Let g = -7589\/154 - -60\/77. Find the common denominator of o and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + 2*o**3 - 9*o**3 + (-2*o**3 + o**3 - o**3)*(0 + 0 - 1) - 61*o**3 - 312*o**2 + 312*o**2.\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 - -1724 - (17 + -21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffooooffffooooeofe. Give prob of picking 2 f, 1 o, and 1 e.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)\/k**(1\/8)*(k**5*k)\/k**4 assuming k is positive.\nAnswer: k**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/3 in -5, 3, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 7*b**2 - 3*b - 10. What is f(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -3641?\nAnswer: -3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = -6*p. Let x(c) = 14*c**2 - 29*c + 3. Let k(w) = -4*w**2 + 10*w - 1. Let q(g) = -3*k(g) - x(g). Give q(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-1) + -3)*2. Suppose 0 = q*z - 2*y - 14, -z + y = 3*z - 13. Suppose 0*a - z*o - 7 = 2*a, 27 = 3*a - 3*o. Put -2, 10, a in ascending order.\nAnswer: -2, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010002020010 - 12?\nAnswer: -1010002020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + x = 4*x + 101, 2*y + 2*x + 222 = 0. Let o = -32 - y. Let l = o + -47. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 22.\nAnswer: -2, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27 - (-3)\/(3 - 4). Suppose -5*l - 349 = -p. What is l rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((-1)\/4*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from wwdwwwd?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 = -u, -2*u + 5*y = 3 + 23. Let c = u + 15. Let q = c - -4. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 9:13 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5134 is divided by 1223.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.005 + -3.487218.\nAnswer: -3.482218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 1244737?\nAnswer: -1244737.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 830 - -698. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 1.59?\nAnswer: 19.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -566264 (base 7) to base 16\nAnswer: -18923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7309*p**2 - 36541*p**2 + 7308*p**2 + 7309*p**2 + 7318*p**2 + 7312*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77367 divided by -2.\nAnswer: 77367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192.9 - -192.6. Let j = 75 + -303\/4. What is the nearest to 0.2 in o, j, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = w - 4*k - 0*k, -3*w = -k - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -47*j + 41*j. Suppose 0 = -3*k - k, 3*k - 46 = -2*g. What is the remainder when j is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -18*f + 23. Let d(o) = 9*o - 14. Let b(l) = -19 - 19 + 37. Let m(v) = -3*b(v) + d(v). Let j(h) = -3*i(h) - 7*m(h). Differentiate j(z) wrt z.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6049*h**2. Let f(k) = -162*k**2 - 2. What is f(o(p))?\nAnswer: -5927644962*p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 286728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 327 + 11a455?\nAnswer: 11a781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, k: 8, s: 2}. What is prob of sequence kj?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -29. Suppose 2*z = g + 4, -l*z = -8*z + 4*g + 4. What is the remainder when 34 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263516 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1073 - -291. Calculate the greatest common factor of 44 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 10. Suppose -i*s + 0*s = 8. Put -3, s, 2 in decreasing order.\nAnswer: 2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 3824 = -3*x, -1918 = -2*i + 3*x. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20420000 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4840 and 33704.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 27660?\nAnswer: 82980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/987 and 85\/48222?\nAnswer: 337554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1114*z**3 + 2*z**2 - 530*z - 2.\nAnswer: 6684*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5 + 1875*x**4 - 61470*x**3 - 1172720*x**2 - 2084640*x = 0.\nAnswer: -404, -12, -2, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 288*q**4 - 172*q**3 + 0 + 171*q**3 - 148*q**4 + 5 in the form k + a*q**4 + j*q**2 + x*q + r*q**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.293? (a) -2 (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrk when three letters picked without replacement from {r: 8, k: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 10:32 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -28.341 * 0.2\nAnswer: -5.6682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, m: 4, p: 6}. Give prob of sequence mpx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-6*sqrt(540))\/(sqrt(45)*-2))\/((-6*sqrt(120)\/sqrt(4))\/(sqrt(30)\/sqrt(54))).\nAnswer: -sqrt(2)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 1\/6*c**4 + 1\/20*c**5 + 0*c**2 - 2*c - 2 + 1\/6*c**3. Let p(q) be the first derivative of v(q). Factor p(g).\nAnswer: g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 8*c - 11*c. Suppose -3*r = -m + c, 3*m + r - 23 = -2*m. Solve 7*f = 2*f - m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-4)*89\/1602)\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62458 - 31242 + 225*w**3 - 31216 - 2*w**2.\nAnswer: 225*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-6) + (-530)\/(-12). Suppose -3*s = 6, -s = 2*v - 4*s - 82. Let t = m + v. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 1952*t**7\/105 - t**6\/60 + t**5\/60 - 7705*t**4\/24 - 3*t**2 - 70*t - 7. Find the second derivative of r(m) wrt m.\nAnswer: 46848*m**2 - 12*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 40. What is the closest to c in -1, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*g = 1265632, -139*j - 2*g = -137*j - 632814. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2*2\/8*30\/15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9361912 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a + 14*a. Let g(u) be the third derivative of 0*u - 1\/300*u**5 + 5*u**2 - 1\/30*u**3 + a + 1\/60*u**4. Factor g(q).\nAnswer: -(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 18*a + 110*a - 1676340. Do 12510 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285 - 63. Is 58 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20113 and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*l**2*t**2*v + 9*c*t**2 - 85*c*v + 38025782*l**2*t**2*v + 162399*l*v wrt l.\nAnswer: -4*c*t**2*v + 76051564*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 73 + 90 = 4*u, -2*u - 5*x + 31 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + -2. Let d(y) be the first derivative of -y**2 - 57*y + 47. Let h be d(-28). Is h <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Suppose -3*z + 4 = 2*y, 0*y - 5*y = 5*z - 15. Let g(i) = 4*i - i - 2*i - 5. Let x(h) = h - 3. Let p(j) = y*x(j) - 3*g(j). Give p(f(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 18*g - 2266. What is the greatest common factor of 515 and g?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 + 702 = 5*q. Suppose 4*r - q = r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.1 and -0.1673736.\nAnswer: 6.9326264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 4 - 1 + r.\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (-5)\/3*(235\/25 + -7). Solve 3*p + 17 = 5*q, 3*q - 4*p - 28 = -m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7421 and 2628838?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -5*j**4\/12 - j**3\/2 + 3*j. Let b(p) = 11*p**2 + 7*p + 1. Let h(w) = -3*b(w) - 7*v(w). What is the derivative of h(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l + 15. What is the second smallest value in -0.1, -2\/13, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 15 + 0*y**3 - 5\/12*y**4 + 6*y + 2*y**2 + 1\/20*y**5. Give r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*q + 9 + 3, -q - 3 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -73*j. Let a(p) = 3155*p - 4. Calculate a(i(n)).\nAnswer: -230315*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 20*c - 13. List the prime factors of k(12).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 915.8, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43, -34, -163, -344, -577, -862?\n\"Answer: -26*a**2 + a + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 212099748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 106?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 2 = 0, -s = -3*o + 7. Suppose 0*r**2 + 2*r**2 - 5 - 4*r + 2*r**2 - o*r**2 = 0. Calculate r.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426 - 216 = 184*b - 894 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 15*q**3 - 2*q**2 - 35*q - 495. Determine t(0).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/5 - 7857) + 8\/2. Let z(w) = -488*w - 6. Let q be z(23). Let a = j - q. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 568.\nAnswer: 3\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w + 1. Determine v(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 8:09 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 85?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psyoyypyyypyhoph. Give prob of sequence ys.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*u + 24 = 2*u, -3*u + 2 = 5*x. Let i(c) = c**2 + 4*c - 1. Let z be i(-4). What is the remainder when 38 is divided by 15 + x + (z - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**8\/672 - a**7\/105 + a**6\/48 - a**5\/60 + 182*a**2. Factor w(b).\nAnswer: b**2*(b - 2)*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -247 and 0.3?\nAnswer: -74.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3735786.\nAnswer: -2\/1867893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/65845440 and 149\/10368.\nAnswer: 395072640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 0.34. Let w = -0.4 + -0.2. Let a = r - w. Put 2, 0.4, a in descending order.\nAnswer: 2, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3 + 0.7. Let j = u - 7. Suppose 2*g + 16 = -4*m, 20 = -20*g + 16*g + 4*m. Which is the nearest to -1? (a) j (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqpp when four letters picked without replacement from sppupqppqcpqc?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7404 and 106124?\nAnswer: 318372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*((-6)\/(-4) - 2). Let u be 1\/g - 15\/(-2). Suppose -v + 3*w - u*w = 0, -4*w = -2*v + 42. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(39)*2 - sqrt(39))*-3)\/(2*sqrt(300)))**2 + 1)*-2*-1 + 4.\nAnswer: 384\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3)*2*(-6)\/48.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:41 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/7 + 23482*n**2\/7 - 12035312*n\/7 + 3425240 = 0.\nAnswer: -12233, 2, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/4 - (-2)\/(-8). Let q = -338.01 - -337.91. Which is the closest to q? (a) -5 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 = -8*h + 258 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 + 373*t**2 - 89*t - 694. Determine i(93).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**5\/70 - 5*c**4\/6 + 181*c. Factor o(j).\nAnswer: -2*j**2*(j + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/197 + 269\/4728. Let m(g) be the third derivative of -j*g**4 + 0*g**3 - 1\/120*g**6 + 0 + 1\/30*g**5 + 0*g - 3*g**2. Factor m(a).\nAnswer: -a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c27a (base 15) to base 16.\nAnswer: 1662a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*r - 2257*r = -523*r - 58614 - 191322 for r.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 20. Let y be u(6). What is the second biggest value in -2, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/7055 and 19\/130610.\nAnswer: 184290710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2480)\/(-60)*3\/2 is divided by (4\/(-2) - -33) + (-5 - -9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2040491 and 207?\nAnswer: 18364419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2577634?\nAnswer: 2, 1288817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1d97?\nAnswer: 1d97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 649 and 75520?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 449424 and 432?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*p + 2. Suppose -5*g - p = g. Let t(b) = b**3 + 3*b**3 + b - 5*b**3. Calculate t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 836 and 4576?\nAnswer: 86944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25840.5 + 25840. Is 3129 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -238309 (base 11) to base 16.\nAnswer: -5c0d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -21149816 and -21149816 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -182 + 206. Suppose i + p - 100 = 0, 0 = -5*i - p - p + 497. Suppose 3*t - a = 3*m - i, -2*m + 65 = 3*t. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*v = -2, -5*n = -4*v - 30 - 12. Suppose 0 = u - n*u + 1251. What is u rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -9. Solve n - m + f = 5*n, -5*n - 2*m = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**5\/10 - 13*y**4\/2 - 169*y**3 - 2197*y**2 - 20*y. Factor a(i).\nAnswer: -2*(i + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 143461508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 17*d**2 - 10*d + 47. What is the hundreds digit of f(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 445, 906, 1401, 1948, 2565, 3270?\n\"Answer: 3*a**3 - a**2 + 443*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*a + 8 = 0, -4*a + 4 = 4*v + 20. Let q be 4 - v*(-3 + 2). Does 10 divide -2 - 3*(q - 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 36*d**5\/5 + d**4\/6 - d**3\/3 + d**2\/2 - 3*d. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -42, -35, -26, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3285 + 3289. Calculate the greatest common factor of n and 230.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.913 + 0.087. Let o = 34 + i. Let l = o - 42.0005. Round l to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8*3\/6)\/(7\/(-28)). Let y be (86\/3 - 2)*3. Calculate the greatest common divisor of i and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/5, 2\/7, 5, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64103931?\nAnswer: 3, 2591, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 296\/16*10166\/72335\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 480*v - 83 + 112 - 15 in the form c + g*v and give g.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 46)*(-10)\/(-6). Suppose -3*b - 96 = 4*k + p, 0 = 3*k - 9. Let d = -32 - b. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (477*l**2 + 379*l**2 + 86*l**2)*(2*l + 0*l + 0*l).\nAnswer: 1884*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o + 3. Let r(g) = -11*g - 7. Let c(p) = -4*r(p) - 9*t(p). Give c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6192a (base 14) to base 8.\nAnswer: -713042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = 0. Let r be (-6 + 30\/4)\/((-2)\/(-4)). Suppose k - r*k = -z - 6, j = -5*z - 10. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/18282 and 77\/117448.\nAnswer: 3875784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 5:55 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 6, n: 5, o: 1, g: 1}. Give prob of picking 2 e and 1 g.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -27, 0.5.\nAnswer: -27, -20, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 2*h**5\/15 + 5*h**2\/2 - 5. Let a(n) be the second derivative of i(n). Suppose 0 = -z - 5, -5*r = -2*z + z. Give a(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**3 + 14*l**2 + 7*l - 7. Let j(g) = 3*g**3 - 7*g**2 - 3*g + 3. Let x(q) = 14*j(q) + 6*o(q). What is the third derivative of x(c) wrt c?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -22?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2378, 4817, 7254, 9689, 12122, 14553?\n\"Answer: -w**2 + 2442*w - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 771353509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 - 0.8. Let x = 4.4 + w. Let z(t) = -t**2 + t + 3. Let u be z(0). Which is the third smallest value? (a) 5 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/9, 0, 0.3, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**3\/6 + 2*a**2 - 5*a. Let k(w) = -2*w - 9. Let i be (-37)\/5 + (-2)\/(-5). Calculate i*b(c) - 3*k(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0*1\/6*3)\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1777103.\nAnswer: 1777103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 5. Suppose -5*q - 2*j = -428, 0 = -q + 2*j + 3*j + 64. Calculate the greatest common factor of q and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*s**2*y + 213*s**2 + 23638*y wrt s.\nAnswer: -26*s*y + 426*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -946 divided by 102864\nAnswer: -473\/51432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + (sqrt(1539) - (-1 + sqrt(1539))))**2*-1.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/24 - 3*w**3 - 8*w**2 + 17. Let k(r) = -3*r. Give k(c(y)).\nAnswer: -3*y + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -606 + 608. Calculate the lowest common multiple of 15 - 2 - (1 - 2) and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g - 161. Calculate w(7).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782105?\nAnswer: 5, 156421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.716302 rounded to zero decimal places?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 2)\/((-11)\/((-154)\/(-105)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 0.00422.\nAnswer: -0.0001688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 8, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 11:34 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -948*n - 4719. Give r(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(26\/(-70)))\/(-11*(-15)\/(-495)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 52517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3000 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -151 (b) -0.4 (c) 2\/11 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (420\/55)\/2 + -4. Let i = 4.2 + -4. Which is the second smallest value? (a) i (b) -2\/9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10135*c**2 + 123*c + 101*c + 3246*c**2 - 1 - 41*c - 17*c = 0. Calculate c.\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -10*n + 112. Suppose 0 = -17*k - n + 59. Solve -v + 4*x = -0*v, 0 = -v + x + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313.763342 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 2. Let z be w(-7). Let k be 6 - 6 - (-144)\/81. Which is the biggest value? (a) -4 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 57*i**2 + i + 0*i + 9*i**2 in the form z + h*i + t*i**2 and give t.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09902593 to 4 dps.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:15 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from wyfswfwsqs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2123 - 1989968258.\nAnswer: -1989970381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/1153 + -70331\/2306. What is the common denominator of -45\/26 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4 - 88*t**3 + 240*t**2 - 232*t + 76 = 0. Calculate t.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-7 - 3)\/(-20))\/(11 - (-4448)\/(-404))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(756\/381 + -2)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -389713563*y**2 + 213177517 with respect to y.\nAnswer: -779427126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-7))\/t)\/((t\/t**1)\/t))\/(t**1*t)**(-1\/16)*(t**(-2)*t)\/(t**6*t*t)*t\/((t*t*t**(-1\/6))\/t)*t**6 assuming t is positive.\nAnswer: t**(127\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 12 - 3\/2*y**2 + 0*y. Let z(b) be the second derivative of -2*b**3\/3 + 2*b. Give z(l(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4 + q**3 + 0 + 9*q + 5 + 8*q**2. What are the prime factors of z(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 237*g**2 + 5 - 18 + 10.\nAnswer: -237*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*r + 345 = 2*r. Which is smaller: -618 or r?\nAnswer: -618","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2.4, 14\/3 in decreasing order.\nAnswer: 14\/3, 2.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244518789 is divided by 81506260.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:15 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6)\/((-1)\/9). Let i be (-468)\/(-3)*(-3)\/d. What is the derivative of 4*x**3 - 71 - 3*x**3 + i wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151974, -152183, -152392?\nAnswer: -152601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2321*r - 2750. List the prime factors of l(14).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**3 - 2*a**2 - 5*a - 3. Let v be (-27)\/(-4) + -4*1\/(-16). Let q(h) = 9*h**3 + 4*h**2 + 11*h + 7. Determine v*j(z) + 3*q(z).\nAnswer: -z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -15912805 at least as big as -15912803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 327929 + -798429. What is w rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28514, 28447, 28354, 28235, 28090, 27919?\nAnswer: 27722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174 divided by 587?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2 - (-44)\/18) + 187120\/180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 644764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - ((15 - 19) + (1 - 8))) + -7 + 60\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 842490835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-48)*(1 - 4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*f - 82, 0 = k - 6*k - 2*f + 356. Suppose 170*l - 169*l + 312 = 3*v, 3*l + 336 = 3*v. What is the lowest common multiple of v and k?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.31 + 0.323. Let i = p + -0.0129979. What is i rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.3619101 - 0.4118199. Let z = -0.00373 - b. Let s = z + -24.4. What is s rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 0.268904508\nAnswer: -0.468904508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(5))*4)**2 - (sqrt(120)\/sqrt(6))**2.\nAnswer: -64*sqrt(5) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 51, 124, 253, 456, 751, 1156?\n\"Answer: 3*h**3 + h**2 + 11*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/14 - (-208)\/(-112)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6992 to two dps.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-15))\/((-3)\/1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u + 1. Let s(o) = -2*o**2 + 3*o - 2. Let a(l) = 3*b(l) + s(l). Let n(m) = -2*m - 24 - 20 + 29 + 2*m**2 + 19 + 4*m. Calculate 3*a(d) - n(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -5*t + 122. What is the units digit of 24\/(-4) - (-575 + t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-148)\/6)\/(8\/(-12)). Suppose 10*j - 277 = -c. Suppose 4*x + 2*h = j, -2*h + 41 = 5*x + 11. Solve 11 = -4*v + m, -3*v = -x*v - m - 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 17*c + 571 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjhh. Give prob of sequence jhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 70 + 56. Find the second derivative of w*z**3 + 0*z**3 + 31*z + 0*z**3 wrt z.\nAnswer: 126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 7*d + 9. Let g be t(6). Let s = 0 + g. Find the first derivative of -f**s - 8*f**3 + 20 - f**3 wrt f.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o + 68. Let w(x) = 16*x - 63. Give 5*i(j) + 6*w(j).\nAnswer: 31*j - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**4 - 155*x**3 + 860*x**2 - 1420*x + 720 = 0?\nAnswer: -36, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/147 (b) 0.2 (c) 1\/2 (d) 14 (e) -1 (f) -5\/4 (g) -15902\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -754 (base 9) to base 3.\nAnswer: -211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525913489 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 3. Let g be s(-6). Let c be (-36)\/16*12\/g. Solve w - 8 = c*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 1. Let j(g) = 21*g + 4. Determine -3*j(t) - 15*r(t).\nAnswer: -108*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.004 - -27.904. Let n = w - 28. Is -2\/7 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 32 = 2*g. Suppose -g = -7*w + 13. Which is the biggest value? (a) w (b) -1\/4 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200)*-4)\/(sqrt(64) - (sqrt(64) - sqrt(64)*-1)).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3885 = -14*j + 19*j. What are the prime factors of j?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -4908670826170.8?\nAnswer: 4908670826167.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-70 - -67) + (-3 - -3) - 6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30658 divided by 3.\nAnswer: 30658\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = d. Let b = 2 + d. Let p be b\/((2 - 3)\/1). Solve -w = -p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.46916643 rounded to one dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x. Let v(i) = 2*i - 2. Let r be v(9). Let j(b) = r*b**2 - 31*b**2 + 13*b**2. Calculate j(h(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 8*c - 10. Suppose -5 = o - 1, c*n + 2*o = -2. Suppose 0 = 2*b - 11 + 3. Calculate the least common multiple of b and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2457 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2350001*o**2 - 3*o + 2. Let v be x(2). What is v rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 845 and 143220.\nAnswer: 24204180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -11, 12, 55, 124, 225?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 107 - (22 + 16 + 14)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47788, 190892, 429400, 763312?\nAnswer: 1192628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 265166 and 39820.\nAnswer: 479950460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + x + 0*x)*(0 + 1 - 3) + 1 + x - 1)*(4*x**3 - 3*x**3 - 2*x**3).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, 2\/9, 2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-5 - -3) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/718 and 107\/18.\nAnswer: 6462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*j**2 + 142*j**2 - 72*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157*s**4 + 5.\nAnswer: 628*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3020030 - 20112?\nAnswer: 2333312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-12) + (-1 - 56\/(-3)). Calculate the highest common divisor of 45 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i. Let n(a) = -245*a. Determine q(n(b)).\nAnswer: -1715*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3688 + 3712. Solve -f*r + 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -191.87 + 191. Let z = 0.07 + a. Let h = 0.9 + z. Is -3\/7 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10298, -10295, -10292, -10289, -10286?\n\"Answer: 3*g - 10301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 371*m**3 + 8*m - 20. What are the prime factors of u(2)?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89705076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74 - 672304.\nAnswer: -672378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 61*d + 299. What are the prime factors of h(-50)?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(20\/5) + 325. Let d = -329 + r. Sort d, 5, -5, -8 in ascending order.\nAnswer: -8, -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (-43 + 89 - -28)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:45 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2 + sqrt(1573)*-2)**2 + -2 - (1 + (sqrt(1872) + 0 - sqrt(1872)))*6).\nAnswer: -88*sqrt(13) + 6286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151*s + 40*s - 333 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 131*x**2. Let h(r) = -16*r + 30. Let o(f) = -50*f + 96. Let a(j) = 16*h(j) - 5*o(j). Determine a(v(g)).\nAnswer: -786*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*x**5 - 95491*x**4 - 2*x**3 + 579121693*x**2?\nAnswer: 1080*x**2 - 2291784*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + i = -2 + 4, 2*i = 5*x - 7. Sort 4, -4, x.\nAnswer: -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/6)*r**(-1\/4)*r*r*(r\/r**(-7))\/(r*r**6*r*r) assuming r is positive.\nAnswer: r**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 925 in -1, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 + 14 - -1*(3 - 1). Solve 4*h - n*h + 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*z = -25, -z = -6*r + 2*r + 35. Suppose 0 = 9*t - r*t + 5. Suppose 0 = -x - 1, -t*w + 254 = -x - 107. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = c - 2821, -2722 - 5774 = -3*c + a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -516, -1044, -1570, -2094, -2616?\n\"Answer: l**2 - 531*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 7, i: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-369*c - 471*c + 672*c + c**2)*(-2*c - c + 6*c).\nAnswer: 3*c**3 - 504*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 30*g + 52 = 0. What is g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 1, m: 2, q: 1, y: 1, k: 1}. Give prob of sequence qhk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -223 by -4.\nAnswer: 223\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248219 and 29273?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/1*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 = m - 2*t, 4*m - 5*t + 15 = 0. Calculate the remainder when 4 - -1*(-2 - m) is divided by (-13 - 0) + 4214\/301.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 o, and 1 y when four letters picked without replacement from unoznnyoznzznoznz?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4950 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -6, -4*j - 5*s + 0*s = 58. Let y be (j\/(-10))\/(42\/140). Let u(h) = -16*h. Let f be u(-2). Solve 0 = -z + v, -y*z - 2*v + f = 2*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjmtkdmjddtmv. Give prob of sequence kdtd.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/11 + -1 - (-3801)\/33 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let t(n) = n + 9. Let r(m) = -8. Let w(o) = 5*r(o) + 4*t(o). Determine v(w(z)).\nAnswer: 4*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5077101 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5423c0 (base 13) to base 6\nAnswer: 110203022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -15*u + 8, p - 617 = 2*u. Calculate the remainder when p is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 + 45996*y**4 + 132065924*y**3 - 926071948*y**2 + 1853064312*y - 1059104288 = 0. What is y?\nAnswer: -5753, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -75, 8\/7, 49, -1\/10, -1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2) + -1)*-2. Let f = q + -9\/2. What is the third biggest value in -0.1, 4, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 17*v + 196. Give z(-15).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 0 + 3 - 2. Let l = 2849 - 2858. Let a(f) = 5*f + 4. Calculate l*x(w) + 2*a(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2564735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -15 + -1)*1. Let o be 2\/b + 804\/156. Suppose 0*h = 2*h + 3*s - 14, -19 = h - o*s. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {c: 7, a: 6, k: 3, i: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 120955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4.1728, -5, 190\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890262028.\nAnswer: 2, 41, 5428427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8268590700 rounded to the nearest one million?\nAnswer: 8269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + sqrt(99)*2)*-2 - ((sqrt(99) - (sqrt(99) + sqrt(99)*-1*-4)) + sqrt(99)))\/(1*1*sqrt(324))*2)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 2*x = -930. Let s = x - -72. Suppose s*n = 7*n + 12. Solve -n*j = r - 15, -6 = 2*r + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 2. Let u be n(1). Is 2 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6a46 (base 12) to base 13.\nAnswer: -78a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 3 + 22*f**2 - 10*f**2 - 8*f**2 + 3.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246855.\nAnswer: 3, 5, 7, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -186546*m + 559651. Give q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 305 + -322. Suppose -i = i + 28. Let w = x - i. Is -1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 13987.\nAnswer: -27974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469497 is divided by 4429?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*s - 16163, 2*s = 3*q - 10029 - 2093. Suppose -4*p - q = -12*p. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + d = -2, 5*g = -5*d + 22 - 2. Solve -5*t = -g*u - 23, t = u + 4 + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/6 (b) -2 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.92 + 0.87. Which is the third biggest value? (a) q (b) 1\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwjwwwwpwwjwjw. Give prob of picking 1 r and 1 w.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*i + 4632 = -3370 + 2392 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 423316709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, 9, 266 in descending order.\nAnswer: 266, 9, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1016382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2409 - 2392. Sort g, 3\/5, -2\/7, -0.2.\nAnswer: -2\/7, -0.2, 3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 + 3.316. Let p(x) = 2*x**2 - 68*x - 574. Let s be p(41). Which is the closest to 0.2? (a) s (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -139, 1\/3, 0.121, -1\/3, 2, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awccspea. Give prob of picking 1 s and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39 (b) 2 (c) -3\/5 (d) 2\/9 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*0\/(4\/(-2)). Suppose 0 = 5*z - i - 216, -4*z + l*i + 2*i = -174. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2075 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -19. Suppose -13*r + 54 = -a*r. What are the prime factors of (-6*(-20)\/r)\/((-5)\/(-45))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-16)\/(-2))*-12. Suppose -3*f = -4*f + 3. Suppose -t + 3 = f*y - 5*y, 3 = -y + t. Solve 2*r - o*r = y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*m - 145*m + 2137976. What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215.9 - 231. Let s = 15 + g. Which is the closest to 2? (a) s (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 372*f**5\/5 - 143*f + 73. Differentiate b(j) wrt j.\nAnswer: 1488*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u - 200 + 7*u + 410 to y + s*u and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.2274 millilitres in litres?\nAnswer: 0.2802274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 14*t - 1741. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 1:22 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*p + 8 = 0, -p + 2 + 1 = -f. Let b be 12 + 4\/(-2) + 0\/(-1). Let c be 1\/((-9)\/30 + (-2)\/b). Sort 0, c, f.\nAnswer: f, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3869828 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2093\/4 - -524. Is p < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 19 + 1. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 43 = -3*l + s, -3*l - 5*s = 23. Suppose 8*j - 5*j = 27. Let b(m) = -m**2 + 9*m - 8. Let x be b(j). Is l at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388623.\nAnswer: 3, 281, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 - 2*a**2 - a**2. Let v(n) = 4*n**2 - 3*n**2 - 4*n**2 + n**2. Give y(v(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 2711867?\nAnswer: -2711865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.72 + -928051?\nAnswer: -928050.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*n - 15. Let d(r) = n*r - 1 - 5*r**2 - r**3 + 5*r + 2 + 5. Suppose 7*s - 2*s - 13 = 3*w, 5*s + 29 = -4*w. Determine d(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 1. Let i(m) = 26*m - 20. Let f(h) = -12*h + 10. Let p(s) = 5*f(s) + 2*i(s). What is p(n) + 6*t(n)?\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5 + l + 11 + 13 - 29. Let z(n) = -11*n**2 + 6*n. What is -6*y(c) + z(c)?\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19086 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**(-3\/11))*o**(-1\/10)\/o)\/((o*o\/(o*o*o\/o**(3\/10)))\/(o*o**(1\/15))) assuming o is positive.\nAnswer: o**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 7207688.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 78276, 4, -2, 2, -5 in increasing order.\nAnswer: -5, -2, 2, 4, 38, 78276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -140 + 149 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4) + ((-21)\/(-3))\/14\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*p + 14810 = 9*s, -s + 3*p + 1134 = 0. Does 76 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 18. Let n be h(-12). Suppose -4*u + 14 = -2. Solve 5*w = -u*c + n*c + 23, 0 = 3*w - 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63053 or -63054?\nAnswer: -63054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -8*g**5\/5 - 12*g**3 - 29. Find the third derivative of n(a) wrt a.\nAnswer: -192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1095*b*k**2 - 2*b*k + 4*b + 165*k**5 + 4*k**4 - 11*k + 2400 wrt k?\nAnswer: -2190*b + 3300*k**3 + 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-6)\/(-16)*-20. Suppose -v - 44 = -3*s + 2*n, -3*n + 61 = 2*s. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 914528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from lpllplplplllplll?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13333215*b**2*o**2 - 58331*b**2*o - 67*b*o wrt o.\nAnswer: -26666430*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3544828 from -0.3.\nAnswer: -0.6544828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35372311 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 430343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:00 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 12*h**2 + h - 9. Let q be g(12). Is (1\/q)\/(3\/189) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2347694 and -24.\nAnswer: 2347670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*a = -21*a + 25*a - 165376. Are -1 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 2\/19, -0.5, 4, 7\/3 in decreasing order.\nAnswer: 4, 7\/3, 2\/19, 0, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.8734 times 2.5?\nAnswer: 112.1835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 30*u**2 - 67*u + 7. What is q(-12)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2062*t - 19488 = -1803*t + 4213*t for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 41350 = -x + 5*w, 4*w + 51667 = -5*x. What is the remainder when x\/(-260) - (-3)\/(-4) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 260*p**2 - 1201*p - 378198. Determine v(-259).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/582)\/(7\/(252\/(-45))).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83205820 to the nearest integer?\nAnswer: 9122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30119\/1446 + 240\/241. What is the common denominator of g and -17\/8163?\nAnswer: 16326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a06 (base 11) to base 14.\nAnswer: 15b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 + 35*y - 35. Let k = 0 + -6. Let a(b) = 1120*b - 7805. Let x be a(7). Let o(u) = -u**2 + 6*u - 6. Give k*s(m) + x*o(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -457 + 864. Let k be (3 - 2) + g + -2 + 1. Calculate the highest common divisor of 37 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 795*h**5 + 1 - 801*h**5 + 1 + (-17 + 17 + 5*h**4)*(3*h + 0*h - 2*h).\nAnswer: -h**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*g**4*l**2 - 2*g**2 - 169*l**2 wrt g.\nAnswer: -196*g**3*l**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259004310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-312) - 2660\/22971.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.49 and 18740.\nAnswer: 215322.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.2, -392, -1 in ascending order.\nAnswer: -392, -1, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-4)*f**(-1)\/f*(f\/(f\/f**(2\/3)))**19 assuming f is positive.\nAnswer: f**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21840.7 and 2.\nAnswer: -43681.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-37)\/(38332\/370))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1173 divided by -3\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3152 (base 10) in base 6?\nAnswer: 22332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -293 - -297. Let m be ((-22)\/u - -4)*20\/(-15). Solve -5 = -m*x + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 22. Let t(h) = h**2 + 8. Let j(r) = -11*t(r) + 4*w(r). Let q(f) = -46*f + 4. Give q(j(m)).\nAnswer: -46*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382662 (base 12) to base 11.\nAnswer: 576875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 378, 526, 716, 960, 1270, 1658, 2136?\nAnswer: 2716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978087.\nAnswer: 3, 11, 107, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49045*a**2 - 14*a - 2768413.\nAnswer: 98090*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128411 is divided by 97?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 84*v + 2424. Give f(-107).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.117 - 10.517. Let y = 1.4 + -12.2. Let h = b - y. What is the smallest value in -0.5, h, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*g + 2*g + 4*w, -5 = g + 2*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 31 = -4*k - 262, 2*t - 158 = 4*k. What are the prime factors of t?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - -0.06. Let n = -1.9 + 2. Let j = 0 - n. What is the second biggest value in w, j, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -0.4, 3\/7, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.2, -1\/41, -0.4 in ascending order.\nAnswer: -3\/4, -0.4, -0.2, -1\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 124*b - 119*b = 35, s - 5*b = -15. Let p(y) = -y**2 - 9*y - 9. Give p(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*j + 197*j - 574*j + 170*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 7. Suppose -c + 4*c - 1 = y, f = 5*y - 5*c. Suppose -y*u - 2*u = -388. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.3, 107, 0, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-48)*78\/182)\/(30\/8).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, o: 3, m: 2}. Give prob of sequence mz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p + 16. Let x(u) = 2*u - 2. Let h(z) = -w(z) - 2*x(z). Let k = 0 - 5. Is 14 a factor of h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38043194?\nAnswer: 2, 7, 661, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.9, -42\/149, -1.612?\nAnswer: -42\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/69? (a) -10\/9 (b) 0.109 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9915 + -4?\nAnswer: 9911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**3 + 6*g**2 - 3*g - 56. List the prime factors of f(6).\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + -341411?\nAnswer: -342014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 h, and 1 i when three letters picked without replacement from lhiizliillllllzlzzzi?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r = 22*r + 180 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462, -1526, -3304, -5796, -9002?\nAnswer: -12922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 152 = q - 45, 2*y + 396 = 2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 18\/25915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4454 - 83*b - 4454 as q + u*b and give u.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 32, 11, -1880?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by -6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o + 3. Let h(l) = -l - 1. Let w(k) = d(k) + 3*h(k). Let x(a) = a**2 + 3*a - 6. Let f be x(7). Let m(j) = 136*j - 71*j - f*j. What is w(m(g))?\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5089112.\nAnswer: 1\/2544556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {z: 11, m: 1, i: 8}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 0. Let y(d) = d**3 + 5*d**2 + d - 5. Let r be y(t). Let q(a) = a**2 + 10*a + 2. Let u be q(r). Solve -m = -4*i + u*m - 7, -3*i - 4 = -m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 8. Let c(n) = -2*n**3 - 56*n**2 - 54*n + 6. Let m be c(-27). Let q(s) = -6*s**2 + m*s - 6*s + 3*s**2. Give t(q(d)).\nAnswer: 9*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - 0.08. Let g be (-1)\/6*(-6)\/4. Put 2, g, n in increasing order.\nAnswer: n, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1247 - 4064 = 198*o + 2411 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0256 * 1\nAnswer: 0.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2361 * -16\nAnswer: 37776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22\/5 + -4. Which is the nearest to y? (a) 0 (b) -1\/8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 10, 1, -7, 41 in descending order.\nAnswer: 41, 10, 2, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 229.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.0649 + -0.0649. Put 1\/4, 1.3, v in decreasing order.\nAnswer: v, 1.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3954.31mm to nanometers.\nAnswer: 3954310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*r**2 + 60*r**2 - 7*r**2 to w*r + d + x*r**2 and give x.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 818? (a) -9 (b) 17 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9848.4873 rounded to the nearest 100?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 127*u + 3488 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47137109?\nAnswer: 47137109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89265 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 674 - 388. List the prime factors of j.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91127071?\nAnswer: 7, 13018153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 28. Let q(m) be the second derivative of -1\/2*m**2 - 1\/15*m**6 + 0 + c*m**3 - 2*m + 0*m**4 + 0*m**5. What is the derivative of q(k) wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 8, b: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (63 - 60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/96 and -80\/627.\nAnswer: 20064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:10 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 8. Let z be u(-6). Suppose 20 = y - z*y. Let h be (0 - -2)\/((-96)\/992). Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:52 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 224\/72)*(-3)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 33 = 27. Let n be (1 - 81797\/(-83356)) + -2. Let d = n - 3\/916. Is d bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 2*q - q. Suppose -q = c - 2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*d + 9 + 7, -18 = -5*a + d. Suppose a*t - 4 + 16 = 0. Is t <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -58111, -5, 4, -352 in increasing order.\nAnswer: -58111, -352, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - k + 4, 9*w - 7*w + 2*k = 0. Is (-1)\/w*2\/3*26661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*g = -102, -10*k - 3*g = -5*k - 133. What is the remainder when 75 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r - 19*r - 21*r.\nAnswer: -53*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t + 435 = -3*x, -t + 145 = 2*x. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1401 + 514. Let p = i + -7713. What is p rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27950952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-144))\/(((-138)\/46)\/(-12))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8*v - 152. Suppose -2*h = -8 - v. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 184 = -k + 194, c - 2*k - 80 = 0. Let n = 79 - c. Let z(s) = s**2 + 7*s - 8. Is z(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 9\/2*l**2 - 21*l - 32. Let t be b(3). Solve -u - t = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 11 + (16 - (3 - 6))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(90\/25)\/6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 484.1505 minutes?\nAnswer: 29049030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -73. Let a = -2202 - -2264. What is the highest common divisor of d and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1779 - 726 = 5*x. Let y be 8\/(-20) - x\/15. What is y rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155247 is divided by 375.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbvcvv. What is prob of picking 2 b and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.9964 + -8. Round z to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*a + 39, -67*n - 3*a - 42 = -63*n. Let v(w) = -w**2 + 49. What is v(n)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*t = 71, -2*v + 0*v + 44 = 4*t. Suppose 0 = -4*h - 10*h + v. Suppose -d = l - 22, h*d - 100 = -3*d - 3*l. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 71 - -1f?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0165998062 to 4 decimal places.\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h + 498. What is the common denominator of -1\/8 and h\/(-378) - (-6)\/21?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*l = 2*l - 12, -5*l = 4*p + 4. Let n(r) = r + 1. Let a be n(p). Suppose a*b = 3*b. Put b, 4, -1 in ascending order.\nAnswer: -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - 172\/(-16) - (-4)\/16. Let l(v) = -10*v**3 + 9*v**2 + 3*v + 15. Let o(b) = 3*b**3 - 3*b**2 - b - 5. Let i(j) = d*o(j) + 2*l(j). Calculate i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35058, -71085, -107112, -143139, -179166, -215193?\n\"Answer: -36027*r + 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-118)\/4)\/((-3)\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4140*p**4 - 20*p**3 + 25*p**2 - 10840463*p wrt p?\nAnswer: -49680*p**2 - 120*p + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-297)\/(-66)*(-4)\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 84, 126, 168, 210?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12344*o**2 + o**3 + 0*o**3 - 12344*o**2 - o**3 + 12*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8643 is divided by 166.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 39. Sort 0, x, 1, -4.\nAnswer: -4, x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/9707684 and 53\/352?\nAnswer: 854276192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6)\/(1\/20). Let w be m*(-2 - (-10)\/4). What is the third biggest value in 0.4, w, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -2. Let i = 0.96768 - -0.03232. Suppose -z = 1 - 0. What is the third smallest value in i, d, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 2*a - a)*(-24 + 11 - 17) - 2*a + 3*a + 2*a.\nAnswer: -57*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 3\/7, 8832, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Suppose -36 = -2*o + 4*t - 0, -2*t = r*o - 42. Let i = -14 + o. Which is the closest to 1\/4? (a) 4 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -61*f**2 - 17*f - 29. Calculate v(-2).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 4\/3, -407?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 7. Let r be v(7). Let x(m) = -m. Let i be x(-2). Let s(w) = 10*w - w + r*w + i*w. Let d(u) = -u**2. What is s(d(f))?\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l. Let t = 2.36 - -12.74. Let k = -15 + t. What is the nearest to l in -2, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let w(o) = 692*o + 0*o**2 - 229*o - 230*o - 227*o - 2 - 10*o**2. What is -6*i(y) + w(y)?\nAnswer: -10*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 197.3*-3\nAnswer: -591.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1217 or 1216?\nAnswer: 1217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + d + 1. Let x(u) be the second derivative of u**4\/3 - u**3\/3 - u**2 + u. Give 2*c(m) + x(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Let a = 3 + h. Suppose 10*p - a*p - 152 = 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 26*k**2 + 9*k - 287*k**2 - 4*k.\nAnswer: k**3 - 261*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2327*k - 3032*k - 8379*k.\nAnswer: -9084*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 6*q + 4. What is x(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 245 - 16*l**2 + 3*l**2 + 2*l**2 + 10*l**2 in the form j*l + d*l**2 + g and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29678 + 29678. Let b = -5.6 + 3.6. Let v = -7 - -11. What is the closest to b in 6\/5, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926652 a multiple of 1457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6568 - -6607. What is the highest common factor of r and 10569?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 4 - 9 + 73*c + (5 - 2*c - 5)*(3 - 1 + 0) + (-1 + 1 - 2*c)*(-3 + 3 - 2).\nAnswer: 73*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(17))**2 - sqrt(272)*2.\nAnswer: -12*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/15)\/((-6)\/30). Suppose -l*m + c - 21 = 0, 22 = -4*m + 5*c - 23. Let b be (6\/(-4))\/(5\/m). Solve 3*d - 4*i + 8 = 0, b*d + 4 + 6 = 2*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 1, t: 3, m: 1, b: 1, n: 2}. What is prob of sequence bm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*u + 98, -263 = -5*u + 2*h + 24. Suppose 2*j - 4*j + 120 = 0. Let t = -40 + j. Calculate the remainder when u is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/((j\/j**(2\/7))\/j)))**(21\/4)*((j*j*j**1*j)\/j)**(2\/67))**(2\/19) assuming j is positive.\nAnswer: j**(1029\/2546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 4*b**2 + b - 25 - b to the form w*b + d*b**2 + i and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183554?\nAnswer: 2, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8820000 to the nearest one hundred thousand.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4051 - -4051.4. Which is the closest to -0.1? (a) -5\/2 (b) h (c) 0.5 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 11*k + 5. Let f be g(-11). Let i = 49 + -15. Suppose -u + 2*t = -18, -u = -3*u + f*t + i. What is the lowest common multiple of u and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-7 - -1) + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72936.287 rounded to the nearest 10?\nAnswer: 72940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -240550, 1, -5 in decreasing order.\nAnswer: 19, 1, -5, -240550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*y + 36 - 45 = 2*o + 79, 47*o + y = -938 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, -3, -121, 0, 5, 2 in descending order.\nAnswer: 5, 2, 0, -3, -106, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 minus 604?\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**7\/840 + c**6\/72 - c**5\/30 - 5*c**4\/8 - 74*c**3 + 69. Let l(o) be the third derivative of z(o). Give l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j\/(j**(-13)*j))*j)\/j)\/(j*j*j**(-3)))**(-22))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:44 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1001 and 27\/1710982.\nAnswer: 18820802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 289\/2 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.39 - -17.29. Let g = 0.07 + 0.03. Sort g, w, -0.2, -4 in increasing order.\nAnswer: -4, -0.2, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10148519598.3 + -3.1.\nAnswer: 10148519595.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7979 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 - 175*j - 2010. Let f be o(38). Determine c so that -16\/3*c**2 + 0*c - 2\/3*c**5 - 4*c**f - 8*c**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*x + 66932, -5*z + 30411 = 4*x - 36515. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -2, -1, 49, -3 in ascending order.\nAnswer: -7, -3, -2, -1, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -4. Let z = 6 + l. Suppose -y - 4*f + 1 = -f, -y - 3 = z*f. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c578 (base 15) to base 10\nAnswer: -294863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 60. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 18. Let o be 5\/2 - ((-18)\/(-4))\/s. Is (-2)\/o + 3\/((-27)\/(-105)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 9*w**2 - 5*w. Give y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z. Let d(i) = -75*i**2 - 103*i - 9. Determine d(j(r)).\nAnswer: -675*r**2 - 309*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 16*v - 73. Suppose 71 = 4*f - 5*c, -5*f = c - 4 - 63. What is the hundreds digit of z(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 2*c**2 + 2*c + 1272. Let k be y(0). Is 1 + -6 + 6 + k + -6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = l - 2*l, -4*l + 10 = -3*k. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22612*s**4 + 9*s**3 + 363092 wrt s.\nAnswer: 90448*s**3 + 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Calculate the greatest common factor of o and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 7. Let x be 0 - w - -6 - -1. Let b be (6 + -10 + 4)\/(1*-1). Sort b, x, 5.\nAnswer: b, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -97845\nAnswer: 97845.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4 - 6. Let z be (-25)\/10*(-8)\/j. Suppose 3*c - z = 5*c, -3*b + 81 = 3*c. Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(50)*4*4)**2.\nAnswer: 1440*sqrt(2) + 115209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 28*x - 16. Let h(o) = -o**2 - 14*o + 9. Let y(l) = -5*h(l) - 3*j(l). Determine y(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1 - (-4 - 1)) + (-29 - (-66 + 33)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131296 or -131289?\nAnswer: -131289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11329*c**5 - c**4*q**3 + 6*c**2*q**3 + 293*c*q**3 wrt c?\nAnswer: 679740*c**2 - 24*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*b + 20. What is the units digit of b*1 - 6\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 23 = u, 0 = -2*u - 5*a - 11 + 2. Let z(y) = 32*y + 79. List the prime factors of z(u).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (337*j + 462*j - 666*j)*(-2*j**3 - 2*j**3 + 3*j**3) + (j**3 - 2*j + 2*j)*(4 + 3*j - 4).\nAnswer: -130*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0 + 1\/6*k**3 - 1\/12*k**4 + 2*k + 5*k**2. Is j(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*q**3 - q**3 + 9 - 10 in the form g*q**3 + u*q**2 + a*q + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 13*v**5\/20 + 5*v**4\/12 - v**3\/2 - 3*v**2 - 3*v. Let o(d) = d**2 - d - 1. Let w(x) = m(x) - 5*o(x). Is w(1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.146 + 9.046. What is the nearest to m in 3, -0.04, 0.7, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 5 + 2 + 0.\nAnswer: -8*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -3.8. Let n = 1.5 + -1.62. Let y = n - -2.12. Which is the nearest to -1\/3? (a) t (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*o - 3*n, 5*n = -6*o + 5*o + 42. Calculate the smallest common multiple of o and 1904.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - a + 360, 2*h - a = -24 - 117. Let w = h + 73. Solve 0 = 3*r - w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 10. Give k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1115 - 1?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2422 and 16062358?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 8*d + 2. Let g be u(8). Let c(p) = 2*p**2 - p + 2. What is the units digit of c(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2014339539 to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 - m. Let f be x(1). Let n be (-1)\/3 + (-8)\/f. Let u(i) = -11*i + 10. Let b(c) = 29*c - 28. Let w(h) = -4*b(h) - 11*u(h). Determine w(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24933 = 89*t - 17520. Calculate the greatest common divisor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.940471 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-312)\/120 + 23)\/(18\/75)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, p: 11, l: 1}. What is prob of picking 2 l and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1 - 2) + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-45)*210\/(-84)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 k when four letters picked without replacement from {u: 2, k: 7}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 5*j + 10, -5*g + 2*j + 73 = 0. What is the units digit of 1\/(-5) + 3\/g*521?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-75) - (-91)\/(-35). Let m(l) = 2*l**2 + 12*l + 14. Give m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-5)\/1)\/(-15)*-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2284 and (-334740)\/52920 - (-1)\/(18\/2).\nAnswer: 15988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2600 and 26200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*j**5 - 1912*j**2 + 304373*j + 19 wrt j.\nAnswer: -940*j**3 - 3824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {j: 3, c: 2, r: 5, s: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - -2022?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2041137, -2041139, -2041141?\n\"Answer: -2*q - 2041135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 134 = 5*y - 144, 2*y - 180 = 46*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 46 = 4*h, -l + h + 26 = -3*h. Let x(q) = -q**3 + 9*q**2 + 10*q. Let v be x(l). Suppose -y + 15 + 35 = v. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zazz when four letters picked without replacement from aaaaazzzaaaaaazaaa?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2 > -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3414 and 126.\nAnswer: 71694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, t: 2, l: 3, a: 3, e: 6}. What is prob of sequence latt?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(1\/(-5))\/((-73)\/584)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3275450*d - 1091781*d - 1091834*d - 1091833*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1138\/3 (b) -20 (c) 3859\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5677795549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12043 != -12033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5420495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffhb when four letters picked without replacement from bbhhhhfhfbbdhhfbbdb.\nAnswer: 49\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1205.\nAnswer: 120.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**11*t)*t*t)**(1\/5)\/((t\/(t\/(t*t*t\/(t\/t**(-3\/8)))))\/t)**(-20) assuming t is positive.\nAnswer: t**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s**2 + 5*s + 5. Let c(y) = -6 - 143*y**2 + 294*y**2 - 158*y**2 - 6*y. Calculate 5*c(x) + 6*n(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 0.0347 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 + (-42)\/(-9). Suppose -3*s - 4*n = 3, 4 = -3*s - 5*n + 1. Which is the closest to s? (a) 0.2 (b) t (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:19 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3037 by 2309.\nAnswer: 3037\/2309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/59 - 148\/295. Let z = 232\/3 - 78. Which is the closest to 1? (a) z (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 2, -4, 2\/7, -0.101?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1978 + 1986. Let k = -190\/3 + 64. Which is the nearest to 2? (a) -2 (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r - 3. Suppose -6*g = -3*g - 42. Let y be p(g). What is the highest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/17))**43*w\/w**(-23)*w**(1\/36)\/w)**(-43) assuming w is positive.\nAnswer: w**(-472871\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -113340412 (base 5) to base 7\nAnswer: -4325133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124\/3 + -1001\/24. What is the third biggest value in -2, -0.3, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -492, -1036, -1716, -2484, -3292?\nAnswer: -4092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 - 759*o + 396. Let z be b(108). Solve 23*q = z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/2 in -2\/21, 1\/6, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 967321, -1, 21.\nAnswer: -1, 21, 967321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*v = -29, 0 = -4*v - 2 - 2. Suppose -3 = -s*y + 7. Solve -5*x - 20 = -x + 4*a, -y*x + 5*a = -4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y - 5. Suppose -28 + 32 = -r. Let h(g) = 6*g + 4. Let v(c) = r*h(c) - 3*d(c). Let a(t) = -t. Determine v(a(u)).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0254 - 5.0254. What is the second smallest value in 85, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -40116*q - 762236. Calculate a(-19).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q + 133. Let x(o) = 15*o + 135. Let r(w) = 4*m(w) - 3*x(w). Let s be r(-8). Solve -4*y = 5*t - 4 - s, -3*t = 2*y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -26, -65, -140, -263, -446, -701, -1040?\n\"Answer: -2*k**3 - k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -313172182700 to the nearest one million.\nAnswer: -313172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4599905 - 0.46. What is q rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6895 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-3))\/(76*(-84)\/(-9576))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.039181 - -2.324091. Let s = w + -2.341. Let h = s + 0.0625. Round h to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 889436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 36*d - 561. Give f(29).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*r - 2. Let u be 158\/(-2) + (5 - r). Let q = u + 132. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 10*f**2 - 4*f - 6. Let r be d(-10). Let l(o) = -o**3 + 35*o**2 - 33*o + 88. Is 35 a factor of l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(125) - sqrt(125))*4*4)**2.\nAnswer: 128000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-456)\/14*(2 - 27\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.63 * -0.5.\nAnswer: -1.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212843695.736 + 212823606.0657037. Let m = 20068.6703 + w. Let p = m - -21. What is p rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131*y - 31*y + 1001*y + 848*y to z*y + n and give z.\nAnswer: 1949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18560 and 17168.\nAnswer: 686720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 56594, 55130, 53666, 52202, 50738?\n\"Answer: -1464*i + 58058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f = 148*f - 123648. Calculate the greatest common factor of 147 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003132798 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {i: 2, n: 8, r: 1, u: 1, g: 1, f: 3}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 108. Let f be h(-12). Sort 3, 2, 5, f.\nAnswer: 2, 3, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23935 and -0.1.\nAnswer: 2393.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/60 + m**4\/24 + m**3\/6 + 2*m**2. Let k(a) = a + 31. Let q be k(-16). Let z be (9\/(-6))\/(q\/20). What is d(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -137 + 27 + 20*j + 27 + 25*j**2 + 62. Determine w(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18276 - 17641. Let p(a) = a**2 - a + 5. Let g be p(0). Suppose -3*o = g*u - 1233 + 186, 0 = 3*u - 5*o - j. Is 42 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 2. Let g = -14\/117995 + -519136\/353985. Are k and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5666 divided by 23\nAnswer: 5666\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*k + 32 = 0, k = 3*r - k - 23. Which is the closest to 1? (a) r (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-56 + 53 - (-6 - 1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19819.993 + 19812. What is s rounded to one dp?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. Suppose -k*u + 134 = -11. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 51116?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 19*x - 30. Let w be b(17). Solve 0 = -w*c - 0*c + 12, -l - 7 = -2*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 15*p. Let v(g) = -8*g**2. Give v(f(a)).\nAnswer: -8*a**4 + 240*a**3 - 1800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:30 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343681674 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a = 2*l + 30, 3*a = 3*l + 27. Put 3, a, -5 in descending order.\nAnswer: a, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**6\/b*b*(b**(-7)\/b)\/b)**(-5\/3))**(-3\/5))**7 assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = -556*p + 540*p. Suppose 1 = -q + 2*q. What is the greatest common divisor of p and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336354 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 1 + (-272)\/34. Let j(n) = 5*n**3 + 2*n**2 - 2. Calculate j(x).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4472310 divided by 894462?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1963 + 2037. What is the highest common divisor of d and 4625?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -1, -4 in descending order.\nAnswer: 6, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6708594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11 - 49 = 0. Calculate the greatest common divisor of h and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 79 = -82 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -65, -66, -67, -68, -69?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51628, -51653, -51678, -51703, -51728?\n\"Answer: -25*h - 51603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4218, 4244, 4272, 4302, 4334, 4368?\nAnswer: 4404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 891386057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**5\/10 + 31*m**4\/12 - 10*m**3\/3 + 34*m**2 + 1218*m + 2. Give f(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42*16.\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492952502 and 5110?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j + 1\/360*j**6 - 5\/3*j**3 + 0*j**2 - 10 + 1\/3*j**4 - 1\/120*j**5. Let y(i) be the third derivative of f(i). What is y(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23329 is divided by 23270.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbbnbrnnxsnnbs. What is prob of picking 1 x, 1 s, and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 199.9 and -4452246?\nAnswer: 4452445.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*d*l**2*m**3 + 102619*d*l**2*m**2 - 582*d*l*m**2 + 3*d*l*m + d*m + 2*l*m - 5*m**3 + 71*m wrt l.\nAnswer: -38*d*m**3 + 205238*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249 - 5119 = 151*y - 581*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2575889 or -0.2?\nAnswer: -2575889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 6*b + 2. Let p(f) = 10*f**2 + 19*f + 5. Let a(q) = 7*j(q) - 2*p(q). Let u be a(0). Factor 5*r + 2*r + u*r**2 - r**2 + 11*r.\nAnswer: 3*r*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1\/11, -34.5, 2\/7, 0.04 in decreasing order.\nAnswer: 14, 2\/7, 0.04, -1\/11, -34.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**34*s)\/s*s\/((s**(1\/8)\/s)\/s))\/((s\/s**32)\/s**(-7\/6)))**(13\/6) assuming s is positive.\nAnswer: s**(21125\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -533 > -137028\/257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*n - 1 = 5, 0 = -3*j + n + 10. Suppose -j*k - 3*k = -325. Let y be k\/30 + (0 - 2). What is the biggest value in 1\/4, -1\/3, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = -4*k - 355. Let s be (k\/36 + 4)\/(5\/15). Let i = -7 + 7. Put s, i, -1 in descending order.\nAnswer: s, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -448135380 divided by -5819940?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13020 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2. Let w(l) = l**3 - 30*l**2 + 2. Suppose -394 = -12*z - 34. Let b be w(z). Let q(h) = 28*h**2 + 32*h**2 + 34*h**b. Determine q(r(k)).\nAnswer: 376*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 84*k**2 + 984*k + 222. Give v(-70).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17\/3110, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 + 2. Let j(x) = -x**2 - 8*x - 9. Let h be j(-6). Let i be a(h). Let t be 6\/10 - 36\/(-15). Solve t*w - w = -i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 51 = 69. Suppose -5 = -x + 2*r, -r = 4*x + r - c. Suppose 0 = -6*i + x*i - 62. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(672\/6) - (-4)\/(48\/153)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 11. Calculate the remainder when 87 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10102 (base 3) to base 5\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:16 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -89 - 385012*c**2 + 24 + 385000*c**2 as q*c**2 + m + y*c and give m.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.381435767 rounded to three dps?\nAnswer: -4.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 90 = 4*u + 195 + 12, -2*k + 48 = -2*u for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 - 2*m - 1. Let d be z(-1). Calculate the least common multiple of 2\/(-7)*(38 - 52) and (d\/1)\/(-1)*-7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3513 - 3515. Sort -13, -3, -7, 2, y in increasing order.\nAnswer: -13, -7, -3, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21756 = 3*d - 678. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 70*z + 71*z - 99*z.\nAnswer: -z**3 + 42*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -4, 2, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z - 19 + 5*z**2 + 2*z**2 + z**2 - 6*z**2 + 120 in the form l + p*z**2 + a*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 = 5*g - g, 0 = -g + 4. Is o - 2*21\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0323 - 0.0377. Let a be (72\/15 - 5)*(-15)\/84. Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 9*j + 6. What is a(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 4*i**4 + 4*i**4 + (0*i**2 + i**3 + 0*i**2)*(i**2 - 3*i**2 + 4*i**2) + 7*i**5 - 2*i**5 + 3*i**5.\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l + 3*l + l + 2*l - l**3 to the form t*l**2 + g + s*l**3 + x*l and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 + 5 + 0 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370640 and 185320?\nAnswer: 370640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8036.81 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -83*l**6\/3 - 2*l**3\/3 + 76*l**2 + 521. Find the second derivative of r(i) wrt i.\nAnswer: -3320*i**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z - 9*z + 4590. Suppose 5*b = 10, -b - 113 = -2*o + z. What are the prime factors of o?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12283 + -25143?\nAnswer: -37436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*((-3)\/1 - -2). Suppose -6 = -2*x + 3*s, -5*x + 0*s - 2*s = -15. Solve -x*t - 1 = -g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u + 13. Let w(i) = 2*i - 4. Let j(c) = v(c) + 2*w(c). What is j(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 14*k + 26. Let h be i(24). Suppose b - h = -2*u, -b - 2*b - 542 = -4*u. What is the remainder when u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 686*o**5 + 22968064*o**4 - 134547658*o**3 + 104076740*o**2 - 28664792*o + 2678960 = 0.\nAnswer: -33487, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.564071 litres to millilitres.\nAnswer: 564.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k = 12*k + 40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18974, -18597, -17970, -17093?\n\"Answer: 125*c**2 + 2*c - 19101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 3. Let k be f(2). Let l be 14\/63 - (0 + (-49588)\/k). Round l to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -21*y - 300. Let w(u) = 40*u + 602. What is -7*l(c) - 4*w(c)?\nAnswer: -13*c - 308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 9*a - 5. Determine j(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 83052.85mm?\nAnswer: 83.05285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 3 + -1 + -857 + 890.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 3*u - 231 = 0. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 (base 12) to base 5\nAnswer: -1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 - 2 = 0, 4 = 3*o - t. Suppose 0 = -o*r + 4*r - 16. Let n = -11 + r. Which is the second biggest value? (a) -1 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 196*j + 43. Determine o(1).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.8 + 10.8. Let u = k + 39.1. Which is the third smallest value? (a) -4 (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*c = 25, -c - 1 = j - 0*j. Solve -g + 10 = -j*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2773 (base 10) to base 5.\nAnswer: 42043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355*c = -353*c - 10. Solve -c = -b - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50434*c**2 - 25610*c**2 - 24824*c**2 + 1451*c**3.\nAnswer: 1451*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/28)\/((-222)\/3404).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8382 and 25146.\nAnswer: 25146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - -9) + -4 - 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*g - 4352140 = 15828860. Round g to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0, -1\/6, 1 in decreasing order.\nAnswer: 1, 0, -1\/6, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 74 + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14805 - -2?\nAnswer: 14807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -17*s**3 - 143*s**2 + 324*s + 2096. What is k(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.01 (c) -0.045 (d) 3 (e) -3 (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:37 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5)*a**(-6))**(-3\/7) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o\/(o*o**(-2\/13)*o)*o)\/((o**(-1\/5)*o*o)\/o*(o**(-13)*o)\/o) assuming o is positive.\nAnswer: o**(1063\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 5\/12*c**4 - 1\/12*c**5 - 5\/6*c**3 + 0 - 14*c**2 + 0*c. Find k, given that a(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8911 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 2. Let r(u) = -17*u**2 - 35*u - 4. Let n(f) = -r(f) + 2*x(f). Find the second derivative of n(q) wrt q.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 120*u - 267. Let o(y) = -1560*y + 3560. Let b(s) = -80*m(s) - 6*o(s). Let r(z) = -17*z**2. Determine b(r(l)).\nAnswer: 4080*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41820082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + 5 + sqrt(208) + (-5*(sqrt(208) + -5) - sqrt(208) - sqrt(208)))**2.\nAnswer: -1440*sqrt(13) + 8388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60934 is divided by 342.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m\/((m**(-10\/3)\/m)\/m)*m)))\/m**(-10)*m**(-1\/4)\/m*m**(-7\/3))**(-11) assuming m is positive.\nAnswer: m**(-649\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + f**2 - f + 25. Determine v(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 2.238, 0.4, 0.5, -77\/54, 0?\nAnswer: -77\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**7\/1575 - 29*y**6\/450 - 781*y**5\/450 + 29*y**4\/3 - 20*y**3 + 1120*y**2. Determine w, given that c(w) = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 5*l**4\/6 - 14*l**3\/3 + 8*l**2 - 129*l. Solve q(h) = 0.\nAnswer: 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1241968 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 119*y**2 + 14161*y.\nAnswer: y*(y + 238)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5253 + -5261.006. Let t = 0.14 - -7.86. Let q = d + t. What is q rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1224, 9890, 33460, 79386, 155120, 268114?\n\"Answer: 1242*o**3 - 28*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let w(m) = -m. Let s(f) = 2*f. Let b(g) = -s(g) - 3*w(g). Suppose 3*t = -3*t - 30. Determine t*z(j) - 2*b(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.471181cm in millimeters?\nAnswer: 54.71181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 + 6170147*h**3 + 2306704*h wrt h.\nAnswer: -12*h**2 + 37020882*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44011 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3517.\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (2 - -28) + 0. Suppose 2*b + 2 = n. Solve 3*k = -5*s + 4*k, -2*s + 3*k + b = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s**2 + s. What is o(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = 26*a - 56*a + 12*t + 68, -10 = -2*a - 2*t for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p - 610 + 2062 = 0. Is 44 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47255.\nAnswer: 5, 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m - n = -46, 3*m - 26 = -5*n. Let r = m - -1. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -380 from 0.2.\nAnswer: 380.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**3 + 2*f**2 + 2*f + 1. Let o be r(-1). Let s be (-2)\/o + 2\/3. Let c be -1*2 + s + 11. Solve -d = d - c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-11 + 3) - ((-29 - -14) + 48 - -13)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 2117?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.44571*5\nAnswer: 2.22855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose 0 = -3*h - 0*h - j + 7, r = -j + 4. Which is the biggest value? (a) 2 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 4*r + 5*r)*(5 - 2*r**2 - 5) - 6*r**3 - 6*r**3 + 4*r**3 - 2*r**3 + 4*r**3 - 3*r**3 + 1 - 1 - r**3 to d*r + a + q*r**2 + z*r**3 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d - 70*d + 72*d - 1300 = 0 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -7*i**5\/2 - 6715*i**4\/2 + 12509*i**3 - 9634*i**2 - 3852*i = 0.\nAnswer: -963, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 0*r + 5 + 2*r**2 + 2*r - 3 - 6*r. Suppose 10*w - 371 = -331. Let g be x(w). Which is smaller: g or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 208027752, 208027751, 208027750?\n\"Answer: -c + 208027753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p - 9*p + 10*p + (-2 + 2 - 3)*(p + 4 - 4) + (-102512*p + 72 - 602 + 102510*p)*(-2 + 0 + 0) as z*p + d and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210 + -209.252. Let c = -0.28 - i. Round c to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177895345 is divided by 3511?\nAnswer: 3508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -16. Let t(u) = -4*u - 14. Let w(c) = 3*c + 9. Let q(o) = -5*t(o) - 7*w(o). Calculate the remainder when x is divided by q(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 152 - a5?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64466 is divided by 3786?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1184 and 64750.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*o**3*t*x**2 + 5*o**3*t - 3*o**3 + 2*o*x**2 + 12*x**2 wrt t.\nAnswer: 7*o**3*x**2 + 5*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211 + -109. Is 34 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*u + 4 = -2*x, -4*x = -u - 20. Calculate the least common multiple of 75 and x*(-3 - -6) + 6.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x - t - 612, -5*x - 4*t + 1020 = 0. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 6*n - 6*n - 3*n as z*n + o and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*s - 7 = 0, 3*v - 15 = 13*s - 10*s. Suppose 5*m + 5 = -0. Let b(q) = 7*q**2. What is the least common multiple of b(m) and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.5. Let v = 5 + -5.4. Let g = 90500 - 90500.18. What is the nearest to g in -0.5, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 33. Let m = -10 - t. What is the first derivative of 4 - 3 - m*w**4 + 5*w**4 + 2 wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -547.9 - -551.9. Sort 1\/2, o, -2075 in descending order.\nAnswer: o, 1\/2, -2075","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8374 - 4362. What are the prime factors of z?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 2. Suppose 3*o = 8*o + 5, -46 = 3*b + o. Let f be b - -20 - (-1 - -7). Let j(l) = 1. What is f*r(y) + 4*j(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 20*j - 4260. Let s = -208 - j. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:46 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1094075 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 12. Let l be z(-12). List the prime factors of (-1)\/(4\/l) - 1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3737858 + 123751864. Let d = 120014009.30000148 - v. Let p = d - 3.3. Round p to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*u + 95, -98*j = u - 102*j - 14. Solve 5*d + 22 = -3*m, 19*m = -5*d + 17*m - u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-18) + (-11 - (-626476)\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10*s*s)\/(s\/(s*s\/s**(-5)*s)) assuming s is positive.\nAnswer: s**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*c - 20*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/28 - 0)\/(13\/8). What is the second smallest value in -5, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/315*1\/(-2)*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63419 + 216400. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1251 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2098724 (base 14) in base 9?\nAnswer: -32024423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 6*c + 7. Let k be h(-8). Let u = -12 - k. Let s = 7 + u. Solve -s*j - 2*l = -5*j + 9, 4*j = -3*l - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -49*o**3 + 4*o**2 + 6*o. Let p(w) = 98*w**3 - 7*w**2 - 11*w - 2. Determine 6*p(a) + 11*z(a).\nAnswer: 49*a**3 + 2*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1890018 is divided by 13125.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 2*o - 14*o**2. Let f(l) be the third derivative of 0 + 0*l + 0*l**3 - 67*l**2 - 1\/12*l**4. Give w(f(p)).\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*j = -18, -2*l + 7 = 4*j - 9. Suppose l*m - 7 = 7. Calculate the remainder when 20 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -23. Suppose 134*k - 25 = 129*k. Solve -k*i = 5*z, 4*z = x*i - 6 - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 - n**3\/2 + 2*n**2 + 3*n. Let c be d(-5). List the prime factors of (-2 - c)\/(5 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaawaallaalavaaaaaw. What is prob of picking 2 l?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 151741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 5*r**2 - 9*r - 13. List the prime factors of v(-7).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.04 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 291.0229ns?\nAnswer: 0.0002910229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -0.5, -4, 2, -16\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*w, 4*q - 4 = 5*w + 1. Sort -1, q, 1\/7, 3 in decreasing order.\nAnswer: 3, 1\/7, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9521, 4.\nAnswer: -9521, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5*(-14 - -19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3 - 4 + 0. Let v(l) = -1. Let m(g) = 5*k(g) - 4*v(g). Let i(c) = -2*c + 2. Let u(h) = i(h) + 3*m(h). What is the first derivative of u(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - x = 3*x - 316, -326 = 3*u - 2*x. What is the tens digit of (-36)\/9 + (3 - u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 903583109 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/25*(-420)\/112?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6296 is divided by 775.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 39 + 21 + 2 + 4 - 4 + (-2 - 1 + 5)*(-1 + 4 - 5) - 2 + 0 + 3 + 1 + 0 + 0)*(s**5 + s**3 - s**3) + (-1 + 4 - 1)*(s**3 - s**5 - s**3).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -28. Calculate the highest common factor of y and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -5*z + 5*d, -3*z = 3*d + 2*d - 50. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 230796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 37587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 3, 0.3, -1, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-4320)\/(-160)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*l)*(2 + 0 - 1) + (2 - 5 + 1)*(2*l + 4*l - 4*l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 7:18 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-689)\/(-117) - 6) + (-2)\/(-18). Let m + 8\/5*r - 2\/5*r**2 = 0. What is r?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u + 15 = 0. Suppose u*j - 7*j + 65 = -5*f, 4*j = 4*f + 64. Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 263, 2330, 5801, 10682, 16979, 24698, 33845, 44426?\n\"Answer: y**3 + 696*y**2 - 28*y - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z\/z**(-2\/79))*(z\/(z\/z**(-17\/6))*z*z)\/z assuming z is positive.\nAnswer: z**(-1355\/474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006249 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c - 4 = -31*c - 118 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 - 147. Let k be 12\/(-9)*12\/(-8). Suppose -6 = l*u, 3*u + 1 = -0*t - k*t. Solve -4*c + 0*a - 3*a = -t, -10 = -5*c - 5*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -431291, -862586, -1293881, -1725176, -2156471?\n\"Answer: -431295*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1359 - 742 = -35*l - 291*l - 3621 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - m - 620, 44*y - 47*y + 372 = 4*m. Calculate the remainder when y is divided by 48.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-5)\/v*v*v*v\/v**(-5)*(v\/v**(2\/5))\/v**0 assuming v is positive.\nAnswer: v**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 17692. Let i(q) = -2*q**2. Calculate i(a(r)).\nAnswer: -8*r**2 - 141536*r - 626013728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 4)\/(-5)*-3 + 51\/18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*i**2 - 1690308*i + 91194766 wrt i.\nAnswer: 14*i - 1690308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/4)*n*n))\/(n**17*n)*((n*n\/(n**(2\/37)*n))\/n)\/(n\/(n*n**(-2\/15)\/n)) assuming n is positive.\nAnswer: n**(-45371\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1a?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*a + 42 = 0, 2*r + 6*a - 2*a = 10. Let f = -327 + 567. Suppose -2*j - 58 = -f. What is the highest common divisor of r and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 + 80*x**2 - 3*x + 68. Let f be k(20). Let w(n) = -11*n + 75. Determine w(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 19*x**2 - 33*x + 17. Let b be d(17). Let i be ((-4)\/(-9))\/(b\/(-3)). Let f = -61\/255 - i. Are -1 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31700524 > 31700525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4\/4 + 88332*g**3 + 6935534199*g**2\/2 + 45378044282802*g - 181526048552937\/4 = 0?\nAnswer: -39259, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9014489047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38979 + 39077. Solve -37*y = -51*y - v for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + j + 2. Let x(g) = 268*g + 1086. Let s be x(-4). Suppose -19 = -3*o - 1. Suppose o*q = 10 + s. What is r(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40049 is divided by 178.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 31\/5. Sort -3\/25, -5, k in descending order.\nAnswer: -3\/25, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c - 13. Let r(i) = 4*i + 12. Let h(p) = -7*r(p) - 6*t(p). Calculate h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqvx when four letters picked without replacement from ivvxvavaqx.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 12 = 2*z. Let l be 9\/(-81)*z\/2. Which is the smallest value? (a) 0 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0.5. Let o = t - 0.1. Which is the closest to -1? (a) -4 (b) o (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/5 + 103156*b**2\/5 - 618882*b\/5 + 928296\/5 = 0.\nAnswer: 3, 51572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1 + 4 = 0. Let z(l) = -5*l**3 - 4*l**2 - 5*l. Let g(u) = -6*u**3 - 3*u**2 - 4*u. Let j(f) = 5*g(f) - 4*z(f). What is the units digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**5 - 930*i**4 - 19280*i**3 - 41550*i**2 + 322875*i = 0.\nAnswer: -15, -7, 0, 3, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + b + 11, -2 = 5*b + 3. Let x(k) = 3*k**l - 1 - 2*k**3 - 7*k**2 + 3*k**3 - 4*k. Let y be x(5). Solve -y*r + 7 = -9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -27. Find the second derivative of -z*a**4 + 7*a - 7*a**4 - a wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30096.0426 rounded to the nearest ten?\nAnswer: -30100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 25*d**2 - 83*d + 27. Give g(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*4*(-8 + -24). Let f = -55 - u. Suppose 10*c - f - 11 = 0. Which is smaller: c or 12\/17?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 5, w: 4, e: 4, n: 2}. What is prob of sequence wnn?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1451 + 3?\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 13*r**5\/5 + r**4 + r + 76. Differentiate s(l) wrt l.\nAnswer: 52*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/19 (b) 1 (c) 414 (d) -219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12462 = 36*z - 13110 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -0.2, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.95 - -21.6. What is the closest to 0.1 in u, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-9 - (0 - 25)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2067.2 - -2067. What is the closest to -0.1 in w, -44, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-12)*(-9)\/6. Sort -0.4, 3, f in descending order.\nAnswer: 3, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/87 and 189\/60*(-3 + 2 + 5)?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1. Let p(w) = 3*w + 1. Calculate -2*n(y) + p(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/k*k*k*(k*k*k*k**(1\/13)*k*k)\/k)\/(k**(-3\/8))**(1\/9) assuming k is positive.\nAnswer: k**(1493\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 2. Let t(q) = -9*q + 8585*q**3 - 8587*q**3 - 6*q**2 + 2*q**2 - 14. Let y be t(-2). Give m(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + q - 35 = 13*y, -q = -5*y + 53. Solve -197 + 252 = y*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 3.7735?\nAnswer: 18.8675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1749045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:33 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 271 - 265. Which is the third biggest value? (a) 0.3 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and 11\/57 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22610167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d = -18*d - 912. Suppose 2160 = d*s - 14*s. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 0.0477.\nAnswer: 5.0477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*n = -5, 4*n = 4*q + n + 24. Let v be (-6)\/q + (-190)\/5. What are the prime factors of (-1720)\/(-36) + (-8)\/v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.289531l?\nAnswer: 9289.531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3004+194\nAnswer: -2810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745 a factor of 797419630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - y = -4, k - 29 = -2*k + 4*y. Solve -4*q + 5*d = k, 0 = -5*q + 4*d - 4 - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 7*z - 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52671.14696 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 17827*i**2\/4 + 19842550*i - 178944129.\nAnswer: (i - 9)*(i + 8918)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2383 or -3469?\nAnswer: -2383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 37. Let t = 31 - -3. Let f = t - l. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57547, -59256, -60965, -62674, -64383, -66092?\nAnswer: -67801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11831695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:53 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4 - -8) + 1)\/(10\/8). Let u(p) = 4*p**2 + 12*p - 16. Let k be u(j). What is the greatest common factor of k and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (715\/15)\/((-1)\/(-3)*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**2. Let x(s) be the third derivative of 0 - 19*s**2 + 0*s + 0*s**3 - 1\/8*s**4. Calculate o(x(k)).\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 - 2*q**2 + 3*q - 1. Let h(d) = d**3 + 19*d**2 - d - 7. Let f(t) = -t**3 - 9*t**2 + 4. Let p(w) = -2*f(w) - h(w). What is p(g) - v(g)?\nAnswer: -2*g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 20 + 2)*(3*s**4 + 3*s**3 - 3*s**3) as v*s**3 + h*s**2 + i*s + f + d*s**4 and give d.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.314885 months?\nAnswer: 0.0010957375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/((a*a\/a**32)\/a)*a*a\/(a**(-2\/17)*a) assuming a is positive.\nAnswer: a**(580\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 8*j**3 + 5*j**3 + 0*j**3 + 211 in the form g*j**3 + o*j**2 + y + z*j and give y.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**3 + 5*x**3 + x**3)*(-141*x + 66*x - 30*x) to the form i + y*x**3 + f*x**2 + v*x + j*x**4 and give j.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.9999964 - 60. Round l to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {e: 1, s: 3, f: 4, a: 1, d: 3, n: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 1. Let u(y) be the second derivative of y**4\/4 - y**3\/3 - y**2\/2 - 32*y + 2. What is u(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194378616.\nAnswer: 2, 3, 99989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4*3)\/2 + (36 - 40). Suppose -2*p + 8 = -p + v*y, 21 = 2*p - y. Which is the smallest value? (a) p (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a + 40 = 7*h + 32*a, -4*h + 4*a - 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5445799 to the power of 1\/2, to the nearest integer?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.441 + -0.031. Let c = x + 9.59. What is the nearest to c in -1, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/sqrt(4))\/sqrt(6) + -4 + sqrt(12))**2 + -3)*-4.\nAnswer: -160 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a**2 - 353*a + 490. Let c be d(-60). Let o = -10 + 20. Calculate the greatest common divisor of c and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:51 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.228 * -0.1.\nAnswer: 0.1228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -534 (c) 12.701\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 + 645518\/(-10948))*17.\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49\/2 + -187\/8. Find the common denominator of -79\/876 and u.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/7 + 10*t**4\/7 - 9*t**3\/7 - 214*t**2\/7 - 508*t\/7 - 360\/7 = 0 for t.\nAnswer: -9, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 199*t + 3. Let d be i(6). Calculate the common denominator of d\/(-594) + (-4)\/(-22) and 91\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-2 - -1) - 0. Suppose -3*f = -2*f - 0*f. Let u be f\/(-2)*(-15)\/30. Solve u*p - n = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13289735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/24 + 1 + (46280\/34725)\/(-4). Is k equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*g - 3*g - 3087 + 3084)*(-1 + 1 - 1)*(-1 + 7 - 4) as s*g + p and give s.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63099 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -24 + 19 + 27 + (-2 - -2). Let c(p) be the third derivative of 1\/12*p**3 + 3\/10*p**5 + 0 + o*p**2 + 0*p - 1\/4*p**4. Factor c(b).\nAnswer: (6*b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*z - z + 25*z)*(0 - 3 - 7*z - 3) as b*z + d*z**2 + i and give d.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7035278339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + 297. Let h = -19 + v. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011055638 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 7*j - 5. Suppose -6*b = -b - 10. Let p(w) = 4*w**2 - w**3 + w**b + 0*w**3 + w. Let y be p(5). What is o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50225165909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(1\/5)\/p)\/p)**(7\/9)*(p**(-1\/3)\/p)**(-1\/14))\/((p\/(p\/p**0)*p**(-4\/3))\/(p**(-2\/7)*p**(2\/5))) assuming p is positive.\nAnswer: p**(58\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 26*y**2 - 5. Let l be ((-10)\/5 + -4)*-2. Let x be (-1)\/(-4) - ((-345)\/l - -3). Let d be a(x). Sort d, 3, -9 in ascending order.\nAnswer: -9, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/5758 and -99\/16.\nAnswer: 46064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41453?\nAnswer: 41453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -16. Let w be 40\/6 + 6\/q. Let y be (0 - (-9)\/w)*88. What is the greatest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -2 + (0 - -15). Suppose g - 9 = 4*g. Let z = f + g. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -74. Suppose -14*g = -10*g + 136. Let u = d + g. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6869*s - 3728*s + 1779*s - 14876*s - 4709*s in the form y*s + l and give y.\nAnswer: -28403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r + 33*r + 30*r + (1 - 1 - r)*(3 - 4 - 1))*(-2 + 0 + 1).\nAnswer: -77*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61201*o**5 + 90634*o.\nAnswer: -1224020*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 1, b: 2, z: 2}. Give prob of picking 1 i and 2 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100120 (base 3) to base 5\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7 = -13. What is the third biggest value in 2\/3, j, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601 = -4*u + 351. What is the common denominator of -44 and u\/35*(-6)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:02 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 5628 = 7*l. Let d = l - 252. Calculate the remainder when 27 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443414 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 + 22*y - 4. Let q be u(-6). Factor 2*r**3 - 2*r + 4 - 3*r**4 - 3*r**4 + 8*r**4 - q*r**2 + 2*r**2.\nAnswer: 2*(r - 1)**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 5. Let u = 6 - g. Solve -8 = -5*p + u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138 + -316\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -671*x + 154*x - 1 + 88*x + 133*x + 3 to the form m + b*x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -4\/3 (b) 1\/28 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-7) - (-15)\/(-35). Let a(s) = -s**3 + 4*s**2 + 2. Let y be a(n). Let q(g) = g - 2. Let k be q(-2). Put k, -5, y, 3 in ascending order.\nAnswer: -5, k, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 4:30 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.432944 rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -318544524?\nAnswer: -318544526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19468 - 19468 + 13710*s + (s + s + 0*s)*(2 - 1 + 1) + 0*s + 0*s - 2*s.\nAnswer: 13712*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 5*d**2 - 2*d + 5. Let z(y) = y**3 + 2*y**2 - 6*y + 7. Let q be z(2). Suppose 8*c + q + 21 = 0. What is s(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 1, q: 4, m: 1, t: 4, v: 1}. What is prob of sequence qeq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, y: 11}. Give prob of sequence zzzz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-937 - 184 + 2197)*(-2*r**2 + 0*r**2 - 3*r**2) as b + l*r + c*r**2 and give c.\nAnswer: -5380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v + 7 + 2*v + 2*v. Suppose 0 = 38*u + 26 + 69 + 95. Let r be a(u). Solve 3*q = 7*q - r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1061071166?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {w: 1, f: 1, r: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/3)*i**2*i assuming i is positive.\nAnswer: i**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(396))*5*-4 + -3*(sqrt(396) + sqrt(396) + 2 + -3))**2 + -2.\nAnswer: 5304*sqrt(11) + 267983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2492075, 9968327, 22428753, 39873353, 62302127?\n\"Answer: 2492087*m**2 - 9*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 2)*(-3 + 2*g + 3) - 4*g - 3*g + 5*g)*(1 + 0 - 3) in the form a + r*g and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2419145 + 2419145 - 4*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 4 + 4)*(-2 - 4 + 3)*(-6094 + 153 - 147).\nAnswer: -36528*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62\/15? (a) 14 (b) 0.11 (c) -1\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194044 divided by 48511?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-5) - (-52)\/5. Suppose 5*p - 3*a - 4 = f, p + 2*a = 3. Solve -n + 5 = p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p**2 + 4*p - 5. Suppose -7*l - 5*w - 30 = -2*l, 0 = 4*w + 4. Let u(n) = -12*n**2 + 5*n - 6. Calculate l*u(b) + 6*q(b).\nAnswer: -6*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f**3 - 123779919 + 123779919.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**3 - 140*u**2 - 38*u + 275. What is i(-23)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = o + o - 31 + 11, -5*o + 35 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -28*t**5 + 244*t**4 - 124*t**3 - 308*t**2 + 152*t + 64 = 0.\nAnswer: -1, -2\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276 and 88044.\nAnswer: 88044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/954 and -41\/181397376?\nAnswer: 181397376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 5 + 4 + 4 - 10*t. List the prime factors of u(-7).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = 5*y. Solve w + 0 = y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {l: 1, g: 6, j: 2, o: 1, h: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w - 25. Suppose 2*s - w = s. Suppose -s*y + 2 = -8. Sort -1, 1, y.\nAnswer: -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*t - 32, t + 8 = -3*t. Let n be c\/(-6)*(-234)\/52. Solve n + 3 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Let u(k) = 13*k + 7. Let g be u(7). Suppose g = 3*r + m. Solve -11 = -d - 0*v - 4*v, -4*v + r = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-2))\/(10\/4). Let i = -2.9487 + 3.0487. Suppose 5 = -h + 2*h. Which is the nearest to i? (a) h (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppoptuuop. Give prob of sequence upo.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 7*y - 34, -187 = -4*b + 5*b - 6*b - 5*y - 77 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -188, -1.8, 1, 1\/3, -2\/31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5514339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 - -2.3. Let t = -15 - -28. Let f = 15 - t. Sort w, 0.1, f in descending order.\nAnswer: f, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -56. Let o be ((-68)\/(-8) - 3)*r. Suppose 0 = -3*g + o - 17. What is g rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/(-18) - 22\/99) + 4. Suppose -h = -q - 9, 3*h - 5*q = h + 30. Suppose -2 = 2*w - 8. Put h, w, n, -7 in increasing order.\nAnswer: -7, n, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 7. Calculate the highest common divisor of c and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-134)\/4)\/((-26)\/52) and 11?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 18*q**2 - 4*q**2)*(5*q**2 - 29*q**2 + 9*q**2).\nAnswer: -195*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u**2 - 5*u - 2. Let x be f(1). Solve -3*m - 19*l - 4 = -23*l, 8 = 4*m - x*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 102?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70823*c*r**3 - 5*c*r + 31030068*c - 15*r**3 wrt r.\nAnswer: -212469*c*r**2 - 5*c - 45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/4 + 5*w**2\/2 - w\/4 - 30 = 0. What is w?\nAnswer: -3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/6, -2\/9, 3.1, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/12 - 2\/(-8). Suppose 5*d = z*u + 396, -4*d + 2*u = -2*d - 158. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-147)*7\/(-67).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45778, 45758, 45736, 45712?\n\"Answer: -i**2 - 17*i + 45796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 6 - 22. Suppose -35 = -5*i + 5*l, 4*l - 80 = d*i - 9*i. Calculate the remainder when i is divided by 5\/(28\/(-8) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*c - 63*c - 13*c + (5*c - 3*c - 3*c)*(2 - 5 + 5).\nAnswer: -86*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11 = -3*f + 33, -5*y = 5*f - 30. What is the third biggest value in y, -2\/5, 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15873*l - 34188. Let j(z) = -2*z + 4. Let v(m) = 17094*j(m) + 2*y(m). Let c(p) = -3*p. Calculate c(v(b)).\nAnswer: 7326*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7719985 and 3055.\nAnswer: 7719985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**4\/6 - 8*s**2. Let h(v) = 6*v**2 + 4*v. Let u(g) = -5*g**2 - 3*g. Let f(r) = -3*h(r) - 4*u(r). What is t(f(l))?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 274918590671*u + 274918590671*u.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18779 - 18780. What is the third smallest value in -5, -13, 1\/2, -110, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 88 = 5*s. Suppose s = -2*l - 16. Let o = -27 - l. Solve 0 = -4*b + h - 4*h - 14, -2*b - 2 = o*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 - (0 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 3*y + y**4 - 2*y**4 - 3*y**4 wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j**3 + 2*j**2 + 4. Let d(v) = -v**3 + v**2 + 1. Suppose -24*b = -12*b + 12. What is b*a(n) + 2*d(n)?\nAnswer: 4*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -2\/15*f**6 + 1\/2*f**4 - 88*f**2 + 0*f + 0 - 8\/105*f**7 + 1\/84*f**8 - 12*f**3 + 22\/15*f**5. Determine p so that y(p) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*v - 1498 = -5*r - 75*v, 2*v = 4*r - 1194. Is r != 300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p + 25*f - 20*f = 5*p + 432, 3 = -4*p - f + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x - 5*c + 32, 2*x - 6 = -3*c. Let d = 5 + x. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -39*k**2. Suppose -3*y + 5*o - 27 = -70, 0 = 3*y + 5*o - 23. Let r(n) = -7*n - 3*n + 0*n + y*n. What is r(h(j))?\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272*b - 272*b - 34*b**2)*(0 - b + 0).\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*n - 16*n - 405. Suppose -3*r + l + 37 = 0, -4*r - 4*l + n = l. What is the second derivative of 15*k + 257 + r*k**5 - 257 wrt k?\nAnswer: 280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -31*h - h. Let q(a) = a**3 + 5*a**2 - 15*a - 51. Let g be q(h). What is the greatest common factor of g and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 182, 574, 1182, 2012, 3070?\n\"Answer: n**3 + 102*n**2 + 79*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57693369 rounded to the nearest 10000?\nAnswer: 57690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b - 1. Let n be r(1). Suppose -4*h = -n*z - 11, -3*h - 13 = 3*z + h. Let o = z - -4. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106 - 82) + (-674)\/28.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169277368 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3 - 50*b**2 + 92*b = 0.\nAnswer: 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1036088*b**2*h**2 + 49882*b*h**2 + 4*h**2 wrt b?\nAnswer: -2072176*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 16) to base 13.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 3 - 3 + (-32*y + 32*y + 3*y**2)*(52 - 52 + y) - 2*y - y**3 + 2*y to o*y**2 + v*y**3 + r*y + z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 35129096.7213 + -2\nAnswer: 35129094.7213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 43 - ((-95)\/19 - -3). Solve -11*c - 4*r + g = -16*c, r - 15 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:59 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 32 = -4*j + 12, 0 = -3*j + 5*f + 41. Calculate the greatest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y - r, y = -4*y + 2*r + 25. Suppose 0 = 5*c + 4*s - 40, 5*c + 5*s - 35 = -0*c. Let v = -12 + c. Solve v = -l - y*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103905*l**2*w**4 + 5*l**2 + 18841*l + 2*w**4 + 2 with respect to w.\nAnswer: -415620*l**2*w**3 + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**4\/4 + 5*p**3\/3 - 3*p**2\/2 - 4*p - 1186. Calculate a(6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402539611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 24*x - 10*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -17. Suppose -2*l = -0*l - q. Solve 0*o - 2*x = 2*o + 12, x - l = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5638523?\nAnswer: 11, 512593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7766\/9 or -864?\nAnswer: -7766\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/180*2)\/(1\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5568417 is divided by 398?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2480, -5236, -7992, -10748?\nAnswer: -13504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 4\/3*f**3 - 21\/2*f**2 + 0 + 36*f. Calculate the remainder when 138 is divided by g(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6515.5 minus -5755605.11?\nAnswer: 5762120.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 47\/3 (b) 5\/4 (c) -2\/51 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 93\/33) + 168\/44. Suppose -42 = -5*z - f*a + 243, -2*a + 57 = z. Let v = -3 + z. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*20\/32*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - t = -24, -5*t + 10*t = 5*x. Suppose -z - 20 = x*z. Let g(k) = 3*k - 2. Let h(r) = r - 1. Let a(s) = -g(s) + 4*h(s). What is a(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.5 - -51. Let w = 69 - g. Let q = w + -43. Round q to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20109*r**4 + r + 1755 wrt r?\nAnswer: 241308*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 9*o**2 + 6*o - 14. Let s be t(-10). Is -4*(-2)\/16*s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -182217 (base 9) to base 7\nAnswer: -650644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scu when three letters picked without replacement from ubsuqsscuuss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 3, 4.\nAnswer: -3, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 45941956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 3*i = -12, c = -5*i + 20. Suppose k - 3*v + 5*v + 4 = c, 5*v + 7 = -4*k. Solve n + 3 = k*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7967 + -7972. Sort c, 12, 4, -2, -2\/45 in descending order.\nAnswer: 12, 4, -2\/45, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -2, 2\/5, -2\/477 in ascending order.\nAnswer: -3, -2, -2\/477, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-123)\/(-9)*4756. Suppose -o - o = 5*f - 195008, o + s = 5*f. What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17a673 (base 12) in base 6?\nAnswer: 12500223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 129, 204, 287, 378?\n\"Answer: 4*y**2 + 55*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 119639 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 + -191.91. Let j be (-4)\/7 - 2\/(-7). Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2156 and 29248492.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 365 by -73.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 4. Let b(d) = -2 - 4 + 5 + 2. Suppose -18*n - 18 = -0. What is n*g(f) + 6*b(f)?\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103352.\nAnswer: 2, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*(-v - 2*v + 5*v - 3*v - 2*v + 2*v + (1 - 4 + 1)*(v + 2*v - 4*v))*(2*v + v**3 - 2*v).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2)\/2 + 4. Let f be (3\/(-6))\/((-2)\/4). Put -5, j, f in descending order.\nAnswer: j, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5 + 7. Let i(u) = -u**3 + 6*u**2 - 3*u + 2. Let x be i(q). Calculate the greatest common factor of 44 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/308800 and 113\/216160.\nAnswer: 2161600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 206689872341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 871654669363\nAnswer: 871654669365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from gnzanuzr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 47 = 5*s. Solve 2*v - 4*v - 35 = -5*h, -s*v - 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 + 2*p**2 - 2*p**2)*(770 - 770 + 6*p).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2 + (2 - 1 - 3)*(3 - 3 - 1))*(0*y + 0*y + 2*y**2) + (y - y - 2*y)*(2*y - y - 2*y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/((-7568)\/660))\/10.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -12. Let p = 12.999 - a. What is p rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.20856281102285 and 0.4?\nAnswer: 1.60856281102285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 148, 296, 586, 1066, 1784?\nAnswer: 2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1346, -2650, -3950, -5246?\nAnswer: -6538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -325654538 < -325654539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196117969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phb when three letters picked without replacement from gdhppiibdip.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/27 (b) -59 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1541238064\/7 or 220176865?\nAnswer: 220176865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -330*b + 23. Let z(t) = -1650*t + 112. Let r(i) = 11*g(i) - 2*z(i). Is r(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054832 plus 90452?\nAnswer: -1964380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -2\/45, 2, -2\/5 in ascending order.\nAnswer: -2\/5, -2\/45, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-8))\/((-2)\/8). Let x be (32\/24)\/(u\/27). Let o = -15 - x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/40 + c**4\/24 - 73*c**3\/6 - 131*c. Let l(t) be the second derivative of u(t). Give l(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 391, 3998, 7605, 11212, 14819, 18426?\n\"Answer: 3607*t - 3216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.78 in 1, -5, 3, 0.1, 6148?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -21. Let u(b) = -b**3 + 6*b**2 - b + 3. Let p be u(t). Let q(w) = -2*w**2 - 4*w + 1. What is q(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 p when three letters picked without replacement from pugggpuuuuugpgugp?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51788 divided by 11?\nAnswer: 4708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = -1. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 51*p\/4 + 115\/2.\nAnswer: (p - 46)*(p - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -550444 (base 11) to base 15\nAnswer: -125697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 300, 13, -2\/3, -33, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -574, -1287, -2254, -3457, -4878, -6499?\nAnswer: -8302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.289034458 + 0.458.\nAnswer: 0.168965542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**4\/32 - 37*f**3\/16 + 405*f**2\/8 + 1492*f. Factor u(n).\nAnswer: 3*(n - 27)*(n - 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -146, -204, -244, -260, -246, -196?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 - 82. Suppose 0 = 7*i - 2*i - d - z, -4*i + d + 60 = 0. What is the greatest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 701630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 317 + 103. Let h be 1 + 4\/1 - 2. Suppose y + s + 51 = h*y, 0 = 3*y + 5*s - i. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-65)\/(-1 - 154\/(-168)) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28650 or 28648?\nAnswer: 28648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188 + 189. Let a be (1\/6)\/((-12)\/1134). Let l = -16 - a. What is the nearest to l in w, 0.5, -5\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 33*i - 16*i - 12*i + 3, -8*u = -3*i + 323 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59158043?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 67311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**3 - 8*l**2 + 11*l + 1. What are the prime factors of m(4)?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.93 - 4. Let l(n) = -n**3 + 90*n**2 - n + 94. Let u be l(90). What is the nearest to 1\/4 in i, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -33. Let t be p\/27*(0 + 15). Suppose 3*k - 27 = -3*y, 0*y + 5*k + 15 = t*y. Solve 0*l = -2*l + y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/10)\/(3\/372))\/((-12128)\/90960)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 9*c**2 + 15*c - 95. Determine r(-12).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -176854, -707393, -1591624, -2829547, -4421162, -6366469?\n\"Answer: -176846*l**2 - l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2879.\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14224 + -212?\nAnswer: -14436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400450.\nAnswer: 2, 5, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**19*y*y)\/y*y*y*y*y**17*((y*y**(-4\/3))\/y*y)**(3\/26))**7 assuming y is positive.\nAnswer: y**(7455\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q - 10*q + 23*q + 7*q**3 wrt q.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38655 - -38659. What is the nearest to v in -0.5, -0.1, 2\/89?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 5*t + 6. Let w(g) = -g**2 + 6*g - 7. Let s(y) = 2*d(y) + 3*w(y). Calculate the remainder when 7 is divided by s(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 22 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**4\/2 - 4*h**3\/3 - h**2 + 10. Let v be b(4). Suppose 3*u - v = 76. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/1284 - -26639\/5136. What is the common denominator of h and 19\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/18)\/(49\/196). What is the nearest to 1 in p, -3, -0.4, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {j: 1, f: 3, k: 1, b: 1, h: 1, o: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03 and -5583741646.\nAnswer: -5583741646.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 39, 92, 157, 228?\n\"Answer: -y**3 + 15*y**2 - 3*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 + 16615380*m\/7 + 34508856568050\/7.\nAnswer: 2*(m + 4153845)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 3178*w - 3176.\nAnswer: -2*(w - 1588)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, 0.37, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -218*v + 2841. Calculate c(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5247 and 6781698?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (601832\/8)\/(2 + -1). Suppose -13*w + y = -2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0.07, -0.5, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*o + 97 - 36 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/7 + 5581724*v\/7 + 3894455351522\/7 = 0.\nAnswer: -1395431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14055.\nAnswer: 3, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 2.3?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**28\/y))*y)**7 assuming y is positive.\nAnswer: y**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/q**(-21\/2)*q*(q\/(q\/q**(2\/15))*q*q)\/q*q**(-3\/7)*(q**23*q)\/q)**(5\/3) assuming q is positive.\nAnswer: q**(8023\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -5, -2 in ascending order.\nAnswer: -5, -3, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 3122733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g - 31*g = -36. Let w(x) = -7*x + 5. Let a(z) = -18*z + 12. Give g*w(s) - 5*a(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 17*j + 937. Determine t(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + u - 5*u**2 + (0*u**2 + 0*u**2 + u**2)*((3 + 1 - 2)*(0 + 4 - 3) - 2 + 7 - 1).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*v**4 - 122*v - 125*v + v**3 + 249*v)*(0 + 0 + v).\nAnswer: 90*v**5 + v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 14*h + 9. Determine y(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 148 = -3*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516829 not equal to -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Suppose 4*b - 3*l + 18399992 = -l, -v*l = 4*b + 18400012. What is b rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -2\/3 (b) -1\/48 (c) 0.02 (d) 51 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2554 + -2554.00001777. Round v to seven decimal places.\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 + -0.21405\nAnswer: -1.31405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*i - 30 + 15, h - 3 = 4*i. Let c(o) = o**2 - 2*o + 2. Let b(v) = -4*v + 1 - 2 + 2*v**2 + 5. Give h*b(a) - 7*c(a).\nAnswer: -a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -284813710.4 to the nearest one million.\nAnswer: -285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3, 7, -2496 in descending order.\nAnswer: 7, 5, 3, 0, -2496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/9)*a)\/a**10)\/(a\/(a**4\/a))**(-2\/11) assuming a is positive.\nAnswer: a**(-938\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -241. Let s = 113.3 + q. Let i = s + 15.69911. What is i rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 136684541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4021016, -4021017, -4021018, -4021019?\nAnswer: -4021020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077561 divided by 359187?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/9)\/(4\/24). Solve 2*a - r = -2*n, -2*n - 15 = -5*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-9*g + 13 - 3*g - 11) as d + h*g and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6874\/1473*15\/21\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 189, 621, 1455, 2823, 4857, 7689?\nAnswer: 11451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3 + 1\/3. Let l = -0.9188 + -0.0812. Sort 2, l, 9, x in descending order.\nAnswer: 9, 2, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 1 + 4. Solve -9 = -4*y - k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/50 + 1\/25. Let t be ((-2)\/(-11))\/1 + 0. Let g = 0 - 2. Which is the closest to -1? (a) g (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyxfcfxxyc. What is prob of picking 2 x and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 63*l**2 + 3*l**4 - 5*l + 52*l**2 + 1 - 101*l**2 as c*l + u*l**3 + g + d*l**2 + y*l**4 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -369*i**3 - 8*i**2 + 3*i - 11. Let q(s) = -123*s**3 - 3*s**2 + s - 4. Calculate -4*g(c) + 11*q(c).\nAnswer: 123*c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + z - 3*w, -w = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h + 126*h + 330 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c - 573. What is i(65)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 42\/5*c + 3\/5*c**3 - 27\/5*c**2.\nAnswer: 3*c*(c - 7)*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -30. Let p be g\/(-7) - (-3 - 0). Which is the closest to p? (a) -2\/5 (b) -0.1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/7, 1\/6, -7, -114?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*k + k**2 - 91*k + 222*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (0\/(-6) + 1\/1). Suppose -9*v + 11*v = q. Let j(o) = -o**3 + 3*o**2 + 4*o - 2. Let s(g) = g - 1. Let n(p) = v*j(p) - 3*s(p). What is n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 25*r - 242 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q. Let u(g) = 6*g. Let p be -3 - (-4 - (-3 - 0)). Let h be p\/(-4)*(2 - 20). Let k be -3*2*(-6)\/h. Calculate k*x(o) - 5*u(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)*q)**(-4)\/(q\/(q**(2\/3)\/q)*q)**(-7\/3) assuming q is positive.\nAnswer: q**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16956620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 677328603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 1736272*z.\nAnswer: -4*z*(z + 434068)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -20 - 88. Let t = s - 109\/4. Which is the biggest value? (a) -3 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043273 rounded to 4 decimal places?\nAnswer: -0.0433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/12 + k**2\/2 - 3*k. Let b(w) = 7*w**2 - 8*w + 8. Let f(q) = -b(q) + 4*d(q). Factor f(h).\nAnswer: -(h - 2)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 2 - 2*r + 3*r)*(-2*r + 5*r - r + (-1 - 4*r + 1)*(0 + 2 + 1) - r + 4*r - r) as k + c*r + n*r**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkknnnnnn. What is prob of sequence nk?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (4 - 8 - -3 - -4). Suppose 5*x - 18 + m = 0. Suppose 2*t = -x*c + 310 + 156, 20 = -5*t. What are the prime factors of c?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42776151 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/(-1309)*-378 - -30?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffdr when four letters picked without replacement from {r: 7, d: 5, f: 8}.\nAnswer: 49\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(2*sqrt(171) + sqrt(171) + sqrt(171))*2)\/((sqrt(225)*-2 - sqrt(225))*-3 - (sqrt(225) + 1*(sqrt(225) - (sqrt(225) + (sqrt(225) - sqrt(225)*1))))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -10\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 - 83 = 84*o - 230 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40290*u**4 - 144*u**3 + 34588939*u**2?\nAnswer: 966960*u - 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1813?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6208 - 4393. Suppose 2163 = 9*s - m. List the prime factors of s.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*n*w**3 + 4*n*w**2 - 847*n*w - 182809*n - 2 wrt w.\nAnswer: -15*n*w**2 + 8*n*w - 847*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -12ba9?\nAnswer: 12baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19903 + 19905. Solve 0 = 4*j + 5*y + s, 4*j - 4*y = -8*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 39, 5.\nAnswer: 0, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:10 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*y + 10 - 10 + (1 + 1 + 0)*(2 - 2 - 2*y) - y + 2 - 2 + (5 - 2 - 5)*(-4*y - 5*y + 5*y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3\/4 + 33*j**2\/2 + 90*j = 0. Calculate j.\nAnswer: -12, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 4743?\nAnswer: 4743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 600*z**5 + 35780*z**4 - 79290*z**3 + 64515*z**2 - 23125*z + 3090 = 0.\nAnswer: -309\/5, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 802*q - 28*q**2 + 579*q**3 + 14*q**2 - 600*q**3 wrt q?\nAnswer: -126*q - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 5. Let c(i) = -i**2 + 19*i - 24. Let x be c(18). Determine a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 34. Let n be t(-5). Let p be (-2)\/6 + 194\/6. Let f = p + n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240539.\nAnswer: 13, 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2360 - 54278\/23. What is the nearest to -0.11 in z, 1\/2, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.9 + -29. Is 11 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -3*w**4\/4 + 7*w**3 + 3*w**2\/2 - 21*w - 86. Solve o(x) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1718, 6, -2846, -6838?\nAnswer: -11970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 338570690 times 5?\nAnswer: 1692853450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:32 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 55 + 11 = -2*r, 3*r = -f + 6. Suppose 3*n + f = 0, -4*a - n + 1 = 2*n. Solve -3*w - 5*d - 16 = -7*w, a*d = -3*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6.03. Let z = 2.97 + b. Which is greater: z or 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = w + 38 - 34, -z + 7 = 2*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or -53\/10?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 2230839?\nAnswer: 15615873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*d - 212, -2*d + 3*n + 6 + 75 = 0. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnmbumbxxmuxxxmbunb. Give prob of picking 1 b and 1 u.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43382800 divided by 21691400.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-3)\/(12\/8). Let b be ((l*26)\/(-2))\/(-1). Let t = b - -80. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -30. What is the closest to -2\/5 in p, -4, 55?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 6*i - 26. Suppose -5*d + i = -62. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-91) - 19\/133.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 175, 259, 343, 427, 511?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(7)*-1*2)**2 + sqrt(7) - (sqrt(7) - (sqrt(175) + -3 + sqrt(175)))).\nAnswer: 22 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326 + 326. Let l(j) = j**2 + 3*j - 7. Let i be l(-5). Which is the closest to 2? (a) h (b) 0.03 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3172, -6350, -9528, -12706?\nAnswer: -15884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 83*s**4 + 27*s**3 + s**2 + 87*s - 33. Let c(m) = 20*m**4 + 7*m**3 + 21*m - 8. Let i(g) = -33*c(g) + 8*d(g). Factor i(f).\nAnswer: f*(f - 3)*(f - 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.457053 tonnes in kilograms?\nAnswer: 9457.053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**4 - 7*t**2 - 3*t. Let l(m) = 2*m**4 + 4*m**2 + 2*m. Let u(i) = 5*l(i) + 2*p(i). Factor u(r).\nAnswer: -2*r*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:47 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1210 - 22?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1417130517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*o - 36749 - 116641. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1113\/(-212))\/(3\/(-2860))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 - v**2 - 2*v + 4. Let m(a) = -34 - 27 + 2*a + 84 - 26 - 3*a**3. Calculate 4*m(w) + 3*x(w).\nAnswer: -3*w**3 - 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1178196 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32676 by -7.\nAnswer: 4668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487735*f**3 - 4 - 487703*f**3 + 4 - 67*f**2.\nAnswer: 32*f**3 - 67*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2929164nm to millimeters.\nAnswer: 0.0000002929164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*k - 0*k - 21, 3*n - 4*k = 1. Suppose -w + 39 = -7*f + n*f, w - 3*f - 36 = 0. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 611 - -2?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:19 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w - 50. Let p be (-1695)\/(-6)*(-904)\/w. Let m = p + -1538. Round m to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/15*(-6)\/(-5)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/63*(-132)\/(-22)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.019 + -34.019. Let z = p - -9. Let w = 24.999996 + z. What is w rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*u - 111 + 111)*(1 - 1 - 2)*(-1 + 1 - 2) + (-4 + 2*u + 4)*(4 - 3 + 0) to g + a*u and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -3, 23842, -2, 4, -4 in ascending order.\nAnswer: -77, -4, -3, -2, 4, 23842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1 + 46*g**2 + 49*g**2 - 144*g**2 + g + 46*g**2. Let k(c) = -c**2 + 8. Let u be k(-3). Calculate q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-7 - 10)) + -23 - 21.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*y - 9 = 4, -40 = 4*b + 5*y. Let n = 1.2 + -2.2. What is the second biggest value in b, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153483 = 2731*i + 36050 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/55*(-10)\/4. Suppose h - 9*x + 11*x = -11, -n*x = -4*h + 16. Let g be 2\/2*-1*-6. Let j(l) = 9*l. Let p(b) = b. What is g*p(y) + h*j(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:59 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(144)*-1)\/((-2*sqrt(120))\/sqrt(10)).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*(-24)\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**4\/3 - r**3\/6 - r**2. Suppose -3*n + n + j + 4 = 0, -2*j - 4 = 0. Give a(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:08 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(10\/8)\/((-930)\/(-124))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/18)\/((-2)\/(27\/(-24)*-16)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 254000 and 17625?\nAnswer: 35814000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = b - 16, -4*a + 5*b + 6258 = 0. List the prime factors of a.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171458067.\nAnswer: 3, 11, 1721, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1224\/252)\/(2\/7). Differentiate -s + 43 + 6 + 43 - q**2 - 43*q + 6 with respect to q.\nAnswer: -2*q - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c - 62*c + 42 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139 or 963\/7?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = 15. Let b(a) = -66 + 16 + 4*a + 21 + 19. What is b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 44. Solve 5*u + f = -9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - -68) + -208 - (-9 - -1)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(180) + -2)*1)**2 + (2*sqrt(315))\/(sqrt(700) + -1*sqrt(700) - sqrt(7)).\nAnswer: -368 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 298973621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0\/1)\/(-3))\/2. Suppose -q - 3*q + 16 = t. Calculate the remainder when 7 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 19*o - 1976. Determine v(74).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -47. Suppose p = -3*t - 45 + 2406. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1165333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l = -6*l + 4340. Let u = l - 103. What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1025, 1146, 1349, 1634, 2001, 2450?\nAnswer: 2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 11\/6*c**3 + 0*c + 13\/24*c**4 + 0 + 8*c**2. What is the first derivative of d(y) wrt y?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 264.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49038?\nAnswer: 2, 3, 11, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 4*o**3\/3 - 4*o**2 + 4*o + 11. Suppose z(a) = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209432471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1263523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-3)*3\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*p = 10, -2*t - 2*p = 32*t + 140 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6057834?\nAnswer: 2, 3, 31, 32569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(18)*3 + sqrt(18))\/sqrt(3)*3)\/(sqrt(6)\/(3*sqrt(27) + sqrt(3))*3).\nAnswer: -140*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**4 - 7*f**3 + 14*f - 7*f**4 - f**2 + 2 + 11*f + 3*f**2 + 10*f**3 in the form o*f**3 + p*f + a*f**4 + x*f**2 + n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3676740295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2381 is divided by 623.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -25?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -150 + 3\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1304387 + 68*c**3 - 2608767 + 1304380.\nAnswer: 68*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79, 43, 9, -23?\n\"Answer: i**2 - 39*i + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + f**2 - 3*f**3 + 478*f + 949*f - f**2 + f**2 to v + d*f**2 + w*f**3 + j*f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*g = -307*g + 1298*g + 1159*g - 38722 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i, 4*h = 9*h + 3*i - 35. Suppose 8 = -2*r + 4*r. Factor t**4 + 7*t**4 - r*t**2 - h*t**4.\nAnswer: 4*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -15. Suppose 2*z - 1 = w. Differentiate 3 - 2*l + 7 + z wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 + -2.9. Put -0.1, 2, f in descending order.\nAnswer: 2, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*m + 32*m + 3*m**2 - 13*m + 1 + (4 + 5 + 2)*(14*m**2 + 3*m**2 - 5*m**2).\nAnswer: 135*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (0 - -3) - 1. What is the remainder when b\/(-22) - (-964)\/22 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3084 and 192?\nAnswer: 49344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 99 = 30*w - 4*t, w + 6*t + 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-40)*(-27)\/((-2646)\/140)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.9636583 to two dps.\nAnswer: -40.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 332 = 3*c - 118, -3*k + 122 = -5*c. Does 10 divide k\/(-33)*(-54)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12752 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b)\/b)\/b*b**(1\/2) assuming b is positive.\nAnswer: b**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.242 (b) 4 (c) 0.2 (d) -4 (e) -16752\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 - -571\/3. What is the nearest to -8\/9 in -5, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -0.3 (c) -3692\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -548 (base 16) to base 10\nAnswer: -1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -641\/108 - -31\/216. Let n = 56\/117 - -1\/13. What is the common denominator of n and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*q + 989 - 990, 2*y + 12 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = -8, 0 = 4*f - 2*x - 16. Suppose f - 19 = 4*d, 3*d + 16 = 4*y. Let n = -182 - -178. Put y, -2, n in descending order.\nAnswer: y, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 18 = 34. Suppose -g = a*g - 189. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-124)\/(-6) - 20)*(-18)\/8. Which is the nearest to -0.2? (a) -1\/3 (b) 99 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*p - 4*k, 2*p + 0*p = k + 10. Let n(j) = -4*j - 2*j**3 - 3 + p*j - 1. Is n(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 39 = -25. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8771 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 181460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 1, 1\/4, -107 in descending order.\nAnswer: 1, 1\/4, -4, -9, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 529*f + 10788. Determine i(-21).\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -523, -1050, -1577?\n\"Answer: -527*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 1088.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5, -16 = m + 2*m - 5*n. Suppose -2*o - 12 = -m*o. Suppose 3*b + b = o, -5*b + 19 = 2*d. Solve d*x = -6 - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 0.6, -1\/6, -3\/4 in ascending order.\nAnswer: -3\/4, -1\/6, -2\/17, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 219*(-144)\/(-12) - -5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22443, -22217, -22009, -21825, -21671, -21553, -21477?\n\"Answer: -c**3 - 3*c**2 + 242*c - 22681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 + -100?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z - 79*z - 6 = 0, 4*r + 2*z = 15928. What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = 34*i - 53504. List the prime factors of i.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)*u*u*u*(u\/u**(-2\/9))\/u*u*(u\/u**(4\/3))\/(u\/u**(-4\/7)))**(-4\/23) assuming u is positive.\nAnswer: u**(-500\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -705 divided by 3\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2330 (base 7) to base 13\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427502 divided by -3?\nAnswer: -475834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/197136 and 115\/427128.\nAnswer: 2562768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2*sqrt(162) - (-3 + sqrt(4)\/sqrt(2))) + (sqrt(400)*3)\/sqrt(8)))**2.\nAnswer: 3072*sqrt(2) + 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -205, -420, -721, -1108?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)\/sqrt(12))**2 - (3 + sqrt(9)\/sqrt(3)).\nAnswer: -sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, 148, 0 in increasing order.\nAnswer: -160, 0, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*b - 3 = 0, 2*p - p + 2*b + 9 = 0. Suppose 46*a - 555 = -873 - 3500. What are the prime factors of (-1 - 0)\/p - (a - 9)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 29. Let c(k) = -150*k**2 + 3*k + 4. Let f(j) = 150*j**2 - 4*j - 5. Let o(w) = -3*c(w) - 2*f(w). Let l be o(r). Round l to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 48*s - 3*s**3 + 48*s + (-20 + 9 - 38)*(-3*s**3 + 0*s**3 + 6*s**3).\nAnswer: -150*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m. Suppose 4*f - 3 + 11 = -5*g, m = 2*f + 4. Solve -5*x - 10 = -g*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02482 and 7.96.\nAnswer: 7.98482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 + 33*x - 11. Let r be m(-7). Solve -5*j + j + 4*f + 12 = 0, 0 = -r*j - 2*f + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -25, 0, -8, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**6\/120 + 19*k**5\/60 - 13*k**4\/24 + 41*k**3\/6 - 2*k**2 - 21. List the prime factors of n(-19).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 45. Suppose -8 = -2*p + 5*l - 2, 14 = 3*p - c*l. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -360593\nAnswer: 3\/360593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5686*h**2. Let x(a) = 100*a**2. Determine g(x(d)).\nAnswer: 56860000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87684*b - 71044 wrt b?\nAnswer: 87684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i**3 - 7*i**2 - 2. Let w(j) be the first derivative of 5*j**4\/4 + j**3 + j - 7. Let s(u) = u**2 - 1. Let f be s(2). What is f*l(y) + 7*w(y)?\nAnswer: 2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - q + 1060 = 0, -18*q = -5*b - 14*q + 1744. Calculate the highest common factor of 55 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 31 (b) 0.03 (c) -83.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22*((-3)\/2 + 1). Let r(b) = -b**2 - 12*b - 10. Let t be r(y). Solve 0 = q - 2*q + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*t - 36*t - 1965 = -43*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 0.22 (c) 0 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1330*h - 36020 = -9116 + 58216 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78522707 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1700, 2643, 3586, 4529?\n\"Answer: 943*r + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = n - 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 816 and 6477?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43 + 272?\nAnswer: 22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15024\/(-384) - -40 - 5719\/6664.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**3 + 21*t**2 + 18*t = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 399 + -270. Let l be (31\/3)\/((-3)\/(-81)). Suppose -14*h + 29 + l = 0. Calculate the remainder when o is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**4\/6 + 71*m**3\/3 - 72*m**2 + 392*m - 1. Factor g(r).\nAnswer: 2*(r - 1)*(r + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m\/((m**0\/m)\/m))\/m)\/m))**(1\/15) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 56, -3, 0 in decreasing order.\nAnswer: 56, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 445349*s**3 + 2*s**2 + 3736902 with respect to s.\nAnswer: 1336047*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561159*h = 561203*h + 1848 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 1)*(2 + 2*u - 2) - 5 + 5 - u)*(0 - 8 - 1 + (-7 + 4 - 3)*(-3 + 0 + 4) + 3 - 4 + 0) in the form c*u + m and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m**2 + 1)*(4*m - 2*m + m) + (8 - 8 - 3*m)*(3 + 1 + 1)*(2 - 7 - 5)*(4*m**2 + 1 + 2*m**2 + m**2).\nAnswer: 1053*m**3 + 150*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 363349309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 6*p - 2. Let a be i(7). Calculate the common denominator of (-37)\/(-36) - 6\/(-24) and (a\/10)\/(216\/(-450)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186384907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19314080 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -12*y + 9. Let i be f(1). Let k(s) = -461*s**3 + 8*s**2 - s - 7. Is k(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:31 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2187\/(-135) + 23 + 14\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 7:44 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000248 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -384983541059 - 0.25?\nAnswer: -384983541059.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 + 20 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1352*b - 8074. What is the smallest common multiple of 285 and r(-6)?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.133, 0.4, -0.3, 51, -2\/7 in descending order.\nAnswer: 51, 0.4, -0.133, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 2*q = 11*q - 118076900. What is q rounded to the nearest one hundred thousand?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 + 3*z - 2. Suppose -2*y + 5 = 1. Calculate the remainder when 61 is divided by x(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k. Let l(i) = -3*i**2 + 27410*i + 1. Give l(d(p)).\nAnswer: -27*p**2 - 82230*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 723085 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) -0.5 (d) -2\/9 (e) -0.3 (f) -0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/6 - 10*v**3\/3 + 25*v**2 + 72*v. Let c(b) = 0. What is b?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -412, -680, -990, -1342, -1736?\nAnswer: -2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/21*2112\/(-19360)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-36)\/12*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2418, -2415, -2416, -2427, -2454, -2503, -2580, -2691?\n\"Answer: -h**3 + 4*h**2 - 2*h - 2419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*w = 4*y - 201*w + 34, 5*y + 2*w = -59 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 26*t + 1. Let v be y(1). Let n(o) = -3*o**2 + o + 25. Let k be n(0). Suppose 0 = -2*z - 0 + 6, -z = -4*m + k. Solve -v = 5*g - m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (12 - (-5 - (-7 - 4))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 + 65?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 15840*w**2 - 12417600*w - 202757120.\nAnswer: -5*(w - 1592)**2*(w + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 not equal to 681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 7. Suppose -2*i - u - 2 = -1, -2*i - z*u + 11 = 0. Does 4 divide (-1 + (-3)\/i)*12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((2\/6)\/(8\/24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1179*k**4 + 2*k + 967?\nAnswer: -14148*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 19*a + 2*o + 11 = 0, 11 = 3*a + o. Suppose -a*n - 2*d + 335 = 0, 3*n - 329 = -0*n - 5*d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-9 - -8 - (2 + -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 634.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26191\/8 - -3269. Which is bigger: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*c*x**3*z**2 - c*x**3*z - 2*c*x**2 - 56*x**3 + z**2 + 2 wrt c?\nAnswer: 6*x**3*z**2 - x**3*z - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -24*r - 288. Let m be t(-12). Suppose 25 = -41*j + 43*j - k, 4*j + 2*k - 62 = m. Calculate the least common multiple of j and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 44*q - 231. Calculate u(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -1 - 4)\/((-2)\/252). Calculate the highest common divisor of 42 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130 - 381*x**2 + 39 - 388*x**2 + 82 + 204 wrt x.\nAnswer: -1538*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/18*6\/35.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/2 - 1) + (49 - 1). Let q(h) = -102*h + y*h + 6 - 6. Let c(a) = -2*a**2. What is c(q(w))?\nAnswer: -6050*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -254, -10, 3 in increasing order.\nAnswer: -254, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4973312 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose -x*h - 9 = 0, -3*h - h = 5*j - 3. Suppose 192 = 5*u - 3*t - 10, -j*t = -4*u + 164. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5)*f)\/f)**(-24)*(f*f*f*f**(-1\/2))**6)**(-5\/19) assuming f is positive.\nAnswer: f**(-675\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19808, -1, 6 in decreasing order.\nAnswer: 19808, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/9, 2.88, -2?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118530 is divided by 611.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/99 - (-94)\/18. Let h be 2*2 - (6 - z). Let w be (-1)\/((-2)\/(-16)*-2). Sort -2, h, w in decreasing order.\nAnswer: w, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 + 727*b + 5027. Determine x(-7).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdqq when four letters picked without replacement from {q: 3, f: 7, k: 4, d: 3, m: 1}.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -2) + (-8)\/(-4). Suppose f*b + 0*b = 10. Solve 0 = b*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q*q*q**(-27\/5))*q)\/q*q)\/q**(14\/3)*q*q**(-3\/7)*q*q*q*q\/(q*(q\/q**(-20)*q)\/q)*q)**26 assuming q is positive.\nAnswer: q**(-40118\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3 - 3)*(1467 + 203*o - 1692*o - 1467).\nAnswer: 2978*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(637)*-4.\nAnswer: 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*k - 136*k + 2 = 0. Suppose 0 = -4*m - m + 65. What is the remainder when (4\/3 - k)*(-22080)\/(-160) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + 143\/22. Let r be (-1766)\/u + (-12)\/(-9). Let y = 78 - r. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/11 (c) 1 (d) -2\/749 (e) -187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-4 - -1)\/3. Let g(x) = 1. Let o(s) = -7*s - 2. Let c(u) = d*o(u) - g(u). Give c(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/3, 6, -0.3, 477?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 t when four letters picked without replacement from rtttrttttrt.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 5*m**2 - 4*m + 5. Let f be 3 - (3 - -4)\/(-7). Calculate w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004555 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**5\/20 - j**4\/12 + 5*j**3\/3 - 7*j**2\/2 + 22*j. List the prime factors of t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(9)\/sqrt(3))*-4 + -1 - (sqrt(3) + (-2*sqrt(36))\/sqrt(12) + sqrt(12)\/sqrt(4)*1).\nAnswer: -21 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 - ((-8 - 1) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 383\/126 + -41\/14. Suppose -1\/9*f**5 - k*f**2 - 2\/9*f + 1\/3*f**3 + 1\/9*f**4 + 0 = 0. What is f?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3115 divided by -89.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8972*d**3 - 13*d**2 - 21*d + 11. List the prime factors of l(-2).\nAnswer: 71777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a279 + -151?\nAnswer: -a3ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -394018 by -599.\nAnswer: 394018\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a8 (base 14) in base 9?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, j: 6, d: 7}. What is prob of picking 3 d and 1 j?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 634565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17c9e6 (base 15) to base 7.\nAnswer: 12554460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/30*200970\/4642407.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 207 = -23. What is the highest common divisor of 46 and t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 16 = 4*y. Let w be y*(21\/12 + -1). What is the units digit of (-5)\/(-1) - (-2 - w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35a6 (base 12) in base 6?\nAnswer: 43530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28243 - -29143. Calculate the remainder when 1810 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeebnseebbvwesv. What is prob of picking 1 s, 2 v, and 1 w?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 314 = -2*l, 0*t - 139 = t - 5*l. Let c = 288 + t. List the prime factors of c.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1221 + 1224. What is the greatest common factor of q and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1293428 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459, 373, 297, 237, 199, 189?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 34*b - 42 = 0. Let j(q) be the third derivative of 0*q + 0 + 0*q**b - 6*q**2 - 41\/24*q**4. Let o(z) = z**2. What is j(o(w))?\nAnswer: -41*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**5 - 290*i**4 + 1830*i**3 + 234380*i**2 + 686135*i + 453870 = 0?\nAnswer: -41, -2, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:03 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.3088 + 0.2562. What is n rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1\/q)\/q)**(-22))**(1\/68)*(q*q**(2\/13)*q*q**(1\/2))**14 assuming q is positive.\nAnswer: q**(16565\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 240844, 240848, 240852?\n\"Answer: 4*r + 240840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*(10335\/(-371) + 28)*(3 + 1)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 21, 41, 77, 135?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.3 + -11.3. Let l = 4.04 + -4.24. Let v = -0.1 + 1.1. Which is the biggest value? (a) v (b) y (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -46.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q + 55 + 2*q + 5*q)*(-225 + 100 + 60).\nAnswer: 65*q - 3575","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 8, y: 4}. Give prob of picking 3 y and 1 o.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53731487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 + 3*k**2 + 29. Let x be n(-4). Suppose -x = -2*m + 809. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 - 145. Suppose -n - 4*j - 2 = 0, -2*n - 5*j = 5 - 16. What is the smallest common multiple of k and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -501132000 rounded to the nearest 1000000?\nAnswer: -501000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 11, p: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g, i + 4*g = 4 + 9. Let v(j) = 3*j + 5*j - i*j. Let t(p) = -p. Give v(t(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 560*k - 11435 + 44669 = k for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5913\/10 + -2959\/5. What is the third biggest value in -1, 0.1, -0.035, y, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4945 and 67768?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4369 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2. Suppose 4*k - 16 + 8 = 0. Let p(h) = 26*h**2 - 8*h**2 + 5*h**k. Determine f(p(q)).\nAnswer: 1058*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -672147 greater than or equal to -2016440\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17583739717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Let v(p) = -2*p**3 - 2*p**2 - 5. Let a(k) = k**2 - 1. Let j(z) = 2*a(z) + v(z). Let g(o) be the first derivative of j(o). Give b(g(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32612085.\nAnswer: 3, 5, 11, 21961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 14*j**2 + 203*j - 409*j + 206*j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 - 68. Let l(v) = -8*v**2 + 4*v + 11 + x*v**2 - v + 2*v. Is l(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-32)\/(-18) - -2) + (-1 - -22) + -25. Which is the fifth smallest value? (a) 1 (b) -89 (c) g (d) 5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -114. Suppose -79 = -3*i - a, 5*i - l = 5*a + 39. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 23035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -6 - 6. Let h be 1 - ((-3)\/(-12) + d\/(-8)). Let f(j) = j**3 + j + 2. What is f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/24 and 1 - (-4)\/12 - 358\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 + 287. Let l(n) = -z*n**2 + 9*n**2 + 0 + 2 + 20*n**2. Let h(u) = 2*u**2. Give h(l(a)).\nAnswer: 32*a**4 - 32*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -623 + 691. What is the remainder when 75 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 154 - 106. Solve -3*y - q*v = -19*v - 8, 0 = 3*v - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**8\/2016 - m**7\/1260 - 271*m**2. Factor n(l).\nAnswer: l**4*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v*v**12*v*v)\/v*v**(2\/29)\/v)\/((v*v**8)\/v*v\/v**(6\/11)))**(46\/3) assuming v is positive.\nAnswer: v**(97060\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93349 and 1011?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21071452 - 0.1.\nAnswer: 0.11071452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -18*t + 714. Is 34 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h + 82. Let j be g(-22). Let p be 4\/2 + -5*(-20)\/j. Sort -23, 3, p, -5.\nAnswer: -23, -5, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 13. Let n(h) = -5*h**2. Give i(n(z)).\nAnswer: -5*z**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2 - (-3339)\/7) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1341, -2681, -4021, -5361?\n\"Answer: -1340*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1996 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3672 + -286. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6419362 less than 6419362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2. Let j(a) = -20*a**2 + 18. Let u(f) = 9*f**2 - 8. Let q(y) = -4*j(y) - 9*u(y). Determine i(q(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**7\/42 - 9*z**6\/40 - z**5\/30 + 647*z**4\/12 + 2*z**2 - 7*z - 7. Find the second derivative of k(x) wrt x.\nAnswer: 60*x**2 - 162*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60716 divided by -1?\nAnswer: -60716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -7. Let s = q + 8. Solve n + 1 = -3*b, 4*n = -s*b - 0*n - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 (base 11) in base 6?\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -150. Suppose -j + 4*z - 265 = -0*z, 0 = j + 3*z + 265. Let n = j + 2917\/11. Which is the nearest to v? (a) -4 (b) -1\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1676 * 507.\nAnswer: 849732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 388*c - 6117. What is j(16)?\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 23*o**4 + 17*o**3 - 24*o**2 - 17*o. Let l(b) = 8*b**4 + 6*b**3 - 8*b**2 - 6*b. Let y(g) = 17*l(g) - 6*r(g). Factor y(x).\nAnswer: -2*x**2*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 6339972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-4) + 8220\/12. Suppose 124 + g = 2*j. List the prime factors of j.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-248)\/80 - -3)\/(8\/(-10)). Let l(t) be the first derivative of 4 + 1\/12*t**3 + 0*t + d*t**2. Factor l(q).\nAnswer: q*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -997\/547294 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.9 - -23.9. Which is the closest to -1? (a) 56 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103347197 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*s = -22, 2 = 147*g - 142*g + 2*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 11*z - 6. Let d = -13 - -3. Let m be x(d). Suppose -2*p + q + 183 = 0, -q + 3*q = -p + m. What is the greatest common factor of 36 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.09407 + 0.09407. Which is the fourth smallest value? (a) -8.6 (b) 0 (c) 0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-294)\/12)\/(-49)*-18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230380.\nAnswer: 2, 5, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111120102 (base 3) in base 16?\nAnswer: 26a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 171 and 0.3816?\nAnswer: 170.6184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 7*v**2 + 4*v - 5. Calculate the lowest common multiple of g(-8) and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5 - 1139640*q**4 - 108230471154*q**3 + 216464361240*q**2 - 108232750443*q = 0.\nAnswer: -189941, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92776?\nAnswer: 2, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -290 - -203. Let m = p + 171\/2. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.907454 to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from saqqakaasusaakaaksaa.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44608, -44213, -43816, -43417, -43016?\n\"Answer: k**2 + 392*k - 45001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 0 - (-1 + 7) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*18620\/(-1764) - -17.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1417 = -2*q + r + 1014, -r + 4871 = 4*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 2)*4\/(-30). Let r = 0.1 - 0. Let m = 0 + r. Which is bigger: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 394 = o - 5*c, 0 = 4*o + 2*c - 408. Let j = o - -98. Does 36 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by (1 - 14) + 19 + (2 - 4) + 52.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13103003322 (base 4) to base 3.\nAnswer: -10121012020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 146*n + 2854767 - 2854767. Let a(w) = 2*w**2. What is a(u(y))?\nAnswer: 42632*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/23, 1\/5, -54, -1\/11, 1, -5 in increasing order.\nAnswer: -54, -5, -8\/23, -1\/11, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781996 is divided by 55686?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 11*w**2 - 8*w - 13. Calculate z(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14025 = 11*v + 6*v. Let x = v - 462. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14\/227 (b) -1\/2 (c) 2\/9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/3, -0.0787 in descending order.\nAnswer: 2, -0.0787, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468.2248 micrometers in meters?\nAnswer: 0.0004682248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*y - 2560*n**2 - 7*n - 2*y + 76401 wrt n.\nAnswer: -2*n*y - 5120*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 5*r + 7, -l - 20 = 3*l + 4*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-286)\/(-572))\/(3\/48) - 40?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 42. Let x(i) = -6*i**3 - 12*i**2 - 7*i - 4. Let o be x(l). Let v = 107 - o. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 9:54 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22941 is divided by 112?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115 times -0.7?\nAnswer: 0.0805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -126 + 62 + 59 - 2*k. Let y(p) = -41*p - 5 + 80*p - 33*p + 19. Determine 17*i(r) + 6*y(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyryqqrr. What is prob of picking 1 r and 2 y?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*v - 58, 5*n = -6*v + 4*v - 72. Is n bigger than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1 - -4)\/1. Suppose -v = x*u - 114, 6*v - v = -2*u + 524. Calculate the greatest common divisor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 21. Let l be x(-14). Let v(q) = -q**3 + 9*q**2 - 10*q + 5. Let r(a) = 2*a**2 - 7*a + 5. What is the remainder when v(l) is divided by r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from xpzeeeezxhx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*c + 3*g, -117*c + 114*c + g + 12 = 0. Let 215\/2*p**2 - 75\/2*p - 20*p**5 - 145*p**3 + c + 90*p**4 = 0. What is p?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 230, 433, 634, 833?\n\"Answer: -k**2 + 206*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -90. Suppose t*u - 15 = 0, 2*u - 21 - 21 = -4*w. Suppose -3*x - 13 = 2*o, 4*x = -2*o - o - 19. Sort x, -4, w.\nAnswer: -4, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmxpemuxexe. What is prob of sequence mup?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5804, 156, 6116?\nAnswer: 12076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 942153 and 570?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3933766022?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716490 is divided by 11363?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.133 and 60240.\nAnswer: -8011.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 2238.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**5\/20 - p**3\/6 + 3*p**2 + p. Let d be -3 + (-28)\/7 + 7. What is k(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 10. Let a = 28 + -24. Let z be (a\/(-8) - 0)*0. Determine q(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.075 - -0.075. What is the closest to c in 3, 1\/7, 8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367a (base 11) in base 6?\nAnswer: -34130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y = 45*y - 24*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.42 minus 354?\nAnswer: -390.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-10)\/(-80)*8\/(-22)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2047282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744 = -11*z + 939. What is the highest common divisor of z and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 - 2.2. What is the nearest to 0.1 in -5\/3, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/1925)\/((-2)\/(-30))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57\/2 of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x + 4*t + 2, 4*x = 2*t + 10. Solve -2*r - 8 = -x*l, -9 = -2*l + 4*r + r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 4) + -7 + (-10 + 1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20 + -20)\/(0 - 0 - -1). Is -5 + (-4 + (3 - o))*-199 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46883643 = -324*j + 111*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 5, 0.03, -0.0921, 1?\nAnswer: -0.0921","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - v = 0, 0 = -o - 3*o + v - 3. Suppose -3*f + 5 = -4. Which is the closest to o? (a) f (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*r - l, 8*r - 3*l = 7*r + 7. Let x be 0 + r\/(-4) + 4. Solve x*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163 + -0.157\nAnswer: 162.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 72*r = 76*r + 312, -4*r - 520 = -5*j. Calculate the smallest common multiple of 22 and j.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(((-792)\/90)\/(-22)*(-50)\/40)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/5))**18)**(-2\/39)\/(y**(1\/6)\/(y*y**(-3\/11)))**(-5\/8) assuming y is positive.\nAnswer: y**(-5689\/34320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 99. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2*1)\/(27\/(-189)))\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p)*(5 + 11 - 10 + (-1 + 1 - 2)*(0 + 3 - 5) - 1 + 12 + 4)*(-6 + 1 + 4).\nAnswer: 50*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83*o**2\/2 - 198983*o\/2 - 38352.\nAnswer: -(o + 2397)*(83*o + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**3 + 76*y - 44*y - 32*y + 73*y**3 - 5977.\nAnswer: 58*y**3 - 5977","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a factor of 19702713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4394880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4317 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/405*((-8)\/((-192)\/1395) - -3) and -23\/490.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -25 + 3 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -14*t + 16*t + 53, -2*u = -2*t - 26. Solve -7*f + 2*p - 6 = -3*f, 3*f + u = 3*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 236 - 224 = 0. Let n = -53 - c. Let l = n + 5. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c8 (base 15) to base 9\nAnswer: -1158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*h*p**2 - 9*g**3*p**2 + 2*g**3*p - 2*g*h*p + 4*g*p + 3*h**3*p**2 - 2*h**3 wrt p?\nAnswer: -4*g**3*h - 18*g**3 + 6*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -s + 5. Let c be (-3)\/(-4) + 9\/s. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 332.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146 and 1825.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1099*d**3 + 143*d**2 - 22*d - 3729. Let b(p) = 550*p**3 + 78*p**2 - 12*p - 1865. Let a(x) = 11*b(x) - 6*z(x). Differentiate a(o) wrt o.\nAnswer: -1632*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n. Let d(s) = 7*s. Let q(a) = -4*d(a) + 6*t(a). Let z(p) be the first derivative of 2*p**2 - 2. Determine q(z(h)).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17191, 3, -5 in decreasing order.\nAnswer: 17191, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39839627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121290208*o**4 - 268*o**2 + 3825*o + 4.\nAnswer: -2910964992*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/5, -0.7, 322, 64?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 26. Is -54 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m + 4*m - 5*m)*(2*m - 2*m - 2*m) + 23*m**2 + 57628 - 57628)*(-1 + 0 + 0).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*u - 2*c, -145*c + 147*c = -u + 10. Solve w - 2*f - 51 + 41 = u, -10 = w + 2*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z + 4, 0 = -2*f - 5*z + 89. Suppose -5*u + u = f. Let i(l) = l**2 + 13*l + 12. Is 6 a factor of i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3.7. Let s = 13.75 + -13.73. What is the biggest value in b, 1.8, 0, s?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 1 - 1)*(-3*w + 0*w + 4*w) + 2 + 2*w**2 - 2 + 6609*w + 53*w**2 - 6609*w + 2*w**2 + 5*w**2 - 4*w**2 in the form d*w**2 + c*w + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38231 and 45.\nAnswer: 38276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1584 - -2540?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 3966*b**5\/5 + 492*b**2 - 3225. Find the second derivative of x(v) wrt v.\nAnswer: 47592*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29805*j*l + j + 89*l - 144 wrt j.\nAnswer: -29805*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-744)\/(-70))\/4 - (-12740)\/(-4550)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 15. Let r be w(-17). Calculate the greatest common divisor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 15*x + 10. Suppose -4*p - 33 = -p. Is y(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 5:41 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*q = 759*q + 43832 + 18328 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -4d3?\nAnswer: -4d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4761011 less than -502352?\nAnswer: -5263363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1245233 - -4?\nAnswer: 1245241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510435*w + 511406*w + 79622 = 0 for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 + 3785*a**2 - 7555*a + 3775 = 0.\nAnswer: 1, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/165?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 4*h + 2. Let f be c(4). Let t = f - 19. Let k be (-16)\/(-6)*t\/20. Solve 0 = -a + 3 + k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106081*j**3 + 5*j + 7367 wrt j.\nAnswer: -636486*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -16. Let x be 15\/s + 9\/(-6). Let u(b) = -b. Let t(d) = 7*d - 1. Determine x*t(g) + 6*u(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*j**4 - 2*j**3 - 2751*j**2 - 2344*j + 12 = 0.\nAnswer: -2, -1, 2\/393, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 2 + sqrt(17) + sqrt(17))*-2 + 3.\nAnswer: -24*sqrt(17) - 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**3 - w**3 + 0*w**3 - 2*w**3 - 5*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - h = -0*h - 15, -p + 5330*h - 7 = 5329*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2*n - 531 + 517, -9*a - 51 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 2*l**5\/15 + 3*l**4\/2 - 42*l**2. Let b be v(-5). Let h = -15 + b. Solve -5*f = -5*c - 5, 0 = -h*c - 5*f - 35 - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/6 + 1 - -6*204115\/180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 + 6*k - 5. Suppose -4*j + 5 = -15. Let u be c(j). Suppose 2*o + 3 = y + 3*o, -2*y - 3*o + 11 = u. Put 5, y, -3 in ascending order.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 255904 and 7997?\nAnswer: 255904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s**3 - 4*s. Let i(b) = -17*b**3 - 7*b. Suppose 0 = -0*d - 4*d + 16. Calculate d*i(q) - 7*l(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 258623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.24 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 203\/(-4263)*((-9)\/6)\/(1\/(-2))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 11}. What is prob of picking 2 r?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1799017, -3598050, -5397085, -7196122, -8995161, -10794202, -12593245?\nAnswer: -14392290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r - 3. List the prime factors of 0 - (1 + -24 - r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000159795119 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-1 - 0) + 1. Let a be (0 - 1) + d\/4. Let y(h) = h**3 - 9*h**2 - h + 8. Let n be y(9). Are a and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22283*v**2 - 10*v**3 + 22283*v**2 + v.\nAnswer: -10*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23561658 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10 + 89*n**3 - n - 2*n + 7*n**2 - 134*n**3. Suppose 3*b + 14 = -4. Let q be s(b). Round q to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 286.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*r - 5*v + 6, 0 = r + 5*v - 25. Let q = r + 5. Calculate the greatest common factor of 40 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764 is divided by 282?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/4 + (-6)\/24. Solve 4*y + 4*m + 5 = g, -3*y - 2 = 4*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 56 = -7*w, 164*j - 9 + 35 = w + 162*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 305\/3 + -100. Let b = 22.067 + -12.067. Put -1, f, b, 0 in ascending order.\nAnswer: -1, 0, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppwwppwwpww. What is prob of picking 2 w and 1 p?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 676082 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.00281 + 8.05719. Is -2 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**3 + 235*d**2 + 229*d - 5. Determine x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 0.4, 74\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 16329303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/14175 and 59\/9720.\nAnswer: 340200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-21)*-49)\/(-1). Let b = 12 - 7. Suppose 4*j - b*j - 8 = 0. Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327 + 12*a + 327.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 2 + 2*t + 4*t + (0*t + 2*t + 0*t)*(0 + 0 + 4) + t - 6*t + 0*t + 2*t + t - t + (3 + 0 - 2)*(0*t + 0*t + 2*t) + 0*t + t - 2*t - 2 + 2 - 2*t.\nAnswer: 8*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)\/sqrt(2))\/(3*sqrt(6)*1).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-304)\/128)\/((-3)\/24)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.21 + 0.79. What is the nearest to b in 5, 1\/9, -0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 11*b - 5. Let p be g(-10). Suppose -p*z = t - 56, -2*z + 130 = 4*t - 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31176 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/((sqrt(100) - (sqrt(100) - -2*sqrt(100)) - sqrt(100))\/sqrt(10) + sqrt(10)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-42))\/(15\/30))\/(1\/(63\/(-102))).\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + n**2 - n + 2. Let h(j) = -21*j**3 - 2*j**2 + 4*j - 8. Calculate h(t) + 4*k(t).\nAnswer: -25*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74310 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/2235)\/(831\/(-2493))?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13904 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**4\/4 - 5*p**2\/2 - 2*p - 555. Suppose 13 - 32 = 2*f - 3*z, 0 = -4*f + z - 13. Let x be o(f). Solve x = 5*s - 2*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s**2 + s + 1. Let t(c) = -5*c**3 - 12*c**2 + c + 13. Let p(j) = -t(j) + 4*v(j). Give p(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.553 - -0.047. Put l, -0.5, -1\/3 in decreasing order.\nAnswer: l, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.13, 0.2, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -141*j. Let x(n) = -40*n. Calculate x(k(i)).\nAnswer: 5640*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43458.57 days to minutes.\nAnswer: 62580340.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 2}. What is prob of sequence oo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 46 = 5*q + 68, q + 12 = -4*z. Let n be (-25)\/((-150)\/(-4)) - (-14)\/12. What is the nearest to n in -2\/171, z, -5?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -19877.\nAnswer: 2\/19877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9139)\/(-74) - (2 + (-3)\/2). Suppose -5 = s, -q = -10*b + 6*b - 5*s. What is the remainder when 109 is divided by b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1240 = -w, 0*q + q = w + 621. Suppose -8*a = -2341 - q. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/182 - 19\/364. Let j = -51\/140 + r. Put 0, -0.2, j in decreasing order.\nAnswer: 0, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6373, 3, 5 in descending order.\nAnswer: 6373, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0184 times -5?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9039, 36180, 81415, 144744, 226167, 325684?\nAnswer: 443295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 5*m**4 - 3*m**3 - 5 + m**3 + (m - m + 2*m**2)*(-m + m - 2*m**2).\nAnswer: m**4 - 2*m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -128, -485, -1058, -1823, -2756, -3833, -5030, -6323?\n\"Answer: 4*q**3 - 132*q**2 + 11*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4202 - -60?\nAnswer: 4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123.5 + -123. What is the closest to 0.1 in -0.5, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8 + 68*f**2 - 17 + 8.\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**3\/3 - o**2 + 3*o. Let t be g(3). Suppose -3*f - 1 = -3*w + t*w, -10 = 2*f + 3*w. Solve s - f = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/((-572)\/104))\/(4\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 264?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = 7*j - 3321. Suppose -b - b - 1390 = 4*c, -5*c = -4*b + 1770. Let g = j + c. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618\/(-15)*(-15)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.85 + 0.8. Let w = n - 2.4. Let r = -0.2494 + w. Round r to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a - 3. Suppose 0 = a*k + k + 2*p, k = -2*p - 4. Suppose 0*g - g + k = 0. Solve 0 = g*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 1. Let h(j) = -2*j**3 + 4 - 5*j**2 + 27*j - 2*j**2 + 28*j - 52*j + 4*j**2. Give -h(m) - 3*x(m).\nAnswer: 2*m**3 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3774081.\nAnswer: 3, 1258027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(1331) - sqrt(1331)))**2.\nAnswer: -110*sqrt(11) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 2*l**2 + l**2 - 2*l**2 in the form k + m*l**2 + g*l and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 6 - 5*r**2 - 7*r + r**2 - 3*r. Does 20 divide x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2559.43913 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - 8 - -6) - -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3068.8066 and -6.\nAnswer: -18412.8396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**25\/p*(p*p*p*p**(-33))\/p assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + k + (57*k + 43*k - 17*k)*(2 - 1 + 0))*(2 + 5 - 18*k + 17*k).\nAnswer: -81*k**2 + 567*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 29. Let w(o) = 4*o - 10. Suppose 0 = -16*j + 9*j + 210. Calculate the remainder when j is divided by w(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002281719544 rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2967264 and 1431?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 5*o**2 + 3*o - 2. Let h be c(-4). Suppose 32 + 45 = i - h*r, 0 = 5*i - 5*r - 370. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19220 = -24*g + 22012. List the prime factors of g.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 523\/65 + 71\/39. Let p(x) be the first derivative of -2 - 27\/10*x**4 + 32\/15*x + 16*x**3 - a*x**2. Determine j, given that p(j) = 0.\nAnswer: 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 33. Let g(z) = -6*z - 12. What is the remainder when g(m) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/19, -859, 2\/5 in decreasing order.\nAnswer: 2\/5, -2\/19, -0.5, -859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10826, -44180, -99770, -177596, -277658?\n\"Answer: -11118*a**2 + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*u - 48 = -238*u. What is the smallest common multiple of 10 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -1\/6, 5\/4793, 3.\nAnswer: -1\/6, 5\/4793, 0.1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 10*y + 19. Let t be w(-11). Let u(c) be the second derivative of 0 + 0*c**3 - 1\/4*c**4 + 0*c**2 - t*c. Let s(x) = -x. What is u(s(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-210410277.\nAnswer: -42082055.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*-2*1298\/1089. Let y = -139\/11 - p. Determine r, given that -1\/3*r**2 - y*r - 2 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 33. Calculate i(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6*n = -21. Suppose -n*j + 1081 + 449 = 0. Suppose 2*g = 7*g - j. List the prime factors of g.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 60?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 17, x: 1, q: 1}. Give prob of sequence dx.\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/9 + 2*w**2\/9 - 50*w\/9 - 50\/9 = 0. Calculate w.\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(147*a - 14*a + 9*a)*(3 - 1 + 0)*(-1 + 5 - 3)*(-2 - 1 + 2).\nAnswer: 284*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3 + 1\/6*t**2 - 5\/2*t.\nAnswer: (t - 8)*(t - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 55. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -383, 2\/9 in ascending order.\nAnswer: -383, -9, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 13. Let p = 49 + -57. Let r be b(p). Let c(j) = 11*j**2 + 2*j + 4. Let i(d) = -12*d**2 - 2*d - 5. Calculate r*c(k) - 4*i(k).\nAnswer: -7*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 2:49 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**3\/3 - i**2\/2 - 2*i. Let a be n(2). Let g = -29276 - -87814\/3. Are g and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -19, -24, -45, -88, -159, -264, -409?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6362 (base 8) to base 12.\nAnswer: 1b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*z - 468, m + 4*z - 65 = 43. What is the greatest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, x: 2, v: 4, o: 2, p: 1, j: 1}. What is prob of picking 2 x and 1 p?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1624415 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 2. Let r(y) = -66*y**2 + 24*y**2 + 23*y**2 + 21*y**2. What is k(r(n))?\nAnswer: 8*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28722340 a multiple of 716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -11*i**5\/20 - i**4\/6 - i**3\/6 - 2*i. Let q = -1 - 0. What is the units digit of o(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 87. Suppose -c = 5*g - 0*g - 75, 4*c + 15 = g. Calculate the remainder when g is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4867483 and 209301769?\nAnswer: 209301769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1190303 and 4067?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(9\/8) - (-70574)\/(-8946).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 - (4 + -7). Suppose -2*r + 13 = -5*g, r = k*g + 2 + 2. Does 6 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24 and -0.8237969?\nAnswer: 24.8237969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 106*g**2 - 2602*g + 90. Calculate w(-67).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119595 - 71095. Calculate the highest common divisor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 - -0.1. Let p = 10.2 + -11.2. What is the closest to u in 0, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3555 divided by -395?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7123 and 0.5.\nAnswer: 7123.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 11:14 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.69331l?\nAnswer: 18693.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 12783 - 12782 + w**2 + 1192*w**4 + (0 + 1 - 2)*(0*w**2 + 0*w**2 - 2*w**4).\nAnswer: 1194*w**4 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, -8, -241, -558, -953, -1420, -1953, -2546?\nAnswer: -3193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from qjhyjhyhhhyhhyh.\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(0*w**3 - w**3 + 3*w**3) + 2*w**3 + 4*w**3 - 4*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39930 and 177144?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34604 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 - j**3 + 13*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41867176?\nAnswer: 2, 13, 23, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k + 8 = 0. Calculate the remainder when 2\/(-7) - 191\/(-7) is divided by 4*(0 - -4) + k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6310209 - 391205741\/62. Let q = -439 + w. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -88.9, 4\/3, 13, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*-4*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15\/7 - -82\/35. Let z(s) be the second derivative of 1\/21*s**7 + 0*s**6 - 9*s - d*s**5 + 0*s**4 + 0 + 0*s**2 + 1\/3*s**3. Factor z(w).\nAnswer: 2*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*v - 38*v + 203*v - 49*v - 40*v - 37*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47037511*j**2*t**2 + 65*j**2*t + 2*j**2 - 298*j*t - 29*j - 2 wrt t.\nAnswer: -94075022*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11095*q + 1268. Let v(i) = 19*i + 2. What is -3*f(j) + 1902*v(j)?\nAnswer: 2853*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 17*p - 4. Let q be y(-17). Let c(b) = -b**3 - 6*b**2 - 10*b - 5. Let h be c(q). Solve -3*v - 3*r - 6 = 0, v - h*r + 12 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40454099, 80908186, 121362275, 161816366, 202270459, 242724554?\n\"Answer: r**2 + 40454084*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228188321849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 9345*z + 22 - 9348*z)*(-5 - 2 + 6)*(2 - 2 + 2*z)*(-1 + 3 - 4).\nAnswer: -12*z**2 + 128*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/773 or 1?\nAnswer: -2\/773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose -s = 6*x - 7*x - 3, 0 = -4*x - 8. Let k be 5*(s + 0) + (-3 - -1). Solve 2*y + t = -j - 3*y, -k*j - 9 = y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -132?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1247*d*g**2 - 5*d - 5 wrt g?\nAnswer: 2494*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from hyr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.246 + -1511.2\nAnswer: -1511.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58849 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -151. Solve 0 = -2*v - i - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.358 - 0.358. Suppose 0 = -2*b + 4, -4*j + 5*b = -9*j - 5. What is the nearest to -0.2 in 0.19, -0.4, s, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*q**2*x**2 + 1662467*d**2*x**2 - 34727*d*q*x**2 - d*x**2 + 3*d*x + 2*q**2*x - q*x wrt d.\nAnswer: 2*q**2*x**2 + 3324934*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 603566.3l?\nAnswer: 603566300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13*(2 + -1)*-1. Suppose o = 3*a - 9, o + 9 = 4*a - 3. Suppose 0*n + 39 = a*n + 4*u, u = -n + s. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q + 6. Let l be (q + (-1398)\/9)*3. Round l to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -0.3, 7090, -5, 4 in ascending order.\nAnswer: -5, -0.3, -0.09, 4, 7090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 161*l + 161*l - 7*l**2 + 2*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*m, 3*m + 656 = -2*d + 2824. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4*p + d + 5 = 0, 0 = -4*p + 3*d. Determine w so that 38*w + 13*w**3 + 36*w**2 + 21*w**3 + 12 - 24*w**p = 0.\nAnswer: -2, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 1) + (-1 - 0\/(-5)). What is the third derivative of l*q**4 + 12095*q**3 - 12099*q**3 - 116*q**2 - 2*q**4 wrt q?\nAnswer: 24*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 3. Suppose -2*o - 3*l = -10, -3*o - 5 = g*l - 20. Suppose 4*h = 4*m - 4, -1 - 18 = -3*m - o*h. What is the smallest value in -4, -6, m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v + 14*v**3 + 16*v**3 - 29*v**3.\nAnswer: v**3 - 29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14592 - -14717. Which is smaller: 19 or a?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28534*i**3*m**3 + 8*i**3*m - 2*i**2*m**5 + 168*m wrt m.\nAnswer: -171204*i**3*m - 40*i**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*r**2 + 377 + 145*r**2 - 284*r**2 + 484 + 115 to the form o*r**2 + a*r + z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 76*k**2 - 225*k. Let t = 97 - 28. Calculate the remainder when t is divided by l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 3170262*t**3 - 2512643457421*t**2 + 5025277404060*t - 2512637116900.\nAnswer: -(t - 1585130)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10834*q**2 + 21682*q**2 - 10843*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - -371. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2. Let y(l) = 0*l + 12*l + 0*l. What is y(t(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/56 and -101\/98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*b - 1092 = -16*b - 444 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-18) + 7\/(-3). Let h be (-15)\/q - -2 - (-8)\/(-16). Calculate the greatest common divisor of h and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/63*324\/(-24))\/((-3)\/(-14))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7561500117.\nAnswer: 3, 127, 3923, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32316\/4887 - 6\/(-21). Let b = y + -12\/1267. Does 8 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 + -1.96. What is the nearest to 0 in a, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 5*r**2 - 5*r + 5. Calculate the least common multiple of m(4) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963030838 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d = 2*v + 64, d = -3*v - 48 + 28 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 379698.888 to the nearest 100.\nAnswer: 379700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 12:12 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - -2*(sqrt(20) - (sqrt(20) + 2*sqrt(20))))\/(sqrt(120)\/(sqrt(12) + sqrt(12)*-5)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r**3 + 20*r**2 - 6*r - 5. Let u(x) = -5*x**3 + 7*x**2 - 2*x - 2. What is 11*u(o) - 4*w(o)?\nAnswer: o**3 - 3*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1013*c - 498*c + 74304 = 2226*c - 641*c for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -26*27\/819*14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219425, -219361, -219297, -219233, -219169?\nAnswer: -219105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27690 and 1365.\nAnswer: 193830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2410 is divided by 524?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 11*f**2 - 13*f + 47. Let n be k(9). Suppose -n*h + 84 = -71*h. Let b(o) = -o. Let d be b(5). What is the closest to 2\/5 in d, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 1230177?\nAnswer: -20913009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 3. Let z be f(3). Solve z = t - 6*t + m + 9, 0 = 5*t - 4*m - 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 16. Let u(z) = -z**3 - z - 1. Let p(k) = -k**3 + 3*k**2. Let h(s) = p(s) - 2*u(s). Let x be h(-2). Solve x*w - 1 = d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1093472790 - 19*i - 1093472790.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -90. Let u be -2 - -2 - (-3)\/5. What is the nearest to 2 in -2, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -1464*o + 1452*o. Find the common denominator of o and 49\/1165.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1296*a**4 - 116367*a**3 + 3474630*a**2 - 34254900*a - 7371000 = 0. What is a?\nAnswer: -91\/432, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 2 + 4 + 3. Let m be x(5). Let f = 43\/366 + 3\/61. Which is the third smallest value? (a) f (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17464 by -236.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8813948 divided by -44?\nAnswer: 200317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2860\/39*(-78)\/(-8) is divided by 712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5 + 4131*g**4\/2 + 2127961*g**3\/2 - 2684266*g**2 - 5884494*g - 2138312 = 0.\nAnswer: -1034, -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 179*h**6\/15 + 310*h**3\/3 + 1042*h. Find the second derivative of x(o) wrt o.\nAnswer: 4296*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15 - 15 - 348*y - 827*y)*(y**3 + 0*y**3 - 4*y**3).\nAnswer: 3525*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = k - 165, 7*b - 16*k - 1752 = -2112 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 4*z**5\/5 - z**4\/2 - 4*z**3\/3 + z**2 + 22. Let u(l) = 0. Calculate l.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0594157 - 0.05141612. Let b = 2.292 - 2.3. Let j = a + b. What is j rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 610*s - 258. Let u(m) = -122*m + 48. Let l(b) = 3*g(b) + 16*u(b). Let j be 2*(-2)\/(-4)*-1. Does 12 divide l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-28))\/((11\/8)\/11) - -7. Calculate the greatest common factor of 7569 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1124862 less than 0.4?\nAnswer: 0.2875138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31297639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = -u + 9, -4*r - 11 = -3*u. Which is bigger: r or -17\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -4\/3, -54, -4, 5 in decreasing order.\nAnswer: 5, -0.01, -4\/3, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*521.\nAnswer: 33344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -n - n - 17, 6*l = -3*n + 7*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 391712831 to the nearest 100000.\nAnswer: 391700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from gtwggguwuu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 780600 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 5*s**2 - 51.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 6*w**2 - 40*w + 2. Let s be z(10). Solve -2*a + 2 = -p, 3*p - 2*a = s*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-133)\/(-49) - (-18)\/63. Let u(v) be the second derivative of -2*v**b - 1\/6*v**4 - 8*v**2 + 0 + 23*v. Factor u(h).\nAnswer: -2*(h + 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001464 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3750 - 3?\nAnswer: -3753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 + f - 88. Let j be u(0). Let r = j - -159. Suppose -l - m = -3*m - 36, -l - 5*m + r = 0. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1554, -1517, -1478, -1437, -1394, -1349?\n\"Answer: b**2 + 34*b - 1589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1) + 0 + 39. Let y be (-3)\/12 + h\/12. What is the second derivative of 3*r - 5*r - r**3 + 3*r**y wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45529192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8811096ml in litres?\nAnswer: 0.0008811096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -18*f + 22. Let z be d(1). Solve 33*u - 35*u = z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 + 168 = 9*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 1. Let l(y) = -10*y - 106. Let p be l(-11). Let x(r) = 2*r**2 - 3*r - 4. Determine p*u(q) + x(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*(-3 + 3). Solve 3*d - 5 + 2 = c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6731 is divided by 2239?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10437\/(-994))\/(14\/48).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 + -142. Solve o = -70*p + 68*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8510.57, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 3*k - 14*k)*(6 + 2 - 3 + (0 - 1 + 2)*(3 - 3 - 1)) to u*k + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -794 by 657358.\nAnswer: -397\/328679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334141181 to the nearest integer?\nAnswer: 18280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/75059 + -136272\/519633457. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477404.\nAnswer: 2, 3, 41039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**2 + 2*f - 3. Let u(m) = 21*m**2 + 5*m - 8. Let y(p) = 8*o(p) - 3*u(p). Let r(l) = -l. What is y(r(w))?\nAnswer: -7*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -98, -187, -276, -365, -454, -543?\n\"Answer: -89*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296073 is divided by 318.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*sqrt(110)*-3 + 3*(sqrt(110) + sqrt(110)*1 + sqrt(110) + sqrt(110))))\/(sqrt(160)*2*-5 + ((sqrt(300)*-1)\/sqrt(6))\/sqrt(5)))**2.\nAnswer: 128304\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + (1 - -2 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312298253 to the power of 1\/2, to the nearest integer?\nAnswer: 57553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7964539*q**4 - 4*q**3 + 182085692*q?\nAnswer: 95574468*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/3 - 146*m\/3 - 35072\/3 = 0. Calculate m.\nAnswer: -128, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94841.\nAnswer: 94841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a + 37 - 37.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 - (-4)\/1 - (-1728 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + (-29 - -2) - (9 + -3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-298)\/21)\/(200\/75). Let h = -1691\/52 - -348\/13. Let v = h - m. What is the closest to -3 in 5, v, 1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (8 + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 + t**2 - 1. Let f be ((-40)\/(-6))\/(1\/(-3)). Let k be (-2)\/5 + (-28)\/f. Give g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/2 + 1522*g - 2. Let b(k) = 373*k**2. What is r(b(t))?\nAnswer: -834774*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28878.19 hours in milliseconds?\nAnswer: 103961484000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -862, 509, 5 in ascending order.\nAnswer: -862, 0, 2, 5, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3997621, 3997613, 3997609, 3997609, 3997613, 3997621?\nAnswer: 3997633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by -1 + 15 + (-9)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 31 = -3*r, 2679*g - 2676*g + 48 = 5*r for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(128))*6)**2 + (-2 + sqrt(288) + sqrt(4)\/(sqrt(6)\/sqrt(3)))*3.\nAnswer: 4647*sqrt(2) + 19002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0998 rounded to 1 decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*l**5 + 40878*l**4 + 2*l**2 - 1554*l + 19 wrt l.\nAnswer: 360*l**2 + 981072*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2 + 2 - 1. Suppose 112 = 4*c - 6*x + 2*x, -2*x + 4 = i. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 + -102. Suppose o = -2*i - 8, -9*s - 77 = -12*s - 4*i. What is the remainder when s is divided by (-4 + -34)*2\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 1. Let a(t) = t**2 + 6*t + 12. Let m be a(-3). Let h(b) = 5*b**m + 5*b**3 + 1 + 9*b**2 - 4 - 11*b**3. Give 9*f(z) + 2*h(z).\nAnswer: -2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308778 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -643285 + 937442. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-40))\/(27*10\/1620*(-3)\/(-1))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = -163 + 2103. Let o = -98 + v. Let g(x) = -x - 1. Let w(j) = 6*j + 3. Give o*w(a) - 2*g(a).\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1175 - -830. Let i = r - -345.000418. What is i rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/7, 5, -8 in increasing order.\nAnswer: -8, -1\/7, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11508, 23014, 34520, 46026, 57532, 69038?\nAnswer: 80544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1664 and 137\/3277728.\nAnswer: 170441856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1366609\/70 - 19524. What is the common denominator of v and 5 + (-737)\/385 + 3\/(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Suppose 3*d = v - 2655, -7965 = -3*v + 7*d - 11*d. Let p(u) = 85*u - v + 2655. Determine k(p(r)).\nAnswer: -170*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 440968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkvovtk. What is prob of sequence vt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.189 + 0.129. Let t = r + 0.06. Let o = -7\/13 - -1\/26. What is the nearest to 2\/5 in o, t, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3240) - (sqrt(3240) - (1*sqrt(3240) + sqrt(3240))))\/sqrt(2)*4)\/((sqrt(110) + (-1*sqrt(110) - sqrt(110))*2)\/(sqrt(44)\/sqrt(36))).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {q: 1, w: 5, c: 4, a: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4\/9, -1\/8, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7)*(-21 + 20). Which is the closest to -0.2? (a) o (b) -2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/522 + 103853\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05819 rounded to 3 dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -1535074.\nAnswer: -1228059.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 5 + (9 - 0) + 18.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(108)\/sqrt(81)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17 - 6 + 26*l + 8*l - 7*l. Let f be h(-9). Let b = -154 - f. Is b a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-4)))\/(v*(v**(2\/5)*v)\/v))\/(v**(2\/21)\/((v*v*v*(v**(-1)\/v*v)\/v)\/v)))**(1\/32) assuming v is positive.\nAnswer: v**(263\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -7, 3 in increasing order.\nAnswer: -7, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0*t - 3*t - 1)*(-70 + 339 - 59).\nAnswer: -630*t - 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3510 and 54.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13455 and 212589.\nAnswer: 1062945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106 times -4?\nAnswer: 0.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(1\/4). Let m be -1*14\/6 + n. Let l = 9 + -5. What is the second biggest value in m, -3\/2, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 663\nAnswer: 33.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**5 + 4*t**5 + 0*t**5)*(-4 + 5 + 1)*(-528 + 61 - 741).\nAnswer: -2416*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.16, -5\/2, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:56 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712655496?\nAnswer: 2, 214081937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 128230 and 0.02?\nAnswer: 128229.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6966 + 6668. Does j = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 5, u: 3}. What is prob of picking 1 q and 3 u?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5, -y = 5*a - 4*a - 5. Suppose -a*n + 499 = -1019. Let c = n - -298. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 - 202*h**2 + 738*h + 37. Calculate j(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 125*n - 211*n - 122*n + (-4*n + 2*n + n)*(-2 - 1 + 2).\nAnswer: -207*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k - 79 + 331 = 0. Let z(o) = -o**2 + 15*o + 38. What is the tens digit of z(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*i = -a - 16, -3*i = 2*a + 2. Let w(q) = q + 3. Let b be w(0). Solve -v - 12 = -4*d + b*v, -4*d + a*v = -12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-787)\/(-13379)*(-136)\/(-44).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-14 - -8 - (-2 + -53)) - 8 - -4?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16d + -6d?\nAnswer: -1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -979 divided by -448.\nAnswer: 979\/448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -61. Solve -4*n = 4*h + 8, -4*n = 2*h - x - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**6\/120 - z**5\/12 + z**4\/6 + z**3\/6 - 4*z**2. Let d be a(-6). Suppose 0 = -i + 41 - d. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let t be b(-3). Let d = 4 + t. Solve d = -2*k + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 12*l**2 + 4*l - 3. Let r be f(7). Let q be ((-9)\/(-2) + -4)*-4. Let v be (r\/q + 0)\/(-1). Calculate the greatest common factor of v and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - ((8 - 5) + 2)) + 34 + -44\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 5\/2*a**2 - 47 - 3*a. Let n(r) = 5*r - 2. What is -2*d(b) + 3*n(b)?\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 55393770 divided by -18464590?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760691732.\nAnswer: 2, 37, 263, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8352 - 2334 = 624*v + 3042 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174912.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c**2. Let y(s) = 3*s**2 - 5*s - 5. Let b(n) = 4*n**2 - 6*n - 6. Let i(d) = 5*b(d) - 6*y(d). Determine i(o(k)).\nAnswer: 128*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from mzizozooixiooimoz?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 620814 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: Factor 3\/2*c**2 + 3\/2*c**3 + 0 + 1\/2*c**4 + 1\/2*c.\nAnswer: c*(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2031 - 2030.5. Which is the biggest value? (a) -0.2 (b) v (c) 3\/5 (d) 149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 585062607?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 1. Let g(q) = -9 + 2 - 1 - 11*q + 13 - 14*q. What is 4*d(p) - g(p)?\nAnswer: 21*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + v. Let o(f) = 3*f**2 + 67*f + 22. Let x be o(-22). Give p(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4973?\nAnswer: 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 2, -2, -24 in increasing order.\nAnswer: -24, -2, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217013 - 63232 = -2669*r for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2. Let j(i) = -11*i - 8. Let f(o) = -5*o - 4. Let n(q) = -13*f(q) + 6*j(q). Suppose -7 - 14 = -3*z. Let v(t) = z*r(t) + 3*n(t). Give v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 2. Let t be 0*2\/(j - 2). Suppose t = 2*q - 5*q + 96. What is the greatest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -72, 18\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i**2 + 6*i + 6. Let r(p) = -11*p**2 + 11*p - 15. Let o(w) = -5*w**2 + 5*w - 7. Let t(n) = 13*o(n) - 6*r(n). Calculate b(j) + 6*t(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -115 - ((-6 - (-4 - 10 - (1 + -13))) + 0).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11847077 and 3476?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1782 and 486?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 217*n + 23764. Calculate s(-119).\nAnswer: -2059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 - 29*x**2\/4 - 61*x\/4 - 31\/4.\nAnswer: (x - 31)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxhhxhhhxhhhxxj. Give prob of sequence hxjh.\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 54. Let u be d + 0\/((-5)\/(15\/(-6))). Let x(h) = -13*h - 15. Let q(l) = 6*l + 7. Let a(v) = u*q(v) - 2*x(v). Differentiate a(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57402 bigger than -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 59267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 37*s - 39*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60570505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1376 by 253330.\nAnswer: -688\/126665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 62. Suppose 5*u - 12 = d*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8353663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -22. Let b = 0.04 - 0.04. What is the nearest to b in -1\/8, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 4*b - 10, -908*m + 894*m - 28 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*s - 4*s**2 - 2*s**3 + 3*s**4 + 65*s to the form d*s**3 + x*s**2 + r*s + g + b*s**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 7*c**6\/120 - c**3\/6 + c**2\/2 + 6*c. Let w(n) be the first derivative of q(n). Differentiate w(u) wrt u.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*b*t + a**2*b - 5*a*b*t**2 - 9*b*t**2 + 6*b + t**2 wrt a.\nAnswer: -6*a*b*t + 2*a*b - 5*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/95)\/(6142\/3154)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 26.77?\nAnswer: 240.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o**2 + 32*o - 6. Let r be j(4). Let h(b) = b**3 + 5*b**2 - 6*b - 5. Give h(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6968*h**4 - 7036*h**2.\nAnswer: 167232*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -80*m**2 - 80*m + 160. Let u(k) = k - 2. What is -n(p) - 80*u(p)?\nAnswer: 80*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 3. Let a be w(-5). Let k(f) = -8*f**3 - f**2 - f - 1. Let o be k(a). Let j = -51 - o. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -3*p**6\/40 - 3*p**5\/10 + 7*p**4\/12 + p**3\/6 - 154*p**2. What is the tens digit of a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12051, -46963, -104753, -185421, -288967?\nAnswer: -415391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774 is divided by 632?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - 13. Let f = m + 47. Factor 10\/3*y + 2\/3*y**f + 4\/3 + 8\/3*y**2.\nAnswer: 2*(y + 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13839?\nAnswer: 3, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163\/3 - 55. Let z = -16 + 16. Which is the closest to z? (a) -0.2 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 + 129 = 3*g. Let i = 210 - g. What is the greatest common factor of i and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-69010)\/(-14) + (-12 - 492\/(-42))?\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1442\/178977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 10, -4 in descending order.\nAnswer: 10, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1094*r - 1 = -1095*r - c, 3*r - 7 = -c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5*6\/(-90))\/(5\/3). Let i = -0.71 - -0.21. Let g be 2\/(-2) + 4\/6. Which is the third smallest value? (a) q (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**2 + 34*q - 8. Let c(b) = -26*b**2 - 98*b + 25. Let p(d) = -3*c(d) - 8*y(d). What is p(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129 and 1763?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4743473022 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 0, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 120060.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.773 - 16.773. What is the third smallest value in -1.2, 3, o, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119) - sqrt(119)*-1))\/(sqrt(63)*1).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 169*b**3 + 2 + 162*b**3 + 14*b**4 - 11*b**4 as p*b**2 + z*b**3 + h*b + c*b**4 + j and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.3 + 33.303706. Round g to four dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 3, w: 1, m: 6}. Give prob of picking 1 a and 1 k.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -40*l + 9. Let a be d(-5). Calculate the highest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -36. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1103 + 1554. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1380 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + o + 89*o**2 - 88*o**2 - 2*o)*(-2 - o + 2).\nAnswer: -o**3 + o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 711?\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from bbbvbbvbvbbbbbbbbbbv.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57786099 rounded to four decimal places?\nAnswer: -0.5779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76, -98, -120?\n\"Answer: -22*v - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452, 1842, 4306, 7790, 12240, 17602, 23822?\nAnswer: 30846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 542327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-7776)\/(-48))\/(-18)*(-1)\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69358\/(-4*((-42)\/60 - (-2)\/10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3442248, 6884491, 10326734, 13768977?\n\"Answer: 3442243*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*p - 2*b - 3, 2*b + 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107392967 and 3124.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/4 - p**3\/6 + 2*p. Let y be d(1). Is 111\/2*y\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031 is divided by 98.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4600 is divided by 55?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -52*g - 117. Let j be b(-5). Let y be 7*j\/154 - (-2)\/(-1). What is z in 3\/4*z**3 + 9\/2*z**2 - y*z**4 - 3\/4*z + 0 = 0?\nAnswer: -1, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:13 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 + 6*h. Let b = -4 - -8. Let k be n(b). Let z = k + 112. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/46842 and -151\/46842.\nAnswer: 46842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70367 = -y - 70345 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/((w\/w**6)\/w*w))\/w)\/w)\/(w*w**(1\/5))*(w\/w**(-2))**46 assuming w is positive.\nAnswer: w**(709\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 + 8 = -3*w, l - 4*w + 10 = 0. Let m = 20 - l. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 4*n - 4*n - 3*n + 3*n + 2*n**2 + n**2 + 5*n - 5*n + (-2*n + n + 3*n)*(0*n - 2*n + 3*n) - 4 + 4 - n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-49))\/(1114\/14). Let g = 6143\/4456 - u. Calculate the common denominator of 39\/4 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14297*f**2 - 44734*f + 89475*f - 44741*f.\nAnswer: 14297*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12004 + 16836. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/(4 + (-1)\/((-54)\/(-210))). Let s(w) = 6 + 6 + 3*w + w. Let d be s(f). Calculate the greatest common factor of d and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5 + 10*x**4 - 37*x**3 + 64*x**2 - 52*x + 16 = 0. What is x?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**4 - 26*k**3 + 44*k**2 + 124*k - 176. Let i(l) = 11*l**4 - 51*l**3 + 88*l**2 + 247*l - 344. Let w(m) = -4*i(m) + 7*s(m). Factor w(t).\nAnswer: -2*(t - 6)**2*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 1*(2 - 8). Let x = 10 - d. Solve 5*c = 2*w, x*c + 0*c = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -49*l**3\/15 - 14*l**2\/5 - 4*l\/5 + 4. Factor c(x).\nAnswer: -(7*x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 5*x**2 + 2*x + 24. Let c be n(-4). Suppose c = 3*j - 538 - 362. What is the highest common factor of j and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 3*n - 0*n. Let x = n + 8. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/2742180 and -51\/112.\nAnswer: 10968720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576251*m + m**3 - 2*m**3 + 576221*m - 1152472*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 2:05 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/6*1*(-12)\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -135 or 17.67252?\nAnswer: 17.67252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/8)\/((-8)\/32) - -5. Let b(h) = h**2 + 5*h - 30. Let c be b(p). Suppose c = 3*d - 3. Solve d*r + 6 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 4 = -3*a + 8*d, 5*a = 2*d - 12. Let z(t) = t**3 + 4*t**2 - t - 8. What is z(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -315*k**4 + 11*k**2 + 22*k + 9035. Let f(x) = -78*x**4 + 3*x**2 + 6*x + 2259. Let o(a) = -11*f(a) + 3*n(a). Find the first derivative of o(p) wrt p.\nAnswer: -348*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 19 - (1 - 1 - (113 - 106))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 36. Let d = -0.47 - -0.67. Which is the nearest to d? (a) -2\/3 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-24)\/7 + 8\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57, 128, 297, 606, 1097?\n\"Answer: 7*q**3 + 7*q**2 + q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3 + 16*x + 4 - 104*x + 2. Is f(-3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5009 take away -89.109?\nAnswer: -4919.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 11:47 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2 + -2 + sqrt(171)*2.\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1497881+2\nAnswer: 1497883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203752749.\nAnswer: 3, 61, 1113403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339707323?\nAnswer: 37, 9181279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -3\/4 (c) -12\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g + 129 + 111 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1750, 1752, 1756, 1762, 1770?\n\"Answer: c**2 - c + 1750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 2\/35, -5, 5, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 164 - 160 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, n: 7, r: 5}. What is prob of picking 1 u and 3 r?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*n**2 + 94*n**2 + 5*n**3 + 134*n**2 + 138*n**2 + 135*n**2 + 137*n**2.\nAnswer: 5*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1095, 9350, 31783, 75492, 147575, 255130?\nAnswer: 405255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 923, 3062, 7225, 14084, 24311, 38578?\nAnswer: 57557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 4. Let z be (-1)\/(20\/(-88)) + 9\/15. Suppose 0 = 2*q - 2*c + z*c + 35, -c = 5. Calculate o(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5280)\/420 - (-1 - 1)) + 11. What is the third smallest value in 2\/21, 0.2, q, -15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.034 and -8.\nAnswer: 0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2632466*d**2*n*u + 2*d**2*u + 154*d*n*u - d*n + 2*d*u - 94*d - 2*n*u + 4*u wrt d.\nAnswer: -5264932*n*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 4*m = -40. Let f(z) be the second derivative of -z + z**2 + 0 + 0*z**3 + 0*z**m + 3\/20*z**5. What is the derivative of f(d) wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.76214 hours in microseconds?\nAnswer: 218743704000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*3\/(-2)*2. Solve s*z = 2*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 5, 17654.\nAnswer: -145, 5, 17654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/(-10) - (-1025 - 6\/6) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*z - 3*j, 4 = z + 13*j - 16*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 11*v + 5. Calculate the least common multiple of n(-5) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 3:19 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Suppose -2*w - 5*u = -57, 2*w + u - 57 = -r. Let t = w + -10. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 2*l**2 + 2*l + 2. Let q be c(-2). Let m(w) = 3*w**3 - 3*w - 2. Let h be m(q). Let j = h - -33. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - -41. Let g be 0\/(-3 - (1 - 3)). Let l be g*1\/(-4) - -84. Calculate the highest common divisor of y and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 11*x**2 + 10*x + 5. Let q be s(10). Suppose -q*y + 3*k + 783 = 0, -2*y + 4*y = 4*k + 302. Is y a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(64\/((-12544)\/(-126)))*4\/7.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 75. Let a(z) = -10*z**3 + 10*z + 2. Let l be a(s). Suppose -39*c = -40*c + l. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:43 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*u - 11 = 0, 4 = 2*m - 3*u + 2*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 73*x**2 + 520*x + 1109. Determine l(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-7070))\/((18\/(-90))\/((-2)\/4))?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 273465817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5768 divided by -2.\nAnswer: -2884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + t - 2*i + 1, 0 = 2*t - 4*i - 10. Suppose 0 = -a - 2 + t. Let o(d) = -11*d**3 - d**2 + d - 1. Calculate o(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttllllllnfnllll. What is prob of picking 1 n, 1 l, and 2 t?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 15, 10, -5, -36, -89, -170, -285?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69 (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97118 or -97120?\nAnswer: -97120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 + 26*q**2 - 29*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 6:19 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - -4. Let r = -22 + 14. Let t = r + 13. Solve -t*d + 0 = b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 2*h - 392 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -439*-13\nAnswer: 5707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008624 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 152.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/16)\/(20*(-16)\/(-256))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18636 is divided by 582?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 31 + 1 = 0. Suppose -2*y = n - 11. Suppose -2*h + 5*w + 14 = 0, 0 = y*h + w + 2*w. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:54 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57407.55 minutes to hours.\nAnswer: 956.7925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = q - 33, -2*b = -5*q + 101 + 25. Let f = q + -2. What is the highest common factor of 55 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -200859146406 and 498.\nAnswer: -200859145908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 80. Let k be (-4 + -2 - 1) + 8. Calculate the highest common factor of f and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + c. Let w(m) = 31*m**2 - 120*m**2 - 32 + 87*m**2. Give d(w(n)).\nAnswer: 8*n**4 + 254*n**2 + 2016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1260261681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/3 - 20*x**2 + 18*x. Let u be o(-22). Suppose 3*k - 34 - 141 = -2*d, u*k + 2*d = 234. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 15, 44, 83, 132?\n\"Answer: 5*t**2 + 4*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -431\/1321 or -1?\nAnswer: -431\/1321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741, 854, 895, 828, 617, 226, -381?\nAnswer: -1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(252))**2*-2.\nAnswer: -522 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**3 + 905*j**2 + 858065*j - 204049085 = 0?\nAnswer: -433, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {x: 1, e: 1, a: 3, h: 3, w: 2, u: 8}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 - 95 + 383 = 22*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 + 102*u + 20. What is y(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(2\/35)\/v)**27\/(v**(2\/27)*v**(-18)*v*v) assuming v is positive.\nAnswer: v**(42023\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -t + 1493, 0*t - 4*t - 1096 = -3*l. Suppose -3*w = -l + 36. Let n = -23 + w. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 3)\/((-1)\/(-3)). Suppose a = s*w - 13, -5*w + 5*a + 21 = -w. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 69*u + 276. Calculate f(-40).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 3:21 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/3)*w**(-2\/7))**(-45)\/(w*w\/(w\/(w**(2\/5)\/w*w))*w*w*((w\/w**(4\/5))\/w)\/w*(w**(-1)\/w*w)**25) assuming w is positive.\nAnswer: w**(219\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 525.422 - 525. Round u to two dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 18 = -k. Let j(t) = -4*t + k*t - 2*t + t. Let u(f) = -4*f**2. Give u(j(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 2*z**2 + 5*z + 3. Suppose -3*k + 10 = -0*k - l, -5*l + 20 = -k. Let u(w) = w**3 + 3*w**2 + 7*w + 4. Calculate k*u(i) - 7*p(i).\nAnswer: -2*i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 16*o**2 - 8*o - 11. Is y(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 811 - 804. Solve 6*p + t = -23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 61811722\/354 + 2\/(-4). Let b = 174609 - q. Let g = 3\/59 + b. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -4*d**2 - 2*d**6 + 14*d**2 - 10*d**4 + 5 - 8*d**5 + 0*d**2 + 8*d. Suppose s(y) = 0. Calculate y.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -226560584451 and 4997.\nAnswer: -226560579454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 c when three letters picked without replacement from {p: 4, n: 2, y: 2, x: 2, c: 1, z: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -270, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.075, 2\/21, 0.9, -4?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 - (-34 + 6 + 2 + -9 + -1))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(5 + -6)*(8 + -7)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 989 - 568. What are the prime factors of u?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.027 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -443020906.0000071 - -443021028. Let t = -122 + p. What is t rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*j, 4*v - 3*j = 25 + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/(q*(((q*q*q**19*q*q*q)\/q)\/q)\/q*q)))\/(q\/q**21))\/(q*q\/(q\/(q\/q**(-5)))*q**(1\/12)) assuming q is positive.\nAnswer: q**(455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 1412. Calculate the common denominator of a\/(-240) - 1\/5 and (3 - 249\/(-2))\/(-33).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0*l + 1\/30*l**5 - 1\/6*l**4 + 5*l**2 + 1\/120*l**6 + 0 - 1\/2*l**3. Determine v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - 3. Let b = u - 4. Let o(h) = h**2 - 2*h + 2. Let y(x) = -5*x**2 + 9*x - 9. Calculate b*o(s) - 4*y(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 876.1855mm?\nAnswer: 0.0008761855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6657*a + 35109*a**5 - 3266*a - 3391*a + 5*a**5 + a**5 - 5*a**5 + (-4*a - 4*a + 6*a)*(a**4 - 2*a**4 - a**4).\nAnswer: 35114*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 6*l**2 + 9*l - 7. Let y be v(7). Suppose -63 - y = -5*q. Calculate the lowest common multiple of q and (13\/((-364)\/(-176)))\/(4\/14).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79492757999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + 5*i + 4. Let c be n(-1). Suppose -c*m + 1 = -4*k - 1, k + 9 = 5*m. Solve 4*p + k = -v, 5*v = -p + 2*p - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, -0.5, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000964441 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-60))\/((-2)\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6328707, -12657390, -18986039, -25314636, -31643163, -37971602?\n\"Answer: 3*x**3 - x**2 - 6328701*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 - 7*j - 7. Let a(x) = -x**2 - 3*x - 3. Let m(b) = -7*a(b) + 3*f(b). Let n(r) = 7*r. Give m(n(w)).\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**3 + 8*h**3 + 2*h**3.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 53*k**2 + 153*k + 389. Give m(48).\nAnswer: -3787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3*0.19.\nAnswer: 0.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*y - 334238 - 672009, y - 251552 = -3*w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -14*c. Let g(i) = 22936*i. Determine d(g(l)).\nAnswer: -321104*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 6, -2, 70 in increasing order.\nAnswer: -6, -2, 6, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 955552 divided by -13\nAnswer: -73504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-64)\/32)\/((-3)\/(-3)))\/(1*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 28. Let g be i(24). Let h be g\/42 + 52\/91. Which is bigger: h or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2709 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 12*f**2 - 18*f + 20. Let u be j(-10). Suppose 0 = -3*h + 4*q - 16, -2*q + 8 = -2*h - u*q. Solve 4*k - 7*k - 3 = h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001400424 to five dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54.7 - 57. Let m = -0.3 - k. Which is the nearest to m? (a) -5 (b) 7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyp when three letters picked without replacement from {p: 2, u: 10, y: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/8753017 and 111\/12504310?\nAnswer: 87530170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 12:10 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z**2 + 57. Let n(m) = 2*m. Determine s(n(t)).\nAnswer: -36*t**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*y + 288*y - 521*y - 3451 = 0 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 8:23 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.0464 (b) -2 (c) 1199 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2364, 4725, 7086, 9447, 11808?\n\"Answer: 2361*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 34228*d + 239596. What is b(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*r + 4. Suppose -4*l + 3*d = -12, 3*l - l - r*d - 6 = 0. Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/66 and 17\/67364?\nAnswer: 202092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 8*v = -4*b + 23 + 5, 12*b = -5*v + 84 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422 - 96. Is i a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -773875, -1547625, -2321375?\n\"Answer: -773750*y - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 + s**3 + 3599*s**2 + 2*s - 155620 wrt s?\nAnswer: 24*s**2 + 6*s + 7198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21193511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (7 - 31) + 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 147 = 53*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0)*(6 + -5). Let n = f + 3. Let z be -3 + (114\/21)\/n. Do 3 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 26588 = 2*f, -5*z + 4*f + 35813 = -30630. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -672\/13 or -52?\nAnswer: -672\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9545, -38217, -86003, -152903, -238917, -344045, -468287?\nAnswer: -611643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-2))\/((-9)\/51539130). Suppose -i = 3*l + 17426585 - p, 0 = -i + 2*l - 11699990. What is i rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*1\/4*8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*u = 3*u - 672 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 2)\/(9\/12). Suppose 0*u - u - 10 = -2*s, 3*s + u = 10. Suppose -m + 9 = -2*r + 2, 16 = s*m - 5*r. Sort m, y, -2.\nAnswer: -2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2371669 from 529.6751.\nAnswer: 2372198.6751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 times -31?\nAnswer: -30845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.3, 4.141 in decreasing order.\nAnswer: 6, 4.141, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544 and 22202.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -29, 2125 in decreasing order.\nAnswer: 2125, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5528 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, a: 3, d: 9}. What is prob of sequence daa?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from bbwbdad.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/((-51)\/(-136)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 6*k**2 + 0*k**2 - 3*k**2 + k**2 + 4*k**2 + 2*k**2 + 5 - 5 + (-2*k + 3 - 3)*(0 - 2*k + 0) + 2*k**2 + 3*k**2 - 3*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxxeexkkkxeeeekee. What is prob of picking 2 k and 2 e?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - (1 + -1))*1. What is the smallest value in -2, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y - 2. Let m(u) = u**2 - 4 + 1 + 15*u - 11*u + 3*u. Give -4*m(l) + 5*r(l).\nAnswer: -4*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and 79\/2206.\nAnswer: 6618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2276 by 10.\nAnswer: 1138\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.6 (c) -1\/4 (d) 449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19982740 to the power of 1\/2, to the nearest integer?\nAnswer: 4470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 5 + (-66)\/27. What is the closest to -1 in y, -0.5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91246114 to the power of 1\/2, to the nearest integer?\nAnswer: 9552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*m - 521*m + 700 = -277*m - 13928 for m.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 10*a + 18. Let k be m(-10). Suppose -k*f + 14*f + 12 = 0. Solve 4*i = -v - f, -6*v + v + 29 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -96337.\nAnswer: -6\/96337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 6\/7, 3\/7, 1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 9*n**2 + 4*n - 26. Let f be 0 - 3 - (-100 - 2)\/(-2). Let g = 46 + f. Let q be h(g). Let u(m) = m**2 - 8*m + 8. Determine u(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-48)*2)\/1. Which is the third smallest value? (a) 8 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 193b?\nAnswer: -1940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let g(z) = 1367*z. What is d(g(k))?\nAnswer: 1367*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 893 - 865 = -4*s, -8*r + 17 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -901522 = 43*x - 1016324 - 2582072. List the prime factors of x.\nAnswer: 2, 3, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 27. Let q be (273\/m - 4) + 6\/9. Which is smaller: q or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/300719 != 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37713707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -638 * 0.548\nAnswer: -349.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**3 + 2*u**2 - 2*u. Let n(c) = 3*c - 26*c**2 + 25*c**2 - 5*c + 3*c. What is -2*n(z) - x(z)?\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 715*b**2 - 26*b - 2. Let f(l) = 6*l. Give t(f(h)).\nAnswer: 25740*h**2 - 156*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37630869 and 92527.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/221, 3\/2, 14, -1\/10, 4\/9 in descending order.\nAnswer: 14, 3\/2, 4\/9, 3\/221, -1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5203, -10404, -15607, -20812, -26019, -31228, -36439?\nAnswer: -41652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73630 is divided by 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 5187526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 117. Suppose -3*u + i = -69, -5*u + 0*i + i = -d. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:33 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -3*z**4\/8 + 10*z**2 - 2*z. Let i(c) = 7*c. Give i(h(g)).\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-13)*d*d)**48 assuming d is positive.\nAnswer: d**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 18*j + 4. Let l be s(18). What is the thousands digit of 2364\/(16\/(32\/l))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*15\/(-100)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:51 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 28. What is the common denominator of -95\/4 and 10\/(-15)*15\/f - 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 5:41 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, 0.4, 4, -39?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l**(-3))**(-4\/5)*(l*l*l**(6\/5)*l*l)\/(l**1\/l)*(l**(2\/11)\/l)\/((l*l**(-6\/7)*l)\/l) assuming l is positive.\nAnswer: l**(388\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-2)\/4 - (4 + -161). Suppose 4*g - 5*g = -k. Let l be ((-44)\/g)\/(30\/(-14) + 0). Is l greater than 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111101001010 (base 2) in base 5?\nAnswer: -224020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 2, f: 2, a: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 82.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1 + 6 - 1 - 2. Let a(p) = -p - 2. Let v(z) = -2*a(z) - 3*j(z). Let l(s) = -s. Let c be l(-5). Give v(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 22*x**2 - 14*x + 13. Calculate a(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 6*w - 6. Let q be n(-5). Suppose 0 = 4*p + t + 117 + 219, -t = 4. Let k = p - -163\/2. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s. Suppose -5*f + 199 + 21 = s. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*n + 187*n + 103*n + 13*n)*(-10*n + 9*n - 16*n).\nAnswer: -6800*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -1 - (-12)\/2. Let r(w) = w**3 + 218*w**2 - 219*w + 15. Let h be r(-219). Are s and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89 + 19998?\nAnswer: 1990e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(-d + 0*d + 2*d + (2*d - 2*d + 2*d)*(-5 - 2 + 5) + 0*d + 2*d - 3*d) in the form a + w*d and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, y: 6, w: 4}. What is prob of sequence yp?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 16*l**3 - 9*l**2 - 21*l + 9. Let u(i) = 8*i**3 - 4*i**2 - 10*i + 4. Let j(k) = -4*t(k) + 9*u(k). Find the second derivative of j(w) wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = -0. Let h be i\/(-6) + (-165)\/(-10). Let a(l) = 2*l**2 - 2*l - 4. Let d be a(3). Calculate the highest common divisor of d and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520*w - 20 = 516*w. Solve -3*n - 2*n - 5*y = -w, 26 = -2*n + 5*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-4)\/52 + 0). Let r = 34 + d. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*u**2 + 14 + 102*u**2 + u - 14.\nAnswer: 736*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*x - 1081961 + 3577136. What are the prime factors of x?\nAnswer: 3, 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233846952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i + 15 = -27 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 16, 3*k - k + 8 = 2*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/14)\/((-12)\/28). Suppose 279*p = 249*p + 90. Which is the third smallest value? (a) -3.4 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(50) + 5 + sqrt(2450) - (2 + (sqrt(242) + -1 - sqrt(16)\/sqrt(72))))**2*5.\nAnswer: 1760*sqrt(2) + 79060\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, m: 5, p: 7}. Give prob of sequence jmj.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6.4. Let l(x) = 2*x + 0*x - x. Let b be l(-1). Sort f, -4, b in descending order.\nAnswer: f, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137200?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25161 + -20?\nAnswer: -25211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -925*u - 157 wrt u?\nAnswer: -925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h)*(-2 - 9 + 7)*(-2*h**3 + 2*h**3 + 3*h**4).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:44 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52093.\nAnswer: 113, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and 191.\nAnswer: 9168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/5)*i**(4\/9)*i*i*i\/i**3*i**(6\/11)\/i assuming i is positive.\nAnswer: i**(-401\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = -p + 312. Let z(o) = 4*o - o**3 + 0*o**2 - 3 + 2 + 2*o**2. What is the remainder when p is divided by z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 - 2*o + 6. Let s(c) = 5*c**2 - 4*c + 11 - 4*c + 5*c**2 + 4*c. Let h(l) = -6*s(l) + 11*t(l). What is the second derivative of h(k) wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9d52 (base 14) to base 7\nAnswer: -142432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -538*s + 733?\nAnswer: -538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 274*n + 160*n = -112*n + 4, 20 = 5*c + 2*n for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -52, 74071 in descending order.\nAnswer: 74071, 1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 - 1. Let x be -2 + (0 - (1 + -3)). Let t be j(x). Let v(n) = 5*n. Determine v(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 71641.6839314 and -18.\nAnswer: 71623.6839314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4, r + r = -3*f - 10. Let o be 8\/r*7\/14. Let u = 80\/7 + -12. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 + 498*i**3 + 110*i - 5 wrt i?\nAnswer: -40*i**3 + 2988*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*a - 17, 4*b - 16 = -0*a - a. Let c(f) be the first derivative of 3*f - 2*f**3 - 1\/4*f**4 + 50 - 5\/2*f**2. What is c(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 q when three letters picked without replacement from nnqnqqqpqnqnnn?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*t + 127 + 98 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5088 is divided by 137?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11 - 24 = 3*r, 0 = 5*v - 4*r - 131. What is the remainder when 85 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5 + 27 = -0*q - 4*z, -48 = 4*q + 9*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-24)\/(-63) + 20 + -17\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 140 = 189. Let y(o) = -9*o - 45. Let g be y(-6). Let s(c) = -2*c + 5 - g + 5 - 2*c. Let i(h) = -5*h + 1. Determine k*s(t) + 6*i(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, 137, -3, -30.\nAnswer: -30, -3, 1, 14, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(-410)\/(-123)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 3*h**2\/2 - 2*h - 103. What is the remainder when i(14) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 1 = -q + f, -4*q + 3 = 3*f. Solve -n - 4 = q, 2*y + n - 5*n - 22 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 15) to base 4.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s + 9. Suppose 2*d + 5 + 7 = 0. Let n(j) = 5*j - 4. Let q(v) = d*t(v) - 13*n(v). Let u = 465 + -468. What is q(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 177\/(-99)*(-6 - -3) - (-20)\/(-55). Solve 0 = -5*i - q*p + 45, 4*p = -5*i + 27 + 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -469 - -470.784. Let c = 1.8 - k. Let p = -0.015933 + c. What is p rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3196 + -2249. List the prime factors of h.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/4, -3, 1\/8, -0.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3\/4*n**3 + 27\/4*n**2 - 75\/4 - 45\/4*n = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 16}. What is prob of picking 1 y and 3 e?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243 by 8500.\nAnswer: 243\/8500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.624 - -34.262. Which is smaller: 29 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - q**2 + 7*q**2)*(-q - 2*q + q)*(-205 + 205 - 10*q).\nAnswer: 120*q**4 + 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46872164, -46872162, -46872160, -46872158, -46872156, -46872154?\n\"Answer: 2*b - 46872166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9229697 to the nearest integer?\nAnswer: 3038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**3*z**2 - p**3*z + 606*p**2*z**5 + p**2*z - 6*z wrt z.\nAnswer: -4*p**3 + 12120*p**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n**2 + 35*n - 109. Let b(h) = -10*h**2 + 36*h - 123. Let p(q) = 5*b(q) - 6*r(q). Calculate p(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12630 - 303109\/24. Find the common denominator of -32\/5637 and f.\nAnswer: 45096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145484*-2\nAnswer: -290968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 147 from -7824.\nAnswer: -7971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + 30 + -14 + 4 + -21\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**3 + 23 - 23 + 18*r**3.\nAnswer: 33*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -198*f**3 - 9*f**2 - 6*f + 31. List the prime factors of z(-3).\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 3367690. Let r(y) = 119*y + 2. Calculate r(n(d)).\nAnswer: 119*d**2 + 400755112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 6*p**2 - p - 2. Suppose 226 = 8*n + 1034. Let l = 98 + n. What is q(l)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8713849 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/5)*q*q)\/q)**(2\/5)\/((q**6\/q)\/(q*q**4\/q))*(((q*(q\/q**(-2\/7)*q)\/q*q)\/q)**(7\/11))**4 assuming q is positive.\nAnswer: q**(1501\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9351 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104774 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-408)\/544)\/((-10)\/8)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281050 (base 9) in base 8?\nAnswer: -2534521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171\/(-1539)*(-18)\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216593360?\nAnswer: 2, 5, 2707417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*f + 8. Which is greater: f or 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 7*k + 3*m + 311, -969 = 3*k - 3*m. Let j be (-3)\/(24\/k*4). Solve 0 = j*a - 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4703.862mm?\nAnswer: 4703862000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**6*y**(-2\/3)*y assuming y is positive.\nAnswer: y**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twttwwwtwtwltlwt. What is prob of picking 1 w and 2 l?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4)*(-3)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 89*k - 1755. Let j(n) = -n**2 - 8*n - 3. Let g be j(-7). Solve 5*z - 28 + 3 = 0, k = m + g*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*2 - (sqrt(190)\/sqrt(10) + 0))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 5*u + 5. Let p be w(5). Suppose 108 = -54*b + 63*b. Let q be ((-35)\/(-42))\/(2\/b). Solve -j + p*v = -2*j - 11, 5*v + 35 = q*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1303\/3 and 435 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n - n + 14*n)*(2 + 1 - 1)*(-7 - 2 + 14).\nAnswer: 230*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -30*1\/4*(4 + -10). Let n = p + -47. Let l be 0 + 28\/(-1435)*5\/n. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15765568 to the nearest one thousand.\nAnswer: -15766000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -721, 7, 1 in decreasing order.\nAnswer: 7, 1, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8011 - 8005. Solve -h + 15 = -j - v*h, 4*h + 12 = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5217251561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.514464 rounded to one dp?\nAnswer: 46.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 21. Let i(v) = 4*v - 28. Let r(f) = -2*i(f) - 3*y(f). Give r(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -l + 4*l + 8, -5*p - 2*l - 17 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319 and 249371?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24148 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12122101 (base 4) to base 6\nAnswer: -321321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16095 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1089))\/(sqrt(6)\/(sqrt(2)*-2) - sqrt(3)))**2 - (-4 + sqrt(12)*3)*-6.\nAnswer: 36*sqrt(3) + 412\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2957*f = 2683*f + 6302 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6 + z + 14 - 9 - 2*z**3 - 3*z + 4*z**2. Calculate b(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 202152 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c**4 - 51448*c**3 - 188928*c**2 + 532152*c - 291788 = 0.\nAnswer: -17\/3, 1, 4291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/27)\/((-2)\/(-6)). Let j(i) = -22*i**2 + i. Let s be j(z). Calculate the common denominator of 671\/s - 2\/(-5) and 89\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 19\/6 (c) 2\/9 (d) -5 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-16) + (-177)\/(-4). Suppose -17*a + 7 = -q. Calculate the least common multiple of 27 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 12*l**2 - l + 14. Let m be r(12). Suppose -m*j - q = -4*q - 6, -3*q - 21 = 3*j. Which is the nearest to j? (a) -1\/16 (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 8*k**2 + 2*k - 8. Let d be t(8). Let f = -3 + d. Suppose 5*q - 5*o = 405, 1 = -o + f. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 22. Let q = t + 37. Let r be (-4)\/(-6)*(-12)\/q. Is r bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxlxxxxxxxxxxxxxxxx?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 8*m**2 - 7*m + 3. Let b be u(-7). Suppose -5*y - 4*v - v + 105 = 0, -b*y + 53 = v. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 39*a + 2. Let s be z(-2). Let i = 79 + s. Solve -18 = -3*u + i*v, 0 = 2*u - 3*v - 7 - 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 8*l + 5. Let a be i(4). Let z(n) = -n + 1. Let d(o) = 2*o - 3. Let s(c) = a*z(c) - 6*d(c). Suppose 4 = k + 1. What is s(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51124454 (base 8) in base 12?\nAnswer: -3744ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1520 or 14\/19?\nAnswer: -1520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 2:01 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -38 - 0. What is the remainder when y is divided by (-1 - 0)*(0 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1163 + 458*t - 13*t**2 + 5*t**2 + 10*t**2 + 249 wrt t.\nAnswer: 4*t + 458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 4 + 13)*(k**2 + 0 + 0)*(-2*k + k + 3*k) in the form y + d*k + v*k**3 + p*k**2 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.5. Let d be (-4)\/(-18) + 0 + 0. Let s = -0.04 - -0.04. Which is the nearest to d? (a) s (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 16*x - 16. Let p be n(-9). Sort -3, 180, -5, p in ascending order.\nAnswer: -5, -3, p, 180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (227 - 225) + (-2 - (-1 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/6 + 70*c**2\/3 - 245*c\/6 - 65.\nAnswer: -5*(c - 26)*(c - 3)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-126)\/(-10) - 4\/(-10). Let t(m) = -2*m + 6. Let j(b) = -b**2 - 2*b - 3. Let r be j(-2). Let h be t(r). Solve 5*l + h + n = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -10 (b) -2\/3 (c) -0.051 (d) -1 (e) 1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/89, -1\/2, 1.66, 3, -82 in ascending order.\nAnswer: -82, -1\/2, -3\/89, 0, 1.66, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -317763?\nAnswer: 127105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1742663 take away -18?\nAnswer: -1742645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**3*y + 479*v**3 - 694*v**2*y + 3*v**2 wrt v?\nAnswer: 6*y + 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521 (base 9) in base 6?\nAnswer: 12414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000455247842 to 7 dps.\nAnswer: 0.0004552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w + 3*u - 47, w + 12 = 4*u. Let y be -2*9\/6 - -75. What is the highest common divisor of y and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g, 0 = 3*j + 4*g - 93 + 168 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/6 - 106*c\/3 + 5618\/3.\nAnswer: (c - 106)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117284 and 1072778.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 264705 = 2*p - 1604708, -p + 2*x + 670002 = 0. What is p rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**2 - 5*n**3 + 7*n**3 + 17*n + 10*n**2 - 8*n + 2*n**2 to f*n + r*n**2 + s + d*n**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/45)\/p**(1\/11))\/(p\/((p\/p**(3\/5)*p)\/p))**36 assuming p is positive.\nAnswer: p**(-10726\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 2*s**2 - 2.\nAnswer: 2*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*-11*(-4)\/(-8). Suppose 0 = -2*j + 5*g - p, 2 = j + 5*g - 2. Let n be (-221)\/(-39) + 4\/j. Solve 0 = n*d + 4 + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.7668 micrometers to kilometers.\nAnswer: 0.0000000707668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 7*w - 44*w - 1080 = 0 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 9}. Give prob of picking 1 e and 1 c.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11523902.4 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 717008953.00000034 - 717008947. Let t = -6 + z. What is t rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 4:14 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 14*v**2 - 8*v - 4. What is y(-14)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*i + 23, -27 = -n - 129*i + 133*i. Calculate the remainder when 29 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 29 = 19. Let f = g - -7. Put f, 4, -2 in increasing order.\nAnswer: f, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 u when four letters picked without replacement from {i: 4, u: 4, n: 4, x: 3}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 8*c**2 - 139*c - 77. What is o(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152744 and 202824?\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7582a (base 14) to base 9.\nAnswer: -472810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - 3*c - 32. List the prime factors of k(7).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 28*v + 27*v - 118*v + 29*v + 40*v.\nAnswer: 6*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3230*l**4*n**3 - 37*l**4 + 3140*n**3 + 34*n wrt l.\nAnswer: -12920*l**3*n**3 - 148*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-4*-1*sqrt(1331) - sqrt(1331)) + sqrt(1331) + -1 + 5)**2 + (sqrt(1331) + (3 + 1 + sqrt(1331))**2)*5).\nAnswer: 847*sqrt(11) + 28047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-321)\/4)\/((-9)\/24). Let o = -124 + t. Suppose 0 = 3*h - 0*h - o. What is the greatest common factor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*w**2 - 62\/11*w - 204\/11.\nAnswer: 2*(w - 34)*(w + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -4*y. Put y, 19, -3 in increasing order.\nAnswer: -3, y, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + (-5 + -1 + sqrt(80))**2.\nAnswer: -44*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4*v + 2. Let g be i(-6). Suppose r - 20 = 6*r. Let o be r\/g + (-46)\/(-14). Solve -4 = -o*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/47)*c**(1\/7)*c*(c**(-2\/21))**(9\/8) assuming c is positive.\nAnswer: c**(1419\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = o + 13. Suppose -3 = -o*r - 13. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1319 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8705\/7 + 1243. Which is the second smallest value? (a) f (b) -2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3036 and 9054804.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405682 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51141 = -10*m - 73*m - 12022. What is m rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*s + 128 - 200 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25603, -23053, -20503, -17953, -15403?\n\"Answer: 2550*f - 28153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**2 + 6*o - 5. Let u be s(2). Solve d = -u*d - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**2 + 1. Let z(x) = -6*x**2 + x. Let i(r) = -5*b(r) - 6*z(r). What is i(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 0.25 (c) 0.3 (d) 17 (e) -0.6 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4225454 (base 6) to base 15.\nAnswer: 410a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 14*a = -15*a + 143, -2*a = 3*m - 214. What is the lowest common multiple of 56 and m?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 - 6*d - 10. Let g be z(-4). Let t = g + -247\/4. Let r be 2\/5*25\/(-15). Which is the nearest to t? (a) r (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-324)\/(-6)*9\/6. What is the greatest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23490 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2975140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/33*18*(-2)\/3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 27*w**2 + 97*w + 12. Calculate a(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6) - (-5)\/((-10)\/11). Let z = s + 11. Calculate the greatest common divisor of 9 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74981315 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: Find the second derivative of 37*d**2*q**3 + 6*d*q**3 - 7*q**3 wrt d.\nAnswer: 74*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 10\/13, 40\/3, -2\/7, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 minutes after 12:01 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 1 + 1)*(-12 + 55 + 63) + (0*j - 2*j + j)*(-7 - 5 + 5) as h*j + v and give h.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22627*i**3 - 169372 + 169372.\nAnswer: 22627*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 32 = -4*n, -117 = -4*n - 5*i - 82. Solve 1 = 3*w + w - r, -5*r = -w + n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times -1889?\nAnswer: 207.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, t: 4, v: 3, l: 5, s: 3}. What is prob of sequence vvv?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvbbbbvbbvcbbbvv. Give prob of picking 1 b and 2 v.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-34)\/(-8) - 4). Which is greater: v or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-304)\/(-228))\/(328\/21402).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -901*z = -880*z + 21. Which is smaller: z or -58\/67?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b1 (base 13) to base 9.\nAnswer: -3388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 9:48 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1614.3 * 14\nAnswer: 22600.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 731187838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 4*m**2 + 12*m + 17. Let o be n(-7). Let l be -30*(2\/(-3))\/2. Calculate the greatest common divisor of o and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 2. Let y be j(5). Let w = y - -17. Suppose w = -h + 3*n - 2, h - 18 = -h - 5*n. Solve -h*c = -2*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 8*g - 1. Let w(i) = 9*i. Let p(v) = -4*q(v) + 3*w(v). Let k be p(2). Let f(u) = -u**2 + 11*u - 13. Give f(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) -3 (c) -0.4 (d) 95\/18 (e) -4\/5 (f) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bd42 + -7?\nAnswer: -bd49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -216b + -1?\nAnswer: -216c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 4. Let v = 21 + -39. Let z = 3 - v. Let b = z - 15. Give x(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-132)\/(-8)*(-4)\/(-6). Suppose -i*g = -254 - 43. Suppose 72 = -9*k + g*k. Solve 4 + k = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 2*d - 12*d**3 + 7*d**3 + 5*d**3 - 31 + 298*d**2 - 302*d**2. What is r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*c = 185*c + 40. Let w(g) = g**2 - 5*g - 1. Let m be w(4). Put c, m, -4 in ascending order.\nAnswer: c, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 30*m - 93. What is the units digit of t(-37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-2988)*297\/(-77)*(-98)\/84.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 1, f: 2, c: 4, j: 3, z: 1}. What is prob of sequence fjz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1101010101?\nAnswer: 1101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -553446652 - 1?\nAnswer: -553446653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21)*(3\/2)\/(765\/(-7140))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.370576s in milliseconds?\nAnswer: 9370.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 17*p**2 - 1. What is the lowest common multiple of 18 and d(-1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4\/5 (c) 0.172 (d) 1 (e) 1\/2 (f) -89\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1638 = -66*q - 51*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2*(-5)\/(-10)). Which is greater: y or 0.215?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.0441, -1\/265, 39\/4?\nAnswer: -1\/265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*w + 6195, -14*k + 17*k - 18617 = -2*w. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b + 5*c - 26, b = 2*c. Suppose -4*q + 2*g = -1 - 5, -4*g = q + 12. What is the smallest value in q, b, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3735 - -3811. Which is the closest to 1? (a) -0.4 (b) -2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*i = 15789 - 26252 - 69416 - 8529 for i.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-37 + 29 - (0 + 3 + -8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/28386 and -17\/912?\nAnswer: 227088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.83 + -12.83. Let m = -4 - -3. What is the nearest to 1\/3 in m, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141657?\nAnswer: 3, 23, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -37*x + 107. Solve -33 = -4*g - x*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 - 2*h**3)*(5*h - 5*h + 2*h**2) + 2*h**3 - h**5 - 2*h**3.\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 5, z: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 2 - -1*15. Solve a*q + 8 = 13*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqw when three letters picked without replacement from {q: 1, v: 3, w: 2, f: 6}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5738, -5815, -5942, -6119, -6346?\n\"Answer: -25*c**2 - 2*c - 5711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 1 f when three letters picked without replacement from {z: 4, f: 4, t: 1, o: 1, k: 1, c: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a - 1. Let g(j) = -595*j - 221. Let l(f) = -g(f) - 68*h(f). What is the derivative of l(c) wrt c?\nAnswer: 255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + -5*((2*sqrt(363) - sqrt(363)) + -5 + -3)*-2)*-1)**2.\nAnswer: -154440*sqrt(3) + 381456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71389\/4 - -17847. What is the nearest to 0 in -206, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966 and 966.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*w + 123 = -94*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.021, 5, -4, -0.5?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 149 - b**2 + 428*b - 1288*b - 5*b**3 + 434*b + 427*b + b**4 to y*b**4 + d*b + c*b**3 + n + a*b**2 and give n.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000043595 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)*t**(-2\/17)*t**(-18)*t\/t**(14\/5))**11 assuming t is positive.\nAnswer: t**(-56804\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-11)*a*a\/(a**6*a))**(-7))**36 assuming a is positive.\nAnswer: a**4032","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 - 2) - (2 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22236)\/(-1428) - (1 - -14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 540.42 to the nearest 10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*b = -44, -4*b = -2*b - 6. Let i be 10\/(-2)*(-16)\/m. Suppose -4*x + 64 = -2*x. Calculate the highest common divisor of x and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 463*l**4 - 462*l**4 + 5*l**2 - 4*l**3 + 16*l**3 as d*l + m*l**4 + x + z*l**3 + o*l**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -20 + -29 + 33 + -7 + 1 + 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6026*v - 8*v**2 - 3*v**2 + 6026*v.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 777 and 205669569.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137 less than 0.1151?\nAnswer: 0.2521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.7 - 56. What is the fourth biggest value in x, -0.1, 4\/5, 0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.94 - 0.06. Let c = 41 + o. Let y = -118 - -119. What is the closest to c in 1\/5, y, 3\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*n + 18, 4 - 9 = -2*u - n. Suppose g - o = -3*o + u, g - 6 = -4*o. Suppose -6 - 12 = -g*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -46, 12, 5, -5.\nAnswer: -46, -5, -4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - k**2 - k. Let j(v) = -7*v**3 + 6*v**2 + 6*v. Let y(o) = -5 + o + 0 - 1. Let b be y(7). What is b*j(t) + 6*a(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 259 - -215. Let s = y - 474.4. Which is the closest to -0.2? (a) s (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 3. Let y(n) = -5576*n + 12. Determine -y(b) - 4*z(b).\nAnswer: 5572*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -201, -857, -2009, -3705, -5993, -8921, -12537, -16889?\n\"Answer: -8*m**3 - 200*m**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92250, -184501, -276752?\nAnswer: -369003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 divided by 8?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 107, 245, 439, 689, 995?\n\"Answer: 28*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**2 + x**3 - 5 - 5 + 0 - x - 6*x. Is m(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f. Find the common denominator of 39\/10 and 315\/(-50) - (f + -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.11999899 - -1.12. What is d rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 0.3 (c) -0.36457 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from fhhfhffffffhfhff?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*y**2 + 0 + (3 - 3 - 1)*(-4*y - 4*y**2 + 4*y))*(-y - 2*y**3 + 3*y - y).\nAnswer: -2*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6076117 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 - 31*x - 18. Suppose 20 = 3*q - q. What is the lowest common multiple of r(-9) and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.1 (c) 1\/6 (d) 106 (e) -2\/13 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.15861 milligrams to micrograms.\nAnswer: 12158.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568851, -568855, -568887, -568959, -569083?\nAnswer: -569271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -431270 rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biaia. Give prob of sequence ibai.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)*f**(-2\/15))\/(f**(1\/17))**13 assuming f is positive.\nAnswer: f**(-178\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106*g**2*j**2 - g**2*j*w - 2*g*j**2*w - g*j*w + j**2 + 53*w - 9 wrt w.\nAnswer: -g**2*j - 2*g*j**2 - g*j + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.502 - 0.002. Let j = d - 4.5. Which is the biggest value? (a) 0.2 (b) 5\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1701731 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 322\/(-3) + 8 + 52\/(-6). Let v = -82 - c. Is v less than or equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 - 2)*(9*j**3 - 29*j**3 - 25*j**3) as q*j**3 + x + r*j**2 + u*j and give q.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1510498?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-114)\/(-22) - 2\/11. Suppose h + 4*t - 52 = -4*h, a*h + 3*t = 49. Let c = h - -1. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269252125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a**2 - 2*a + 1. Let u be c(1). Let j(w) = w**3 + 10*w**2 + 10*w + 8. Let t be (-6)\/4*(2 + 4). Let d be j(t). Is d at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 3.2 (b) -3 (c) 2 (d) 5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 777*t + 780*t + 777*t - 2336*t. Let v(l) = 13*l + 2. Let u(m) = -7*m - 1. Let h(w) = 11*u(w) + 6*v(w). Determine 2*h(r) + 3*o(r).\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/20 + r**3\/6 + 2*r. Let p(q) = -q**3 + q**2 - 2*q. Let z(k) = -2*b(k) - p(k). Factor z(c).\nAnswer: -c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1768161?\nAnswer: 3, 589387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29115 + -1098005.121\nAnswer: -1127120.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1392)\/702 - (-20)\/4 - 3.\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745 at most as big as 2746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 2*i**2 + 4*i + 6. Let x be s(-4). Suppose 0 = q - 12 + 5. Let f = x - q. Calculate the greatest common factor of 135 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34.2 + 0.8. Let d = c - 34.91. Let t = -0.09 + d. What is the third biggest value in 3, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 + -4?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360675 is divided by 200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 2*h**2 - 3*h + 4*h**2.\nAnswer: 6*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -467*f - 37859. Determine d(-81).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*u**3*v**3 + 9*u**3*v**2 - 20*u**3*v - 8*u*v**3 + 53*v wrt v.\nAnswer: 36*u**3*v + 18*u**3 - 48*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2 - 7. Suppose j*y + 4*c - 10 = 0, 0 = -3*y + 3*c + c + 6. Factor -2*b**4 + 0*b**2 - 3*b**2 + 3*b**2 - 1 - b + b**3 + 3*b**y.\nAnswer: -(b - 1)**2*(b + 1)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 46.97.\nAnswer: 18.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5.3. Let h = -3.4171 - -3.6171. Which is the closest to -0.6? (a) n (b) -2\/17 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97606, 780683, 2634722, 6245197, 12197582, 21077351?\n\"Answer: 97579*t**3 + 7*t**2 + 3*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 11*c - i, -110*c + 111*c = -2*i - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -5 - 21) + -29?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3148923*a**3 - 1431*a**2 - 2666*a + 2.\nAnswer: -18893538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 10*w + 32 = 4*v, -3*w - 4*v = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4275 - -4133. Suppose 2*n = 4*s + 24, -s + 3*n - 3 - 8 = 0. Let c = s - i. What are the prime factors of c?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -469937\nAnswer: -234968.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -324, -537, -750, -963?\n\"Answer: -213*y - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/48 and -67\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100 + -69 + 33 + (10 - 136)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 42186.\nAnswer: 4\/21093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4600*z**2 + 25065*z - 25065*z + 4598*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 2 + 2*n**4 + 0*n**4 - n**3 as z + x*n**4 + i*n**3 + j*n**2 + s*n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7022322230.843 from -6.1.\nAnswer: -7022322236.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*q**4 - 5780*q**3 + 9604*q**2 - 3036*q - 1080 = 0.\nAnswer: -15\/73, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13704, -54828, -123368, -219324, -342696, -493484?\n\"Answer: -13708*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 3. Let s = 11\/52 + -6\/13. Calculate the common denominator of s and j(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11333606 (base 9) to base 5.\nAnswer: 2402421134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (sqrt(112)\/(sqrt(512) + sqrt(512)*2))\/((-1*-1*sqrt(77))\/sqrt(11)).\nAnswer: -1 + sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 7 = -4*m + g, 0 = -3*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + -8b?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 224*j - 289. Let m(p) = -76*p + 96. Let n(x) = -17*m(x) - 6*q(x). Differentiate n(k) with respect to k.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86016 and 1152?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3\/5, -3\/14, -2, 0.18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q. Let k(l) be the third derivative of -l**5\/20 + 19*l**4\/24 - 43*l**2 - 16. Give k(s(x)).\nAnswer: -48*x**2 + 76*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 293 - 14.625826211\nAnswer: 278.374173789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39462 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598778 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 8*q**2 - 9*q + 12. Let c be d(9). Suppose y - c = -2*y. Suppose -z = -2*z + 16. Solve 4*l - y*w = z, 2*w = 5*l + w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -513*r**3 - 8*r**2 - 15*r. Suppose -4*j + 5*h = -5, 0 = -7*j + 3*j - 4*h - 40. Let c be s(j). Round c to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -39\/5, -0.091, 3.1, -0.3?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -372.485 rounded to the nearest integer?\nAnswer: -372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1498 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1953 divided by -93.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/20*2*(-19810)\/2547.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*p, 5*b - 4*p + 7 = -8*p. What is the lowest common multiple of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 12*g**2 - 36*g - 27. Let q(n) = 19*n**3 - 119*n**2 + 31*n - 20. Let c be q(6). Determine x(c).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 0*z**3 - 4*z**2 - 2*z**3. Let v(o) = -o**2 - 1. Suppose 2*i + 0*i + 2 = 0. Let x(j) = i*v(j) + k(j). Calculate x(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 71, 269, 597, 1055, 1643, 2361?\n\"Answer: 65*k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11851.7 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 2231*b**2 - 22408*b - 214656.\nAnswer: (b - 16)*(b + 6)*(b + 4472)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 16\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*w + 2*p, -w - p - 2 = -9. Solve -o - o - w = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 1 + 17. Let z = -6 + q. Solve 4*d = -4*p - 16, 3*d + 13 = -5*p + z*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29368306147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*((-3 - 3 + 4)*(-4 - 3 + 5) + 0 + 1 + 1)*(-3*v**5 - 2*v**5 - 5*v**5).\nAnswer: -180*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/3 + (-8)\/(-12). Suppose -4*c = 4*y - 28, 0 = 3*c - k - 1. Suppose d - 21 = -d - y*v, -2*d + v + 3 = 0. Are 3 and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204021173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 0. Let c(x) = -x - 17. Let w(v) = -v - 11. Let k(o) = -5*c(o) + 8*w(o). Let i be k(r). What is the greatest common factor of i and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79*t**2 + 13*t + 4412?\nAnswer: -158*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10230943, 20461882, 30692819, 40923754?\nAnswer: 51154687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 572450*d**2*o + 2*d*o - 3326*d + o + 2 wrt d.\nAnswer: 1144900*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4 + 6621*z**3 - 14547342*z**2 + 10622766284*z - 21187396152 = 0.\nAnswer: 2, 2054, 2511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -51\/2*q**2 - 24*q + 67. What is the derivative of w(k) wrt k?\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 76653*i + 536610. What is v(-7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -7*l + 5. Let c(j) = -2*j - 3 + l + 3*j. Let n be (12\/20)\/(4\/5 + -1). Calculate c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8530 (b) 3 (c) 0.2 (d) -3 (e) -2\/9 (f) -8\/13 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 11 - (128\/20)\/((-46)\/115)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g - 201. Let z be 8\/(-3) - 4\/(-6). Is (5 + g)\/(1*z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 4:02 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = -30*f - 40. Let m be 74\/20*2 + 4\/f. Solve -18 = 5*o + 5*k + m, 0 = -3*o - k - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/95 + (-7826)\/19. What is the remainder when (-2)\/(8\/v) + 0 is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*n*x**4 - 40*n*x**3 - 27*n*x**2 + n + 239*x - 175 wrt x.\nAnswer: -204*n*x**2 - 240*n*x - 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f**3 + 8*f**2 - 8*f. Let r be (-13)\/(-273)*18*14\/4. Let y(m) = 3*m**2 - 20*m - 2*m**3 + 17*m - m**3. What is r*z(g) - 8*y(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 13. Let u be g(-11). Let b = 20\/7 + -166\/63. Determine a, given that -b*a + 0*a**u + 4\/9*a**3 + 0*a**4 + 0 - 2\/9*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2. Let s(z) be the third derivative of z**4\/3 + 10*z**2. Give q(s(f)).\nAnswer: 128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/13 - 30*n**3\/13 - 8*n**2 - 72*n\/13 = 0. Calculate n.\nAnswer: -2, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 - 1064 = -6*v. Calculate the remainder when v is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12212042 - -20?\nAnswer: 12212062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1433.651516 to one dp.\nAnswer: -1433.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 15\/17 - 8\/(-68). Solve 4*w + r*z = -2*z + 2, 9 = 3*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35.8 + -7.8. Let v = -22.1 - 8.2. Let p = w + v. Round p to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -44 - (6 - (18 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -16 + -13 + 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iccciic. Give prob of picking 1 i and 2 c.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 10596558\nAnswer: 2119311.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let f be y(-6). Calculate the common denominator of 31\/6 and f - (-240)\/42 - (-674)\/56.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18497 + 123994?\nAnswer: 105497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*c = 104*c + 185 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 24. Suppose 384 = 4*p + 312. Suppose -p*h + 240 = -10*h. What is the smallest common multiple of h and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 1747395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + (68 - -32) + 66.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2341186 is divided by 177.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/2)\/z**36)\/(z**30*z*z)**(-34))**(-9\/2) assuming z is positive.\nAnswer: z**(-18909\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 35 + 85 = 0. Let u(f) = -f**3 - 20*f**2 - 37*f - 38. Let i be u(-18). Let z = i + g. Is 4 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-1)\/(40\/6))\/(156\/1040).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (1 - (2 + 0)). Suppose 8 = a*h - 0. Let o = 58 - 54. Solve -3*c + o = -h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 23 - (-32)\/(15 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/3861663?\nAnswer: 2\/3861663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4180203*c**3*r*t**2 + 225*c**3*r*t + 5*c**3*r - 2*c**3 + 5*c*t - 6*c wrt t.\nAnswer: 8360406*c**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 = 1. Suppose -3*d + k = -29. Suppose 4*h = h + d. Solve 0 = -2*m + m + h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87099917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6780.695 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/4725 and 31\/1091466.\nAnswer: 573019650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 37*p**4\/24 - 119*p**3\/3 - 6*p**2 + 9. What is the hundreds digit of q(39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1628, -6582, -14838, -26396, -41256, -59418?\n\"Answer: -1651*p**2 - p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngq when three letters picked without replacement from nnnnnngnq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13422 + -13421.6. Let q = 2 + 0. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 25. Suppose -5*l + 28 = 8, -5*k - 2*l = 82. What are the prime factors of b(k)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61374*r**5 + 16*r**3 + 405789*r**2?\nAnswer: 3682440*r**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*u - 237, u - 3*v - 71 = -4*v. Suppose 54*c - 39*c = u. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -5, -3, -4, 1265 in decreasing order.\nAnswer: 1265, -2, -3, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21*v + 35. Is s(68) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3553, 28300, 95455, 226222, 441805?\nAnswer: 763408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/5 + -1\/10. Let o(t) be the first derivative of 5\/8*t**4 - 1\/2*t**2 - 7 + v*t**3 + 0*t. Suppose o(x) = 0. What is x?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 19 + 20 + 15*z. Give b(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 123442\/5*-4)*60\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50746 is divided by 203.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 695*611\nAnswer: 424645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80319 rounded to two decimal places?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/216 and -43\/540?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/7 + 194*y\/7 + 312 = 0.\nAnswer: -84, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-20 + 2)) + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 - 2*m**2 + 156*m\/5 - 144\/5.\nAnswer: -2*(m - 6)*(m - 1)*(m + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3539*d**2 + 1284*d**2 + 997*d**2 + 1267*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 6*i + 43. Is (-3)\/((-36)\/10245) - i\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -7*q + 22. Are q and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3*(-2)\/18)\/((10\/(-3))\/(-5)). Let k be (12 + 0)*(-3)\/(-9). Which is the nearest to -1? (a) k (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2038 (base 9) in base 7?\nAnswer: -4232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 - 52*n**2 + 40*n + 96 = 0.\nAnswer: -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51, 101, 151, 201, 251, 301?\n\"Answer: 50*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 0*z**3 + 0*z**3 - 5*z**3 - 2*z**3 + 4*z**3 + (-z + 0 + 0)*(0 + 0 - z**2).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53732)\/23028)\/(14\/(-48)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.729 and -128823?\nAnswer: 128820.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/2587143 and 83\/426.\nAnswer: 367374306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 0.1066?\nAnswer: 0.1934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 5 + 5 + (-1 + 1 - 3)*(-5*v + 6*v + 0*v + (4 + 2 - 4)*(3 + 3*v - 3) + (0 + 0 + 2*v)*(-1 - 1 + 0)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 17*x**2 + 71*x + 15. Let l be y(-4). Solve 0*o - o = l*w, 3*o = 2*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2\/2 + 185973*i\/2 + 256746108 = 0?\nAnswer: -2648, 64639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 31.\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109362193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + l**2 + 4*l**3 - 3*l**3)*(-l - 3*l - 2*l)*(1 + 4 - 3).\nAnswer: 24*l**4 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 532 = 12*u. Let o be -1 - (u - (-3)\/(-1)). What is the tens digit of (-13)\/o + (-194)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 8. Let g(c) = -c - 7. Let i(f) = 4*g(f) - 3*h(f). Let n be ((20 - 2)*-3)\/(-2). Suppose v + 5*o = 11, 3*o = 5*v + n + 2. Give i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 298*d - 232. Is 14 a factor of w(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1. Let n = -43 + 41. Let c(l) = -6*l + 5. Let m(k) = k - 1. Let v(z) = n*c(z) - 14*m(z). What is -v(y) + w(y)?\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 2. Let t be a(-3). Let v(d) = -d**3 + 9*d**2 - 6*d + 11. Is 14 a factor of v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -p - 3*p. Suppose -5*r - 20 = 0, 2*r + 12 + 51 = p*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 0*s**2 - 1 + 0*s + 1\/15*s**3 - 1\/20*s**4. Factor z(q).\nAnswer: -q**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552000 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13624 and 3.\nAnswer: -0.40872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/4*(-20)\/(-15)*1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 454*f**2 + f - 638*f**3 - 452*f**2 - 2*f as n*f**3 + a*f**2 + y*f + b and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0, 37, -4 in descending order.\nAnswer: 37, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8606946*v + 1176355.\nAnswer: 8606946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**4\/12 + 5*n**3\/6 + 7*n**2. Find the first derivative of b(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -2)*6 + (3 + sqrt(208) - sqrt(208))*-5 - (sqrt(13)*-1*6 - (sqrt(13) + sqrt(208) + 3) - 2*1*sqrt(208))**2.\nAnswer: -4729 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4)**50)**(4\/11) assuming o is positive.\nAnswer: o**(800\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 129*z**2 + 294*z**2 - 165*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p - 32. Determine j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 14*d + 21 = -4*o, -5 = -2*d + 5*o. Solve d*u + 3 = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/3 + w**2 + w - 19. Determine h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685 = v + 82. Suppose v + 624 = 3*s. Factor 4*m**2 - s*m + 409*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 28*a**2 + 23*a - 9. Let r be f(-27). Suppose 8*k - r - 21 = 0. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*o + 365 - 61 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8 + 6 + 54 + 6 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - (-3 - 0)) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40173 and 158742653?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 56*m - 109. Let d(g) = -14*g - 27. Let a(y) = -9*d(y) + 2*q(y). Let c = -92 - -83. What are the prime factors of a(c)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11676*c - 3. Let n be z(2). Let v = n + -1751219\/75. Let w = v - 2\/25. Is w less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*k + 422431 = 50479. Is k a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201249 divided by 463.\nAnswer: -201249\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.5 (b) -39 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110492 is divided by 1199.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25760220 and 20?\nAnswer: 25760220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l + 237*l**2 + 5 + 25*l**3 - 237*l**2 - 2*l**3 as i*l**2 + m*l + j*l**3 + f and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhq when three letters picked without replacement from {h: 7, f: 4, w: 1, q: 8}?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9 + 7 = 3*p, -5*p - 2*u = -48. Suppose 5*r + 18 = p. Let h be (r + 1)*0\/(-1 + 4). Solve -3*k + 0 + 15 = h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23955*j - 22366*j + 5*j**2 + 46321*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18314826?\nAnswer: 2, 3, 3052471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10*-4)\/(-5) + -1. Let b(a) = -a - 6. Determine b(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*r - 58, -4*p - 3*r = -231 + 24. Calculate the greatest common divisor of p and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 11*a**2 - 16*a + 13. Let d be g(8). Suppose -15*j - 43 - d = 0. Let t = 1 - 1.2. What is the biggest value in -2\/17, t, j?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 + 61 = -5*h. Suppose -194 = -x - 5*k, 0 = 2*x - 3*k - 2*k - 403. Let s = h + x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 - 184565*x - 2215365. What is c(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 12*j**2 + 6*j + 5. Is 21 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130751*o**2 + 72684*o wrt o.\nAnswer: -261502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 561 = -p - 189, -5*p - 186 = -2*i. List the prime factors of i.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*n - 2, 5*n = 2*j - 97. Let q be j\/5 - 4\/20. Determine v, given that q + 98*v**2 + 50*v + 5*v + v = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 = -3. Suppose 106 = 5*d + h. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193972 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015052 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165184 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 25 = 3*j, 67*u - 65*u + 10 = 2*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 6 = -4*k, -m = -5*k - 44 + 41 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1676, -5, -8089 in decreasing order.\nAnswer: 1676, -1, -5, -8089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -27*l**2 + 15*l - 15. Let v(t) = t**2 + 9*t + 6. Let a be v(-9). Let y be a\/8*40\/2. Let h(d) = 4*d**2 - 2*d + 2. Determine y*h(b) + 2*z(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32260 + 45535. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -340991 + -231489. What is m rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 346, 521?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -13) + -4 + -10 + -3 + -68 + 0.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-385)\/(-1848))\/(95\/(-513))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.488 and 511?\nAnswer: 509.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 7. Let i(w) be the first derivative of 8\/3*w**3 - 20*w - 34 + 0*w**2. Let b be 10\/15 + (-49)\/(-3). What is b*o(z) - 6*i(z)?\nAnswer: 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (58\/(-4))\/((-25)\/(-150)). Which is bigger: -74 or b?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2748196?\nAnswer: 2, 11, 62459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -15) + 22 - (10 + (-2 - 4))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-16))**(-1\/23))**(4\/23) assuming y is positive.\nAnswer: y**(-68\/529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c**(-11)*c*c))**(-37)\/(c**(2\/85)*c\/c**(-2\/11)) assuming c is positive.\nAnswer: c**(-416267\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-20))\/((-7)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from hefecfhhhuhf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 20*g - 17. Let r(y) = -7*y. Let n = 7 + -1. Let s = -616 + 629. Let d(p) = 14*p + 1. Let f(x) = n*d(x) + s*r(x). Give 6*c(k) + 17*f(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-253736)\/(-81696) + (1\/12 - 0). Which is smaller: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 756 and 195021?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -20220?\nAnswer: 20223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 379 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0328724104 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 26*y + 8 - 3)*(-4*y - 1145*y**2 - 1137*y**2 + 2182*y**2) in the form v*y**2 + b*y + l*y**3 + p and give l.\nAnswer: -2600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 22, 43, 82, 145, 238, 367?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58795*y - 58795*y + 132*y**2 - 2*y**3.\nAnswer: -2*y**2*(y - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f\/(f*f*f*f\/(f*f**(-26)))))\/f*f)**38 assuming f is positive.\nAnswer: f**1178","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m = 43*m + 868. Let l(z) = 2 - m*z - 2*z**2 + 216*z + 8. Calculate l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -16. Suppose -30*v = 8*v + 532. Put v, d, -1 in decreasing order.\nAnswer: d, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -3*w**3\/2 + 11*w. Let c(l) = -356*l**2 - 357*l**2 + 1400*l**2 - 354*l**2 - 348*l**2. What is c(f(p))?\nAnswer: -1215*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -87*o + 15 + 17\/3*o**3 + 0*o**2. Find the first derivative of b(v) wrt v.\nAnswer: 34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u - 63*u + 1275 = 0. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(-4))\/((24\/45)\/2) and (-12)\/7*(-270)\/288.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23743901 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*b - 6*b**2 + 13*b + (b - 4*b + 2*b)*(2*b - 6*b + 2*b))*(2*b + 7*b + 12*b) to r*b**3 + k*b**2 + a + n*b and give r.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -h - 10, 4*h - g = 4 - 6. Solve 3*t - 6*t - 12 = h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**2 + 7*i + 7. Let y(q) = -5*q**2 - 4*q - 4. Let g(p) = -4*b(p) - 7*y(p). Let w(h) = 32*h. Calculate g(w(j)).\nAnswer: 3072*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 229 or 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 29 - 29 + 5*l. Let p be (2925 - (-4)\/(-2)) + (18 - 14). Let r(v) = -v**2 + 2927 + 4*v**2 - p. What is r(z(s))?\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) - sqrt(10)) + sqrt(10))*3*-5 - sqrt(40)*6*1)\/((sqrt(54)\/(sqrt(9)*-3 + sqrt(9)))\/(sqrt(432)*1 - sqrt(3))).\nAnswer: 1254*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 493335574, 493335572, 493335568, 493335562, 493335554, 493335544, 493335532?\nAnswer: 493335518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1359250404 divided by 12.\nAnswer: -113270867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -23. Suppose -4*a + 118 = j*t - 2*a, -4*a = 4. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1005\/24)\/(-1) + 2\/(-16). Suppose 4*x - 213 = x. Let z = u + x. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 86*w + 555. Let s be u(-6). Solve -s*t + 5*d + 4 = 1, 4*t - 5*d = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.24*-40095\nAnswer: -1092187.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2. Let p(f) = -1185*f + 8. Determine p(k(j)).\nAnswer: -9480*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*y - 304682 = -304682 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -539\/469135?\nAnswer: -539\/469135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:25 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 389006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/3)\/((-4)\/10). Let x = q - -9. Suppose -270 = -9*j - 9*j. Calculate the remainder when j is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -24.3.\nAnswer: -12.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/((-79)\/395*(-15)\/6)*(-2)\/(-4)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152507 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277*f**3 + 350*f**2?\nAnswer: 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75038, 150078, 225118, 300158, 375198, 450238?\nAnswer: 525278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1212 by -3.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.092, 4, -4, -0.27, -2\/11, -2 in decreasing order.\nAnswer: 4, 0.092, -2\/11, -0.27, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -1407.\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.174*-8.7.\nAnswer: 1.5138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 3 (b) -120\/2047 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 4)*(-110 - 85 + 17)*(k**3 + 2*k**3 - 5*k**3).\nAnswer: -3204*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 4, g: 1}. Give prob of sequence glp.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240 - 9*i + 240)*((-5*i**2 + 2*i**2 + 4*i**2)*(-4*i + i + i) - 4*i**3 + 3*i**3 - 2*i**3)*((1 - 1 + 2)*(5 + 0 - 4) + 1 - 4 + 2 + 4 - 3 + 0).\nAnswer: 90*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 224, 232, 240, 248?\n\"Answer: 8*w + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4074757 - -1771023.\nAnswer: -2303734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3 + 2*t**2 + 6*t + 7*t + 2*t + 16. Let y be x(-9). Calculate the greatest common factor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240\/11 + -17007\/781. Which is the biggest value? (a) 5 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -1 - (-249 - -253) - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 16 = 3*o, 5*s - 2*o + 4 = 6*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 185*f - 311201. Give w(-473).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 36757314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 94*i + 126. Let g = 8 + 2. What is the remainder when l(46) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7*h + 2 = 0. Let s be 4\/(-66)*3 - 1552\/(-66). Let u = s + -24. Sort h, u, -3 in decreasing order.\nAnswer: u, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, i: 5, t: 3, j: 1, k: 1}. Give prob of picking 2 t and 1 i.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - 2.7. Let q = -2.5 - d. Let f be (2 + -1)*-1 - -1. What is the nearest to f in -1, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2763?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349514001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/25335886 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -2\/3, -9\/7, -202?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 4. Let r(y) = -y**2 - 9*y - 10. Let o be r(-7). What is k(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.027992553 + -2.028. What is k rounded to 7 dps?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-12)\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11852.436 minutes in hours?\nAnswer: 197.5406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let m = 1 - o. Let n be -2 + (25\/10 - 0). Which is the nearest to n? (a) -3 (b) 5\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o**3 - o**2 - 2*o - 1. Suppose 4*y - 2*d + 30 = 0, 0*d = -5*y - 4*d - 18. Let a be (-27)\/(-6) + 1\/2. Let r = a + y. Determine k(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1550*n + 1543*n - 4634*n - 13 + 1541*n - 6*n**2.\nAnswer: -6*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 17 - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**6))\/p**(6\/11) assuming p is positive.\nAnswer: p**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 - p**2 + p**2)*(1 - 1 + 1) to w + d*p + t*p**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(-2 + 2*j + 2 + (0*j + 2*j - 3*j)*(3 - 2 - 3)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = 568 - 2776. What is the remainder when 3674 is divided by s?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*(-12)\/(-10)*(-18 - -19).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*-17)\/((10\/18)\/5). What is the hundreds digit of (r\/(-4))\/(6\/12) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-12)*k))\/k**8*(k\/(k\/(k**(-1)*k)))**(-27))**36 assuming k is positive.\nAnswer: k**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -770918, -770966, -771012, -771056?\nAnswer: -771098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwqqwqwqwwwwwwwqwq.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 584 - 1820. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*v + 4 = 0, 3*a + 3*v - 6 = -2*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 901223 - 2.8\nAnswer: 901220.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359317758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1 - -2)*1. Suppose -s*n + 0*n + 42 = -3*a, -3*n + 2*a + 39 = 0. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45674668 + 5*d**2 - 45674668.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006636 rounded to five dps?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 - 1.2. Put q, 1, -2\/9 in increasing order.\nAnswer: -2\/9, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, a: 3, g: 6, e: 1}. What is prob of picking 1 n, 1 a, and 1 g?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64666 + 313205 = -2413*i for i.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 - 4*k**2 + 2*k. Let w(m) = -m + 5. Let v be w(3). Let r be g(v). Solve d + 2*d = -r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -58. Find the second derivative of 52*r**4 + 2*r**2 + 2 - 20*r + 54*r - h*r wrt r.\nAnswer: 624*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2027 + 2035. Solve 0 = j*o + 8 - 48 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9.41057, -2\/143, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*s**4*t**2 - 181*s**3*t**3 + 2*s**3 - 2*s**2*t + 1490*s*t**3 wrt s?\nAnswer: 1032*s*t**2 - 1086*t**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5, -3*u - 118 = -8*u + 2*o. Let x(b) = -b**2 + 76*b - 732. Let t be x(12). What is the highest common divisor of t and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97d7 (base 14) to base 4\nAnswer: -12122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063289238 rounded to 3 dps?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191893 is divided by 1792?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2346 * 7523\nAnswer: -17648958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8606541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*u, 4*u + 22*x - 19*x = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19817 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -4 - ((-43 + 20 - -18) + 115).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*v + 43826, -15*v + 54778 = -10*v - 4*q. Suppose 3*l - z - v = 0, 0 = -3*l + 2*z - 6*z + 10979. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (318\/(-265))\/((-4)\/660) is divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-18)*(-8)\/2)\/4?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 104\/6*579\/386\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 32 = -0. Let k be (5\/2 - 2)*o. Find the second derivative of -3*b - b**4 - 2*b + k*b wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/1 - 3)*-3. Let c = -2.669 + 3.069. What is the closest to o in -0.3, -2\/13, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(12\/4))\/(6\/(-45)*(-155)\/(-4))?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 22*a**2 - 6*a + 6*a.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**5 - 20*i**4 + 24*i**3 - 10*i**2. Let f(b) = b**5 + b**4 - b**2. Let d(s) = -2*f(s) + p(s). Determine m, given that d(m) = 0.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44\/5? (a) 0.23 (b) -2\/9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-26)\/o**(1\/17) assuming o is positive.\nAnswer: o**(-443\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/(-9))\/(6204\/(-55836))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11225 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 23*j**2 - 7*j. Let l = 38 + -35. Let o(k) = -12*k**2 + 4*k. Give l*p(d) + 5*o(d).\nAnswer: 9*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1384\/4*(-58)\/(-236). Let g = y - 85. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j = -4*j. Is j <= -1\/742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 3. Let s be r(6). Let n be ((-3)\/2 - -1)*-8. Suppose -5*a - g + 8 = -s*g, g + n = a. Solve -1 + a = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3314*v - 34270 with respect to v.\nAnswer: 3314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1, -20, 544.\nAnswer: -20, -3, -1, 0, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1135, 4118, 9091, 16048, 24983, 35890?\nAnswer: 48763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**2 + 7*d - 1. Determine y(-2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c - 3 - 2*c - 3*c)*(7 - 3 - 2 - 2 + 1 + 2 + 2 - 3 - 1 + (5 - 1 - 2)*(0 + 5 - 4) + 4 - 2 - 4) in the form l*c + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/6 + 5822783\/94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20632411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 8*o - 8*o + 6 + 19489*o**3.\nAnswer: 19489*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grx when three letters picked without replacement from xgrrgrrxxw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21*36\/(-54)*9\/(-2). Let y be (-2)\/(-1 + 212\/204). Let o = y - x. Solve -5*t - o = -7*j + 5*j, 0 = t - 4*j + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 3. Let u be w(5). Let s be 14*(-3)\/15*5\/(-2). Suppose -s*a = -3*a. Solve -3*v + a*v = n + 13, u*n = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4225 and 407290?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2\/5, 2\/5923, 2 in increasing order.\nAnswer: -3, 2\/5923, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240164578 to the nearest integer?\nAnswer: 15497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffleevfvf. Give prob of picking 1 f, 1 e, and 1 v.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098799688 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**4*p\/(p\/(p**(3\/7)\/p)))\/(p*p**(-6)*p*(p\/p**(-3)*p)\/p))**37)**37 assuming p is positive.\nAnswer: p**(52022\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/3*(-79)\/(12166\/396)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3432 = -6*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**43*(s**(-1))**(-1\/36) assuming s is positive.\nAnswer: s**(1549\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 28*g - 4. Let n be o(10). Let z be ((-9)\/(-4) - 2)\/(n\/128). What is the closest to 1\/4 in -5, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1260963 - 748730. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**6\/120 - g**5\/20 - g**4\/12 - g**3\/2 - 9*g**2\/2 - 11*g - 203. Let r(i) be the second derivative of d(i). Calculate r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2860)\/(-9009)*119\/(-34)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.07 + 5.7. Let q = w + 3.07. What is q rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1029, 2101, 3205, 4359, 5581, 6889, 8301?\n\"Answer: 3*k**3 - 2*k**2 + 1057*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and 9935290.3277.\nAnswer: 9935289.5277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4)*(33*t + 30*t + 8 - 61*t)*(-12*t**4 - 12*t + 12*t).\nAnswer: -96*t**5 - 384*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2 + -1 - -2). Suppose 29 = -4*a - s*x, 28 = -4*a - 6*x + 2*x. Let t = 4 + a. Let g(k) = 5*k + 3. Give g(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2357.2 + 2355.5809. Let h = -1.63 - t. What is h rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.09 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -129.617565.\nAnswer: -129.217565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -6\/10057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 515040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 1:43 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**7\/63 + r**6\/45 + r**5\/15 - 2*r - 128. Factor m(w).\nAnswer: -2*w**3*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149742832 is divided by 2346.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121\/6 + -56\/3. Let h = 5\/11 + -2\/77. Sort d, 2, h in decreasing order.\nAnswer: 2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.3, 1.6, -2\/3, -10 in decreasing order.\nAnswer: 1.6, 0.3, -2\/3, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-8))\/((-6210)\/(-82800)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254570, 511508, 768446, 1025384?\nAnswer: 1282322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.379 - 0.379. Suppose -3*u + 11 = 5*l, -u + l + 3 = 2. Suppose -4 = u*h + 6. Sort f, -0.3, h in descending order.\nAnswer: f, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 72*w - 586. Determine k(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -59. Let m = -5094.304 - -5100.3040008. Let w = m + t. Round w to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 3278106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 89. Sort -4, -2, q, -16 in ascending order.\nAnswer: -16, -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17601 is divided by 429.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {k: 1, q: 1, x: 5, o: 4, m: 1}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, u: 4, f: 2, w: 1, i: 1}. Give prob of picking 4 u.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*n + 56*n = 774000. Is n bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*x, 3*u = -x + 2*x - 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -10 + 0 + 30 + -11 + (32 - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 111*v - 1533. Let y be r(14). Solve 0 = -4*f - y + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g. Let x(n) be the first derivative of 0*n + 0*n**2 + 4 - 1\/3*n**3. Give x(m(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose i + 2 = 2*x, t = i + i - 3*x + 6. Let r = 8 + i. Calculate the highest common factor of 8 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.76 - 0.24. Which is greater: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8861184 divided by -18\nAnswer: -492288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*46.4.\nAnswer: -185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406780746 divided by 1133094.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 226*j**6 + 2753*j**3\/3 + 2757. Find the third derivative of p(s) wrt s.\nAnswer: 81360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/(3*(-1)\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2403.31 and -534.\nAnswer: -1283367.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 + 446*v**2 + 2*v. Let b(a) = a. What is b(z(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44 - 21 - 6*s**2 + 0*s + 6 + 33*s - 3*s**3 + 7.\nAnswer: -3*(s - 3)*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 1, p: 1, b: 1, m: 1, n: 1}. Give prob of picking 1 n and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 45 = -2*l + 5*r, -2*l - 30 = -r. Let t(q) = -q**3 - 15*q**2 + 14. What is the units digit of t(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 (base 7) in base 9?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bf39 (base 16) to base 14.\nAnswer: -4986d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 87*k**2 - 2511*k + 24025.\nAnswer: -(k - 31)**2*(k - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 710281 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588901 is divided by 459?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 114578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*s - 71*h + 75*h, 5*h + 5 = 0. Solve 3*f - s = 6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 62 = -8*o + 3*o - 33, 5*o - s = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(2 + 11*q**2 - 2) - 23*q**2 + 20*q**2 + 16*q**2 + (-4*q - 2*q + 4*q)*(3 + q - 3).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 10*a**2 - 2. Let q be z(-10). Let c be (6\/9)\/(q\/(-3)). Suppose -2*h - 1 = c. Sort h, -3, 1\/2 in increasing order.\nAnswer: -3, h, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0773991 kilograms?\nAnswer: 77399.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37\/3 - -25\/2. Which is the closest to 1? (a) 0.1 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) 12 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Let m = t - 0.5. Let z be 1\/4 + (-33)\/36. What is the third smallest value in m, -3, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63 and -3.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21690672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 + 48*f**2 - 108*f = 0. What is f?\nAnswer: 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 490, 376, -340, -1658, -3578, -6100, -9224?\n\"Answer: -301*u**2 + 789*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4772*q**3*t - 2*q**3 + 4*q**2 + 2*q*t + 22*q - 9*t + 19 wrt q?\nAnswer: 28632*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3100 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -0.04, -83006, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 267 = -g, 233 = 2*x + 2*g - 309. Suppose -l + 0*l + 5*a = -118, 2*l + a - x = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 1\/42*d**5 - 1\/42*d**4 + 5*d**2 + 0*d**3 + 0*d - 1\/140*d**6 + 0. What is l in y(l) = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51052*j + 50779*j - 8190 = 0 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -32 (b) -0.02 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-two sevenths of a week?\nAnswer: 1488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 13. Let g be z(5). Suppose -4*s + c + 4*c = 50, s + 4 = -g*c. Let y be (-6)\/15 + 18\/s*-3. Solve -r + y + 0 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20813485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.08, 2, -1, -1.18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3863 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 5*s - 1. Let u(h) = -h**2 - 4*h - 2. Let i(f) = 2*u(f) - 3*v(f). What is i(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3745 - -10871. Is 74 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**5\/22 + 7*z**4\/44 + 2*z**3\/11 - 3*z**2\/2 - 2*z - 3. Let t(f) be the first derivative of x(f). Let t(a) = 0. What is a?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1571 = -1391. Let u be (-28)\/(-21)*k\/(-88). Which is the closest to 3? (a) u (b) 0.2 (c) -2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*d = 4. Let m(l) = 6*l. Let w be m(-1). Let p be (d - -1) + (-18)\/w. Solve p*r = -5*f + 19, 0 = -3*r - 2*f + 1 + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 53?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50970 - -8359117\/164. Is h smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*-3 + sqrt(1296))\/(sqrt(21)\/(sqrt(7) + sqrt(7)*-3)) + -4.\nAnswer: -4 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221.9 - -218.9. Which is the second smallest value? (a) i (b) -2\/9 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 8*j + 3 = 0. Let u(n) = n. Let m(i) = -i. Let w be (40\/32)\/((-2)\/8). Let a(p) = j*m(p) + w*u(p). Let y(c) = -3*c**2. Determine a(y(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190516, -380924, -571208, -761362, -951380, -1141256, -1330984?\nAnswer: -1520558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -109.\nAnswer: -5\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.3 - 26. Let d = 0.1 + 0.2. Let r = w + d. What is the second smallest value in 2, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:42 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1402 - 1?\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + z**2 + z + 1. Let s be j(2). Suppose -6*d = -d - s. Let f = 0.05 - 0.45. Which is the second biggest value? (a) f (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -85*u + 270. Let c be a(3). Solve -10*z + 5*z = -c, -3*z = 4*j + 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196580447?\nAnswer: 7, 191, 147031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.367625 and 0.3?\nAnswer: 0.667625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 100?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/51)\/(-4))\/((-3212)\/(-132) - 24)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/45, 4, 47 in increasing order.\nAnswer: -1\/45, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -964 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -42. Factor -4*w**3 - 15*w**2 - q*w**2 - 7*w**2.\nAnswer: -4*w**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2)*(-30)\/12. Put -6, 5, h in decreasing order.\nAnswer: 5, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 71, 76, 85, 98, 115, 136?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w**2 + 9*w**2 - 1 - w**2 in the form r + f*w + k*w**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 24 = -p, 3*v = 2*p - 13 - 20. Let y(w) = w - 2*w - w - p. What are the prime factors of y(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. What is the units digit of 7*(c - (2 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118374 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/40 + 46\/(-5). Is (p\/6)\/((-12)\/2512) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 78\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/8, 2, 1, 1\/3, -37\/1158, -85?\nAnswer: -37\/1158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 15*h - 39. Calculate t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3240 and 1361880?\nAnswer: 4085640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-20) - (-30)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6550, 3, -5 in descending order.\nAnswer: 6550, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 14*h + 3235. Suppose c + 218 = -4*l + h, 3*l - 318 = -2*c. 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: -5, 92, 249, 460, 719, 1020?\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, j: 5}. Give prob of sequence jmmm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286954, 288199, 289444, 290689?\nAnswer: 291934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 26*y**2 - 2*y + 38. Let h(a) = a**3 - 30*a**2 + 3*a - 37. Give 7*g(w) + 6*h(w).\nAnswer: -w**3 + 2*w**2 + 4*w + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*i - 5*a + 2100, -a = -3*i + 2100. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/(-15*(-4)\/24).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 38*v + 1. What is x(-24)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29690, 29679, 29662, 29639, 29610, 29575, 29534?\n\"Answer: -3*i**2 - 2*i + 29695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 6) + 9 + -10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hszffhfshfhzf. What is prob of sequence fzhz?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 40 = -2*x. Let p be (4\/x*0)\/(-2). Suppose p = 13*i - 11*i - 28400. Round i to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -4*f. Suppose f*p + o - 93 = -o, 2*p - 69 = o. Let h be 0 + 23 - (-1 - 1). Solve -3*g + 5*x + h = 0, -13 = 2*g - 4*x - p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 10*p**2 - 4*p + 10. Let b be d(-5). Is (109 - 29)\/(4\/b) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 12*x + 2. Let a be (x*-4)\/(2\/(-70)). Suppose j + a = 2*s - 3*j, 306 = 5*s + j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 6. Let v be (450\/(-4))\/(-9) + (-2)\/4. Solve -n*z - 2*z + a = -v, -a = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 45*s**2 + 2*s + 63*s**2 - 35 + 0*s**3 - s**3 to f*s**3 + v + n*s**2 + r*s and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.94445 to two dps.\nAnswer: 115.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 69*a + 3. Let h be l(1). Let g = 793\/11 - h. Let q = 382 - 378. Sort 0.4, g, q, 2\/11.\nAnswer: g, 2\/11, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, 3, -1\/217, -343?\nAnswer: -1\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by 66\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20564*v**2 - 285753 wrt v.\nAnswer: 41128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 188. Let m = k - -167.999999585. Round m to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 9*g + 3*j + 6, 3*j = -4*g - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3743*z - 6321*z - 10696*z in the form f*z + h and give f.\nAnswer: -20760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2592 + 337 = -5*j, -4383 = 3*w - 3*j. Which is smaller: w or -1461?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8034789 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -571\/5 - -114. Let q(o) = o**2 - 7*o - 6. Let g be q(8). What is the nearest to z in g, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2447.414 and -9?\nAnswer: -22026.726","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - d. List the prime factors of (d - -1)*(3 + 9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*q, -5*q + 2*b + 3*b = 0. Suppose -t + 14 = 5*a - q*a, 7 = -t + 2*a. Suppose r = -5*f - 6, 3*r - 4 = 2*r. Is f bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 14*k + 32*k - 19*k)*(-7*k + 3*k + 2*k) to the form f*k**2 + i*k + a and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4824*y**3 + 349 - 349 + 8629*y**3.\nAnswer: 3805*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*n - 145 = -3*c - 129*n, -5*n - 72 = -4*c for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 63*n**3 + n**2 + 2*n - 2. Let k be m(1). Suppose -k = 4*g + 4*v, -v - 38 = 2*g - 11. Is g bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 w, and 1 b when four letters picked without replacement from bbkkbbbbwbpkkbt?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13392579.77 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14 + 2 = 0. Suppose 4*t - 3*r = 173, r + 2*r + 85 = 2*t. Suppose g*n - 3*z - z = t, 43 = 5*n + z. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363*q**3 - 234*q**3 + 345*q**3)*(-3 + 3 - 9*q**2).\nAnswer: 2268*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 13. Let y be (3\/2)\/((-6)\/(-8)). Suppose y = d - 2*d + 5*h, -h = 0. Sort d, o, -4 in increasing order.\nAnswer: o, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900390?\nAnswer: 2, 3, 5, 30013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-18682)\/4*(-10 - -1 - (-31 + 24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 13*r - 18*r = -15, -2*u = -3*r + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 3 = 0. Let v be (0 - w) + -2 + 12. Suppose 4*h - 7 - v = 0. Put -1, h, -7 in increasing order.\nAnswer: -7, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 130327020*q + 128306388 wrt q?\nAnswer: 130327020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:41 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2263093 divided by -7\nAnswer: -323299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 36*d**2 + 72*d + 155. Calculate g(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 687636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 77*j**2 + 38*j + 47. Calculate the remainder when 764 is divided by z(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 313, 669, 1011, 1333, 1629, 1893, 2119?\n\"Answer: -d**3 - d**2 + 366*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -7*t**4\/2 + t**3 + t**2\/2 - 3*t + 1. Let u = 987 + -989. Is g(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 9789010, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25623600 divided by 3144\nAnswer: -8150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 26 = 11*d + 5, 3*s - 5*d = 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from jcjjvvwvvjjjvj.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 31 = 9*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2 = 3*w, -2*w + 4*m + 17 = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -281410 minus -0.02?\nAnswer: -281409.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-4) - (-1)\/(-2). Suppose 17*c - 12*c - t = 0. Find the third derivative of -6*n**3 + n**2 - 5*n**2 - c*n**2 wrt n.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964638 is divided by 555?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*v - 184, -3*r = -4*v + v + 159. Differentiate 9*p**2 + 120 + 23*p + 26*p + 119*p**2 - v*p with respect to p.\nAnswer: 256*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4126?\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3306)\/(-19) + (1 + -4)*1. What is the highest common factor of 27 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lrrrrsrsrlrllssl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i, b + 21 = 4*b + i. Suppose o = -2*p + b, -5*o - 5 = 2*p - 67. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -682 - -231. Let d = z + 451.00000516. What is d rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 4, z: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4800 divided by -5?\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 5*b - 30, -2*g - 6*b + 435 - 908 = -453 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1782.053 - 1783. Let s = 0.51 + -0.457. Let k = s - t. Which is the closest to k? (a) 16 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(-8))\/j)\/j)\/j**(-12))**(-38) assuming j is positive.\nAnswer: j**(-722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*t - 76 = 0, t + 3 = -0*t. Let p = -8687\/248 - -90\/31. Let f = w + p. Which is the biggest value? (a) 0.5 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2. Let w(b) = 181624891*b**2. Calculate w(g(c)).\nAnswer: 1634624019*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62 + 7*i**2 + 62)*(60 + 32 + 413) to the form m*i + w*i**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5\/x*x)\/(((x*x**1\/x*x)\/x*x)\/x))**(-46)*x**(-6)\/(x\/(x\/x**(-3\/5)))*x**(-5)\/(x**(1\/7)\/x) assuming x is positive.\nAnswer: x**(-6774\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-298 - 1161 - 2238 - 3788)*(2*t**4 + t**4 - 2*t**4) to the form c*t + s*t**4 + i*t**2 + h*t**3 + k and give s.\nAnswer: -7485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 6. Let y(f) = 4*f**2 - 2*f + 1. Let j be 63\/45 - (-4)\/(-10). Let q be y(j). Suppose -9 = -3*i + q*m - 30, -4*m + 16 = -i. Determine z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/634 and -7\/4?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1019, -4117, -9301, -16589, -25999?\nAnswer: -37549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 110, 234, 358?\n\"Answer: 124*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45045562 times 0.5?\nAnswer: 22522781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 + 12*s**5 + 10*s**4 - 17*s**5 + (0*s**4 + s**4 + s**4)*(3*s + 2*s - 3*s) + s**4 - s**4 + 4*s**5.\nAnswer: 7*s**5 + 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -6*a - 3\/2*a**2 + 2*a**3 - 1\/4*a**4 - 1. Let r be l(5). Is r greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 + 17*q + 31. Let x(k) = 5*k**2 + 16*k + 30. Let p(m) = -4*v(m) + 5*x(m). Let y be p(-8). Put y, -4, 0 in decreasing order.\nAnswer: 0, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/(-10) + (-4)\/10. Is (-1)\/3 - (-320)\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 225\/(-18))\/((-48)\/32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 5319*q + 955784. What is c(-174)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4630 (base 8) to base 4\nAnswer: 212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 679 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 1893, 4233, 7519, 11757, 16953, 23113?\nAnswer: 30243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93436 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99392)\/(-27954))\/((-2)\/9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 2*l**3 - 3*l**3 + (-5*l + 2*l + 4*l)*(2*l**2 - 4*l**2 + 3*l**2) + l**3 + l**3 + 8*l**3.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1368b (base 12) to base 5.\nAnswer: -1330031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 not equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*u - 2*u + 124, 309 = 5*u - 4*t. Let x = 103 - u. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/1 + 2\/11. Let o(w) = w**3 - 49*w**2 + 182*w - 91. Let s be o(45). Which is the second smallest value? (a) s (b) z (c) -7\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-280)*7*0*23\/299?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 169, 334, 495, 652, 805?\n\"Answer: -2*c**2 + 171*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6bf (base 16) in base 8?\nAnswer: 3277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9724542l in millilitres?\nAnswer: 972.4542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmkttktktkkksmm. Give prob of picking 1 t and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 223021?\nAnswer: -223020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91959913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23948*p**2 - 918*p + 160410458 with respect to p.\nAnswer: 47896*p - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 1. Let s(u) = -26*u + 1. What is -s(g) + 4*x(g)?\nAnswer: 14*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(5\/135*-3). Let q(x) = 215004*x - 72. Let f be q(u). What is f rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 98 (c) 6 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3 (c) 183 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, k: 3, l: 4}. Give prob of sequence kkk.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - s = -30, -t - 3*s + 29 + 7 = 0. What is the greatest common divisor of 45 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09+-0.0194289\nAnswer: 0.0705711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let z = o - -4. Find the second derivative of w**4 + z*w + 0*w**4 - 5*w wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**4 + 15*z**2 + 8*z + 3. Let q(x) = 12*x**4 - 164*x**2 - 88*x - 32. Let m(j) = -32*n(j) - 3*q(j). What is t in m(t) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from uuuuwruuwuwuuuwqrwu?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -208262695 - -422.\nAnswer: -208262273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76817\/1143 - 605\/9. Let o = y + 276\/1397. Let g = -3\/14 - 2\/7. What is the biggest value in o, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0*q**4 + 4*q + 0 - 1\/6*q**3 + 3\/20*q**5 + 0*q**2. Find the second derivative of v(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x - 4. Let f(r) = 5*r + 2. Let o(i) = i**3 + 6*i**2 + 9*i + 4. Let z be o(-3). What is z*q(y) + 7*f(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13369 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(-16 + 1 - 13)*(2*d**3 - 3*d**4 - 2*d**3).\nAnswer: 252*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5910 - 5798. What is the remainder when i is divided by 93?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - 45*(-21)\/(-70)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17 and -630.322164199.\nAnswer: -647.322164199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 9*b - 7. Let s be d(4). Let c(i) = -20*i**2 - s*i - i**3 + 3*i**2 - 4*i - 22. Let k be c(-16). Let h(x) = -x**2 - 5*x. Calculate h(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 6. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 74. Suppose -2*r - l = -79, -19 = 3*r + l - 135. Calculate the remainder when h(14) is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -8. Let i be (-21)\/(-14)*8\/z. Sort -1, -3, i in descending order.\nAnswer: -1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1. Let v(j) = j**2 + j - 1. Give 2*v(r) + 3*x(r).\nAnswer: 2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 5. Let l be a(5). Suppose 3*c - g - 1 = 3, 4*g = 3*c - 16. Are l and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226 divided by -39?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -15*g**3 + 4*g - 22. Let r be (6 - 4)*(-2 - -4). Let c(z) = 31*z**3 - 7*z + 45. Let o(x) = r*c(x) + 7*b(x). Differentiate o(m) wrt m.\nAnswer: 57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/300 and -35\/6.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 24 = c, 64*b - 11*c - 84 = -4*b + 67*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -0.2.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = -5. Let h = -3.4 + 3. What is the closest to 0.1 in h, 5, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*20\/650)\/(10\/(-15))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3 - 5. Suppose 0 = 5*y - 5, -u - 3*y - 1 = 3*u. Let t = o + u. Put t, 1, -1 in descending order.\nAnswer: 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11264091 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8173546.2 minutes to days.\nAnswer: 5676.07375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3\/4, 0.2, -5, 0.04, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4*j - j - 5.\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83661 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-15))\/(2\/(-5)). Let n(t) = 0*t**3 + 8*t**q - 12*t**2 + t**3 - 5 + 5*t. Calculate the remainder when 26 is divided by n(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(42\/7)*23*(-16)\/(-2576)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -21 in descending order.\nAnswer: 4, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 0.5 (b) 4\/7 (c) -0.4 (d) 27 (e) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.6632 + -0.0368. Which is the smallest value? (a) x (b) -3 (c) -0.4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*x**3 - 119*x**3 - 86*x**3 - 81*x**3 - 81*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*k**2 + 132*k**2 + 116*k**2.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -9 - -2 - (-3 - -2) - (-7002 - -7009)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -1 - 3. Let h(i) = -i**2 + 0*i - 2*i - 1 - i + 0*i. What is h(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -91*f**3 - 2*f**2 + 2476*f. Let l(g) = -g**2. Determine l(m(o)).\nAnswer: -298116*o**2 - 4368*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -738 + 738. Do 46 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 631092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*t - 10*t - 3960 - 2400 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + 11 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10.5, -35\/1891, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 - 2)) + (-59 + 5 - -40)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 4*a**2 - 1. Let h(f) = 4*f**3 + 11*f**2 + f - 1182. Give -h(j) + 2*k(j).\nAnswer: -2*j**3 - 3*j**2 - j + 1180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133\/(-38)*(-828)\/(-161).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:01 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:54 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*j - 21, -a = j + 3*a - 19. Let h be 18 - (4 + (-2 - j)). Calculate the greatest common factor of 45 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 - 1)*(-5915*r**3 + r**2 + 0*r**2 - 2496*r**3) + (3 - 4 - 2)*(0*r**3 - 4*r**3 + 5*r**3) as s*r**2 + z + i*r**3 + j*r and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 470 - 1424. Suppose -3*c - j + 870 = 0. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -4933538?\nAnswer: -19734152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -0.3 (b) 5 (c) -2\/7 (d) -9.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d7b (base 15) in base 16?\nAnswer: be1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2580 and ((-152)\/8 + 25)\/((-90)\/32 - -3)?\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 4*w - w. Let x = w + -15. Suppose x = 2*p - 1. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 361486.503 minutes?\nAnswer: 35.86175625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*m - 63*m**3 - 184*m + 40*m**3 + 17*m**3.\nAnswer: -6*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 + 182284*k**2\/9 + 1384538120*k\/3 + 922944400.\nAnswer: 2*(k + 2)*(k + 45570)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -249719211 and -16185.\nAnswer: -249735396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 17 - 11 = 0. Suppose q + 7 = 3*t. Let a(r) = 5*r**4 - 7*r**3 - 2*r**2 + r. Let f(g) = g**4 - g**3 - g. Let j(i) = t*f(i) - a(i). Factor j(y).\nAnswer: -2*y*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 84. Suppose -2*j = 4*f - z, -2*f + f = 2*j - 18. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -30*y - 1374. Let b be k(-46). Solve -13*w - 35 = -b*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 4 = -3*d - 4*w, -3*d + 3 = -3*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61007 = 1364*z + 1385*z + 17023 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 20*m - 24*m = 88*m + 7020 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -9 - (2 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48315.\nAnswer: 3, 5, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(4\/9)*d)**(-33)*(d*d**(3\/2)*d)**(-14\/13) assuming d is positive.\nAnswer: d**(-3293\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 38. Is 8\/(-2) + (g - -97) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/390 - 1178620\/(-73749)) + -16\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let q(m) = 277*m. What is j(q(r))?\nAnswer: -277*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54.2 and -12.6.\nAnswer: -682.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/630)\/((-4)\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2999, 12268, 27803, 49604?\n\"Answer: 3133*q**2 - 130*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7924 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -223318 - 714?\nAnswer: -223a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**3 - 5*w**2 - 91*w - 126. Determine p(-4).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b**2 + b - 1. Let t be ((-11)\/(-2) - 3)*-2. Let p be -1*(0 - 7 - 0). Let j = t + p. Determine q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.1281\nAnswer: -0.06405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -59\/17 (b) -0.8 (c) -2 (d) 0.3 (e) -0.06 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.01081 years to decades.\nAnswer: 2.201081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/7581581 and 22\/35.\nAnswer: 37907905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 16*o + 42. Let r be s(-13). Solve 10 = -5*z + 4*z - r*t, 5*z + 4*t = -28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 8*h - 2. Let p be y(8). Let l be (-1 - 5\/p)\/(45\/600). Solve -2*i + 4*i - l = -4*s, 3*s - 15 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/24 + (-3)\/12. Is w smaller than 10\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:28 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 38*a + 5*o = 25, -a + 3*o = 15. Let s = -1 - -19. Let w(j) = -9 - j**3 + j + s - 4 - j**2. Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 3*c = 2*k + 1, -35 = 4*k + 5*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749777524 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2 - 173624*b + 1884080836 = 0. Calculate b.\nAnswer: 21703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*g**2 - 486*g**2 - 3*g**3 + 1428*g**2 - 465*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -6942?\nAnswer: 3\/2314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 2, t: 11, z: 5}. What is prob of sequence jatz?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {y: 5, w: 1, s: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18824478?\nAnswer: 2, 3, 19, 61, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 2*h**3\/3 + 3*h**2 + 6*h. Let r be g(3). Solve -5*k - r = 3*p, 2*k + 2*p + 2 = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.8 + 1.8. Let d = -11.999945 - l. What is d rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -55, 961, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168337799?\nAnswer: 7, 839, 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3\/2 (b) -198 (c) 2\/17 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*b + 22. Suppose 11*z - 8*z = b. Solve -8 = -z*n - 4*d, -3*n - d + 2 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-20))\/(34\/850)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549 and 9522771.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 - 3181*c**2 + c**4 + 2*c + c**3 + 3190*c**2 as f*c + g*c**4 + a*c**3 + q + h*c**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (112\/12 - -4)\/(2\/7875). What is r rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = 7. Suppose -2*b = -5*r - 34, -5*b + 85 = -k*r - 17. What is the lowest common multiple of 2 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 - 2. Determine q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166 + 307. Let d = 144 - t. Solve 0 = 2*c - 5*x - 23, 5*c + 25 - 5 = -d*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 15351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 248, 213, 108, -109, -480, -1047, -1852, -2937?\n\"Answer: -7*j**3 + 7*j**2 - 7*j + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 871*k - 1 = 872*k. Let u(z) = -z - 1. Let h(l) = -l - 2. What is k*h(n) + 3*u(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119144813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 66. Which is greater: d or 6\/29?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441833 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: What is the remainder when 104623 is divided by 26141?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-6 + 20)) + 7 - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 248, 495, 754, 1031, 1332, 1663, 2030?\n\"Answer: h**3 + 240*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*c - 76*r + 75*r, -4*r = -4*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-1479)\/290*4\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 8418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1375\/2184 - -74\/39. Calculate the common denominator of 79\/8 - (41 + -31) and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18014 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k)**(15\/8)*k\/(k\/(k\/(k\/(k\/(k\/k**6))))*k)*k*(k\/(k\/k**(-3\/17)))\/k*k*k assuming k is positive.\nAnswer: k**(673\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {s: 5, h: 7, c: 7}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1807\/335 + 2\/335. What is b in n*b**3 + 12\/5*b**5 - 3\/5*b**2 - 33\/5*b**4 + 0 - 3\/5*b = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.267854 rounded to 4 dps?\nAnswer: -0.2679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178*y**2 - 8*y - 12 wrt y?\nAnswer: 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 16. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163216 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -15.5. Put h, 1, -3 in decreasing order.\nAnswer: 1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 279\/(-14)) + (-39988)\/728\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1974840 and -17\/16457.\nAnswer: 1974840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {k: 5, n: 14}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (393 + -382 - (-1 - -34)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109\/4457 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4\/9, -16, 5 in ascending order.\nAnswer: -16, 1\/3, 4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*c + 7 + 13 = 0, -4*k - 5*c + 52 = 0. Suppose m + 5*d = -97 - 7, -2*d = k. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (4 - (210 - 59))?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -202906.\nAnswer: -1420342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/5100 and 41\/60?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230 - 2123?\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552811 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.5, 0.5, 1\/90 in increasing order.\nAnswer: -16.5, 1\/90, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*s**5 - 171*s**4 - 108*s**3.\nAnswer: 3*s**3*(s - 12)*(5*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22410 and 32.\nAnswer: 22442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**4\/3 + v**2. Let u(g) = -g. Let l = -1460 - -1461. Calculate l*x(q) + 4*u(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - q**2 + 72*q + 5. What is x(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*g + 20*g + 55 - 41*g)*(-5 + 0 + 1).\nAnswer: 8*g - 220","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 667 - 661 - (-1 - (-1 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*a**3 - 5626*a**2 + 29*a**3 + 5027*a**2 - 2*a to o + n*a + z*a**2 + j*a**3 and give z.\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3*v + 3*v + (-v + 4*v - 2*v)*(1 + 1 - 3) + 3 - 1 + v - 4)*(-11 - 4*v + 11).\nAnswer: 8*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -4.4. Round z to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*d + 44, -4*d - o - 46 = o. Let y = d - -16. Factor -8\/7*i + 48\/7*i**2 - 14*i**y - 6*i**3 + 0.\nAnswer: -2*i*(i + 1)*(7*i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12301447?\nAnswer: 163, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/((-1)\/36). Let s = 26 - o. What is the derivative of -20*x**4 + 60 + s*x**4 - 63 wrt x?\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z - 65 = 0. Calculate the remainder when 25 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9589 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b. Suppose b = -f + 6*f - 55. Suppose -4*d = 2*n - 16, -d + 2*d + n = 2. What is the remainder when f is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 3*j + 3. Let p be x(3). Let a(l) = -2*l**3 + 3*l**2 - 5*l + 1. Let r(b) = -2*b**3 + 3*b**2 - 7*b + 1. Let q(f) = 5*a(f) - 4*r(f). Give q(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22429?\nAnswer: 11, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 875 divided by -150?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*f**2\/2 - 27*f\/2 - 15 = 0. Calculate f.\nAnswer: -5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-3)\/15)*-7. Suppose -2*m + 37 = 4*z - c, 8 = 4*m. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6219 + 6192. Which is the nearest to 0.1? (a) 2 (b) v (c) 0.3 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1472536 divided by 15\nAnswer: -1472536\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 32 + 16. Let z = 122 + x. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 251*s**2 - 1. Let y be v(-1). Suppose 0 = -l + 6*l - y. What is the remainder when l is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-17 - -21) - (-29 - -50) - 54?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -22*k**2 + 0*k**3 + 0*k - 1\/8*k**4 + 0. Let n(m) = -9*m**2. Calculate w(n(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from fpfnftxfxn?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 0, -238, -3 in decreasing order.\nAnswer: 1, 0, -3, -12, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 292169777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 10\/(-3) + (-15)\/90. Let b(k) = k**3 + 3. Let m be b(2). What is the smallest value in m, -2\/11, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34819018417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/16)\/k)\/k)**(-3))**43 assuming k is positive.\nAnswer: k**(4257\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 a factor of 6377154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u + 13 = 0. What is the remainder when ((-60)\/9)\/((-22)\/165) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2987303 is divided by 482?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, z: 9}. Give prob of picking 1 z and 3 s.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167397 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {j: 5, v: 5, p: 3, m: 2, b: 5}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*h - 229*h + 95*h + 68*h = -21384 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) 1\/27 (c) -1\/4 (d) 2 (e) -0.5 (f) -80 (g) -11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82020 and 30458127.\nAnswer: 609162540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8262 is divided by 88?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a + 300 - 399 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10 + z - 5 + z**3 - 8*z - 6 + 6*z**2. Let l(r) = r**2 + 6*r + 2. Let q be l(-3). Let h be a(q). Let b(i) = -11*i**2 - 1. Calculate b(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 634 + 5?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 239*p - 3547. Calculate the remainder when 115 is divided by u(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*m**4 + 272134*h*m**3 - 3*h*m - 685*h - 4*m**3 - 8*m - 4 wrt m?\nAnswer: 24*h*m**2 + 1632804*h*m - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3 = -3*j, -3*j + o = -9 + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85117627 to the nearest integer?\nAnswer: 9226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 25907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(0 + sqrt(288)).\nAnswer: -36*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 108*w. Let t(v) = 180*v**2. Give g(t(n)).\nAnswer: 162000*n**4 - 19440*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/30 and -34\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1627493\nAnswer: 488247.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/495*11 + 4\/(-18). Let b(c) be the third derivative of -5*c**2 + i + 0*c + 0*c**3 + 1\/12*c**4 - 1\/60*c**5. Find the second derivative of b(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {g: 1, n: 4, l: 7, f: 1}.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 + 1301177*k\/6 - 650590.\nAnswer: (k - 3)*(k + 1301180)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/11)\/x)\/x**(-7)*x**0*x**(8\/11))**38 assuming x is positive.\nAnswer: x**(2888\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -40*c + 93*c - 45*c. Let n(v) = -7*v. What is n(z(q))?\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r - 1. Suppose 2*l + 2*l - 5 = -5*a, l - 4 = -4*a. Let k = l + 2. Let d(f) = -f**2 - 2*f + 2. Give k*d(z) + 3*c(z).\nAnswer: z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -16.06\nAnswer: 17.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3 - 3 + 3*c. Let f(y) = -1230*y - 330. Let n(o) = -30*o - 8. Let k(g) = -4*f(g) + 165*n(g). Let b be 301\/(-14) - 1\/(-2). What is b*l(z) - 2*k(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -26.002. Round t to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18679 - 18668. Let l(s) = -14*s. Let d(r) be the first derivative of -3*r**2\/2 - 2. Calculate b*d(f) - 2*l(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**2 - 18*a**2 + 9*a**2 - 243 + (-4*a + 2*a - a)*(-3*a + 2*a + 2*a).\nAnswer: -4*a**2 - 243","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44718 divided by -668.\nAnswer: 22359\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/(-195) - (-333)\/39. Solve -r - 132 = 47*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -8532?\nAnswer: 8534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 = -2. Let r be -3 + 6\/n + -3. Solve r = 6*q - 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + z**2 - 5*z**2 + 5*z**2. Let i be j(0). Factor i*o - 10\/3*o**3 + 2\/3*o**2 + 0 + 14\/3*o**4 - 2*o**5.\nAnswer: -2*o**2*(o - 1)**2*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16503 = -13*i + 130934 + 13138. Which is greater: i or 9815?\nAnswer: 9815","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -70, -1, 3, 989?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 626*i + 15016 + 8 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 2281249 + 879653 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Suppose w = k*w. Solve -2*p + w*u = 2*u + 8, 20 = 3*p - 5*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((396\/(-77))\/(-18))\/((-12)\/(-54))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + (-688)\/12)\/(2\/6). Let u = j - -189. Put -5, 6, u in decreasing order.\nAnswer: 6, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85738*f**3*h**3 - 2*f**2*h**3 - 9023*f*h**3 wrt f.\nAnswer: -514428*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7285742\/2817 - -3508\/313. Let p = k + -2604. What is the common denominator of (1 + 1)*462\/(-24) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 3038*p**3 - 4*p + 3036*p**3 + p**2 + 2*p + 4*p**4 as j*p**4 + c*p**2 + s*p + b + y*p**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 0.8, 3\/53, 5\/6.\nAnswer: -6, 3\/53, 0.8, 5\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12063071 to the power of 1\/2, to the nearest integer?\nAnswer: 3473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*k - 39 - 15 = 0, 5*k = 4*j - 45. Let s = j + -7. Let a be (-44)\/(-462) + (-4)\/168*-122. Put 1, a, s in ascending order.\nAnswer: 1, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o - 12. Determine q(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 1007 = -2113. Let v = g - 226. What is the highest common divisor of 224 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39.85 - -26.095. What is n rounded to one dp?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153338 and 9966970?\nAnswer: 9966970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -22. Calculate the smallest common multiple of v and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 6 - 9*v + 4*v - 14*v. Let m be (-2 + 0)*390\/(-130). Let b(k) = 225*k - 85. Determine m*b(s) + 85*c(s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2\/3, 15.8 in descending order.\nAnswer: 15.8, 2\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 195373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 698 and 592?\nAnswer: 206608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 44*v**2 + 68*v + 183. Let w be d(43). What is the greatest common divisor of 34 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from {v: 3, c: 1, k: 4, y: 2, j: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2148*p + 43037. Calculate k(20).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39653.53 litres in millilitres?\nAnswer: 39653530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-3) + 11\/(-33). Let h be 0\/(-1 + 3 - b). What is the units digit of (-1 + h\/(-2))*-22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -46 (b) 1\/4 (c) -3 (d) -34\/151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -25 + 30 - (1 - -99). Suppose 5*h - 500 = 5*q, -2*h = -4*q - 370 - 32. Let l = j - q. Solve 2*x - 4*z + l = -8, 5*x = -5*z - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:47 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53330196 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26005 + 8478. Let a = -31562767 - -378543007\/12. Let v = a - w. Find the common denominator of v and -25\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 701*b + 1 + 897*b**3 - 898*b**3 + 679*b to the form i + q*b**3 + o*b + j*b**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 33. Is 34 a factor of (-3)\/(-4) + 6993\/36 + l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1720742161, -1720742159, -1720742147, -1720742119, -1720742069, -1720741991, -1720741879, -1720741727?\nAnswer: -1720741529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -55*r + 63*r. Let b(a) = -10*a. Calculate b(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180*((-24)\/(-35) + 14\/(-49))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33311631887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 14. Suppose -4*v = -2*v - 4, 2*u - 98 = -3*v. Suppose 4*x + u = 3*j, 8*x - 6*x = 4*j - 68. What is the least common multiple of j and m(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 16*o**3 + 1618*o**2 + 36676*o - 219102 = 0.\nAnswer: -53, 39\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -804?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1293.9 - 1294. Which is the nearest to 1\/3? (a) 0.1 (b) 2\/17 (c) q (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 14*x**2 - 28*x + 15. Let u be l(-12). Let y be (42\/u)\/(1\/21). What are the prime factors of 18*(18\/(-63))\/((-6)\/y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, n: 1, p: 3, v: 2, m: 4}. Give prob of sequence mm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12 - ((-935)\/51 + 18). Solve -o + 7 = h, m = 5*o - 7*h + 5*h - 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(6)\/sqrt(3)*4 - sqrt(2))**2) + sqrt(16)\/(sqrt(48)\/sqrt(6)) - (sqrt(6)\/sqrt(3)*-2 + -4 + -2 + sqrt(2)).\nAnswer: -12 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-2) + (2 - 0). Suppose 4*p = -3*c + 63, -p - 2*c + d = -7. Calculate the lowest common multiple of p and (-2)\/7 - ((-23)\/(-7))\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4846*m**3 + 5875*m**2 + 1572660 with respect to m.\nAnswer: -14538*m**2 + 11750*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**2\/2 - 572. Let n(j) = 633*j**2. Determine i(n(x)).\nAnswer: 633*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjhh when four letters picked without replacement from {j: 9, h: 5}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148\/(-37))\/(((-20)\/16)\/5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -10599 and -10679 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h**2 + 4*h**2)*(-2*h**2 + 2*h**2 - 2*h**2)*(-205 + 44 - 190).\nAnswer: 1404*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11574284, -23148573, -34722862, -46297151, -57871440, -69445729?\nAnswer: -81020018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170\/3 + 55. Which is greater: -1\/4 or n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7188230 = 7188230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 18*j**2 - 12*j + 11. Does 32 divide q(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(2 - (0 + 0)). Suppose 16*b - 6*b - 80 = 0. Solve 4*t - 2*d = 4, n = -3*t - 3*d - d - b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 121258333*h + 121258334.\nAnswer: -(h - 121258334)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 110891*f - 114 + 59.\nAnswer: 110891*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y + 193667*y**2 + 3*y**4 - 193652*y**2 + 4 + 7*y to q*y**2 + v*y**4 + u + s*y + c*y**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 4 in descending order.\nAnswer: 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 times 1155.47?\nAnswer: 522272.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147 + 461 - 27*k - 151 - 163.\nAnswer: -27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 14*o**2 - o + 2. Let i(j) = 58*j**2 - 578*j - 13. Let w be i(10). Determine x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 12*c**2 + 2*c - 3. Let n be q(7). Is 23 a factor of (n\/(-12))\/(2\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcooccow. What is prob of picking 3 c and 1 o?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k - 8. Let l(m) = -m - 2. Let v be l(k). Let b = v + 1. Calculate the remainder when 3 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -92*j + 4166. What is r(52)?\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 184, 62, -134, -398, -724, -1106?\n\"Answer: x**3 - 43*x**2 + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = -18*i + 2*g - 16, 3*i = 2*g - 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-380)\/(-16) - 40\/30*(-2610)\/232\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64\/1185, 0.13, 2\/27 in decreasing order.\nAnswer: 0.13, 2\/27, 64\/1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -493 - -507.7. Let z = c + 43.3. Put 3\/2, -2\/7, z in decreasing order.\nAnswer: z, 3\/2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*x - 62 = -34, 0 = -n + x - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15846 by 6.\nAnswer: -2641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5\/9 - 1762*g**4\/9 - 164056*g**3\/9 - 17640*g**2 + 36064*g = 0.\nAnswer: -84, -2, 0, 1, 966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9923 minus -132315.87966?\nAnswer: 142238.87966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0, 0.2.\nAnswer: -39, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/57 and -145\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 3*v)*(-25*v - 23 + 23).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 8 + 4 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50385.8605 + -50401. What is w rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174745 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -5*y**4\/4 - 5*y + 6. Find the first derivative of r(u) wrt u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 6*t + 14. What is the lowest common multiple of 10 and i(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157052060*-0.1\nAnswer: 15705206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -14*c - 74. Let t be h(-15). Let z = -124 + t. Calculate the smallest common multiple of 42 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2320002310 (base 4) to base 15\nAnswer: -ed564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203 - 95. Let t = -275 + h. Let a = 166.999782 + t. What is a rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4489773 to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299\/(-60) + 2 - 98028\/(-40845).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -203 - -269. Suppose -5*b - 4*j = -360, -83 = -b + j - 20. Let d = b - n. Solve d = -5*a - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77185?\nAnswer: 5, 43, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryyyroroyok. What is prob of sequence ok?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (24 - (-12 - (3 + 7)))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 12 + 4 = 0. Let o = 90 + v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136.863 - 134.6. Let i = 0.037 + o. Let q = -2.4 + i. What is the closest to 0.1 in q, 1, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.36 + -0.36. Which is the nearest to -0.1? (a) g (b) 2 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 22*p + 35*f - 40 = 37*f, -10*p + 125 = -5*f for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**7\/105 - 6*t**6\/35 - 2*t**5\/21 - 4*t**2 - 2*t. Suppose z(i) = 0. Calculate i.\nAnswer: -10, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**3\/6 + p**2 + 2*p. Let z = -1 + -1. Let k = 5 + z. Calculate g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 19.9?\nAnswer: -1.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14 + 11*a - 6 + 2 + a**2. Give m(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5517981?\nAnswer: 3, 7, 87587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4330, 8667, 13008, 17353?\n\"Answer: 2*k**2 + 4331*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Let k(j) = 4 - q*j + 2*j - 2 + 2. Calculate k(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6887, 27534, 61943, 110114, 172047, 247742?\n\"Answer: 6881*p**2 + 4*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/8 - -1)\/((-3)\/(-30)). Solve -4*d - d = -a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 + 2*x + 2. Let w(p) be the first derivative of -p**2\/2 - p + 6. What is -i(h) - 2*w(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4719160.48 rounded to the nearest one thousand?\nAnswer: 4719000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*g - 2*g + 26, -2*r - 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 9. Suppose 0 = -n*m + 6*m + 15. Find the third derivative of -7*o**5 + o**m - 5*o**2 - o**3 + o**5 wrt o.\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249768104 divided by -419074.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to 230800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooookmkkkkkkkkkoko. Give prob of picking 3 o.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 134794.\nAnswer: -3235056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icgcgkigicckcugc. What is prob of picking 3 k and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3908, -2\/7, 0.0934?\nAnswer: -3908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d81c5 (base 15) in base 3?\nAnswer: 1021211101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-12) + (-54)\/(-24). Is j > -4\/1383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*c)*(-129 + 172 - 20 - 23 - 367*c) in the form x*c**2 + f + q*c and give x.\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - 13*k**3 + 13*k**3 - 5*k + (-4*k**3 + 0*k**3 + 2*k**3)*(-2*k + 6*k - 2*k).\nAnswer: -3*k**4 - 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 10 = -5*g - 0*b, 5*g - b - 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883874 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuyh when four letters picked without replacement from {u: 1, l: 6, h: 2, y: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 23*f**4\/12 + 11*f**3\/3 - 3*f + 4. Let m(a) be the first derivative of d(a). Find the second derivative of m(w) wrt w.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/40 - 0)\/((-30)\/(-25))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c**6 - 11\/60*c**5 + 0 + 0*c**7 + 0*c**4 - 1\/84*c**8 + 0*c - 15*c**2 + 0*c**3. Find the third derivative of y(v) wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 13 + -1 + -4 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-1\/3)*d*d)\/(d\/d**(-1\/2)))\/((d*d*(d*d**8)\/d)\/((d*d**(6\/11)*d)\/d)))**(-8))**12 assuming d is positive.\nAnswer: d**(8752\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4507 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1*s*s*s\/s**(-3)*s\/(s**3*s*s)*s**2*s)**(-10\/7) assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 26. Suppose o*j - 3*j = 25. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2067, 2072, 2077, 2082?\nAnswer: 2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(187)*-1)\/sqrt(11))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -1\/12*c**5 - 25\/24*c**4 - 5*c**3 + 0 + 142*c**2 + 0*c. Let m(n) = 0. Calculate n.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 12, i: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4210 divided by 9307?\nAnswer: -4210\/9307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 62 - 61 - 2*j**2 + 3*j. Let c be p(-4). Suppose -l - 4*l = -35. Which is greater: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -6, 11.4, -6\/11, 3, 0.09 in descending order.\nAnswer: 11.4, 3, 2\/5, 0.09, -6\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - u + 1245 = 0. Let x = 79 - u. Which is the fourth smallest value? (a) x (b) -0.05 (c) 2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251ab (base 14) to base 11.\nAnswer: -62326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -466 + 708. Suppose 0 = 5*c - 3*c + 2*i - 14, -5*i = -20. Let k be 53719*v + (c - 1). What is k rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(1\/3) - (-19 - -18). Let g be a\/14 - (-20174)\/49. Let p = g - 221. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**5\/50 + b**4\/30 + b**3\/15 - b**2\/5 + 8*b. Solve c(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = -17*w + 3008. Suppose d = 54 + w. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 479*p - 2312. Is q(8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -9, 3, 1, 5, -53, -8.\nAnswer: -53, -9, -8, 1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -316? (a) 0.13 (b) -3 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 - i**2 + 18*i**2 + 24*i**3.\nAnswer: 24*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 16657512.\nAnswer: 49972536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 89 = 161. Let v be ((-10)\/t)\/((-1)\/5) + 1. Let u be (v\/10 + (-2)\/10)*1. Solve q + 0*f - 5*f - 10 = u, q + f + 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13975\/2 or 6988?\nAnswer: 13975\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/17)*i**(-2\/21) assuming i is positive.\nAnswer: i**(8\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7584669 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 - 0.4. Which is the second biggest value? (a) h (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g - 2*n = -10, -5*n = -g + 5. Let y(u) = 21*u + 46. What are the prime factors of y(g)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27\/7*t**2 + 24\/7 + 3\/7*t**4 - 3*t**3 + 3*t = 0 for t.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 6*q + 8. Let d(z) = 2 - 2 + 2 - 1. Let m(f) = -4*d(f) + r(f). Let g(p) = -1. Let w(x) = -2*g(x) + m(x). What is w(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/(l*l\/l**13))**(-7\/12)*l**2*l\/l**(-7)*(l**(1\/2))**(-17) assuming l is positive.\nAnswer: l**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173287555 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {x: 1, y: 1, g: 2, n: 2, d: 1, u: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -72, -125, -190?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 g when four letters picked without replacement from {e: 5, f: 5, g: 3, s: 1, c: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 25400502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 562752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3032\/(-56) - -1)\/((-2)\/14). Suppose 71*c - 65*c = f. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**2 + 1532*x - 2993 wrt x?\nAnswer: 4*x + 1532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1159\/38)\/61*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 704 and 66704?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 180*h - 184*h + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 73367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*z**2 + 1\/2*z + 0.\nAnswer: z*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -691, -55, -3 in ascending order.\nAnswer: -691, -55, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16407*f - 9. Give q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-63)\/(-135) + (-39)\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 2*v**2 - 2*v + 9. Give w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ucuucuu.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2\/4 + 6\/(-12). Let u + 0*c - 1\/2*c**2 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 516 = -0*n + 3*l, 1572 = -3*n - 3*l. Let q be (n\/4)\/((-3)\/20). Round q to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (113 + (-78 - 23))\/(6\/(-36))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 8*d + 33 - 3*d - 32.\nAnswer: -16*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1501*m**2 - 5401*m**2 - 204*m**2 + 6375 with respect to m.\nAnswer: -14212*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 = 1642\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 5:33 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 2) + 133 + -118.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5\/8 (b) -25 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 476*f**2 - 806. Let c(o) = -o**2 + 18. Give x(c(w)).\nAnswer: 476*w**4 - 17136*w**2 + 153418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2793*t**4 - 15353*t**2 + 244139955*t wrt t?\nAnswer: -33516*t**2 - 30706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 236715*o**2 - 94761*o + 30.\nAnswer: 3*(5*o - 2)*(15781*o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 915 and 21?\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.1 (c) 0.5 (d) 2\/11 (e) -206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 5*f**2 - 2*f + 8. Let c = -15 + 11. Let w be i(c). Suppose w = -3*p + 5*n + 801, -2*n = -p + 3*n + 267. Round p to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iil. Give prob of picking 1 l and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 4*i - 6. Let s(p) = -5*p**2 - 9*p - 11. Let a(m) = -6*s(m) + 11*t(m). Let h(b) = b**2. Give a(h(q)).\nAnswer: -3*q**4 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 6*s**2 - 5*s + 4. Give h(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.2 - 7. What is the biggest value in 1\/2, 0.1, 0.03, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 10*q - 2. Let n(c) = 65*c**2 - 43*c + 389. Let v(z) = n(z) + 5*p(z). Differentiate v(x) with respect to x.\nAnswer: 120*x + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 74048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*r**5 - f**2*r + 2*f**2 + 1816980*r**5 + r**2 + 10263*r wrt r?\nAnswer: 60*f**2*r**2 + 109018800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 2274*d + 3 + 7 + 7.\nAnswer: 2274*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-4))\/(4\/48). Solve 4 = 2*k - r*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 1, w: 1, i: 6, x: 2, e: 4}. Give prob of sequence xiji.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let j(i) be the third derivative of -i**4\/24 + 5*i**3\/3 + 5*i**2. Let h be j(8). Let z(n) = 4*n - 2*n + h*n + 2*n. Determine w(z(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 + s. Let q = -8 + 12. Let h(a) = 11*a**2 + 2*a. Let j(n) = 21*n - 26. Let l be j(5). Suppose -8*g = -7 + l. Give g*c(t) + q*h(t).\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 9*v - 21. Suppose 2*d = -0*d - v*t + 19, 4*d - 41 = -5*t. Calculate the remainder when d is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Let h = s - -10. Suppose -4*v - h = -5*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1144 and 84497160.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a - 11. Suppose 0 = -2*o - 16. Let y be t(o). What is the greatest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.74955 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-12)*(-3 + 0))\/(-3). Let w = 3.2 + -3. What is the smallest value in 0, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582640.\nAnswer: 2, 5, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 202 = -2*c + 79, 58 = 5*x - 3*c for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -31037893.\nAnswer: 10\/31037893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c**2 - 147 + 0*c**4 + 145 + 2*c**2 + 7*c**4 + 2*c**3 - 2*c**4 in the form d*c**4 + a*c**2 + y + z*c + p*c**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 116. Let v = -46 - -33. Let t = -12.6 - v. Which is the nearest to 2? (a) t (b) -2\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1752*u**2 - 2 - 1810*u**2.\nAnswer: -58*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 16 - (-7 - 3)) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4443000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 5. Let r be j(2). Let y be (1 - (r - 4)) + 0. Suppose 3*n = -3*s, -y = 2*s + n - 3*n. Which is the closest to s? (a) -5 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 - 332700*d**3 - 5536460320*d**2 - 66400266240*d - 177038991360 = 0.\nAnswer: -33264, -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 5. Let w(i) = i**2 + 9*i + 3. Let f be w(-8). Let y be t(f). Is y >= -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -4, -1\/465, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 343543 = 2391604. List the prime factors of o.\nAnswer: 3, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 303*o - 16 = 299*o, 4 = 3*h - o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijajjadajjjjijj. Give prob of sequence aaji.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -5*l**2\/2 - 764. Let v(p) = -14*p - 3. What is v(j(s))?\nAnswer: 70*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1075867 - 73?\nAnswer: 10757b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87810 - 289488 = -2*m. Let g be (-18)\/24 + 789186\/(-8). Let l = m + g. Round l to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*z - 3 = 0. Suppose -z*u = -5*u. Let k = 5 + -1. What is the biggest value in u, 1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158058.26 rounded to the nearest 100?\nAnswer: -158100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 14*a - 50. Solve a*z + 4 = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163164*c**5 + 75940*c**2 wrt c?\nAnswer: 9789840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 48 = -c, 4*c = -j + c + 16. Let g be (-148799996)\/j - (-2)\/(-8). What is g rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*a**5\/3 - 139*a**4\/3 + 437*a**3\/3 - 437*a**2\/3 + 18*a + 24 = 0. Calculate a.\nAnswer: -4\/13, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) 4 (c) -4\/13 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 8086001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*i - 14, 4*z + 7 = 5*i + 48. Let o = 23 + -26. Let v be 1 - (o + (2 - 2)). Solve 4*b + x = 4*x + z, -2*x + 14 = v*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - v - 106 = 0, -2*s = -0*s - v + 74. Let n = s - -36. Solve 3*r - r + 10 = n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b - 5 + 7 - 8*b + 14*b + 1. Calculate m(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244690 is divided by 813.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 18. Let p = c + -9.2. Let t = 3 - 2.94. Which is greater: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwzwz. Give prob of sequence zz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30022242 (base 5) to base 11\nAnswer: 1512a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 301096792 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 10:36 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1124, 2222, 3248, 4166, 4940?\nAnswer: 5534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -5. Suppose 2*h + 4*l = 32, 4*h - 2*l = l + t. Do 6 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((3 - 4)*1)\/(10\/(-15970)). Is u equal to 1596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13432 (base 5) to base 12\nAnswer: -791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, t: 1, w: 1, v: 4, r: 1}. Give prob of picking 2 g, 1 t, and 1 w.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 2:21 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m + 1. Let h be ((-2)\/4)\/(2 + 92\/(-48)). What is l(h)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9914 - 2824. Suppose -8*a - 642 = -r. Is a a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {y: 7, u: 1, j: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(4 - (476\/16)\/7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 154345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/171 - -167\/342. Let r(n) be the first derivative of -m*n**2 - 6 + 0*n. Let i(j) = -2*j. What is i(r(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5209, -4 in decreasing order.\nAnswer: 5209, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 7 = d, 2*n + 339 - 338 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1771, -6430, -14189, -25042, -38983, -56006, -76105, -99274?\nAnswer: -125507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**4\/14 - 8*d**3\/7 + 27*d**2\/7 + 80*d\/7 - 377. Factor c(p).\nAnswer: 2*(p - 8)*(p - 5)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 8\/17 (c) -0.018 (d) -9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(26\/(-39)*3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48*(-53)\/(-8109)*51?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5164677*v**3 + 4547752?\nAnswer: 15494031*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 3, 18, 37?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 26.976 and -131989154.\nAnswer: -131989127.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5754 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-42))\/4)\/((152792\/807)\/142).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 572483, 1144962, 1717439, 2289914?\n\"Answer: -t**2 + 572482*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 10*f**2 - 9*f - 4. Let m = 1298 - 1287. What is n(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.114 * -4.\nAnswer: 0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or 1514699?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -13. Let s(x) = 1. Let q(c) = -p(c) - 4*s(c). Let m(o) = o + 26. Let d(y) = -4*m(y) + 11*q(y). What is the units digit of d(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)*l**(-12))\/(l**(2\/3)*l**13) assuming l is positive.\nAnswer: l**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-5 - -2))\/1. Let u(a) = 5*a**2 - a. Let x be u(1). Suppose x*s = -0*s - 20. Sort -1, s, r in ascending order.\nAnswer: s, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {t: 1, r: 2, b: 1, x: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 8*i**2 - i + 9. Let o(u) = -u**3 - u + 8. Let h be o(0). Let z be r(h). Which is the closest to 1? (a) -1\/4 (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 225\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -47*g**2. Let v(u) be the third derivative of -u**6\/180 - u**3\/3 - 20*u**2. Let k(m) be the first derivative of v(m). Calculate k(r(y)).\nAnswer: -4418*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 31*x**2 + 138*x + 1123. What is q(23)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3625, 14544, 32727, 58162, 90837, 130740?\nAnswer: 177859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {r: 5, u: 2, y: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50107, -100227, -150343, -200455?\n\"Answer: 2*n**2 - 50126*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23123672 and 2088?\nAnswer: 208113048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 47) + 1 + 71?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 43 = 603*b - 606*b, y + 71 = b + 5*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let j(f) = 26*f**2 - 2*f. Determine p(j(q)).\nAnswer: -26*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1832569, -1832958, -1833347, -1833736, -1834125, -1834514?\nAnswer: -1834903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*h + 14*h + 5524 = -9940 - 5986 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*f*m*p - 5175*f*p + 2*m*p - 22570*p wrt f.\nAnswer: -40*m*p - 5175*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.1 and -3536?\nAnswer: 3538.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 30*q + 270. Let g be h(0). Find the first derivative of -37*y + 63*y - 108 - 3*y**2 + g - 39*y wrt y.\nAnswer: -6*y - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/5 - 11)*29\/116.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -0*j - 2*j. Let q = -47 + j. Suppose -t + 65 = -q. Calculate the remainder when t is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526608697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 + 1 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220402669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1600 + 1602. Solve -6*x + c*x - 2*k + 16 = 0, k - 20 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzhjiizh. Give prob of sequence jj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvi when three letters picked without replacement from ziovxxi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(200) + -2*sqrt(200) + sqrt(200))**2 + -2)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 4*l + 2. Let z be j(-3). Let p be (-343)\/14 + z\/2. Round p to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.244 + 260.244. Let h = -298.2 + d. Let f = h - -39. What is the biggest value in f, -3\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {u: 1, l: 8, t: 4, x: 4, m: 2}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 4957454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**5\/4 - 671978*u**4 + 5375829*u**3\/2 - 4031873*u**2 + 10751663*u\/4 - 671979 = 0.\nAnswer: -2687916, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42 - (-332)\/8)*((-1 - -2) + -7). Suppose 5*u - 2*u = -12. Let j = 7 + u. Solve k*s = -12 + j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22704804?\nAnswer: 2, 3, 630689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -811\/18 - -436\/9. Let u = 4676 - 102855\/22. Calculate the common denominator of i and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638108.\nAnswer: 2, 3, 45503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/(-22))\/((-15)\/8 - -2). Suppose x*l = -0*l + 2*l. Solve 0 = 5*p - l*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:03 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*p + 22 = 0, -79 + 0 = -5*z + 3*p. Suppose 0*f = -4*f + 3*b + 156, 5*f - 2*b - 202 = 0. Calculate the greatest common divisor of z and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -18. Let s = t - -11. Let w(u) = u**3 - u**2 - 5*u + 3. What is the smallest common multiple of s and w(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 9. Suppose -12 = b*u - u - 4*i, 0 = -3*u - 3*i + 27. Sort u, -4, 2\/5 in decreasing order.\nAnswer: u, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-24))\/((-7)\/(-14)))\/(1\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -10. Let o be -10*(-21)\/(-6)*b. Let c = o + 55. Solve 4*x + c = -h + 5*h, h = -3*x - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -7\/2*o**2 + 25*o - 1\/24*o**4 + 0 + 3\/4*o**3. Factor q(u).\nAnswer: -(u - 7)*(u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58724341699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -ba (base 14) to base 8\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1061 - -1?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and -0.1272.\nAnswer: -9.1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-74*(-47)\/8695)\/((-88)\/(-15))\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 1. Let j(i) = 5*i + 2. What is -6*c(r) + j(r)?\nAnswer: -7*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvzvzvvvzs. What is prob of picking 2 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + w - 13 + 14 in the form s*w + b and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 36236*r = -36235*r + 9, -3*r = -16*q + 144 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 - 8 - ((27 - 5) + -19)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003331837 rounded to 7 decimal places?\nAnswer: 0.0000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*(-1663)\/444021*10.\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11319293 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*-2*(-15)\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6\/v**2)\/(v**5*v\/(v**3\/v)))\/(v**(2\/3)*v\/(v*v*v\/(v\/(v**(-1)\/v*v))*v))**11 assuming v is positive.\nAnswer: v**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**3\/3 - 7*c**2 + 2*c. Let d be u(7). Does 9 divide 0 + 3 - (-29 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*q - 7182 + 5293 = -4679 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192784*c**3 - c**2 - 44447*c?\nAnswer: 1156704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*j - r, 10*j + 7 = 8*j - 9*r + 49 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61.5 - 46. Let t = o - 15. Which is the nearest to -0.3? (a) 2\/5 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*h - 3*x, -h + 4*x = 9. Suppose u + 5*j = 4, 0*j - 3*j = h*u - 12. Solve 0 + 32\/9*o**3 - 14\/9*o**u + 4\/9*o - 22\/9*o**2 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 + 944*j**3 + 908*j**2 - 7568*j - 11280 = 0. What is j?\nAnswer: -235, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9827420290611 + -9827419107972.1199998. Let g = u - 1182614.88. Let b = g + -24. Round b to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/35 - (-34)\/(-63). What is the closest to -1 in 1, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -241*h - 538*h - 486*h + 43010 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 56 = -4*t - 112, 2*t - 5*z + 37 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*a - a = -13, 4*a = -w + 6. Suppose -4*n = -w*n. Solve 2*u - 3*o + 0 - 2 = n, -3*u + 3 = 4*o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173757597.\nAnswer: 3, 13, 4455323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.427 times -233308?\nAnswer: -99622.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1831 = -4*s, -12*s = -5*w - 8*s + 9235. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 6 - 13 = s, -s - 2*k - 11 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 9 (c) 0.01 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -35\/3*k**3 + 0*k - 6*k**4 - 50 + 0*k**2. Find the third derivative of f(r) wrt r.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 + -1 + 1 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*sqrt(1088)*2)**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/42 and (-10118)\/103632 - 6*(-3)\/153.\nAnswer: 21336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 3164, 1, 9 in descending order.\nAnswer: 3164, 9, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 32*u**2 + 1891*u + 7547. Give f(-4).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 627956 - b?\nAnswer: 627947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/8 - 515*w**4\/8 + 6423*w**3\/8 + 52335*w**2\/8 + 42687*w\/4 = 0. Calculate w.\nAnswer: -527, -3, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 9 + 12)*(-r - r - 5*r) to n*r + a and give n.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u + 4*u)*(5*u**4 + u**4 + u**4 + (-2 + 2 - 2*u**2)*(0*u**2 - u**2 + 3*u**2)).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -142423 (base 5) to base 4\nAnswer: -1131210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 6. Let p be b(4). Let k be 42\/63 - (-8)\/p. Solve -11 = w - 6*m + 2*m, k*m - 10 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 36713 = -12317. Let g = l - -85427\/14. Find the common denominator of g and (-60)\/130 + (30195\/1638)\/11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 875489875+-37735\nAnswer: 875452140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 23*w - 168 = 0. Let m(b) = 34*b**2 + b - 1. What is the least common multiple of m(1) and w?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1542166 and 126210?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d + 551 = 1361. Solve 10*l - 9*l + 3 = -x, 4*l - 5*x + d = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 118 = -170. Which is the closest to -1? (a) 3 (b) 3\/2 (c) -3\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 125 + -123 + (-1)\/4*7. Let x be (-3)\/(-4*(-3)\/(-6)). Which is the closest to n? (a) 2\/9 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Let g be (-5)\/(-2)*(-572)\/(-110). Suppose 0 = 11*o - g*o + 18. Solve c*b - o = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799123126?\nAnswer: 2, 1667, 239689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868836 = x - 44510. Suppose -5*b + 7636654 = -x. Round b to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**6\/30 - 2*n**5\/15 - n**2. Factor t(g).\nAnswer: -4*g**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 i when four letters picked without replacement from {r: 2, w: 4, i: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -554336, -554341, -554346, -554351, -554356, -554361?\n\"Answer: -5*x - 554331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11, 0, 3, 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 12*l + 13. Let x = -22 - -34. Let d be m(x). Is 12 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 2 o when four letters picked without replacement from {o: 4, s: 4, y: 3, f: 9}.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 + -371.\nAnswer: -370.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073599960 rounded to the nearest 100000?\nAnswer: 1073600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 78. What is f(0)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 6*v + 2. Let b be x(6). Suppose 30 = b*f + 10. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38723 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 892026407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -5993275.5706229.\nAnswer: -5993275.6706229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16276541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 206? (a) -0.17 (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119672 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -377.4937627 to one dp.\nAnswer: -377.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5837 (base 12) in base 8?\nAnswer: 23153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 15*y - 534. Suppose 4*r - t + 2 - 36 = 0, 5*t - 37 = -3*r. Let w = 14 - r. Solve -3*v + w = -b - 11, -5*b = -5*v + y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 1. Let b be t(-5). Let x be b\/(-3) + -1 - -2. Let s = 2 + -1. Are x and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h - 755 = 838 - 137 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120 + -1007?\nAnswer: -aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, -1\/6, 11\/34 in descending order.\nAnswer: 2, 11\/34, -1\/6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 423.1276+47.862\nAnswer: 470.9896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556282?\nAnswer: 2, 19, 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139900100 rounded to the nearest 100000?\nAnswer: 139900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -699*j + 814. Is w(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.463 + -2.363. What is the nearest to -2 in -3, -1\/6, -4, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3989 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 478 and 150?\nAnswer: 35850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441 = -3134*n + 3183*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 = 177*c - 168*c. Let o = 281 - c. Calculate the smallest common multiple of 15 and o.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/12 - (-18)\/(-3). Let h = x - -11\/3. What is the closest to 2 in -9, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20732 = -891*l - 89339 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j + 5. Let d be t(0). Solve v - d*p + 1 = 2*v, v - 2*p - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21105480 a multiple of 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 21029*s**2 - 21*s**3 - 21029*s**2.\nAnswer: -21*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347405 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u + 2292 = 1855 + 8075 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1363 + -792. Let y = 812 - x. What are the prime factors of y?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 3)\/((-2)\/1). Suppose -o - q + 5 = h, 5*q - 7 = -2*o - 0*q. Let a be (368 + -2)*(o\/4)\/3. What is a rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1183\/17 bigger than -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**3\/3 - 4*g**2 + 5*g + 3. Calculate the remainder when 14 is divided by c(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00132404173 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 83\/9 - 132\/594. What is the greatest common factor of r and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14520592?\nAnswer: 2, 389, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 425439085 divided by 5\nAnswer: 85087817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280624 is divided by 140192.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4507307 (base 8) to base 7.\nAnswer: -13223525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/122 and 53\/8?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 3. Let s = 934 + -877. Calculate the remainder when s is divided by p(23).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 290*h**2 - 8*h + 6. What is the hundreds digit of g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 9*y - 1. Let n be (5\/10)\/((-2)\/(-40)). Calculate the remainder when 16 is divided by v(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1364 - -1747. Does 118 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 264*m.\nAnswer: 4*m*(m - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/z)**15\/(z**(-5\/3)\/z)**(-16) assuming z is positive.\nAnswer: z**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7961 is divided by 100.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*a**5 - 23*a**5 - 38*a**5)*(-1 + 3 - 1) + 0*a**5 - 4*a**5 + 5*a**5 + 14*a**5 - 14*a**5 - 16*a**5 + (4*a**2 - 3*a**2 - 2*a**2)*(2*a**3 + 1 - 1).\nAnswer: -100*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s - 5*k = -52, -3*k = -2*s + 84. Suppose -4*x = -2*x - 18. Let c = 13 - x. Calculate the highest common factor of s and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 9*l + 4. What is j(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**2 + 703*v + 7697. List the prime factors of c(-11).\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 900\/40*(-3)\/27\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 + -11721?\nAnswer: -11749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2264 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39.67 - 0.33. Let m = b - -40.1. What is the second biggest value in -1, -1\/5, -5, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3 + 1, g + 5*k - 41 = 0. Suppose 1083 - 1605 = -24*o + 3678. Calculate the remainder when o is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 30830?\nAnswer: 18498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3 + 50 - 2) + 1028 + -1034.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 435 - 279. Let q = c - 100. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 11*i**2 - 2*i - 13. Let k be s(-11). Suppose -o - k*o = -180. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gqqqqqqqgqggqgqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*33\/6 + -2. Suppose 0 = -3*c - 2*m + d - 3, -5*c + 5*m = -10. Suppose t - c = 4. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 - (-97 - -18) - (-1 - (0 - 0)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 8. Let d be g(13). Solve d + 14 = 19*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*4*34\/4. Suppose -p = -s - s. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = v, 0 = 52*r - 50*r - 4*v - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 + -98. Solve -4*m = 3*u + 8, h*u = -0*u + 3*m - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Is (d\/(-4) - -1)*6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*13\/(-26)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-232*k - 222*k + 30*k)*(0*k + 0*k - 2*k**2) as v + d*k**3 + a*k**2 + g*k and give d.\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 8}. What is prob of picking 2 l and 1 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935 = -6*c + 4*c - l, -3*c + 3*l = -1416. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 62*t. Let r(c) = -2*c. What is s(r(n))?\nAnswer: -124*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246853128 to the power of 1\/4, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-15)\/5 - (0 + 16)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0 + 1\/60*t**5 + 0*t**4 + 0*t**2 + 1\/126*t**7 - 23*t - 1\/45*t**6 + 0*t**3. Suppose q(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -57\/2*x**6 - 225\/14*x**7 + 0*x**2 - 48\/5*x**5 - 89*x + 0*x**3 + 2 - x**4. Let j(g) = 0. What is g?\nAnswer: -1, -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4974269 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 10*c + 15. Let h(z) = -z**2 + 5*z - 8. Let x = -19 - -13. Let w(j) = x*l(j) - 11*h(j). Calculate the remainder when w(3) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.2 and -1.9.\nAnswer: 6.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 9333*h**2 + 1812*h**2 - 46*h.\nAnswer: -7521*h**2 - 45*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 24. Suppose -3*c + 7 = -z. Solve 0 = 5*m + 5*p, 6 = 6*m - m + c*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 649246 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2. Suppose 3*r + 0*r + 6 = 0. Let h(o) be the second derivative of -11*o**4\/12 + o + 314. What is r*h(m) + 9*l(m)?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**2\/5 - 3104952*k\/5 + 6209916\/5 = 0.\nAnswer: -1034986, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, r: 13}. What is prob of picking 2 c and 1 r?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 38467721?\nAnswer: 76935442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-12) + 2\/(-8). Let p = 641 + -646. Which is the biggest value? (a) h (b) -13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 9:08 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 15*u - 49. Is v(22) 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*m**0*m)))\/m*m)**(-40))**(-30)*(m**(-2\/11)*m)\/(m**1*m*m)*(m*m*(m\/(m\/m**0))\/m)**27 assuming m is positive.\nAnswer: m**(39873\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 421, 949, 1687, 2635, 3793?\nAnswer: 5161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5461, -5236, -5013, -4792, -4573, -4356, -4141?\nAnswer: -3928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 + b - 5. Let f be p(-6). Let m be (f\/4)\/((-2)\/8). Let k = m + 1519\/9. Is k at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) + ((sqrt(77) - -1*sqrt(77))*6 - sqrt(77))))\/(5*4*sqrt(1008)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 v when three letters picked without replacement from vyayshas?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 1198. Let g(u) = -4*u**2 + 8*u. Calculate o(g(b)).\nAnswer: -8*b**2 + 16*b + 1198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*s + 1879, 5*z - 1882 = -32*s + 28*s. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*y + 22*y + 2*d + 2, -5*d = 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17327868?\nAnswer: 2, 3, 1443989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 254009 (base 13) to base 2\nAnswer: 11011010010011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - -0.7. Let p = -6 + 5. Let x = z + p. Put x, 6, -4 in ascending order.\nAnswer: -4, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 561 divided by 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 320 + 3252662?\nAnswer: 3253312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-13)*((d\/(d*d*d\/((d\/(d\/((d*d*(d\/d**2*d)\/d*d)\/d)))\/d)))\/d)\/d*d)**1\/((d\/d**(-6))\/(d*d*(d\/d**(-7))\/d*d)*d**(-5\/3)*d**(-4)) assuming d is positive.\nAnswer: d**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63.5 + 65.5. Put x, -2, 0.13, 1, 0 in increasing order.\nAnswer: -2, 0, 0.13, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 2*k + 4. Let g be v(0). Solve 5*s = -p + 1 - 2, 4 = 2*p + g*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44940 - 2*z**2 + 44940.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5282.47 - -3.5308.\nAnswer: -5278.9392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1678997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, -6, -695\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 336812*l**4 + 65*l**3 - 83290147 with respect to l.\nAnswer: 1347248*l**3 + 195*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 5589.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + (-3 + 0 + sqrt(252) - sqrt(252)))**2 + ((-4 + sqrt(1008) + 1 + sqrt(1008) - sqrt(1008))**2 - (sqrt(1008) - (0 + 3*sqrt(1008)))).\nAnswer: -48*sqrt(7) + 1117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 104370*a. Let x(w) = -152*w. Let z(p) = i(p) + 686*x(p). Let l(m) = 10*m**2. Give l(z(q)).\nAnswer: 96040*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1614\/19457?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 55*p**2 + 620*p + 41. Is n(-38) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 475?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4) - (-69)\/60)*-5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*f - 12. Let u(h) = -4 - 372*h**2 + 250*h**2 + 117*h**2 + 4*h. Let j(y) = -y**2 + y - 1. Let g = -18 - -17. Give f*j(i) + g*u(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 divided by -29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -11*b**4\/24 + 2*b**2. Let j be x(1). Let s = j - -26. Which is smaller: 14 or s?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (15 - 13)) + 1 + -11 + -5 - -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 31*s**2 + 17*s - 26. Let i be k(15). Solve 3*j + 2*b - 18 = -b, -i*j - b = -15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378180000 rounded to the nearest 1000000?\nAnswer: 378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 377\/6 - 107\/2. Calculate the common denominator of (270\/(-2322))\/(30\/85) and p.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4 and 151\/4608?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1081 * 0.19.\nAnswer: -205.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 62?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305101 is divided by 280.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22949053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 33. Let a be b(9). Suppose a*u - 3 = 0, -2*s + 2*u + 2 = 4. Suppose -5*o - x - 17 = 0, -5*o + 2 = 5*x + 7. Sort s, -7, o in descending order.\nAnswer: s, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-2 - (-34)\/12). Let m = -87 - -89. Which is the second biggest value? (a) m (b) -3\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/9 and 687\/(-270) + 15\/(135\/12)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29686906, 29686866, 29686792, 29686678, 29686518, 29686306?\nAnswer: 29686036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/287 (b) -158\/47 (c) -0.2 (d) 0.1 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 6*o**2. Let p = 5 + -3. Let y(x) = -x**5 - 5*x**3 - 13*x**2. Let l(z) = p*y(z) - 5*f(z). Find the third derivative of l(w) wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 9. Let q = -0.206 + 0.106. Let m = 1 - 0.8. What is the nearest to b in q, m, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n**3 - 2*n - 4*n**3 + 10*n**3)*(11 + 13 + 14).\nAnswer: -114*n**3 - 76*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35067 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259805588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(0 + sqrt(13))*4*-3 - ((sqrt(39)*3*-5)\/(-3*sqrt(432) - sqrt(432)))**2.\nAnswer: -325\/256 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 minus -31545?\nAnswer: 31544.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12418\/19 + -654. Let x = 80\/171 - k. Is 0 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 13*d - 21*d. Suppose -216 = -d*l - l. What is the highest common divisor of 216 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208175 to the power of 1\/2, to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 22 - 3*i + 0*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 2*n - 3. Let s be t(4). Suppose z + 2*z - s = 0. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - (-18 - -6)) - (-1 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 13 - v - 361.\nAnswer: -v - 317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*v**4 - 156620*v**3 + 18*v**2 + 32*v + 1764?\nAnswer: 912*v - 939720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2158 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 11244730?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 396*y**3 + 7*y**2 + 33*y - 125. Does 19 divide l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*o - 170, -5*k = o + 170 + 106. Which is smaller: k or -49?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -c - 0*c + 16, 0 = -3*c + u - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11463*c**2*s**2 - 7*c**2 + 2*c*s**2 + 73*c*s + 5176*s**2 wrt c.\nAnswer: 22926*s**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1459523.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14016 by -4450.\nAnswer: -7008\/2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 12 = 14*t. Which is the third smallest value? (a) 4 (b) 1\/3 (c) t (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - -30. Let i(r) = 2*r**3 + 8*r**2 + 6*r + 8. Let n be i(-3). Calculate the highest common factor of n and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:45 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -11, -0.1, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -39 (c) 25 (d) -1454 (e) -0.4 (f) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -4. Suppose z*o - 3*o = -3*i - 7, 2*i = -5*o + 4. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 96\/30 + (2 - 22\/10). Sort -1, 0, -42, z in descending order.\nAnswer: z, 0, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -4\/3*d**3 - 3 + 0*d**2 + 0*d. Let v(y) = y. Determine v(g(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32757282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 11. Let o be r(-8). What is the remainder when 51 is divided by (-26)\/(0 + 3 - o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + j + 16. Let m be r(4). Solve -5*h - 2*n = 2 + 17, 2*h + m*n - 2 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 3 + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -350\/167 + -4665\/5344. Calculate the common denominator of s and 1356\/768 - (-6)\/(-4).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -39. Let g(z) = -z**3 - 1. Let m(k) = -10*k**3 + 33. Let j(n) = r*g(n) + m(n). What is the derivative of j(b) wrt b?\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*-2 + -5 + sqrt(68).\nAnswer: -2*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -975 + 1038. Let p be (-4)\/(-10) + 0\/(-2). Which is bigger: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 129552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 42*b + 198 = -3*t, b = 4*t + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3706322 millennia?\nAnswer: 37.06322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d - 199 - 217 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2\/3, -0.0975, 0.5 in decreasing order.\nAnswer: 0.5, -0.0975, -2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1.3, 4, -9, -29, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 93 = 5*z. Suppose 4*d + 3 = z. Suppose -5*o + 4*n = -185, -d*o = 5*n - 72 - 117. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 6*c**5 + 24*c**5 - 9*c**5 - 2*c**3 + 2*c**3 + (0*c + 0*c - c**2)*(-c**3 + 0*c**3 + 2*c**3).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099923 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005001 to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, f: 2}. What is prob of picking 1 f and 1 z?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 402 = -3*q, -529 = -4*q - 2*i - 3*i. Let a = 18 + -16. Suppose 3*u + a*r = q + 82, -5*u - 5*r = -370. What is u rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)*c)\/(c*c**(1\/3)))\/(c**1)**47 assuming c is positive.\nAnswer: c**(-151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*u - 2*p, 2*u - 209 + 193 = 5*p. Calculate the least common multiple of 44 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010200 + 12?\nAnswer: 1010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -128. Is x bigger than 1\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*s + 943 + 1323 = 0. Let q(t) = t**2 - t + 44. Let r be q(0). Calculate the highest common divisor of s and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 462.1635.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860884.\nAnswer: 2, 373, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) -0.4 (c) -8 (d) -303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 + 7.85. Let s = 1.9 - m. What is the closest to s in -2\/5, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times -0.36\nAnswer: -0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -11. What is the second derivative of 5*w**g + 3*w**5 + 6*w - 3*w**5 + 0*w wrt w?\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1245.22178 - -1270.222. Let o = -63 - -88. Let i = o - m. Round i to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**4 - 2 + 2)*(38 - 33 + 36) in the form f*y**2 + v*y + k + r*y**3 + d*y**4 and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -55, -5\/7, -19, 1, 0.02 in decreasing order.\nAnswer: 1, 0.02, -0.3, -5\/7, -19, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 174149346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -1\/6, -0.11, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u - 7*u + 2*u - u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231213 + 122?\nAnswer: 232001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 15*a + 25. Let i be g(-5). Solve -10*m + 11*m - 5 = i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + 2*c + 1. Suppose 6*o + 100 - 1048 = 0. Calculate the remainder when o is divided by n(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11328201 to the nearest integer?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**10\/75600 - v**9\/40320 + v**8\/40320 + v**5\/30 + v**2. Let b(l) be the third derivative of x(l). Solve b(a) = 0 for a.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 508*g**2 + 4*g - 2372. Let q(m) = m**3 - 1011*m**2 + 10*m - 4746. Let c(s) = -2*q(s) + 5*u(s). What is the first derivative of c(x) wrt x?\nAnswer: 9*x**2 - 1036*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31355818849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479 = 32336*o - 32365*o for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19350 - 19349.9999992063. Round m to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:25 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3*f - 10*d**3 - d*f + d + 312*f - 128 wrt d.\nAnswer: 6*d**2*f - 30*d**2 - f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -175*t**3 - t**2 - 2*t - 1. Let s be a(-1). Suppose 4*n + 125 = -s. Let z = n + 77. Solve -4*l + 3*w = 29, 4*l + l + 31 = z*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2\/7, -5, -4\/15085, -2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7127616 divided by -4.\nAnswer: -1781904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.03945+0.0758911\nAnswer: 0.1153411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 5511 and 5512 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 591, 331, 75, -177, -425, -669, -909?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342957 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*o - 305 + 457 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69991 is divided by 158?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 466264111 + -676704111. Round u to the nearest 1000000.\nAnswer: -210000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3689 + 3709. Solve 2*y = 8, -3*q + 0*y = 2*y - b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(384)*1 - sqrt(384))*3 - sqrt(384))\/(sqrt(48)\/(-2*sqrt(4)))*1)**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6477988430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (10 + -5) - 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*r**2*y**3 + 8*r**2*y**2 + 268*r**2*y + 35*r**2 + 74*r*y**3 + 4*r + 334 wrt r.\nAnswer: 16*y**3 + 16*y**2 + 536*y + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 + 85*n**2\/2 + 1551*n + 11628.\nAnswer: -(n - 114)*(n + 12)*(n + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 3, w: 2, i: 1, e: 1, l: 4}. Give prob of sequence kl.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {m: 2, r: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -12, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -71*b - 121*b**2 + 160*b - 89*b. Let y(n) = n. Determine y(u(o)).\nAnswer: -121*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -39 - 675. Suppose -4*u = -76 + 20. Let j = u + a. What is the greatest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(3)*-2 - sqrt(3)))**2 + sqrt(3))*-4 + -3.\nAnswer: -175 + 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -5 (b) -1\/4 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3386112543 + 3386112543.02188448409. Let j = -37.02188175409 + k. Let p = 37 + j. What is p rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjteketemmtteeej. What is prob of sequence teet?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/9*(-140)\/350?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10\/39 - 206\/195. Let h be 2\/5 + 35\/100. Sort h, 1.1, f in increasing order.\nAnswer: f, h, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 42 = -q, d - 4 - 6 = -q. Suppose 2*o = -2*o - 8. Calculate the remainder when (-2)\/5 + (o - (-261)\/15) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441 + 876 - 1904*y**2 + 2376*y**2 - 435.\nAnswer: 472*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/30*(-945)\/(-42)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(-19)\/(-114)*-4*2\/(-182).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -728584 + 728588. Factor 8\/3 - 2\/3*m**q + 6*m**2 + 2\/3*m**3 + 22\/3*m.\nAnswer: -2*(m - 4)*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3046 > -3047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29056 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/21 - (0 - -2). Suppose 3*r - 3*s - 12 = 0, r + s = 5*r - 4. Is r less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.18 from 0.08338138.\nAnswer: -24.09661862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b. Let f(q) = -9*q. Let h(k) = 6*f(k) + 7*x(k). Let l(d) = -4*d - 5759*d**2 + 5764*d**2 + 4*d. Calculate h(l(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 6*f**2 - f - 66. What is the lowest common multiple of 3 and y(-8)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -392, -508, -708, -1034, -1528, -2232, -3188?\n\"Answer: -7*d**3 - 67*d - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q**2 + 3*q + 4. Let k(b) = 11*b**2 - 4*b - 5. Let s(t) = -5*k(t) - 6*r(t). Let h be s(-1). What is the units digit of h\/(6\/9*1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**5\/60 - v**4\/6 + 6*v**3 - 6. Let l(z) be the third derivative of w(z). Let u(h) = 1. Let i = -6 + 4. Give i*u(r) - l(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68578062?\nAnswer: 2, 3, 7, 227, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (-3 + sqrt(343) + 0 + sqrt(21)\/sqrt(3) + -1 - (3 + -1*sqrt(1008)*2))).\nAnswer: -8 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1601 + -54.8399. Sort -5, 4, -0.2, k in descending order.\nAnswer: 4, -0.2, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 70. Suppose -3*y = -2*y - 127. Let j = x + y. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*t + 674 = 2*r, 4*r = -4*t + 896. Let k = 227 - r. Let s = -10 + 15. Solve -7 = 2*m + 3*q, k*q + s + 6 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(539) + -3 + 4.\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 4, r: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -7. Suppose 290 = j*y - 95. Calculate the highest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.11 and 1906?\nAnswer: 1905.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -263538a + 3?\nAnswer: -2635387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30368562 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(2\/13))\/j)**35*j**8*j**(1\/15) assuming j is positive.\nAnswer: j**(7348\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (11 - 9 - 1) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 - 312*n**2 + 5850*n + 6164 = 0. Calculate n.\nAnswer: -1, 23, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/6*2)\/((-20)\/(-120))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - -12) + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 at least -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -38*f + 2203. Calculate c(58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188423785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 116, -13, 2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (-625)\/(-250)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3 + 2*n + 1)*(-3*n + 0*n + 0*n) to the form v*n**2 + s + i*n and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160 + 179. Let j = -15702.9995 + 15722. Let d = v - j. Round d to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -19.\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -0*w. Suppose 0 = 7*g - w*g - 36. What is the remainder when g is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 32368.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 24 (b) -3 (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times -2.1375?\nAnswer: -0.29925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-35))\/((-12)\/(-8)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 0.39981575.\nAnswer: 0.19981575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2396910 is divided by 639?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 20*b**3 - 4*b + 2*b.\nAnswer: -20*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34789 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 680856 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/31)*w**12)**31 assuming w is positive.\nAnswer: w**370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -413466891*w**5 - 191*w**2 + 43200*w.\nAnswer: -24808013460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 5*c**2 + 2*c. Let s be j(-4). Let d = -38 - s. Let i = -372 + 390. Calculate the smallest common multiple of i and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -8*f + 18. Let z(o) = -o + 2. Let g be z(-3). Let r(s) = -3 + 6 - g + s. Determine r(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + y + 4*y = 2*i + 56, -4*y = 3*i + 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*p = 307*p - 295*p + 4914 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*o*z - o - z - 135 with respect to o.\nAnswer: -80*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14374703177613082\/94107 + -152748500939. Let l = 2\/7239 + n. Which is smaller: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, p: 2, n: 8}. Give prob of sequence vnvp.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34.66362l?\nAnswer: 34663.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w + 248 - 266 - 8*w. Give s(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2719 or -2572?\nAnswer: -2719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/51*(-6 - (-1668)\/280)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = -3. Let d = -12 + 2. Let w = d - -6. What is the second biggest value in w, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93063 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 + 0.49. Let i = -1.2 + 1. Let t = p + i. Round t to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*w - 1\/3*w**3 + 0*w**2 + 0.\nAnswer: -w*(w - 2)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2 - 1441684*t + 519613188964 = 0.\nAnswer: 720842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4375587ms?\nAnswer: 0.000007292645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002132 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 292 = 5*y - 272, 20 - 8 = -3*y - p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 947161.9 centuries in decades?\nAnswer: 9471619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6*n + 24 = -n, 3*n = l - 8. Suppose v - c = l, 3*v = -c - 0*c + 24. Calculate the remainder when v is divided by (-210)\/(-110) + 5\/55.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.185285 rounded to 1 decimal place?\nAnswer: 32.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49399 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*4\/4 + 2. What is the third derivative of 0*r**2 - 40*r**5 + 37*r**y - 10*r**2 wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2332*l*p**4 - 53715*l*p**2 + 4*l*p + 11*l + p**4 + 31*p**3 - p**2 wrt p?\nAnswer: 55968*l*p + 24*p + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 0.2, 7, 20, -4, 10 in increasing order.\nAnswer: -19, -4, -2, 0.2, 7, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/22)\/c**4)\/(c\/(c\/(c\/c**12))*(c**(-1\/3)\/c)\/c) assuming c is positive.\nAnswer: c**(619\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 796171 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6*24\/(-28). Let r = -0.1 - -0.1. Let k = 2 - r. Sort -0.4, k, y in increasing order.\nAnswer: -0.4, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -684817.\nAnswer: 11641889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/(-28)*184130\/(-30)*(1 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 - 114. Suppose 680 = 5*g + 3*o, q = -4*o + o - 15. Suppose c = g + 52. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49226197?\nAnswer: 49226197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (8\/10 - 2\/(-10)). Let r = f + 14. Does 19 divide (-72)\/324 - (-695)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-544)\/340*35*3\/6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/251828500 and 47\/1439020.\nAnswer: 251828500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12222001 - 11?\nAnswer: 12221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 3*r - 8. Let v be (-6)\/42 - 81\/21. List the prime factors of l(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -15. Suppose -2*i + i - 2*c = -4, 15 = 5*i + t*c. Factor 1\/3*w + 1\/3*w**5 + i*w**3 + 0 + 4\/3*w**2 + 4\/3*w**4.\nAnswer: w*(w + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {h: 1, j: 2, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30289 = -3*s - 4*i, s - 10089 = 155*i - 160*i. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1932635 divided by -2\nAnswer: 1932635\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-213)\/117) + 64\/48. What is the nearest to 1 in 106\/7, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (111 - 124)*1\/13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuu. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2332*b**2*j*k**2 - 6*b**2*k**2 - 2*b*j*k**2 + 668*b - 47*j*k**2 wrt b.\nAnswer: -4664*j*k**2 - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i + i - 59 + 56. Give v(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 85. Let l be o(15). Solve 0 = 2*y + l, 3*y + 37 = -3*z - 2*y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 7*u + 3*u)*(2*u**3 - 2*u**3 + u**3) + u**4 - 3*u**4 + 0*u**4 + (u**3 + 3*u**3 - 2*u**3)*(4*u - 4*u + 5*u).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36819.39ng in tonnes?\nAnswer: 0.00000000003681939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-2 + 6 - 11) + 6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, 1\/2, -7449355, 2\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:19 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**3 + 2*o - 1. Suppose -c + 2 + 2 = 3*u, -3*u + c + 2 = 0. Calculate y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(16 + 276\/(-16)). What is the closest to -0.05 in 2, v, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 623 and 281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 191889449*p**4 + 10013336?\nAnswer: 767557796*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.165, 3, 5, -5 in descending order.\nAnswer: 5, 3, -0.165, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2 = 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2236, 2160, 2084, 2008, 1932?\nAnswer: 1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2\/4)*(14 - 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Suppose -s = -2*x + 9. What is the remainder when 25 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**4 - 19*f**3 - 13*f**2 + 71*f - 44. Let y(b) = 3*b**4 - 75*b**3 - 54*b**2 + 285*b - 177. Let x(r) = -9*p(r) + 2*y(r). Let x(q) = 0. What is q?\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -17 (c) -1\/5 (d) -13.9 (e) 1\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 34.6. What is the closest to 0.3 in 0.5, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g. Let z(k) be the third derivative of 4*k**5\/15 + 36*k**2. What is l(z(s))?\nAnswer: 128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 15. Let a = l - -8.4. What is the closest to -0.1 in 1\/8, -1, a?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*h**3 + 54*h**3 + 47*h**3 - 19)*(3 - 3 - h).\nAnswer: -2*h**4 + 19*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1367403 - 8*x**3 + 683297 + 683227)*(-2*x**2 + 2*x**2 - 2*x**2).\nAnswer: 16*x**5 + 1758*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a century in months?\nAnswer: 36600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -26\/27 in increasing order.\nAnswer: -6, -4, -26\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*t - 5*d, -5*t = -10*t + 4*d + 35. Solve 3*w - 12 = t*v, 2*v - 2*w + 5*w = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-350)\/(-4) - 3\/(-6). Suppose p + 2*l - 39 = 0, j = -p + 3*p - l. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129170?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 3888?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (9 + -12 + -18 + -10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70770587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68139053*r**3 + 112479195?\nAnswer: -204417159*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336030.\nAnswer: 2, 3, 5, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.8 and -1959.16.\nAnswer: -1960.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 - 3*r**2 + 2*r**2)*(-2*r + 4*r + 0*r) - r**3 + 14*r**3 + 8*r**3 - 2*r**3 - 3*r**2 + 3*r**2 to the form o*r**3 + c*r + b + t*r**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x - x**3 - 34*x + 8*x - 7 + 10*x + 4*x - 8*x**2. Calculate u(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -97601461.\nAnswer: 390405844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Let y be x\/1 - (0 + 320000). Round y to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uucc when four letters picked without replacement from uuucccuccuuuucucuuu?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 64632*d**2 + 260043780*d + 8387715200.\nAnswer: 4*(d - 8095)**2*(d + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -87. Suppose g - 45 + l = 0. Calculate the least common multiple of 42 and g.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 538, 550, 576, 622, 694, 798?\n\"Answer: m**3 + m**2 + 2*m + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30199192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 35 = -5*y + 5*m, 42*y - 222 = 4*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14371\/72 + -1595\/8. Let m = 0.1 - 0.3. Let n = m + 0. Sort 0, n, z in decreasing order.\nAnswer: z, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*y)*((1 + 2 - 1)*(0*y + 3*y - 2*y) + 4*y - 2*y + y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 504?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20889 - -20889. Solve d = -19*t + 24*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0 (c) -3 (d) -25\/552\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 67. Suppose 2*k + 106 = b*k - 2*n, 0 = n + 5. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100110110111001 + -100110?\nAnswer: 11100110110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/20 - t**4\/3 - t**3\/3 + 2*t**2 - 15*t. Calculate v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146687 to the power of 1\/2, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(103 - 33 - 46)*((-2*b + 2*b - 2*b)*(2 - 1 - 2) - 12*b + 8 - 8 + 1 - 3*b - 1)*(2*b - 8 - 2*b - b) to the form m + f*b**2 + j*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -1 - (-56 + -4). Suppose -5*t - 3*v = -114, v - 30 - 15 = -2*t. Let s = t - 12. Calculate the greatest common factor of f and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -3, -511 in descending order.\nAnswer: 5, -3, -5, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-54)\/1296 + ((-10)\/(-8))\/((-6)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1334973 + -0.08.\nAnswer: 1334972.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1415098339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 8. Suppose 0 = -v - 5*a - 3, -v = 2*v + 4*a - l. Let y be (-4 + 1)\/(v\/(-54)). What is the highest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 178 - 58 = 28*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 48. Let l be s(16). Suppose 3*x - 15 = 5*w, 4*x - 4*w - 12 + l = 0. Solve x = 4*v - y + 6, -3 = -5*v + 2*y - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, s: 5}. Give prob of picking 2 s.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2890*b*x**5 + b*x - 16*x**5 - 114*x**2 - 58254237*x wrt x?\nAnswer: 57800*b*x**3 - 320*x**3 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53.7 + 54. What is the closest to -1 in 1\/2, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 + 167. Suppose -d = 2*g - 421, -7*g + n*g = -5*d + 2061. What are the prime factors of d?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 - 14 + 3*h**2 + 28*h**2 - 11*h**2 + 56*h. Let f be w(26). Calculate the highest common factor of f and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 3*h - 60 = 0, -116*d + 52 = -112*d - 5*h for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -l + 28, w + 6*l + 3631 - 3554 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + 3 + 0. Suppose -5*w + 14 = k. Solve -b + 3 = -w*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980) + -1*sqrt(1980))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 2*f - 180956 = -54820, -4*f = -5*m + 78835. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4694 + 5868. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*f**4 - f**3 - 2*f**2 - 10*f + 40443.\nAnswer: -100*f**3 - 3*f**2 - 4*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpstqsqsqlstqt. Give prob of picking 1 t, 1 s, and 1 q.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, c: 2, q: 1, w: 3}. What is prob of picking 1 j and 1 c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 14 = 5*x - 4*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3 + 85\/2*t - 29*t**2 + 11\/2*t**4 - 33\/2 + 1\/2*t**5 = 0.\nAnswer: -11, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -599, -1143, -1713, -2321, -2979, -3699, -4493, -5373?\n\"Answer: -2*q**3 - q**2 - 527*q - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n\/n**(-15)*n*n*n\/(n\/(n*n\/((n*n**(-19))\/n))) assuming n is positive.\nAnswer: n**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 533490161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*d + (4 - d - 4 - 2 + 2 - 2*d + (0*d - 6*d - 4*d)*(-1 - 1 + 4))*(106 + 17 - 8) as s + v*d and give v.\nAnswer: -2643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11828*p - 23642. Give z(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybg when three letters picked without replacement from gggggngggbgyy?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = 7*k - 9, -590*x - 16 = -588*x - 4*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1489730 = 21117*a - 101912 + 744999 for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27306 is divided by 810.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8030655 - 22183*v + 8030655)*(4 - 1 - 2*v - 5).\nAnswer: 44366*v**2 + 44366*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 309885*s = 309881*s - 88, -s + 20 = -u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44688 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(57)\/sqrt(3)*-3 + ((sqrt(19) - (sqrt(19) + -1)) + sqrt(19))*-2 - ((sqrt(2299) + 2)**2 - (sqrt(19) - (1 + sqrt(171) + sqrt(19))))).\nAnswer: -6918 - 156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*t - 10, 4*d + 1 + 9 = -t. Does 3 divide (d - 1)*776\/(-24) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 53 (c) 1\/5 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Let u be (0 + 1)*(1 - -6). Suppose t*d = u*d - 228. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 - 7*z**2 + 137*z - 17. What is p(-8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13944 and 157368.\nAnswer: 1101576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91913801.\nAnswer: 7, 103, 127481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 9*d + 12. Is v(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013.37 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v**2 - 31*v - 233. Is c(11) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 5*a - 20. Give y(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = 4*i, o + 5*o - 2*o + 16 = -1289*i + 1289*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14247435 (base 8) in base 16?\nAnswer: 314f1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4\/(-12))\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123032 and 21476?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r**5 - 683*r**4\/5 + 116*r**3\/5 + 12*r**2 = 0 for r.\nAnswer: -2\/9, 0, 2\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 18408?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 5, -513, 1 in descending order.\nAnswer: 5, 1, 0, -9, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = d - 5*y, -d + 3*y = -10. Suppose 3*i = 5*n - 151, 3*i + n + 79 = i. Let k = -14 - i. Calculate the remainder when k is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2 + 0\/(-1)). Let x(s) = s**3 - 3*s + 1. Let f be x(o). Suppose 5*y - 3*c = 28 - 5, f*y - 3*c = 15. What is the smallest value in y, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-630*o - 88*o - 291*o)*(5 - 5 - 2) to the form v*o + w and give v.\nAnswer: 2018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:24 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 147750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 = -5*t - 3*a + 1636, 2391 = 5*t + 2*a. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 1)*(-4 + 4 + 1) - 2 - 7 + 4)*((3 + 1 - 3)*(-h + 3 - 3) + 2*h + 1 - 1 + 3*h - 2*h + h).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1312720, -2625442, -3938164?\n\"Answer: -1312722*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddh when three letters picked without replacement from {d: 3, b: 1, h: 2, m: 9, x: 3}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163429213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let s(w) = 18*w**3 + 2*w**2 - w. Let d = -2905 - -2915. What is the remainder when s(z) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {o: 3, t: 5, h: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {t: 2, d: 3, h: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (63\/(-6))\/(14\/(-4)). Let 0 + 18*j**2 - 27\/4*j**s + 3\/4*j**4 - 12*j = 0. What is j?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15157932 - -0.0836.\nAnswer: -15157931.9164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -424? (a) -2 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.173521336801 and -1741.\nAnswer: -1741.173521336801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 + -235 + 1*6667 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 5:07 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -39. Let a be (5 - 14)*(-5 - -1). What is the highest common divisor of l and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 s when three letters picked without replacement from {w: 1, c: 1, a: 2, y: 1, s: 2, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*p - 28, -2*p - 26 = -4*n - 0*p. Suppose 3*f + 127 = q, f = 1 - n. Suppose -4*j = 2*o - q, -2*j + 0*j + 2*o = -44. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321107*g**2 + 384432*g wrt g.\nAnswer: -642214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660153639 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*y = -463950, 2*y - y - 185583 = -2*o. Suppose -4*p - 3*s - o = 0, p - 3*p - 46394 = 3*s. What is p rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -952, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(0 - -1) - -1. Let o be n + 1\/(3\/3). Suppose -5 - 1 = -m. Solve 21 = -o*b + m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 344196*c**2 - 7404258300*c + 7404602500.\nAnswer: -4*(c - 1)*(c + 43025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f + 35 = 76*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 511935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 546 = 429. Calculate the smallest common multiple of k\/(-3) + (-3)\/(-1) and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613584.5 millilitres in litres?\nAnswer: 613.5845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 + 2248*u**2 - 167*u + 187795. Calculate w(1124).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 225\/4*d - 3\/2*d**2 - 3\/4*d**3 + 162.\nAnswer: -3*(d - 9)*(d + 3)*(d + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450\/210*(-20)\/(-150)*-10\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*d - 1067 - 104 = 79 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3315.5 + -3316.5. What is the smallest value in y, 2\/7, 48, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 10 = -2*f + 5*i, 0 = 5*f - i - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 4*j + 969476 = 82*j. Is j 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 13189*t**4 + 24*t**3 + 837797*t**2 wrt t?\nAnswer: 316536*t + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 10*z. Let b be -2*(2 + z)*(-17)\/34. What is the fourth biggest value in b, -0.1, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/5)\/a**(-2\/13)*(a**0)**1 assuming a is positive.\nAnswer: a**(23\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/14522968 and -7\/116?\nAnswer: 14522968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**3 - 2*j**2 + j. Let r be u(1). Factor -v + r + 4 - 8 + v**3.\nAnswer: v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -0.9, 5, -29, -25?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59 and 0.08.\nAnswer: 4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3514766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-90)*(10*-1)\/(-2)*12770\/(-2554)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 542143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6.4. Let x = p + -1.23. Let m = x - 0.35. Round m to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**2\/2 - 7*i + 15. Let c be q(4). List the prime factors of 2\/c + 6000\/88.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*d - 4*d. Suppose p + 95 = 4*l - 2*l, -2*p + 153 = d*l. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouvvvouuuvuvvvvvovo. Give prob of sequence vvov.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 - 97*a**2 - 22*a + 57. Let r be f(-24). Suppose -3*z - 2*z = 5*u + 35, 0 = -4*z + 12. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -t + 4*t. Suppose 5*s - 94 = 3*b, t*b = 3*s + s - 70. Suppose -4*u = -s, -u - u + 1580010 = -2*p. What is p rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 15*a + 21. Let h be z(16). Suppose -h*j - 4*u + 1158 = 0, 12 = -3*u - u. Suppose -296 = -5*m + j. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41773611 divided by -3?\nAnswer: 13924537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247617 is divided by 1990.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -33397.\nAnswer: -6679.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114596, -457210, -1028238, -1827680, -2855536?\nAnswer: -4111806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - 341 = -67*y + 3*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 11*y - 22. Let n(q) = -5*q - 28. What is the least common multiple of n(-12) and a(7)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by 1521?\nAnswer: 55\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 8*h + 14. Let b be g(-9). Suppose a - 4*a - b*q = 11, -q + 1 = -a. Let l be 5\/4*(a + 0)*-2. Solve f + 2*s = -5, 4*f = l*s - 28 + 73 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Let s(l) = -67*l**2 - 6. Let t(w) = 106*w**2 + 7. Let n(p) = 3*s(p) + 2*t(p). What is n(o(k))?\nAnswer: 44*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*i - 153 = 287*i. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from iifugbgs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574804 is divided by 2832?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1795766 is divided by 359090.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 590766 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.1399 (b) -0.0631 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 + 27 + 2 - 8 - 5*t - 4*t**2. Does 15 divide z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*0.0742\nAnswer: 0.011872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 27*c = 111015. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.3. Let i = 11 - 5. Let k be (4\/i)\/((-2)\/12). Put l, k, 2 in increasing order.\nAnswer: k, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125266 + 50317?\nAnswer: -54747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -937, -1729, -2729, -3937, -5353?\nAnswer: -6977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i**5 - 14444*i**4 + 27394*i**3 - 11624*i**2 - 1368*i = 0. Calculate i.\nAnswer: -2\/21, 0, 1, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 501*z - 470. What is l(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from ppkppppqqpppqpppp?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 2952148, 2, -5 in descending order.\nAnswer: 2952148, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((157 - 116 + 284)*(2 - 4 - 1) + (-3 + 0 + 5)*(1 - 1 + 1) + 2 - 1 + 1 - 3 + 4 - 3)*(3*r + 0 + 0).\nAnswer: -2919*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 66 = 4*u, 4*b - 3*u + 28 = 116. Suppose -2*z = 0, r - z + 0*z - 11 = 0. Suppose b = 3*y - r. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1167*z**3 - 2798*z**2 wrt z.\nAnswer: -7002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*y - 10 = 0, 51*r - 10 = 49*r - 2*y. Which is smaller: 2\/4095 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3438 - -3631. Calculate the remainder when 2310 is divided by n.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46205252 (base 7) in base 3?\nAnswer: -21121000201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286730 to the power of 1\/2, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -64. Let q(j) = 5*j + 12*j - 4*j + j + 3 + 3*j**2. Calculate q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 265*p + 4108. Determine t(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -24. Suppose -t*x + 7 = 17. Let n(q) = q**2 + 3*q + 2. Give n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -19*i**2 - 2370*i + 16590. Calculate q(7).\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51283 - -51310.991. Let g = 26.66 - q. Let k = 0.009 - g. Round k to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -17 - (131 - 125)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 76*a - 75*a + 67.\nAnswer: a + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + sqrt(44)\/(1*sqrt(4)))**2.\nAnswer: 6*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -125 (b) -10 (c) -7 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 25, 19 in decreasing order.\nAnswer: 25, 19, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100111100 (base 2) in base 11?\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -564*i**2 - 3*i - 554 wrt i.\nAnswer: -1128*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 212, 87, -372, -1165?\n\"Answer: -167*l**2 + 376*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**3 - 12*u**2 + 3*u**3 + 2*u**3 - u + 52*u**2 - 10*u**3 in the form b*u**3 + s*u**2 + l*u + g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(96))\/(4*(sqrt(243) + sqrt(27))))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + h**2 + 18*h. Is o(8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 51 - 6. Suppose -6*y + b*y = 1566. Round y to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -1b?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/207 and -37\/5681.\nAnswer: 51129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*x + 2*a**3 + 53*a**2*x + 2*x + 832 with respect to a.\nAnswer: -3*a**2*x + 6*a**2 + 106*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 78, -23, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*16\/3. Let l = -369080 + 369083. Solve l*i = d + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46422 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(5445))\/sqrt(3))\/((sqrt(33) + sqrt(528))\/sqrt(11)*-6))**2.\nAnswer: 121\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-504)\/24 - -20)\/(6*-1 - 2). What is the closest to -0.32 in -2\/5, x, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 9*h + 2. Let j be b(0). Solve 3*r + 3 = 0, -3 + 5 = -3*k - j*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/20 - 18*b**3\/5 + 297*b**2\/10 - 760*b. Let t(m) = 0. Calculate m.\nAnswer: 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.36, 18, -6, -4\/5, 2.\nAnswer: -6, -4\/5, 1.36, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + 1504255?\nAnswer: 1504231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/276 and 89\/1245.\nAnswer: 114540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**3 - 89441*h - 90573.\nAnswer: 12*h**2 - 89441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473195.\nAnswer: 5, 17, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2436288 and 1344.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173 - 59 - 58 - 836*s - 56)*(7 - 7 - 2*s**4).\nAnswer: 1672*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2001 + -1996. Solve -u*h = 6 - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 - 7*p - 7. Suppose 2*g = 4*l - 4, -17*g + 13*g - 16 = 0. Calculate b(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/7))**5*(k**(-2\/5))**(6\/11))**(-1\/36) assuming k is positive.\nAnswer: k**(-1291\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 4c?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12020098 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2312bc + 2?\nAnswer: 2312c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 180672403 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(7)*-1)*-4 + ((sqrt(7) + sqrt(35)\/sqrt(5))*4*6)**2 + 2.\nAnswer: 4*sqrt(7) + 16114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1088) + -1 + sqrt(1088) + sqrt(1088) + 1)**2 - ((3*sqrt(833) + sqrt(833) + sqrt(833) + sqrt(833))**2 + 0 + -1).\nAnswer: -20191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 947*s**4\/6 + 427*s**3\/6 - 2917*s. What is the second derivative of m(j) wrt j?\nAnswer: 3788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 12:56 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 55\/(-1)*16\/(-20). Let k be ((-4)\/6)\/(t\/77). Let v = k - -5\/3. Which is smaller: v or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -t + 121*o - 119*o, -t + 12*o = -138 - 110 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 30*t**2 + 13*t - 39. What are the prime factors of c(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327360475?\nAnswer: 5, 13, 251, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 11. Let a be o(-8). Let s = -0.2 + 0.4. Let i = 3.8 + s. What is the smallest value in -0.5, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**2 + 13*i + 9. Let u(p) = 9*p**2 + 13*p + 11. Let q(k) = 4*u(k) - 5*v(k). Calculate q(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 + h**2 + 5*h + 3. Let v(o) = 4*o**3 - o - 1. Let x(k) = 5*k**3 - k - 1. Let z(b) = 6*v(b) - 5*x(b). Determine -p(a) - 3*z(a).\nAnswer: -2*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 19*t - 24. Let i(s) = -s**2 - 10*s - 12. Let o(q) = -3*c(q) + 5*i(q). What is the units digit of o(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 + 5*j + 34. Determine k(-6).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53274607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4844115808 rounded to five decimal places?\nAnswer: -0.48441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634058022.\nAnswer: 2, 3, 13, 8128949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.283 rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249 is divided by 553.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1 + 0 + 5 + n**3. Let f be t(0). Suppose 88 = f*p + 2*y, -4*y + 3*y = -p + 16. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 489202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c + 3. Let y(h) = -2*h**2 - 158391*h. What is g(y(x))?\nAnswer: 20*x**2 + 1583910*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/64 + (-633)\/4. Let p = 642 - l. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4464498047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c + 4081 = 4489 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 31. Let d(k) = 3*k - 30. Let g(y) = -6*d(y) + 5*h(y). Let j be g(17). Let o = 110 - j. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 1. Suppose -5*j + 24 + 12 = -3*h, -2*j - 3*h + 6 = 0. Let g(k) = -4*k - 12. What is j*x(o) + g(o)?\nAnswer: 2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1866456 = -o + 5*t + 4653461, 0 = 4*o + 3*t - 11147997. Round o to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -5 - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 405945, 407017, 408089?\n\"Answer: 1072*q + 404873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122 + 40 + 163 + (-1 + 1 - 1)*(1 - 1 + 4))*(-r + r + r) to i + q*r and give q.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.04, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9006255649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 3 - 4*h - 6*h + 2. Let d(n) = 19*n - 7. Let k(g) = 5*d(g) + 7*i(g). Let v be ((-12)\/(-8))\/(1\/(14\/(-21))). Determine k(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.2 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6541a4 - -3?\nAnswer: -6541a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -564382276*b + 147478225 wrt b?\nAnswer: -564382276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*d + 8, -h = 21*d - 19*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*o = -92*o - 676. Let m = -27 + o. What are the prime factors of m?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 3, -204, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5615843 - -5615763.00173. Let b = v - -80. Round b to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/13)\/x)\/(x*x**(1\/3)*x*x*x))\/((x**(-7)\/x)\/x**0) assuming x is positive.\nAnswer: x**(98\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 n, and 1 p when four letters picked without replacement from {n: 1, p: 5, i: 6, l: 4}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 22\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(650\/39)*-8. Put t, 3, 2, -5 in decreasing order.\nAnswer: t, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 131 = -y, -4*y = -4*w - 1020261 + 1020205 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3) + (1888\/2760)\/1. Is p less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9343 - 2.\nAnswer: -9345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 6*v**2 + 50*v + 31. Is f(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-30) - 69\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169964?\nAnswer: 2, 42491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + r - 6. Let y(c) = -43*c**2 - 5*c + 30. Let p(x) = 5*t(x) + y(x). Let m(n) = -27*n. Give m(p(l)).\nAnswer: 1026*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h. Let u(j) = 2*j. Let c(a) = -5*u(a) + 2*w(a). Let m(l) be the third derivative of l**4\/6 - 74*l**2. Determine c(m(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 16. Let j be m(7). Put -4, j, -3 in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o + 3. Let v = -10 - 6. Let x = v - -16. Which is the second smallest value? (a) 5 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*a**2 - 66*a**2 - 46*a**2 + (0*a + 0*a + 2*a)*(-371*a + 228*a + 204*a) - a**2 + 4*a**2 - a**2 to the form l + z*a**2 + q*a and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3\/7, -0.3, 1, 8\/9 in increasing order.\nAnswer: -0.3, 1\/3, 3\/7, 8\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 13. Let a be (-1)\/g + 5\/10. Suppose a = -t + 1 + 5. Calculate the lowest common multiple of 7 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspzesssc. What is prob of picking 1 p and 1 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18d (base 14) in base 11?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.391921 rounded to two decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.5985 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -72b (base 16) in base 14?\nAnswer: -951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 306*j - 7371. Determine x(-22).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -0.1, -0.3, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308 - 19 + 337)*(2*f**2 - 2*f + 2*f) - 7*f**2 - 14*f + 14*f.\nAnswer: 1245*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 5*l**2 - l - 6. Let o be f(6). Suppose -16*d + 6218 - 6058 = 0. Solve 3*v = 2*b + d + 6, 0 = 2*b - 5*v + o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k + 18. Let b be r(-19). Suppose 13*a - 2814 = -b. What are the prime factors of a?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqgeeqeqg. What is prob of picking 2 g?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 439?\nAnswer: 5\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(10\/3)\/c*c**(3\/4)\/c)\/(((c*c**1*c)\/c*c*c)\/c*c)**(-2\/79) assuming c is positive.\nAnswer: c**(3019\/948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12112102 + -201110?\nAnswer: -20020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d + 5*z - 33, d + 12 = 2*z. Which is the closest to -2\/13? (a) 5 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3885 divided by 113012?\nAnswer: -3885\/113012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**2 + 0 - 3\/70*m**5 - 1\/105*m**6 - 1\/21*m**3 - 1\/14*m**4 - 5*m. Let w(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9882375 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 30 = 3*d, -n + 4 = d - 5*n. Put d, -3, -2 in decreasing order.\nAnswer: -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -7*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12410)\/(-438))\/((-34)\/(-18))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 16 = -2*f + w, 5*w - 15 = -f. What is the second derivative of -5*g**2 + f - 11*g - 5*g**3 + 2*g**3 - 12 wrt g?\nAnswer: -18*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x + 733. Determine s(61).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irrr when four letters picked without replacement from {i: 2, r: 10}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Suppose -15 = -10*j + 5*j. Let g be 14*j\/(-7)*-2. Let c(m) = -2*m - 12 + g. Determine w(c(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 324179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -69 + (-2 - (-38240)\/1472)\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 556 and 4.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*y**3 + 2*y**4 - 14*y**3 - 2*y**2 - 492*y - 2 + 490*y in the form h*y**2 + z*y**4 + v*y + f + o*y**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*w + 156*w - 2*w**2 - 124*w + 4*w**2 + 5*w**3 to the form k*w**3 + s + u*w + o*w**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 204*g - 8*g - 106*g - 3510 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 1985*w\/3 + 3982.\nAnswer: -(w - 1991)*(w + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r**4 + 240*r**2 + r**3 + 31*r**3 - 65*r + 16*r**3 + 321*r - 4*r**4 = 0 for r.\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1981*i**3*y**2 + 2*i**3*y + i**3 + 2*i**2 - 2*y**2 + 3100 wrt i.\nAnswer: -11886*y**2 + 12*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*y = 378, 2*l + 238 = 4*l - y. Solve -38*i - 36 = l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1. Let n(o) = -3*o**2 + 3. Let m(v) = -n(v) - 2*u(v). Let l be m(1). What are the prime factors of 33\/3 - l\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -217 and 651 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q - 9. Let v(y) = -1567*y. Give v(d(w)).\nAnswer: 4701*w + 14103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*o + 40 = -158*o + 4*u, 0 = -3*o + 171*u - 2232 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691656 is divided by 182.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -174213, -696548, -1567105, -2785884, -4352885, -6268108?\n\"Answer: -174111*l**2 - 2*l - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 15. Let k(o) = -o**3 + o**2. Let f(q) = -k(q) + x(q). Let n = 3 + -3. Let p be f(n). Solve c + 5*j + 0*j + 11 = 0, p = -5*c - 5*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -1. Let c = b - 0.1. Round c to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let v(s) = 44*s**2 - 46 - 11*s**2 + 9 - 44*s - 19 + 12. Calculate 44*u(m) + v(m).\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 10) + (6 - 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62472024 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8222 is divided by 2228.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3)*-3)\/(-19). Let k(y) = -4*y - 7. Let f be k(-8). Suppose -28 = 3*x - f. Is x at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/21)\/((-4)\/(-6))*511\/(-292).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829.5411ug to nanograms.\nAnswer: 829541.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -181. Let w = l + 115. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 6*r + 29. Let o be j(9). Let n be (1 + o\/(-12))*12\/(-30). Which is the third smallest value? (a) n (b) 0.1 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sizz when four letters picked without replacement from sziiszszzsiizsszzsi?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0555 to three dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3 - 324*q + 339*q + 3. Let i(b) = -68*b**2. What is d(i(a))?\nAnswer: -1020*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1345 and 30.\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y + 6. Let d be m(1). Suppose 0 = -5*o - d*k - 4 + 17, 3*o - 11 = -2*k. Let q be -275 + 6*o\/(-2). Round q to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -b + 36, -4*b + 5*x + 431 = 386. Determine d, given that b - 1\/3*d**2 + 10\/3*d = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -301 - 2579. Let b be ((-16)\/n)\/(4\/3890). Let x = b + -52\/9. Calculate the common denominator of 47\/7 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*o + 4*o + 224, 0 = o - 4. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*k + 2262 = -3437 + 2199 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3232073 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1517 = i, -2*l + 4*l = -4*i + 6108. Suppose i + 75 = -8*m. Let r be (-4)\/6 - (m\/78)\/5. Which is the closest to -0.05? (a) 4 (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -730866*w**5 + 56*w**4 - 87096513*w.\nAnswer: -14617320*w**3 + 672*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - 0) + -2 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 4 - 8*w + 19 - 11*w - 9*w**2 + 6*w. Calculate the remainder when t(-2) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475596 to the power of 1\/2, to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12152 and 78021916.\nAnswer: 6076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1693 + 1699. Suppose -3*d = j, -15 = 2*w + 5*d - 9. Factor -3\/4*k**3 - 27\/4*k - 9\/2*k**w - 3.\nAnswer: -3*(k + 1)**2*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250462661 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: What is the distance between -222991336341 and 0.5?\nAnswer: 222991336341.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885203 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 2*x**2 + x - 2. Let u be n(2). Solve u*b + 3 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 351*s**2 - 237*s - 83101. What is x(-351)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -956846 divided by 7843.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3\/12 + (-55)\/(-180)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518444, 518255, 518066, 517877, 517688, 517499?\nAnswer: 517310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**3 + 5*x**2 + 3*x - 2. Let q be d(-1). Suppose 1372 - 5068 = -q*z. Is 91 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/5)\/((-11)\/(-55)). Let u(m) = m + 5. Let a(k) = -2*k - 11. Let s(z) = r*a(z) - 9*u(z). Let o(i) = -i**2 + 6*i - 2. Let f be o(6). Give s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 11, p: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 80, 111, 144?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*w - 3. Let r = 4\/9 - -2\/9. Let v = -0.43 + 0.63. Sort r, w, v.\nAnswer: w, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -17*w + 4*n - 790, -3160 = 4*w + 4*n. What is the remainder when 90\/(-210) - w\/14 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2. Let c(t) = -30*t**2. What is c(y(g))?\nAnswer: -120*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 255927 to the nearest one thousand.\nAnswer: 256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 1137472*j = 1137470*j - 16, 0 = 5*q - 2*j + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.182, 1, 0.3, -5, -0.2, 0.07?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, -1, -3, 0 in decreasing order.\nAnswer: 0, -1, -3, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*v**4 + 2576*v**3 + 365*v**2 + 13*v.\nAnswer: v*(v + 13)*(14*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**3\/3 + 55*t**2\/2 - 2. Let u(p) be the second derivative of -p**3\/2 + 1664*p. Determine l(u(c)).\nAnswer: 18*c**2 - 165*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let u(z) = -2*z**2 + 14*z**2 - z**2 - 3*z**2. What is u(f(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 0, -4, -132 in ascending order.\nAnswer: -132, -4, -1, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010010 + 0?\nAnswer: -10010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9))**(12\/13)*y**(-2\/23)\/(y**(-3)*y*y))**(-45) assuming y is positive.\nAnswer: y**(-15045\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 + 1343?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450643 is divided by 241?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*17\/(-136))\/((-2)\/(16\/(-116)))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -370 + 373. What is the least common multiple of 102 and x?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 2014533.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Suppose -q = -j + 2. Let l(c) = -39*c**3 - 6*c**2 - 4*c - 3. Is l(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*d - 1231*d = -14652 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 163224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 12. Suppose 0 = 2*f - h - 4, 1 = -f + 3*h + 13. Suppose -4*a + 3*a - 6 = f. List the prime factors of n(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*o + 112, 149 = 5*o + 5*j - 7*j. Solve -2*n + 11*i = 6*i + o, 5*i - 25 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -9763880.\nAnswer: -3\/9763880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1104\/4968 - 777\/(-27).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 4:59 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r*r**0\/r*r)*r**7)**(-1\/32)*(r**6*r*r\/((r**0\/r*r)\/r))**(-45) assuming r is positive.\nAnswer: r**(-3241\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -212112100021 (base 3) to base 10\nAnswer: -463165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaassaasa. Give prob of sequence ssa.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152955 and 11?\nAnswer: 152955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 2, -2417, 4, 25 in increasing order.\nAnswer: -2417, -2, 2, 4, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*b**3 - 9*b**3 - 20 + 20.\nAnswer: 87*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*511\nAnswer: -153.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*r**6 + 5*r**5 - 185*r**2.\nAnswer: 9240*r**3 + 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/51385 and 59\/142.\nAnswer: 7296670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 696956136*j**4 + 206684858.\nAnswer: 2787824544*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*c + 23*c. Sort -2, 3, c, 0.\nAnswer: c, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 7 - 353*o + 349*o + 29. Let b be k(4). Suppose -4*c = 13 - 5, 0 = i - 4*c - 13. Solve 4*r + 18 = 2, i*a - 11 = b*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nonnon.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36874, -71562, -106250?\n\"Answer: -34688*a - 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -436 - -489. Suppose 2 = 3*z - 28. Let d = l - z. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12)\/((-2)\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 0*m**3 + 3*m**3 + (-12*m**2 + 4*m**2 - 9*m**2)*(m - m + 4*m).\nAnswer: -67*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0545358*27\nAnswer: -1.4724666","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (3 + -2) - (-822 - -819) - 65?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -13. Let b = -29 - -21. Let z be b*(r\/(-4) + 3). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -753 (base 11) to base 9\nAnswer: -1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2631820704.\nAnswer: 2, 3, 27414799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-3)*4\/6. Suppose f*m = m - 4*d - 2, 0 = 3*m - d + 8. What is the tens digit of m\/14 - (-5552)\/56?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4\/9*w**4 - 184\/9*w + 64\/9 - 70\/9*w**3 + 184\/9*w**2 + 2\/9*w**5 = 0?\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 9*j + 288 = 204, 34 = 2*q + 4*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 231956064745 + -231956065347.999998508. Let t = 603 + c. Round t to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, y: 7}. Give prob of picking 1 x and 1 y.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1362519 = d, -5*d + 2*i + 5231125 + 1581646 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 13*n = 24. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0 + 1\/2*l**2 - l + 5\/6*l**3. List the prime factors of y(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5*112\/(-120))\/1)\/((-32)\/(-48))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18 and 0.339?\nAnswer: 17.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from wiiwiiiitwiwiwiwiw?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, 3, 0, 76 in decreasing order.\nAnswer: 76, 3, 0, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 8 (b) 2\/91 (c) -0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*t + 9 = 3*t, 3*l - 6*t = 24. Suppose -2*d = -d - 9. Calculate the highest common factor of d and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/4, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7064*c**2 - 7193 with respect to c.\nAnswer: 14128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**9\/60480 - g**8\/20160 - g**7\/5040 + g**6\/144 - g**5\/12 + 3*g**2. Let a(h) be the third derivative of b(h). Determine a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - b + 11, 0*q = -5*q + 4*b + 31. Let i be (1 - q\/3) + 3. Suppose 5*m - 4*h = 6, -3*h - h = 4*m + 24. What is the nearest to -0.4 in i, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -3 (b) -2\/11 (c) -1\/7 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 29*x - 63. Determine s(25).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 255*5\/125 - 10. Let c = 32 + -23. Suppose 0 = -4*n - 3 - c. Sort n, y, -2\/3 in ascending order.\nAnswer: n, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/7, -231199, 5 in increasing order.\nAnswer: -231199, -2, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1303 + 2146 + 2816)*(-6*n + n + 4*n).\nAnswer: -3659*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4961*o - 36217 - 42661 = 13936 + 65938 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g**3 + 8*g - 591 - 592 - 10*g**2 + 26*g**2 - 4*g**4 + 1171 = 0 for g.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67497354, 134994708, 202492062?\nAnswer: 269989416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -542826288 divided by 36.\nAnswer: -15078508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 37*z - 19. Let s be h(19). Let d(u) = u**2 - 7*u + 135. Let r(t) = -t**2 + 6*t - 136. Let y(f) = -3*d(f) - 4*r(f). Is y(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1072, 2090, 3088, 4060, 5000, 5902, 6760?\nAnswer: 7568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/33 or -38165\/32?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 45*g + 22740 = -0*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4\/7 (c) -0.2 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 270154, -3, 0, -1, -115 in ascending order.\nAnswer: -115, -3, -1, 0, 270154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006045438435 to seven dps.\nAnswer: 0.0006045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/51, -23, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -128118*a - 1024935. Give f(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -2\/19 (c) 0.05 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + s = 1 - 2, 3*t - 4 = 4*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 4531307.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2816) + 1 + sqrt(2816) - sqrt(44).\nAnswer: 1 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 11) to base 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6229*d + 20500 = 12248*d - 6224*d for d.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u. Let l = -561501 - -561513. Solve u = q + 3*q + l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68257202*d**4 - 21169213*d**2 wrt d?\nAnswer: -1638172848*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Let y(v) = -7*v + 2. Let h(x) = 155*x - 45. Let m(z) = -2*h(z) - 45*y(z). Let l(b) = b. Determine a*m(j) - 18*l(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 726*c**2 - c + 727*c**2 - 2190*c**2 - 45*c + 727*c**2 as r*c**2 + s*c + p and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - -b8?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**3 - 101*f**2\/2 + 53. What is the second derivative of c(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1140, -1141, -1142, -1143?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42260?\nAnswer: 2, 5, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + -44. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {d: 1, q: 2, v: 1, w: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 20.45838 tonnes?\nAnswer: 20458380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2781?\nAnswer: -834.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 + 1.81. Let z = 9 + -8. What is the closest to z in -2, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 - 101436*f - 1319344 = 0 for f.\nAnswer: -13, 25372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.112 * 57.9.\nAnswer: -6.4848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (32\/12)\/((-35)\/12306)*10\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -2*i**3 - 17*i**2\/2 + 3396*i. Calculate m(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1271.\nAnswer: -3\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-1*2)**2 - (0 + (sqrt(192) + -1)**2).\nAnswer: 16*sqrt(3) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 5584893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 258 = 3*n, -2*n - 106 - 152 = 3*f. Let a = 130 + f. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**6\/180 - j**5\/10 - 3*j**4\/4 + 5*j**3\/6 + 5*j. Let z(i) be the second derivative of u(i). Factor z(q).\nAnswer: -2*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 120\/(-16)*4\/6. Let q(l) be the third derivative of l**5\/60 + l**4\/12 + l**3\/6 + 8*l**2. Give q(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -533 - -0.06\nAnswer: -532.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37040 and 14080.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 320 - 192. Suppose b = 4*l + 4*l. Let c(y) = 2*y**3 + 2*y**2 - y + 2. Let n be c(0). Solve -6 = -n*u - l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/77 and -59\/10?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14002400063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9 = 3*m, 3*w - 5*m = -3*m + 5. Let t be (-2)\/(-6) - 22\/w. Let l = t - -5. Let p(q) = -2*q - 3. What is p(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(24\/180).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5 + 72\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - y - 18 = 0, 0 = -5*u + 52*y - 54*y - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 11*h**4\/12 - 58*h**3\/3 + 1702*h**2 + 2. Determine r(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40077\/(-146))\/(-61)*(-2 + (-8)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656 is divided by 436.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83975260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 921*f**7\/70 + 815*f**3\/2 - 1494*f**2. Find the first derivative of r(s) wrt s.\nAnswer: 11052*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -495*o**2 - 3657*o**2 - 2*o**4 + 2 - 2*o**3 + 96*o + 24*o - 119*o in the form v*o + j*o**4 + k*o**2 + h + r*o**3 and give k.\nAnswer: -4152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3 - 2*f + 2 + 3*f + 2. Let b(g) be the first derivative of 4*g**2 + 0*g**2 + 1 + 6*g + 1. Determine b(l) - 6*q(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6209076.3000044 - 6209078. Let l = 0.19 + -1.89. Let s = l - f. What is s rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*v**2 + 10*v**2 + 13*v - 16*v**2)*(3 - 3 + v) in the form z + j*v**3 + x*v**2 + f*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1712717 <= -3425435\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33008201.\nAnswer: 131, 251971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let x(l) = -2*l**v + 30*l - 30*l. Let b(o) = o - 3*o - 3*o + 6*o. Calculate b(x(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*j - 1649539 = 124327 + 103414. List the prime factors of j.\nAnswer: 5, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72437, 144900, 217371, 289856, 362361, 434892, 507455?\nAnswer: 580056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from momjmjchhhhjj. What is prob of sequence co?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -555 - -21141355?\nAnswer: 21140400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 2}. Give prob of picking 2 d and 1 f.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 354, 284, 170, -6, -262, -616, -1086?\n\"Answer: -3*z**3 - 4*z**2 - 37*z + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + -0.5. Let f = v + 2.1. Let n be 5\/15 - 5\/(-21). Which is the biggest value? (a) f (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j + 1. Let o(r) = 14*r + 4. Determine 7*m(x) - 2*o(x).\nAnswer: 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1484 and 3444?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 3*w**3 + 3*w**3 - 4*w**3.\nAnswer: 2*w**3 - 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:34 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 161 + 11e?\nAnswer: 27f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 12 in ascending order.\nAnswer: -6, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18)\/(-171) + (-586)\/(-209) and 4\/(-26) + 1164\/(-39).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4120235558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 56*t + 76. Give p(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, s: 2, e: 4, i: 2}. What is prob of sequence iw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1, 65910.\nAnswer: -1, 2\/13, 65910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -n + 39 - 247, 0 = -n - d - 196. Let w = n + 209. Solve f + w = 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 10*m + 12)*(-97 + 97 + 59*m**2) - 4*m**3 + 6*m**3 + 0*m**3 - 3*m**3 to j*m**3 + i*m + z + s*m**2 and give j.\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 3) in base 8?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 19 - (-1 + 10 - (-1 - -8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249890648 and 39832?\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 divided by -131307.\nAnswer: -128\/131307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 f when four letters picked without replacement from {f: 2, z: 5, e: 3, g: 1, q: 7}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 26*l**2. Let d(x) = 3*x**2 - 4*x - 4. Let b(u) = -13*u**2 + 18*u + 18. Let r(w) = -2*b(w) - 9*d(w). Give r(a(f)).\nAnswer: -676*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + 0 + (-22 - 6). Which is bigger: -28 or w?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.498 times -3594\nAnswer: 1789.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-4)\/(-20)*-4. Let y be (u\/10)\/((-2)\/10). Let q(h) = -h**2 - 4*h - 2. Let z be q(y). Solve 0*t = -z*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 7*l + 1. Let s be 0 + 7\/(21\/6). Let a be -10 + -1 + s + 2. Does 17 divide b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 6*r + 30. Determine t(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2661 (b) -1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*t - 6*t**2 - 48*t + 69*t + 95 + 4*t - 95 - 3*t**2 + (2 + 4 - 4)*(-4*t**2 + 3*t**2 + 0*t**2) - 1 + 1 + t**2.\nAnswer: -10*t**2 - 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + ((-18)\/4)\/(-3)*-2. Solve 4*x = s*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8498\/4856)\/(42\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 14286 = 4*l, 7*n = 10*n + l - 14286. Suppose 49*c - 4499 = n. Calculate the highest common divisor of 216 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 - q - 15. Let o be f(0). What are the prime factors of 36\/(((-12)\/90)\/(24\/o))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 m, and 1 q when three letters picked without replacement from rlnlrmrrqq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.035 - 33.965. Let v = -34.5 - p. Let r = 61\/132 - 6\/11. Put r, v, -4 in descending order.\nAnswer: r, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6417889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) - 1\/12. Let v = -0.4 + 1.4. Let q be 1*(2 + 4) - 4. Which is the second biggest value? (a) q (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**4 - 12973*t**3 - 119486?\nAnswer: -8*t**3 - 38919*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 41 - 6*k + 38)*(6 - 4 + 0)*(-127 - 6*k + 19*k + 128).\nAnswer: -156*k**2 - 38*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2503 - 1012?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c = 0. Suppose c*a = 4*r - 2*a - 496, 3*r - 3*a = 375. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0)\/((-1)\/6). Let z be 4\/x - 32\/72. Factor 8\/9 + 10\/9*m**2 + 16\/9*m + z*m**3.\nAnswer: 2*(m + 1)*(m + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**4 + 26*m**4 - 14*m**4)*(4*m - 4*m + 4*m + (-m + 4 - 4)*(2 - 4 + 1)).\nAnswer: 95*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 2, a: 4}. What is prob of sequence nqaq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 6853330\nAnswer: 7\/6853330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*m*w**6 + 105*m*w**2 - 129*m + 18913*w**6 - 4*w**2 + 202*w + 1 wrt w?\nAnswer: -10800*m*w**3 + 2269560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**13\/h**(-11)*h**(-1\/27)*h\/h**(7\/6)*h)**(3\/23) assuming h is positive.\nAnswer: h**(1339\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2. Let w(q) = 11*q - 355. Calculate t(w(k)).\nAnswer: -363*k**2 + 23430*k - 378075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 828149 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2130 divided by 5\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12738 - -18688. Does 25 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((141900\/(-129))\/275)\/(26\/33)\nAnswer: -66\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 151000 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - ((-1567818)\/40)\/(-9). Let o = v + 4355. Find the common denominator of o and -49\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 18 = 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 316553 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 are the prime factors of 1298156891?\nAnswer: 1298156891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - (10 + -8 + (-12 - -6)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 51. Find the common denominator of (r\/48)\/((-22)\/152) and 63\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 10*r - 6. Let t(v) = 0*v + 2*v**2 + 18 - 8*v + 14 - 26. Let f(h) = 4*t(h) + 3*z(h). Give f(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84049131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 - 8 = 0, 0 = -j + 4*a + 13. Let p(u) = 9*u + 328. Calculate the common denominator of j\/3 + (-151)\/30 and p(-38).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2. Let s(k) = -549900*k. Calculate n(s(u)).\nAnswer: 1209560040000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71 + -79?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/11, -0.1, 469?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 16, f: 4}. What is prob of picking 2 x?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15*g - 103. Give p(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = a - 3*l - 0*l, 4*a - 57 = -5*l. Suppose -4 = 2*n - a. Let d(o) = -5*o + 1. Give d(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -718240.7 rounded to the nearest ten thousand?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/40*102\/(-255)*4*(-85)\/408\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:46 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 + 2*u. Suppose -4*j = -33 - 23. Suppose 5*o + j = 4. Determine d(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 84, 53, 22, -9?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -32*j + 662. Give h(20).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4418247298?\nAnswer: 2, 2209123649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**3 + 2*y**2 + 472*y - 944. What is i(2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9483, -37194, -83133, -147300?\nAnswer: -229695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 40*c - 69. Let x be r(-18). Suppose 8 = 3*j - 5*j. Let q = j - -9. Sort x, -3, 2, q.\nAnswer: -3, 2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 7526 = -63*d. Calculate the remainder when d is divided by 66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/(-8) - 12\/(-48) - (-26 - 6). Solve 109*i = 106*i + c for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3675*o**5 + 47985*o**4 + 54183*o**3 - 320421*o**2 - 18438*o - 264 = 0.\nAnswer: -11, -4, -1\/35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85455677?\nAnswer: 1619, 52783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 128 + 8. Let n = b + -34. Let s be (-40)\/(-18) + n\/(-81)*3. Solve -k + s*x = -2*k - 15, 10 = 2*k - 4*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*x = -7*x - 3, -x = -5. Let m = s + 25. Suppose m = -d + 75. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + -2 + 2 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}