diff --git "a/data/dm_maths/full_data/10741_11255.jsonl" "b/data/dm_maths/full_data/10741_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10741_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the fifth root of 13383 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-3 + 25)*-1. Suppose -i + 7 = s, i + 4*s - c = -0*s. Suppose -i*z + 0*z = -45. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 314.00000655 - 314. What is i rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 68.92117g?\nAnswer: 0.06892117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17923898 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/7, -3\/8, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4459*a - 673 = -4411*a + 911 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -66 + 71, 5*i - 34245 = 3*f. List the prime factors of i.\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w = -w + 911 - 1163. Let d(t) = -2*t**2 - 8*t + 10. Calculate d(w).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1148 and -1145 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -220, -761, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/16*((-66)\/957 - 2556\/(-58))\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 - -11 - 4\/2. Suppose o = -7*s - 76 - 106. Let m = 31 + s. Let u(y) = -2*y + 2. Give u(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(-a**4 - 2*a + 2*a) - 2*a**4 + 21*a**4 - 2*a**4 + (1 - 1 + 2*a**2)*(-2*a**2 + 0 + 0) + 3*a**4 + 3*a**4 - 2*a**4)*(-4*a + 3*a + 3*a).\nAnswer: 30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + 0 + sqrt(99) + 0) - ((1*sqrt(99)*2 + sqrt(99) - (sqrt(99) - (sqrt(99) + 2*sqrt(99)*2))) + 4))**2.\nAnswer: 24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 240 = -4*w + 164, 3*w + 2*x = 79 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 20*d**2 - 19*d + 54. Let w be z(-21). Suppose w*t - 42*t = -99570. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 33.56 (c) -5 (d) 4 (e) -3\/5 (f) 0.1 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36325 + 40*j**2 - 36325 to y*j**2 + n + s*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = -2*t, 4*t - 8*t + 26 = j. What is the remainder when 29 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 1341 + 1260. Suppose -n*o + 158*o = 1000. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) - 1*sqrt(342))\/sqrt(6))\/sqrt(3) + 1 + -3 + ((sqrt(19) - (sqrt(304) + 5)) + sqrt(19))*-1.\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125787221 by 1771651.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*k**4 - 943*k**3 + 323*k**2 + 2*k + 77?\nAnswer: 2736*k - 5658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 57*x - 13. What is u(-29)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 6*l**2 - 11*l + 2. Calculate y(-5).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 85?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 50*z - 808. What is g(-63)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 626, -4091 in ascending order.\nAnswer: -4091, 2, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 13 = 2*w. Suppose 2*a + 10 = w*p + 37, 0 = 3*a + 3*p + 12. Sort a, -1, 2.\nAnswer: -1, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63844 greater than or equal to 63846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*t - 2418 = -6078. Is -612 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -10\/11, 153, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggmygmgm. What is prob of sequence ggg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -6.5025?\nAnswer: 6.2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.1229697.\nAnswer: -0.01229697","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -56 * -6.1687\nAnswer: 345.4472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4912 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuuueupxuxouuuxpeuo. Give prob of sequence uuo.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (98 - 94) + ((-8)\/(-104))\/(2\/(-138)). Is -1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2945)\/5187 - 12\/(-42))\/(2\/27) and -9\/286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(833) + 2 + sqrt(833)))**2.\nAnswer: 224*sqrt(17) + 13344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8088, 64694, 218336, 517530, 1010792?\n\"Answer: 8086*i**3 + 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -134. What is the third smallest value in 3, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151\/620 + 1\/155. Let u = g - -9\/28. Let n(k) = -k - 5. Let z be n(-5). Sort u, z, -5, 1\/2.\nAnswer: -5, z, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j - 9. Let y be f(-2). Suppose 3*t = y*t - 30. Solve r = -t - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 443 + -244. What are the prime factors of z?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 + 66 - (7 - 2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 98*k - 2710. Let m be j(27). Put -2, 1, 0.14, m in decreasing order.\nAnswer: 1, 0.14, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34530701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81)\/(-18) - ((-1)\/(-2) - -1). Suppose 4*a + 9 + 6 = -h*q, 5*q + 25 = -a. Suppose -4*x + 1 = 5. Put 31, 5, q, x in decreasing order.\nAnswer: 31, 5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 8. Let x be b(-7). What is the remainder when ((-57)\/x)\/(1\/2) is divided by (-1 - -6 - -2) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1501439 and 405728.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siidwdiwlbbibb. What is prob of sequence wddi?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 32, 2, 0, -1, 48 in increasing order.\nAnswer: -4, -1, 0, 1, 2, 32, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 30384180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -59 - -32 - (1 - -24)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3762*v*w**4 - v*w**3 + 5*v*w - 12*w**4 + w**2 - w + 154 wrt w.\nAnswer: -90288*v*w - 6*v - 288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l + 0*l**3 - 2 + 0*l**5 + 0*l**4 + 5\/2*l**2 + 1\/2*l**6. What is the second derivative of n(b) wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, u: 1, c: 4}. Give prob of picking 1 t and 2 c.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 2 + i**2 + 4 - 8*i**2. Let a = -150 - -163. Let t(c) = -15*c**2 - 2*c + 4. Calculate a*p(u) - 6*t(u).\nAnswer: -u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/(-10) + (-2540)\/6350 - -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6 - 2*z + 2*z + 3 - z. Let j be v(-5). Suppose 3*b - 3*a - 50 = 4, 72 = 4*b - j*a. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a millennium in years?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 7*j + 14. Let h be i(3). Let c be 66\/88*(h + 0). Let 3\/4*y**5 - 3\/2*y**3 - c*y**4 + 3\/4*y - 3\/2 + 3*y**2 = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1259*v - 32. Is w(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36*(-1)\/(-12)*4\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/3 - 28*m**4\/3 + 122*m**3\/3 - 232*m**2\/3 + 200*m\/3 - 64\/3 = 0. Calculate m.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -29*k**2\/2 - 68*k - 103. Find the first derivative of c(v) wrt v.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 + c**3 + c**4 - 3 - 10*c - 3*c**2 + 5*c**2 to x + n*c**2 + m*c**4 + y*c**3 + d*c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3309, -3, -1, -2, 40 in decreasing order.\nAnswer: 40, 5, -1, -2, -3, -3309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-17)*s**19*(s**(-10))**(4\/13) assuming s is positive.\nAnswer: s**(441\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -34*a**2 + 129*a - 24. What is r(8)?\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3014 (base 5) to base 12.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12659998\/(-6) - (-5)\/(-15). What is i rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/6 of a hour?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.7 + -6. Suppose 5*z + 46*i = 42*i - 42, z + 5*i + 21 = 0. Which is the second biggest value? (a) 2 (b) l (c) z (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 58. Suppose -20*p + 17*p - z = 0. List the prime factors of -297*((-40)\/p + -3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*q + 130*q = 0. Let 4\/7*b**2 + q - 12\/7*b = 0. Calculate b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - 1 - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 70091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/57? (a) -171 (b) 2\/3 (c) -2\/25 (d) -2\/9 (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/97 in -3, 1, 3.5, 27\/16, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1.26, 16, -4\/35?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -74, 0, 4, -4 in increasing order.\nAnswer: -107, -74, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*j - 81 = 4*j, -5*t + 95 = 5*j. Suppose 4*u - l = 11 + 11, -2*l = -4. Let r = 12 - u. What is the remainder when t is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*v = 228*v - 444 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 7*k + 295264 = 0. Let c = k + 334736. Round c to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (26 - -38) - -12?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1176 and 6762?\nAnswer: 27048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:50 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252*((-3)\/(-9))\/((-515)\/515).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 13*p - 11 = -10*p, 4*a - 2*p = 26. Put -3, a, -5, 0 in descending order.\nAnswer: a, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.309, 3, -5.\nAnswer: -5, -0.309, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.373 - 0.3057819\nAnswer: 0.0672181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200020202 (base 3) to base 7.\nAnswer: -53534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-181*c + 53*c - 49 + 113*c + (0 + 1 + 0)*(2*c - c - 3*c))*(-1 - c + 1) as n*c**2 + j + d*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -57. Find the third derivative of 21*b**4 - a*b**2 + 8*b**2 - 17*b**2 + 2*b**2 wrt b.\nAnswer: 504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -913 = 5*a - 903 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2985, 2932, 2853, 2748?\nAnswer: 2617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 370*d**3*t**3 - 15032*d**3 - 8*d*t**4 wrt t.\nAnswer: 1110*d**3*t**2 - 32*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 9 = -3*r. Suppose -r*i = 12, i = -5*x - i + 217. Suppose 4*w - x = 3*c + 119, 0 = 5*w + 3*c - 205. What is the remainder when w is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 12. Let l(c) = -5*c + 49. Let u(b) = -2*l(b) + 9*m(b). Let s = -14 + 6. Give u(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {n: 7, p: 1, c: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*i**2 - 4059*i**2 + 4338*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1\/1 - (-20 + 18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22200 (base 3) to base 4\nAnswer: -3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 3. Let o be n(4). Suppose 48 = 3*i + 3*c, 24 = 3*i - 0*c - o*c. Let p = i + -9. Solve l = -0*l + p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1))\/(2\/(-1)). Let d = -18 - -18.3. Let u = -0.3 + d. Which is the closest to u? (a) -5 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/3 of a minute in seconds?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 3*v**2 + 5*v - 1. Let l be d(4). Suppose -3*p + 5*p - 30 = -2*a, 0 = -2*a - l*p + 33. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 + 0.4. Suppose -610*b + 609*b - 418 = 0. Let f = 2091\/5 + b. Sort v, -9, f in ascending order.\nAnswer: -9, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.693591 rounded to one decimal place?\nAnswer: -118.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 + 7.86. Let r = j + -0.5. Let u = 7.00000006 - r. Round u to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 7:32 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 - 3*y - 5. Let t be 1\/(-2) + (-63)\/(-14). Suppose 2*a = -t*b + 2, a - 3*b - 13 = b. Determine s(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4791)\/(-78253))\/((-3)\/7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 33. Let a = -8 - g. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.1, 5321\/6, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*((-690)\/80)\/23?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15480231 and 1482?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 6:32 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-8))\/((-20)\/(-40)). Solve a = 4*m + 10 - 7, 0 = -w*m - a - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w + 4*w + 16*w + 7*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 + 970*v\/13 - 296\/13 = 0.\nAnswer: 4\/13, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 246?\nAnswer: 6396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(539) + 0)**2*-5 + ((4*(sqrt(11) + sqrt(275)))**2 - (sqrt(99) + 2*sqrt(99))\/sqrt(9)).\nAnswer: -3*sqrt(11) + 14421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {g: 1, f: 14}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5303 + 5399. Calculate the remainder when 1240 is divided by r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1004297*i - 1004297*i + 579*i**2)*(0 + 2 + 0)*(2*i + i - i)*(0 + 0 + i).\nAnswer: 2316*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**8\/14 - 5*k**4\/12 - 4*k. Find the third derivative of a(v) wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/24 - 8*a**3\/3 + 63*a**2. Determine i(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24025\/2 + -12332. Let b = d - -339. What is u in -6*u**3 + b*u**2 - 33\/2*u + 3 = 0?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28686031 greater than -28686037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -5*j - 1658475. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 543, 2186, 4925, 8760?\n\"Answer: 548*u**2 - u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3489*c - 25. Let z(j) = 61061*j + 440. What is -88*w(b) - 5*z(b)?\nAnswer: 1727*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k**2 + k + 1. Let h be g(-1). Suppose 2*o = t - h*o - 8, 3*t - o = 4. Solve t = -4*z - 0*a + a + 11, 0 = -z + 2*a + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4) - 138\/(-24). Suppose -l*z - 44 + 279 = 0. Let n = z + 68. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157406602228.00019 + -157408095354. Let p = -1493110 - c. Let s = -16 + p. What is s rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 9. Let n(k) = 6*k**2 + 30*k + 29. Let w(z) = -z**2 - 6*z - 6. Let u(r) = -2*n(r) - 11*w(r). Let m be u(c). Solve 3*i - 5 = m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5492359, 10984721, 16477083, 21969445, 27461807?\n\"Answer: 5492362*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:32 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10296 and 793221?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 13) in base 8?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*r - 8. Let x(b) = 26*b - 1062. Let w be x(41). Suppose -w*d - y = -2*y - 311, -r*y - 12 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -106\/5963055 and 47\/21?\nAnswer: 5963055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004.4 times -45?\nAnswer: -45198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3\/2 + 1421*v**2 - 28345*v\/2 + 35400 = 0.\nAnswer: 5, 2832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10167)\/(-78) - 2) + (-2)\/4. Let k = 128 - n. Which is the second biggest value? (a) 3 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -735*n. Let s(u) = -u. Determine s(f(k)).\nAnswer: 735*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22406 + 10922 - 12928 = -1436*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 4, a: 2}. Give prob of picking 1 l and 3 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (sqrt(833) + sqrt(833) + 1)**2 + sqrt(833) + 0.\nAnswer: 35*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*90\/125 - -2)*5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/(6\/(-36)). Let i = 335 - 176. Let d = i - 147. Solve 0 = -w*q + 6*q - d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c4 + -c521?\nAnswer: -c04c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 931*b = 932*b - 23853, -3*o = 3*b - 14319. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1596 is divided by 322?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 3.0804, -0.4, 88.7, 0.3 in increasing order.\nAnswer: -0.4, -3\/8, 0.3, 3.0804, 88.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2375*j**3 + 4 - 5780*j**3 - 113*j - j**2 + 560*j**3 + 0*j**2 - 2*j**2 wrt j?\nAnswer: -45570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 0.06, -2\/35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 83*l**2 - 7*l + l**4 + 85*l**2 + l as a*l**3 + f + r*l + t*l**2 + d*l**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*h = 6*h + 12, 4*h - 86 = -5*f. Suppose 4*a - 5*z + 13 = 0, 2 = 3*z - 13. Solve -a*b = -o - b + 7, o + 5*b + f = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 - 15 = 0. Let f(s) = -s**2 - 24*s - 15. Does 21 divide f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.98176862 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:19 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3016c2 + -a?\nAnswer: -3016cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 115*r + 380.\nAnswer: 5*(r + 4)*(r + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f**2 + 59*f - 21. Let i be n(7). Find g, given that -3\/2*g**4 + i*g**3 - 3\/2 + 3*g**2 + 0*g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/33 + (59450\/1650 - 27).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/32504 and -17\/14?\nAnswer: 227528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -723*q**3 + 2591*q**2 + 10381 - 10381 wrt q.\nAnswer: -4338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 = 2*m + 9, 0 = -4*i - 4*m. Let k = i - 0. Suppose 0 = k*o - 0*o - 12. Calculate the remainder when 7 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/756640 and 89\/396.\nAnswer: 74907360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 9) to base 4.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/10 - (-153)\/85. Solve -14 = -z*y - 2*v, -4*y - 3*v = -26 + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4921155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 45*a**2 + 413*a + 29. Let f be k(13). Let t = -6 - -8. Let x = t + 1. Sort 0, f, x in increasing order.\nAnswer: f, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-3) - -2)*-1. Let f = c + -4. Let q(m) = m**3 + 3*m**2 - 2*m + 1. Let j be q(f). Solve w = -3*u + 2*u + 3, w = -2*u + j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020429 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 95*g**2 + 926*g + 78. Give d(11).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -54*m**2. Let v(b) = 15 + 13 - 28 - 2*b. Calculate f(v(g)).\nAnswer: -216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 4*r**2 + 2*r - 1. Determine d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1656\/81)\/(-46)*(-1)\/(-4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 214 + 100*n + 1\/2*n**2. Let k(u) = -u. Give k(g(s)).\nAnswer: -s - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 18*f**2 - 87*f**2 - 3*f**3 to g*f**3 + x + l*f**2 + b*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 69. Let w be r(14). Let a be ((-8)\/(-24))\/((-5)\/21). Which is greater: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 106*s + 105*s + 7, 0 = 4*i + 4*s - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (-36)\/48*(11 + -3) - -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1380 divide 500759220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 3. Let b(h) = 1. Let l(w) = -w - 1. Let r be l(-5). Suppose -r*o + 0*o + 5*p = 11, -5*p = 4*o - 19. What is o*u(q) + 2*b(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 6*t - 76. Let v be k(-7). Let w = -15 + v. Suppose 0 = 2*g + 2, 5*g + 40 = -0*u + u. What is the greatest common factor of u and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045648788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:59 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3658, -3659, -3660, -3661, -3662, -3663?\n\"Answer: -y - 3657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -4*s**3\/3 - 5*s**2 + 3*s + 22. Let j(a) = 3*a**2 + 7*a - 2. Calculate 7*j(r) + 5*w(r).\nAnswer: r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 72\/40*(-6000)\/(-545400)\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:26 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -455.259566 times 3?\nAnswer: -1365.778698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2574 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 8.523?\nAnswer: 17.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22552107 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84420\/3618*(-6)\/(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + 38*l**2 - 81*l + 65. Let v be p(-21). Solve 10 = -5*i - 3*a - 5, -v*i - 6 = a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -379\/605?\nAnswer: -379\/605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*i - 282*i + 558*i + 64 + 77 - 28.\nAnswer: i + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 53. Determine l, given that -4*l**3 + 4*l + 2*l**v + 0*l - 2*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = o + 1285 + 95, -5*k - 3450 = -2*o. Let f = k + 711. Calculate the greatest common factor of f and 672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102*u**2 - 98*u**3 - 37*u**3 - 24*u**3 wrt u?\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/903 and -25\/3?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 7*s**4 + 12*s**3 - 24*s**2 - 16*s - 4. Let v(l) = 0. Calculate l.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 5028.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8055312 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekkg when four letters picked without replacement from {e: 5, n: 2, t: 1, p: 2, k: 6, g: 1}.\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 12:31 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4637*m**3 + 85*m**2 + 265497 wrt m?\nAnswer: 13911*m**2 + 170*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252) + -1)*-3*2 + 2)*-5.\nAnswer: -40 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.764 and 0.2.\nAnswer: 1.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14.14915ml?\nAnswer: 0.01414915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*h + 8*h. Suppose -p - 51 = -55. Suppose p*u - 23 = 5*a + 4, -6 = -u + 2*a. Solve 0 = -4*f + h*z + 8, -3*f + z = -u*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/5 + 611*w\/5 = 0. Calculate w.\nAnswer: -611, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3718*z + 3699. What is j(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/2 + 595*n**2\/4 + 224*n + 299\/4 = 0. Calculate n.\nAnswer: -1, -1\/2, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1118 + -1118. What is the closest to -1 in -3, k, -0.062?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172773.7 rounded to the nearest one hundred?\nAnswer: 172800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4.7. Let m be 4\/((-88)\/(-45)) + 471\/(-314). Sort m, 5\/2, c.\nAnswer: c, m, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let k(q) = 35 - 35 - 9*q. What is s(k(w))?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54149.1748 - 1.1748. Let d = y - 54146.9999925. Let z = d - 1. What is z rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 6208*u - 6206.\nAnswer: -2*(u + 1)*(u + 3103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2622b9 - 4?\nAnswer: -2622bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*h + 12, a = 5*h + 4*a + 12. Suppose -i - 5*o + 25 = 6, h = 2*o - 8. Let l = 38\/77 + -7\/11. Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**5\/40 + 7*g**4\/8 - 13*g**3\/4 + 44*g**2 - 29. Let r(f) be the second derivative of t(f). Let r(s) = 0. What is s?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 19, 23, 27, 31, 35?\n\"Answer: 4*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2\/6 - 937*x\/6 - 6683 = 0.\nAnswer: -41, 978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-56) - 175\/(-140). Which is the closest to 0? (a) u (b) 5 (c) -18\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1660*r**2 - 3342*r**6 + 2371*r**2 + 1924*r**2 wrt r?\nAnswer: -401040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from wpwqabwqpppbwbwbbp?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 13. Let m = 39 + g. Let d(y) = -5 + 5*y**2 + 6 + y + m*y**2. Give d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 11:35 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 4*y = 96. Calculate the lowest common multiple of 4 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-191520)\/(-55) - 26\/143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34561\/6 + -5776. Calculate the common denominator of 17\/13484 and p.\nAnswer: 40452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(20) + (sqrt(5) + sqrt(60)\/sqrt(3))**2.\nAnswer: 2*sqrt(5) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1. Let p(i) = 4*i - 3. Let o(c) = 3*c - 3. Let r(g) = 3*o(g) - 2*p(g). Let t(q) = 4*l(q) - r(q). What is the remainder when 13 is divided by t(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2785*k**3 + 7*k**2 - 14*k - 21. Let n(l) = -1392*l**3 + 4*l**2 - 8*l - 12. Give -7*n(a) + 4*p(a).\nAnswer: -1396*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 12) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 527, 583, 639?\n\"Answer: 56*s + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - ((-35 - -5 - -28) + 1 + 17)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvv. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**2 + 71*n + 307. Calculate o(-4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 2*g - 9. Determine f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79145.52 litres in millilitres?\nAnswer: 79145520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535697570?\nAnswer: 2, 3, 5, 11, 61, 76289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*o = 465, -4*y - 2*o - 86 = -1966. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 5*y**2 - 6*y - 3. Calculate u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671289 is divided by 5547?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -14*t + 901. Give a(70).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 4. Suppose 2*y - 3 = -3*w + y, -4*w - 4*y + 4 = 0. Let t be 1 - (4 + -3)\/w. Let l be p(t). Solve -h - l = -1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (7 + -11 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -60*w**2. Let q(b) = 5*b**2. What is a(q(s))?\nAnswer: -1500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33417?\nAnswer: 3, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 415\/6 + -269\/4. Calculate the common denominator of v and (-87)\/232 - (-1106)\/1200.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 4*u**7\/105 - u**5\/30 + 5*u**4\/24 + u**3\/2 - 40*u**2. Find the second derivative of g(m) wrt m.\nAnswer: 96*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*g + 37. Suppose -2*l + 6*l + g = 0. Let z be ((-20)\/(-15))\/(l\/(-6)). Solve z*m = m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21165 and 2739.\nAnswer: 232815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*l**4 + 2*l**3 - 4*l**2 + 10?\nAnswer: 3696*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 445?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2201139*x**5 + 3*x**4 - x**2 + 1638008*x wrt x.\nAnswer: 132068340*x**2 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.546? (a) 0.5 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4867728 is divided by 199?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3357 and 3?\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3840)\/(-45) + (-4)\/(-6).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 2*o**2 + 4*o + 3. Let j(y) = -3 - y - y + y. Let r be j(0). Give s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*p + 24. Suppose w = 4*w + y + 33029996, 4*w = -p*y - 44039984. What is w rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6601, -18031, -34283, -55357?\n\"Answer: -2411*u**2 - 4197*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -60544110 divided by 6?\nAnswer: -10090685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2286 equal to -121209\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(275)*2 - sqrt(275) - sqrt(275))*5*6*1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -12*i + 7. Let g be y(0). Suppose -14172 = -4*u + 3*r, -g*r = -5*u - 3*r + 17715. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5335033125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*i**2 + 5*i - 5*i to the form v*i + h*i**2 + s and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 + 46*w**2 + 113*w**3 - 16*w**2 - 24*w**2.\nAnswer: 113*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1742 greater than -1742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/91132581 and 27\/30377527?\nAnswer: 91132581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 763627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58790 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -44. Suppose 0 = -5*s - y + 30 + 16, 0 = -b*s - y + 28. Let i(c) = -c**2 + 10*c - 7. Determine i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47*(-3)\/12)\/(8\/256*8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 889*g*j**3 - 791*j**3 + j**2 wrt g.\nAnswer: 889*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-831)\/(-13))\/(-3) - (2905\/1079 - (-22 + 25))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l - 52. Let f be q(12). What is the remainder when 3\/(-4)*(f\/(-2) - 6) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -400 + 84. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 5726400*k**3 - 22905536*k**2.\nAnswer: -4*k**2*(k - 1431596)*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k*k\/((k*(k*k**0*k)\/k)\/k))\/k)\/k)**4\/((k\/((k\/(k\/k**(2\/3))*k)\/k*k))\/(k*k**2*k)) assuming k is positive.\nAnswer: k**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.5 (b) -2\/9 (c) 6 (d) -7.28 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546\/117*18\/(-156) - -1 - (-20)\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/((9\/(-6))\/(96 + -93)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(2*sqrt(5)) - ((sqrt(1100) + -1 + sqrt(1100) - sqrt(1100))**2 + sqrt(1100))) + 4.\nAnswer: -1097 + 21*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90141 + 169179. Suppose -m = 4*o - 22*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -1, -308 in descending order.\nAnswer: -1, -33, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 10. Suppose 0 = 5*v - 2*w - 387, r*v - 201 = w + 31. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4402610 (base 7) in base 12?\nAnswer: -21b98b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*a**2 - 11\/2*a - 5\/3 + 1\/2*a**3.\nAnswer: (a - 5)*(a + 2)*(3*a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 13*b + 14. Let c be l(-14). Solve -2*m - 5 + 1 = c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 28 - 62 = 0. What is the highest common factor of x and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 2, b: 4}. Give prob of picking 1 k and 1 b.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-488)\/(-2))\/(2*1) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*x = -6*x - 10, -5*z - 35 = -5*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 63 = 3*o, -20 = 5*o - 4*g - 120. Calculate the smallest common multiple of o and 12882.\nAnswer: 103056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -42. Let j(m) = 2*m**2 + 23*m + 15. Let z be j(s). Solve -7*i + z*i + 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, -236, -653, -1236, -1985, -2900, -3981?\n\"Answer: -83*t**2 - 2*t + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 738 and 1512.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:26 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 8840*v**3 + 13177*v**3 - 4333*v**3 + 3*v.\nAnswer: 4*v**3 + 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264 - -266. Let h(l) = 73*l**3 - l**2 + l + 5. Is h(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/30 and -38\/2037.\nAnswer: 20370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16041 = 1210*h - 5740 - 8469 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/8 - (0 - -1). Let t be ((-135)\/20 + 3)*20. Let j be ((-40)\/(-6))\/2*(-90)\/t. What is the closest to 1 in u, j, -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 1, q: 2, r: 5, e: 7}. Give prob of picking 2 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50898318 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 + 94 = 23*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33020021 (base 4) to base 14\nAnswer: -1881b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 550 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*22\/(-33)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -265 + 10\/1 + -5. Let x = i - -413. What is the highest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeoeogcygoewoee. Give prob of sequence cygo.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 303, 5, -458, -3 in descending order.\nAnswer: 303, 5, -3, -4, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -107*s + 5. Let u(d) = 214*d - 11. Let h(v) = -13*q(v) - 6*u(v). Is h(1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11710903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 9. Let h be m(9). Let y = h - 0. Is y equal to 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 2*y - 80. Suppose -4*x - y = -8*x. Let f be 2*(3 - (-2 + x)). Calculate the greatest common factor of f and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**2 - 320*i - 5120 = 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.7. Let j = 18 + -13. Let s = -24 + 24.1. Which is the second biggest value? (a) j (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {b: 2, i: 4, z: 10}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -1 - (-3 + 1). Suppose 0 = 5*x + 20, 0 = -f - 0*f - o*x + 11. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(-3*(sqrt(114) - sqrt(114)*1) + 3*(sqrt(114) - (sqrt(114) - sqrt(114)*-1 - sqrt(114)))))\/((sqrt(486) - -1*sqrt(486))*-2*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 17*o**5\/30 - o**4\/8 - o**3\/3 + 5*o**2. Is m(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124368.\nAnswer: 2, 31, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1630 and 6821713.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjkk when four letters picked without replacement from {k: 2, j: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-12)*4\/(-144)*-3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154698205, 154698206, 154698207, 154698208, 154698209?\nAnswer: 154698210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 7. Calculate q(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73050\/3161 or -24?\nAnswer: -73050\/3161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b - 20. Let j(q) be the third derivative of -q**7\/2520 - 4*q**4\/3 - q**3\/3 - 82*q**2. Let c(m) be the second derivative of j(m). Give h(c(r)).\nAnswer: -2*r**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7038.4 - 7038. Which is the closest to -2? (a) -2 (b) 1 (c) f (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 210.298\nAnswer: 2.10298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**4 + 90977*v**2 - 538447*v?\nAnswer: -36*v**2 + 181954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-1 + 3)\/(-4). Suppose 5*z - 68 + 23 = 0. What is the nearest to a in z, 2\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 212075 - 116?\nAnswer: 211757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6) - 190\/(-114).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqtqqqsmtsqqmm. What is prob of sequence qqtm?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (4 + 0))*-1. What is the closest to 2\/5 in j, 1, -34, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 12, -106 in descending order.\nAnswer: 12, -51, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0 - m + 11\/3*m**3 - 1\/60*m**5 - 5\/6*m**4 - 2*m**2. What is the tens digit of g(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.2 + -19.6. Which is the closest to 0? (a) t (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = -210*x + 134049. Calculate the remainder when x is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -3, 2, 7, 12, 17?\n\"Answer: 5*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -180 (c) -0.1 (d) -7.8 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 26*h = 50. Solve b - 6 - 2 = 3*p, 6 = -p + h*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 549*v - 16470. Let a be g(30). What is the closest to a in -1\/2, 2\/3, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 21*a + 688. What is w(-29)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 619 + -74. Calculate the remainder when u is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74527 is divided by 37247.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1575, -1\/6, 2\/7, 6.2 in descending order.\nAnswer: 6.2, 2\/7, -1\/6, -1575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5123 is divided by 78?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 3 - ((-4828)\/(-34) + -99).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5372 or 5323?\nAnswer: 5323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxcxcxcxccxc. What is prob of sequence xc?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqi when three letters picked without replacement from {c: 3, s: 1, i: 2, l: 4, q: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34e + -277?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 60 = 3*j + f, 3*f = 6. Let h = j + -25. Let x be (h - 4) + 2*2. Solve x = 3*r - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -7*m**4\/24 - 3*m**2 + 49*m. What is d(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, 1\/2, -4\/3, -1\/6, 5 in descending order.\nAnswer: 5, 7\/4, 1\/2, -1\/6, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 2608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**8\/6720 - o**7\/1680 + o**6\/120 - o**5\/30 - 2*o**2. Let d(s) be the third derivative of i(s). Let d(y) = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 - 234 = 3*l. What is the highest common divisor of l and 1008?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691839983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**4\/8 - 11*q**3\/6 - 6*q**2. What is the first derivative of l(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 k when four letters picked without replacement from kkkkkaakkkakkkkkkak?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etatrvvetaaeeeerva. What is prob of picking 3 v?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*c - 21*c = 22*c + 2486 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3386*f + 4187*f - 7578*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 89 = -16*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7075 divided by 5?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a + 33 = -5*s - 20*a, 0 = 2*s + 5*a + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5535 - 996. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3144 divided by 3\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u + 22. Let w(g) = 4*g + 8. Let h(j) = 8*w(j) - 3*z(j). Let p(k) = -k. Determine h(p(c)).\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 3*z + z - 8*z + (-2 + 1 + 4)*(2*z**2 + z**2 - 2*z**2).\nAnswer: 2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 74 = 5*p - 7*p, 2*p + k = 68. Suppose -o - 3*f + p = 0, 2*o - 80 - 1 = -3*f. Suppose v = -i + 33, -v - 2*i = 2*i - o. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l - 178*l - 212*l)*(-2 + 1 + 0)*(-21 + 21 - 2*l).\nAnswer: -752*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-21) - (-19)\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2 = 2*f, 10 = -4*f - 5*j - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -0.1851, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22331*o**4 + 22123*o**4 - 67*o + 5*o wrt o.\nAnswer: -2496*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6076 or -6047?\nAnswer: -6047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(1\/(4\/4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5214\/(-27) - (-4)\/(-18). Let o = -186 - f. Calculate the common denominator of 22\/11 - 103\/4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2256071708 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99507 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(1\/4))\/w*w)\/w**(-1\/4)*w**(-2)\/(w**(-7)\/w*w*w*w) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-6 - (16 + 17 + (9 - 113)))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 53 = 21*g - 18*g, g - 8*g = 3*f + 191 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f. Let v(y) = y + 9*y - 11*y. What is c(v(o))?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 5, f: 4, n: 2, x: 4}. What is prob of picking 2 c and 1 x?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15242558*d**2*q**2 - d*q**2 + d*q + 19995*d + 8*q**2 - 2 wrt d.\nAnswer: 30485116*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + w**3 - 5*w**4 + 5*w**3 + 4*w**4 to the form d*w**3 + f*w**4 + b + u*w**2 + l*w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187109 - -187108.400005. Let d = h + 0.6. What is d rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -812\/635 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 0 (c) -37 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 977396621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + -0.17. Let x(r) = -11*r + 5. Let d be x(-4). Let s = -34 + d. Is i less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*108\/630*(-1)\/((-3)\/4).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -7368453.\nAnswer: -5\/7368453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 654838 greater than 654838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a = -19*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3200.909 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 - 3915*n**2 - 3.\nAnswer: -3915*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36.1 in -1\/2, -2\/9, -1, 11263?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.2, -186?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 0*l**3 - 2*l**3 + 12 - 4*l**2 + l + l**3. Let a be c(-4). Suppose a = -3*k - 3*k + 438. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/((-3)\/2). Which is smaller: -4\/13 or v?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4310597 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 342*x + 3563 = -14603 for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 3. Let q be u(8). Suppose l - 5*w = -8, -7*w = -2*w - 10. Suppose -3*a - h = l*h, h = -q*a. Solve a = z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-15) - 105\/25. Calculate the remainder when 5 is divided by (6\/14)\/(v\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27439?\nAnswer: 23, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**42\/((l\/((l*(l**(2\/11)*l)\/l*l*l)\/l))\/(l\/(l**0*l)*l)) assuming l is positive.\nAnswer: l**(486\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 - (-7 + 0 + (26 - (34 + -5)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7*u - 2 - 1 + 6.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 238418145 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2817 and 69799.\nAnswer: 628191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o. Let t be 12\/10*(-25)\/(-5). Let f(m) = -5*m. Let q(l) = t*f(l) + 7*y(l). Let z(v) = 4*v - 3*v + v. Give 2*q(r) + z(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 59768451*j**2. Let t(i) = 3*i**2. Determine q(t(y)).\nAnswer: 537916059*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xflf when four letters picked without replacement from {x: 2, n: 1, l: 6, f: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)\/s)\/s)**(1\/19)*s**(-2\/19)*s*s*s**(-1\/3)*s assuming s is positive.\nAnswer: s**(283\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a56302 (base 11) to base 14.\nAnswer: -66237d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 8*v - 11*v + 2, 0 = 4*v + 4*m - 12. Solve -8 = -v*q + 4*p, -3 = -p - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 2. Let d(i) = -7*i - 5. Let f be 67 + (-2 - -4) + -1. Let m be f\/(-16) - (-3)\/(-4). Determine m*q(b) + 2*d(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256948 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11167, 11166, 11165, 11164, 11163?\n\"Answer: -i + 11168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**4 - 2*t. Let a(i) = 2*i**4 + i. Suppose -40 = 4*g + g. Let l(s) = g*a(s) - 5*o(s). Find the second derivative of l(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 146*b**2 - 147*b + 5. What is x(147)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.2 + -37.9. What is z rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458 (base 11) in base 3?\nAnswer: 2120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 2, h: 6, n: 3, f: 1}. What is prob of sequence ghhn?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10383, -10360, -10323, -10272?\nAnswer: -10207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43903623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 + 605. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -66. Suppose 4*m + h = 5*b, m - 4*m = -4*b + 39. Let w be 1*(b\/3 - 3). Solve -2*d + w*i + 4 = -4*i, 2*i - 6 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -400 + 676. Let f = o + 620. Calculate the greatest common factor of 64 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817335 is divided by 408666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-48)*(-12)\/104.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(48\/195 - (-6)\/39). Solve 0*o + 4*o = 5*p + 26, 0 = -4*p + 3*o - n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*n**2 - 27*n**2 - 4*n**4 - 96 + 118*n**4 wrt n.\nAnswer: 456*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 38420?\nAnswer: 153680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -317*n + 1. Let a be b(-9). Let t(p) = -34*p - 201. Let u be t(-6). Suppose -v + 0*v = 2*x - 949, -x = -u*v + a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/74 and 27\/10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgaa when four letters picked without replacement from wgpgarajapjjaw?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-2 + (-40)\/(-22))\/2). Solve 3*t + 5*g - l = 0, 4*t - g = -0*t + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2393 + 2393 + 4*c**3 - c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11814240 divided by -96\nAnswer: -123065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/184 and 81\/40?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -51685?\nAnswer: 51685.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006626475 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/(-110) - (-294)\/(-105).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1158 and 59\/5211.\nAnswer: 10422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 - 443 - 35*s**2 + 2*s**3 + 224.\nAnswer: 2*s**3 - 35*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/((-2142)\/136))\/(9\/(-525)). Factor -10\/3*f + 2\/15*f**4 - q + 6*f**2 + 26\/15*f**3.\nAnswer: 2*(f - 2)*(f + 5)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 25*u + 15. Give z(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 9, 4*d = 5*k - 3*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6)*-2)\/((-5)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2232 = -5*f - 2*u, -9*u = 2*f - 10*u - 900. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 3890.\nAnswer: 396780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*n**3 + 11*n**3 + n**4 - 9*n**4 + 2*n**4 + n**4 - 2*n + (n**3 - 3*n**3 + 0*n**3)*(45*n + 33*n + 13*n).\nAnswer: -187*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 654018 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: Calculate -351783030 divided by -70356606.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 2:31 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/5040 + 2*a**5\/3 + 19*a**2. Let i(v) be the third derivative of j(v). Let p(l) = -13*l**2. Calculate p(i(x)).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14*o - 303. Let d be m(-22). Sort -21, -6\/7, d in ascending order.\nAnswer: -21, -6\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -74. Let y = j + 13. What is the units digit of ((-2)\/4)\/(y\/256)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-18)*(2 + 0). Let q(r) = r**2 + 4*r + 5. Let p be q(-2). What is the nearest to y in p, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2*b - 10)*(2*b**4 - 2*b**3 + 2*b**3) + 23*b**2 + 14*b**5 - 23*b**2.\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 170322*(3 + -6 - -4)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48963.06 litres to millilitres.\nAnswer: 48963060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:24 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -15*d + 121. Solve d = -5*r + 31 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(5*v - 4*v - 2*v) + 2*v + 0*v + 0*v - 2*v + 0*v + 0*v + 7*v - v - 2*v to h*v + x and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40806550157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5450, 7117, 11782, 20945, 36106, 58765, 90422, 132577?\nAnswer: 186730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35003718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -983510? (a) -3\/4 (b) 2\/7 (c) 3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22*26\/(-8580))\/(25\/(-6))?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - w - 1. Let t(i) = -3*i**3 + i**2 - 6*i + 6. Give t(d) + 2*u(d).\nAnswer: d**3 + d**2 - 8*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**0*o)*o)**(-1\/2)\/(o**(-2\/3))**(-27) assuming o is positive.\nAnswer: o**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 - -6. Let w = r + -99. Let d be (-8 - -3758)\/(w - (-1)\/(-2160)). What is d rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 136580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(7636\/22908)\/((-2)\/(-972))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from fbbbbnbabfabff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 - 4*w**4 + 3*w**4 + (-w**4 + 2*w**4 + 0*w**4)*(6 - 3 - 1) + 6*w**4 - 2*w**4 - 3*w**4.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 10:33 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7395?\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 - 2*w**4 + w**4)*(w - w - w) + (70 - 70 + 17*w**2)*(2*w**3 + 1 - 1).\nAnswer: 35*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (14 + (-6 - (-7 - -13)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 37*k - 97. Let l(m) = 2*m - 4*m - 5*m - 13 + m**2 - 4*m. Calculate the least common multiple of f(34) and l(13).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 x, and 1 c when three letters picked without replacement from {t: 1, c: 3, x: 1, i: 3, d: 7, a: 2}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 197 + 17 = -5*c, 5*p = 5*c + 340. Calculate the greatest common divisor of p and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8268351 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 53329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b**3 + 4*b**2 + b + 5. Let h(k) = -k**3 - k**2 - 1. Let v(n) = n**3 - n**2 + 1. Let i be v(0). Suppose -i = -3*j - 4. Determine j*g(y) - 5*h(y).\nAnswer: -2*y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a minute in milliseconds?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010044323 (base 6) in base 16?\nAnswer: -9e239b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1520, 2636, 3736, 4814, 5864, 6880?\n\"Answer: -r**3 - 2*r**2 + 1129*r + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 - 6*r + 8. Let p = 143 + -138. Let a = -8 - -10. Let b be (p\/20)\/((-1)\/8*a). Let c(t) = t - 1. Calculate b*q(s) - 6*c(s).\nAnswer: 3*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 210?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.00146, -1, 4, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*r + 612 = 100*r. Let l(z) = z**2 + 11*z + 22. Let a be l(-10). Calculate the highest common divisor of a and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 87*x**3 - 384*x**2 - 588*x - 288.\nAnswer: -3*(x + 1)*(x + 2)**2*(x + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2373055*i**2 + 13337742*i wrt i.\nAnswer: 4746110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23\/21? (a) 4\/3 (b) -5 (c) 2\/29 (d) 1\/2 (e) 2\/11 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(10)\/sqrt(2) + sqrt(5))**2*6) + (sqrt(5) - (sqrt(5)*-1 + sqrt(5))*-6).\nAnswer: -120 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/17)\/((u*u\/(u*u*u**2*u*u))\/u)*(u\/(u**(2\/15)*u))\/u**(1\/3))\/(u\/(u\/u**(-9))*u**(-1\/4)*u)**19 assuming u is positive.\nAnswer: u**(164389\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 24*n + 23. Let x be z(15). Let v = -107 + x. Round v to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*s - 296*a**2 + 1 wrt s.\nAnswer: a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85\/438 - -2\/73. Which is the third smallest value? (a) 2 (b) o (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 49726020.\nAnswer: 1\/49726020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1a6955 (base 12) to base 6\nAnswer: -14010145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -40938 bigger than -40939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6877?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-70)\/(-36960)*-12)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3657 + -43859\/12. What is the common denominator of y and -69\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 1408*m**2 + 67760*m - 766656.\nAnswer: -4*(m - 22)**2*(m + 396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9866*a**2*m - a**2 + 349*a*m - a + 2*m + 2 wrt a.\nAnswer: -19732*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eedpeeeeeeeededddd. What is prob of sequence ede?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 37 = 3*m, -2*p + 14 = -3*m - 17. Solve a + 2*a - 5*i = -p, -3*a - 1 = -i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 22. Suppose -f = 6 - z. Solve -p - f = -6*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o + 1. Let v(b) be the second derivative of b**4\/2 + 2*b**3\/3 + 2*b**2 - 3*b. Calculate 4*a(d) - v(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2231 - (-1 + (-9)\/(63\/(-70))) and 16?\nAnswer: 17776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 1. Let u(h) = h + 4. Let a(t) = -3*n(t) + u(t). Suppose -5*o + 9 = 4. What is a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21472 + -21471.87. What is the closest to -2 in p, -2, 0.3, -0.006?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23355 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2\/8 - 90507027*u\/2 + 362028111\/8 = 0 for u.\nAnswer: -120676037, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 22*f + 5. Let y be d(5). What is the highest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -324*h - 343. Is 37 a factor of f(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 11) to base 10.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061342 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*i = 19, 0 = y - 2*y - 5*i + 10. Suppose 3*f + 0*f + 9 = -4*l, -y*f = l + 15. Factor l + 10\/7*p**2 - 4\/7*p + 2\/7*p**4 - 8\/7*p**3.\nAnswer: 2*p*(p - 2)*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 t when four letters picked without replacement from {r: 6, t: 4, n: 7}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 31*i + 66. Calculate q(34).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, x: 2}. What is prob of picking 2 w and 1 x?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*m = -16 + 18, -183*m + 184*m = -4*c - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 6*j**2 - 4*j + 5. Let z be v(-5). Suppose -x = -z*x - 4. Let d = 7 - x. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6715*l**2 + 182*l - 1175110903 wrt l?\nAnswer: -13430*l + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxaa. Give prob of picking 1 h and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 586 and 585 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 30 = r, -6*r = -4*p - 4*r + 28. Solve 4*i - p = -20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, i: 1, t: 4, s: 4}. Give prob of picking 1 t, 1 x, and 2 s.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 824.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -549871, -549837, -549751, -549589, -549327?\n\"Answer: 4*h**3 + 2*h**2 - 549877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.9505ml to litres.\nAnswer: 0.0989505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*y = -122*y + 240*y + 232. Suppose 5*h + 0 - 5 = 0. Find the first derivative of -y - 1 - h - c wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 2614788.4?\nAnswer: 1045915.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000729413 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/(-3) + 4\/12. Let k(o) = -3 + 4 - 8 + 10*o**2. Let p(u) = -15*u**2 + 11. Let q(z) = l*k(z) + 5*p(z). Determine q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 3*p**2 + 5*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 11*b - 6. Suppose 0 = 20*l - 8*l - 4368. Let v = l - 354. Determine f(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 40. Let i be n(10). Let s be 10\/6 - 35\/(-15). Suppose -v + 10 = v. Solve h - 24 = -h - 5*x, i = -v*h + s*x - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*o + d**3 + 369*d**2*o**3 - 1424*d*o**3 + d*o**2 - 2*d*o + 2*o**3 wrt d.\nAnswer: 12*d*o + 6*d + 738*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 12 - (5 + 2)) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:43 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 - 4*o**2 - 28*o - 10. Let g be x(-16). Suppose -y = 5*b + 842 - 40351, y = 2*b - g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -11 - (4 - 4 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74037, 148030, 222001, 295938, 369829?\n\"Answer: -2*p**3 + p**2 + 74004*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289223 to the power of 1\/2, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3644 is divided by 554?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -20*t**3 + 3*t**2 + 2*t + 2. Let i be j(-2). Let u be (-21 - 1819\/(-85)) + 4265\/25. Is u greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115799147 is divided by 684.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -649\/4, -0.9, 70\/3, -2\/7 in descending order.\nAnswer: 70\/3, -2\/7, -0.9, -649\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c - 2*c - 49*c**2 + 48*c**2 - 484*c**2 - 3*c to the form v*c + u*c**2 + s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (45*760\/21375)\/(38\/5)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.73 and -0.56.\nAnswer: -0.4088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2417546?\nAnswer: 2, 43, 28111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 66 = 13*u. Solve u*o + 13 = 9*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1 + 5 + (-6)\/2. Solve t + 2 + d = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -184*j - 9. Is f(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/30435710 and 17\/5234.\nAnswer: 30435710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, z: 6}. What is prob of sequence jzzz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/9*((-54)\/48)\/((-6)\/12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.2, -1\/15.\nAnswer: -0.2, -1\/15, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0166366 rounded to 5 dps?\nAnswer: 0.01664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-2 - -1))*-12. Let r = 73\/24 - 1171\/168. What is the common denominator of (-23)\/(-70) + t\/20 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/120 + m**5\/12 - m**4\/6 + 17*m**3\/6 + 9*m**2. Calculate the remainder when g(-5) is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-12))\/((-2)\/3). Let w(v) = -1. Let k(p) = 6*p - 3. Let u(l) = -k(l) + 4*w(l). What are the prime factors of u(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 29 + 21 = -2*o, 40 = 5*o + 5*c for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -260, -94, 220, 682, 1292, 2050?\n\"Answer: 74*u**2 - 56*u - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, 101, 287, 569, 977?\nAnswer: 1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/sqrt(125) + (sqrt(51) - sqrt(102)\/sqrt(2)*4))\/((sqrt(75) + 1*sqrt(75))*1 - sqrt(75) - (2*sqrt(75)*-1 + sqrt(75))).\nAnswer: -7*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 2\/5, 5, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2862*q - 17893 = 7026 - 10026 + 56657 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18682 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 342 = 0. Let a = h + 49. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.4657 rounded to one dp?\nAnswer: -60.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.8 + -45. Let h = w - -0.2. Suppose 6*y + 1 = -5*v + 2*y, 5*y + 20 = 0. Which is the smallest value? (a) v (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 5, 3\/2, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8917 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 - j**5 - j**5 + (2*j + j - 2*j)*(-2*j**4 + 2 - 2) + 7*j**3 + 3*j**3 + 7*j + 3*j**5 - 8*j**3.\nAnswer: -j**5 + 2*j**3 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/3 - 8*c**2\/3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9800.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d + 13*d - 10*d**4 - 5*d**4 wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 22.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 502125980 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23030)\/880 + 26)*(-24)\/(-30).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 2*b**2 - 2*b**4)*(0*b + b - 3*b)*(-2 - 3 + 3) - 12*b**5 - 5 - 14*b**5 + 25*b**5.\nAnswer: -9*b**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 979*z**5 + 184*z**2 wrt z.\nAnswer: 58740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217549*t**3 - 93041*t**3 - 113788*t**3.\nAnswer: -424378*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9106 - -2.0894. Put -5, -1\/4, u, 0.4, -9\/4 in ascending order.\nAnswer: -5, -9\/4, -1\/4, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4288*h - 3091643. What is z(721)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.5 (b) -2\/53 (c) 0.09 (d) 5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = 3*t - 64. Let f = 44 - 43.05. Let o = 0.05 + f. Which is the nearest to 0? (a) t (b) 1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 5. Let h(y) = -5*y - 25. Calculate 2*h(n) + 11*v(n).\nAnswer: n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a + 1. Let k(u) be the second derivative of -17*u**4\/12 - 2*u**3 + 2*u**2 + 9*u. Let r(g) = 5*k(g) - 40*y(g). Let r(m) = 0. Calculate m.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -8*v + 6. Suppose -2*c = 2*m + 8, -3*m - v*c + 2*c - 12 = 0. Which is bigger: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7981914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5564742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u = -37*u + 36. Suppose -t = -5*x - 29, -21 = 5*x - 3*t + u. Let g(i) = -5*i**3 + 6*i - 6. Let h(v) = -5*v**3 + 5*v - 5. Calculate x*h(r) + 5*g(r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.008 - 89.992. Let c = 208 + g. Let b = c - 117.999913. What is b rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205792 is divided by 1745?\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.06 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d**2 + 3767*d + 11303. What is j(-3)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 5 - 5 - d**2 + 2*d**2 + 0*d**2 + (2 - 3 + 2)*(4*d**2 - d**2 - 4*d**2) + 2*d**2 - 2*d**2 + 6*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11252 = 11814*c - 47898 - 49157 + 1981 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 0*l = -783. Let s = -81 - l. Suppose -s*i + 9*i + 2 = 4*b, 5*i + 3*b - 16 = 0. Solve 8 = i*w + 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjbbbwcbbccbbwbbbjj. What is prob of picking 2 w and 1 c?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142315 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: Suppose 4*s - 275 + 271 = 0. Solve s - 3 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 1\/4*o**4 - 20*o + 6*o**2 + 0 - 1\/20*o**5 + 8\/3*o**3. Factor q(c).\nAnswer: -(c - 6)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 255, 297, 379, 507, 687, 925, 1227?\n\"Answer: c**3 + 14*c**2 - 7*c + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16689\/6415 - 2\/1283. Suppose 3*n - 1 = -2*c, 3*n + 2 = 5*n + 2*c. Which is greater: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*4*(sqrt(91) - (-1*sqrt(91) - sqrt(91))))\/(-2*3*sqrt(175)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2021221?\nAnswer: 2021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16 + 2*k - 2 + 359*k**2 - 358*k**2. Let r be o(-6). Suppose g + 6 = 3*g - 2*i, -2*i - 10 = -4*g. Solve g*h + r = -4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236649 is divided by 802?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 2*a + 2*a + 207 - 207 + 16*a + (7 - 2 - 4)*(-2*a - 4 + 4) as z*a + k and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83 and 80596?\nAnswer: 6689468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7550 = 5*l, -4*l + l = z - 4519. What is the remainder when l is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 96 = -144. Suppose -3*k + 2*o + 72 = -o, k - 5*o - 40 = 0. What is the greatest common factor of r and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96\/5 of a litre?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*f**3 - 11 + 2*f - 26*f**3 - 20*f**3 to j + u*f + n*f**2 + h*f**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3212927.\nAnswer: 3212927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3\/3 + 5*k**2\/2 + 7*k + 135. Calculate c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9172069408929 + 9172069408929 - 6*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 20*c + 20. Let m be l(1). Let p(w) = -6*w + 242. Let o be p(m). Determine n so that n - 4\/3 + 1\/3*n**o = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10)*80\/240. Let u(m) = -m**2 - m + 2. Let s be u(2). Which is the closest to -2? (a) -0.2 (b) -2\/13 (c) n (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x - 15. Let p = 1 - 0.5. Which is the biggest value? (a) p (b) 1\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 271*h**2 + 11553*h + 58. What is o(53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18748, -18749, -18750, -18751, -18752, -18753?\nAnswer: -18754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - y. Let n be p(-2). Let t be 4\/n*(-582)\/(-4). Suppose 5*o - 95 = -5*s, -5*o - t - 18 = -5*s. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - s + 4*s)*(3 + 2 - 3)*(-107 - 96 + 26)*(s + 0*s - 5*s) as h*s + t*s**2 + a and give t.\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 341, 707, 1089, 1475, 1853?\n\"Answer: -2*b**3 + 20*b**2 + 320*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 9*z**2 - 11*z - 2. Suppose 2*o + 16 = x, -5*o - 6*x = -3*x + 62. Let d be b(o). What is the greatest common factor of d and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 9\/6 + 29\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11733752 (base 8) to base 16\nAnswer: 27b7ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8586 - -229. Suppose -s - s = 3*b - 6606, -4*b - 5*s + d = 0. Round b to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 28. Is r greater than -1\/158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -380, 405, 1709 in decreasing order.\nAnswer: 1709, 405, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 - 4 = 0. Suppose 0 = p + 3*x - 1, -2 = z*p - 6*p - 4*x. Let k(s) = 2 - 3 + p - 2*s. Let l(v) = 6*v. Calculate l(k(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-376)\/32 + 3\/(-12). Suppose 0 = 7*r - 2*r + 110. Let b = d - r. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298758 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-76)*(-75639)\/(-1106718).\nAnswer: -1\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, 189, 411, 633, 855?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/5, 0.4, 1\/5, -0.7 in decreasing order.\nAnswer: 5, 0.4, 1\/5, -1\/5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/17, -8, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -4\/3*a**3 + 0*a + 62 + 0*a**2. Let g(z) = 8*z. Give g(b(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 847042 - 0.339.\nAnswer: 847041.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -16. Let f(v) be the third derivative of 0*v**4 + 0 - 1\/60*v**m + v**2 + 0*v + 1\/120*v**6 + 0*v**3. Find the third derivative of f(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 901 (b) 10 (c) -573\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3599 = -2*z + 3609. Solve -z*o + 17 = 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17191121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - c + 10, -3*c - 54 + 51 = 4*q. Solve -8 - 10 = 4*o + q*y, -2*y + 8 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 27 = 5*y - 4*d, 0 = 3*d - 15. Solve y = -4*w + 5*j - 14 + 59, 0 = -3*w + 4*j + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/6)*a**(-4\/25) assuming a is positive.\nAnswer: a**(-49\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, x: 10}. Give prob of sequence fx.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/5 - 4*v**3\/5 + 14*v**2\/5 + 8*v + 24\/5 = 0. What is v?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 44*b**3 - 108*b**2 + 116*b - 36. Let n(f) = -f**4 - 43*f**3 + 105*f**2 - 117*f + 36. Let i(d) = -4*n(d) - 5*w(d). Factor i(k).\nAnswer: 4*(k - 9)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 31086.27mg?\nAnswer: 0.00003108627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/3 + 305486*h\/3 = 0. What is h?\nAnswer: 0, 305486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 45 + 90 = 0. What are the prime factors of 2\/(-3) - (-450)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1761631 or -1?\nAnswer: 3\/1761631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4)\/c)\/c)**(-1\/2)*((c*c\/(c\/(c\/((c*c*((c\/c**14)\/c)\/c)\/c))))\/c)**(14\/11))**(2\/7) assuming c is positive.\nAnswer: c**(486\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 582 and 195843?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 4) + 0 + -322. Let a = -173 - d. What is the greatest common factor of a and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from {b: 2, w: 1, h: 1, j: 6, d: 7}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + -3 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/2 of a microsecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*p + 3 - 3*p + 5*p + 0*p + p - 2*p + 6*p + p + 3 - 3 + (2*p - 2*p - 2*p)*(3 + 0 - 5))*(-3*p**2 - p + p**2 + 336 - 260).\nAnswer: -20*p**3 - 10*p**2 + 760*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - u**2 + 1. Let l be g(2). Find the second derivative of -s**5 + s - 4*s - s**l wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35916049 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = -14. Let m(z) = -2*z**2 - 13*z + 1. Let r be m(l). Differentiate 2*c**2 + r*c**2 + 2 + 3 + 0*c**2 with respect to c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 6*y**2 - 9*y - 6. Let l(s) = 19*s + 7*s - 12*s**3 + 14*s**3 + 11 + 3*s**3 - 9*s - 11*s**2. Calculate -6*l(d) - 11*z(d).\nAnswer: -8*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3+-16081086639\nAnswer: -16081086636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5103426 to the power of 1\/2, to the nearest integer?\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 14*l = 2403. Suppose -2*g = -2*a + 318, -6*a + 3*g = -a - l. Calculate the highest common divisor of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32021 is divided by 738?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m + 2*t + 16, m - t = -2*t - 6 - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.1 + -0.1. Let k = 1164.191 - 1158.2. Let n = 0.009 + k. What is the biggest value in n, m, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 659 divide 149593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7214910 to the nearest integer?\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6165745 years in centuries?\nAnswer: 0.006165745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0193 + 0.2807. Let z be (-52)\/16 + 2\/8. Let r be (-120)\/(-57) - (-6)\/z. Which is the third biggest value? (a) r (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16652 divided by -573?\nAnswer: 16652\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 730283027 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 7. Calculate the least common multiple of a and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-15)*d)*d**(2\/33) assuming d is positive.\nAnswer: d**(497\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*k - 264*k - 1250 = 10 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 9*d + 2334. Let x = 393 + d. Solve 2*o = 1 - 3, x*o - 2 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 360.06 - 363. Let n = 0.06 - i. What is the smallest value in -2\/7, n, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Suppose -4*a + o*i - 3 = -11, -4*i + 46 = 5*a. Let r be 2\/4*(0 + 0). Solve r = z - a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28177 and 855?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g - 4. Differentiate 4*x - g*x**3 - 4*x + 2 with respect to x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32584, 51693, 70802, 89911, 109020?\n\"Answer: 19109*c + 13475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 divided by 1?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-230*i - 174*i + 10*i)*(-1 + 1 - 1)*((3 - 1 + 0)*(-6 + 2 + 2) + 0 - 4 + 0) as y + t*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/2 + -2)*(71 + -1). Let x = -59 + s. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 858393*k**2 + k + 2087607.\nAnswer: 1716786*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178.8 - -43.288. Let z = r - -136. What is z rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 6*a - 8. Let j(u) = 13*u. Let o be j(1). Let b(g) = -2*g - 9*g**2 + 5*g**2 - 17 - 8*g - 3*g. What is o*p(c) - 6*b(c)?\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 31. Suppose -m = -l, -2*m - m + 4*l = 0. Suppose 3*o + 5*t - 24 - 27 = m, -o + 6 = -2*t. Calculate the highest common divisor of o and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -191, -664, -1587, -3110, -5383, -8556?\nAnswer: -12779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/12 + 5*v**3\/6 + 3*v**2 + 65*v + 2. What is c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - (9 + (-9 - -4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.909749 and -13.7.\nAnswer: -39.8635613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (-371)\/(-42))*12\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*r = -4*m + 74, 38 = 2*m + 2*r. Let v = m + -10. What is the units digit of ((-102)\/v)\/(3\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/((-32)\/576). Is 5714 + -27*(-4)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0)\/(-2 + 0). Let v be 5 + -4 + 6\/(-4) + j. Is v greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -7*b**4\/12 - 29*b**3\/2 + 1271*b**2\/2 - 2*b + 1075. What is the derivative of m(i) wrt i?\nAnswer: -14*i - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 5 + 2)*(-18 + 18 - 27*r)*(r + 4 - 4) + (-1 + 1 - 2*r)*(-3*r + 4 - 4) + 16 - 16 + 5*r**2 to t*r**2 + i*r + c and give t.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 15, -0.5, 29, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 9. Let w be m\/3 - (-7)\/21. What is the first derivative of -2 - 5*k**w - 3 + 8*k**4 wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, -7, -14, -6 in decreasing order.\nAnswer: -6, -7, -14, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or 1580407\/4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + t)*(-t + 0 + 0) - 6*t + 6*t - 3*t**2 + 4*t**2 + 18 + 7*t**2 - 10*t**2.\nAnswer: -t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213.76 minus -150510?\nAnswer: 153723.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + -9 - (-1)\/3. Sort -3\/2, 0.2, c in descending order.\nAnswer: 0.2, c, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18022362 divided by -6007454\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5422530 to the nearest 10000.\nAnswer: -5420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 178643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39606.09 litres to millilitres.\nAnswer: 39606090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 789217, 789271, 789329, 789391, 789457, 789527, 789601?\nAnswer: 789679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 173823176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2144 - 2230?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeceibm. Give prob of picking 1 b and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 22 = 7*j - 3*j, 2*j = 4*r - 14. Suppose -j + 13 = 5*b. What is the smallest common multiple of b and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 432*d + 50 - 776*d + 320*d + 46.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/319674 > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*f = 7 - 1, -3*f + 15 = 0. What is the second smallest value in 1\/16, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 25472*s - 81102848.\nAnswer: -2*(s + 6368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 8, -4, 1\/71, 7\/2, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-2\/9)))\/o)\/((o*o\/o**0*o*o*o)\/o))\/((o**(-8)\/o)\/o**(-2\/15)) assuming o is positive.\nAnswer: o**(184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 j when three letters picked without replacement from {c: 3, j: 12}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174951 and 1008.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 19*g**2 + 20*g + 2. Let o be n(-20). Let x(v) = 3*v**2 - 3*v. Calculate x(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 71*i**2 + 991*i - 165. Give p(52).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1110021202 (base 3) to base 5\nAnswer: 1404030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g - 21. Calculate the remainder when 253 is divided by i(-8).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 3*b - 122 + 1\/2*b**2 - 2\/3*b**3. Calculate v(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23501 - 23585 = 2*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-70))\/((-3)\/(-63) + 0). Let p be 194\/n - 23\/69. Suppose 114 + 18 = 3*c - 3*w, -3*w - 228 = -5*c. What is the highest common factor of p and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12602.\nAnswer: 2, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -5156782.\nAnswer: 5156782.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33480495*c**2*s**3 - 207532235*c**2 + c*s**2 - 3*s**3 wrt s.\nAnswer: -200882970*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -e2ac (base 16) in base 10?\nAnswer: -58028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 5*f**2 + 6*f. Let p be j(-6). Suppose -4*r + 4*y = -12, p = -0*r + r + 2*y - 6. Suppose -2*t = -r - 0. Solve -2*x - t*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(612) + -2 + sqrt(612) + -1) - (sqrt(612) + sqrt(612)*2 + 1)*-6)*-6)**2*3.\nAnswer: -202176*sqrt(17) + 44684784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 5*v - 7*m - 27, 15 = 4*v - m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 45.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 - 111204*q**4 + 104898879*q**3 - 25165931358*q**2 + 50017610880*q - 24956467200 = 0 for q.\nAnswer: 1, 480, 36106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((1*sqrt(45) - sqrt(45))*-1)**2 - (sqrt(5) + -1*sqrt(5))*-5*5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23572 and 1136.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -17. Is -1 - -125 - (q + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1456)\/140*15\/(-2)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 3, -a - 3*a - 4*s - 16 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**(-5\/9)))**(12\/13) assuming d is positive.\nAnswer: d**(16\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 + 2)) + -82 + 126 + (-345 - -212).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 + 1785*w\/2 - 3573\/4.\nAnswer: 3*(w - 1)*(w + 1191)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*s + 27 = -301*s + 3*q, 4*s - 2*q + 38 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2878, 2872, 2862, 2848, 2830?\n\"Answer: -2*v**2 + 2880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18912.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6048 divided by 4?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*k + 4*c**2 + 8*c*k + 832*k wrt c?\nAnswer: 2*c*k + 8*c + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1121a0c - -3?\nAnswer: -1121a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -b - 5 + 10, -13 = -4*b - 5*h. Let a be 0 + b\/2 + 20. Suppose 9 - a = -3*q. Solve q*x + 2*r + 14 = -0*x, -4 = 4*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3997 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*(-2126792)\/249. Let t = -6052 - x. Round t to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-1))\/(-2)*2*(-495)\/(-540)*-24.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y - 190. Give z(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7767 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 137\/(-2) - 5\/(-10). Suppose 3*x - 109 - 129 = 5*y, 4*x - 322 = 2*y. Let q = w + x. Round q to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271 + 319. Is (-37919)\/(-4) - -9*(-4)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.9 - 21.6. Which is the second biggest value? (a) 1\/2 (b) -2\/7 (c) z (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -10, -0.3, -2\/33, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 5:15 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.650299 centuries in millennia?\nAnswer: 0.0650299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*(-3)\/9)\/(-2). Let k be -1 + 4\/(p + -4). Let s be (k - -3)\/1*5. Solve -j - 1 = -s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12078271*1.\nAnswer: -12078271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 + 12*q - 1. Let b(l) = 14*l**2 + 36*l - 4. Let t(m) = 6*b(m) - 17*k(m). Let j be t(11). Solve 20 = 4*s, 8*s = j*o + 4*s + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) 0.5 (c) 1\/47 (d) 38 (e) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 1 = 2*h, h = -407*r + 404*r + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12962 + 14941. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 12288?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*s*v - h*s*w**3 - 3*h*v*w + 2*s*v*w**3 + 182*s*w**2 - 2*v*w wrt v.\nAnswer: 2*h*s - 3*h*w + 2*s*w**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82593, 165186, 247779, 330372?\n\"Answer: 82593*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 3*s - 104. Let j be k(-9). What is the biggest value in 7, j, 2\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -23. Let n be (1 + j)*3\/3. Suppose b + n = 5*b. Solve 3*h = -6 + b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -6, -12?\n\"Answer: -6*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2171 + 3050. Let y = -879.0474 + z. Round y to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2595.9 + -2596. Which is the nearest to 1.9? (a) -5 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-5) + (-4)\/(-10). Let k = -17 + 60. Suppose m*u + 2*a - k = 18, u - 11 = -3*a. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -1. Let z = -9.0000051 + i. What is z rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-15) + (-69)\/115\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324194 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 936 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6771 - -18739. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 18*a - 5*a)*(1 + 1 - 6) in the form h*a + m and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s, d + 5*s - 48 = -0*s. Let v = -29 + d. Does 2 divide (v\/4)\/((-3)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15595.\nAnswer: 5, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 4*t - 33. Which is smaller: -10 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(0 + 0 + -6*(sqrt(1539) + 0)) + 3)**2*-2.\nAnswer: -3989106 - 3888*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*s - 36, 2*s - 3*s + 3 = 0. Suppose -r + 2*r = 0. Suppose r*h - 33 = -h. What is the remainder when h is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1522 - 304*a**2 + 602*a**2 - 1539 - 297*a**2.\nAnswer: a**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 36. Let m be w\/6 + 2 + -200. Let h = 205 + m. What is the common denominator of h and 67\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -18.018. Let m = t + 2.318. Let v = m + -0.3. Sort 0, 0.9, v in ascending order.\nAnswer: 0, 0.9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i + 39 = 5*b, -4*i - 3*b = -190. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624)\/sqrt(48) + sqrt(468)\/(sqrt(9) - sqrt(441)))\/((sqrt(400)*-1)\/(sqrt(16)*6)))**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 363 - 346. Suppose -60136 = -x*d + 9*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -26. Solve 19*y + 2 = b*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 - 17*b**2 + 9*b - 6. What are the prime factors of k(-11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3446, 0.4, 0.05.\nAnswer: -3446, 0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3260 or 497?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 * -0.48\nAnswer: -0.02304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 4*a**2 + 5*a + 5. Let j be v(-5). Let l be -8*(4 + j\/10). Solve 5*f = -l*k - 7, -9 = k - 4*k + f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-10 - (12 + -17))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 + 25 = -3*g, 71 = 2*t + g. Let j(p) = 11*p + 7. Let y be j(3). Let s = y - t. Solve -s*q - r = -18, 4*r = -5*q + 1 + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w. Let l(p) be the first derivative of p**2\/2 + 2*p - 4. Suppose -2 + 0 = m. Let k(f) = 6*f + 11. Let y(s) = m*k(s) + 11*l(s). Give j(y(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*q + 79*q - 8027 = 261*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712493 is divided by 64?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 996 - 971. What is the lowest common multiple of x and 3?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96061 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: Let t(o) = -o**3 + 5*o + 2. Suppose 4*g + 0 - 16 = 0. Let k be 3*(-2)\/g*2. List the prime factors of t(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21240000 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -14, 1\/109?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -4834 and -4839 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11400 by 8.\nAnswer: -1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 12*s + 8*s + 1 - 11*s**3 + s - 23*s.\nAnswer: -9*s**3 - 26*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 9\/16 (b) -5 (c) 5 (d) -3 (e) -0.014\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21722777681 take away 3?\nAnswer: 21722777678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2020 + -260. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*v**2 - 460838*d*v - 5*d + v**2 + 238135 wrt v.\nAnswer: -2*d*v - 460838*d + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 1)*(-159*f**5 - 408*f**5 + 39*f**5 - 287*f**5).\nAnswer: 4075*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**6\/120 + 7*a**5\/20 - 5*a**4 + 50*a**3\/3 + 3*a**2\/2 - 2*a + 53. Let k(p) be the second derivative of u(p). Factor k(c).\nAnswer: -(c - 10)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/17 + 4132\/1955. Put -5, n, -2\/7 in descending order.\nAnswer: n, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 16285547?\nAnswer: -16285546.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 + 3 = 0, g - 1631 = 2*b. What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {s: 5, j: 2, w: 7, n: 4}?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 7*v + v - 3*v.\nAnswer: 5*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 325 (b) -13\/31 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 = -4*g, 3*g - 9 = 2*m - 0. Let z be m - (-270)\/(-400)*-2*2. Which is the nearest to 0? (a) z (b) 0 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j**2 + 6*j**2 + 13*j**2 + 22*j**2 + j**3 + 16*j**2 - 3*j**4 + 2*j to l*j + k*j**3 + n*j**4 + y + x*j**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 23\/3. Let d = 5308.9 + -5309. What is the nearest to h in -0.5, d, -1\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19*4\/(-114))\/((-28)\/18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6444835 months to decades.\nAnswer: 0.0220373625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -8, -256, 0.4953, 1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -o, -w = 4*o - 20. What is the greatest common factor of w and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/(4\/(-3012)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 9) in base 6?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -80. Is 2 + 875 + -6 - c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 4:11 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 2b9936e?\nAnswer: 2b99370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56342, 112687, 169032, 225377, 281722, 338067?\nAnswer: 394412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = -10. Calculate the greatest common factor of 3 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 410759870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7*j = -20. Let n(a) = -7*a - 85. Let r be n(-12). Sort -2, -4, r, j in increasing order.\nAnswer: -4, -2, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1 (c) -1\/4 (d) 0.1 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 a factor of 494905904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 429526 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/9 (b) 3\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7799454, -7799411, -7799368, -7799325, -7799282, -7799239?\nAnswer: -7799196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6864 - 1580. Suppose -g = -36*l + 37484. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1848)\/63)\/((-14)\/(-18)*(-348)\/(-406))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 2435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tctttct. What is prob of picking 3 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2 + 298*l + 4355. Calculate m(-14).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*l = -60, -1 = 2*s + 2*l - 49. Let b = 34 - s. Suppose 2*a - 72 = b. Calculate the remainder when a is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:46 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**2 + 38*j**2 - 23*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2432) - -3*sqrt(2432)*2 - (sqrt(2432) + (sqrt(2432) - -2*sqrt(2432))*5))\/(-1*sqrt(200)*-4 + -2*(-2*sqrt(200) - sqrt(200))).\nAnswer: -18*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let t be (-6)\/c*4\/(-12). Let l be (3\/(-9) + t)*6. Solve -5*f - 5*n = 0, -n = f + n - l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49027 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 279850590*x - 3915817636167405.\nAnswer: -5*(x - 27985059)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 13, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -168, 1 in increasing order.\nAnswer: -168, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/5 + 9*o**4\/5 - 14*o**3\/5.\nAnswer: -o**3*(o - 7)*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90896046 - 2.8.\nAnswer: -90896048.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2 - (-4 - -5)). Suppose 8*t - 68 = 20. Solve q*f = 5*f + 5*b - 25, -5*b + t = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (167 - 196) + (101 - -36)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 25*h - 26*h + 4*v - 10, -4*h - 128 = 2*v for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41921*o**5 + 9*o - 909?\nAnswer: 838420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*a - 4*a = -3, 0 = 3*c + 3*a + 18. Let m(g) = g**3 + 5*g**2 - g - 3. Let j be m(c). Solve w = j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334644.\nAnswer: 2, 23, 89, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/143 - -119\/858. Which is the third biggest value? (a) -0.11 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r - 4*r - 4*r - r. Let u(b) = 2*b**2. Calculate u(l(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12 - -1) + (-18)\/6. Let y = -1 + c. Solve -4*t = -3*i - 13 + 2, -i + y = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/30 + 42\/34020*-657?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 57 - -2315328476\nAnswer: 2315328533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 522*a**3 + a - 395.\nAnswer: 3132*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 210853\/425?\nAnswer: 210853\/425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a gram in milligrams?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -343640428 divided by 3?\nAnswer: -343640428\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 365*d**2 + 2*d + 2. What is the thousands digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 6*c**2 + 23*c - 33*c + c**3.\nAnswer: c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i + 13. Let p be b(3). Let t be (-15)\/(-6)*(-6)\/(-5). Let s(u) = -u + 3*u - 3*u**t - 1 - 2*u**3. Determine s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -6)*16\/(-24) - (-1 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 33 + 884 = -531. Suppose 3*o + 4*x = 72, x = -2 - 1. What is the remainder when h is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-10))\/(21\/(-28)))\/(28\/42)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5\/7 - 54*s**4\/7 + 180*s**3\/7 - 24*s**2 = 0. Calculate s.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144744.8l in millilitres?\nAnswer: 144744800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 2, w: 1, p: 12, f: 1}. Give prob of picking 1 w and 1 t.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 317 - 18 - 101)*(-3 - 4 + 16)*(-3 - 3 - 2) to the form d + p*w and give p.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5) + (6 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*48\/132)\/(4\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 9*p**2 + 4*p - 67. Let c be o(-10). Let v(f) = -2*f**3 - 14*f**2 + f + 1. Calculate v(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 316750 and 160125?\nAnswer: 57965250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 15 = u + 3, -u - 15 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2 - 7*a - 2. Let p be y(6). Suppose -4*r + 4 = -3*r, 4*l - p = 4*r. What is the remainder when 111 is divided by l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1934, -10298, -33000, -77210, -150098?\n\"Answer: -1195*a**3 + a**2 - 2*a - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (21\/49)\/(-13 - (-147)\/12)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21783 - 13523. List the prime factors of m.\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by (2 - -2) + 0\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(10 - 5)*175\/28. Sort 60, -5, 2\/5, p in descending order.\nAnswer: 60, p, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -85*v**2 + 39105*v - 2042. Calculate y(460).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.558 and -0.69.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.290359 less than -2?\nAnswer: -1.709641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12674 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-8)*(-1 + (-1 - 24)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 22012?\nAnswer: 22011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076532 at most as big as 10382659\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433236624.\nAnswer: 2, 89577289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/20 + 11*g**4\/12 - 11*g**3\/6 + 5*g**2 + 5*g. Let z be m(10). Let s = -52 - -47. Sort z, -1, s.\nAnswer: s, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 + 13804*g**2 + 119094010*g.\nAnswer: 2*g*(g + 17255)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 31*i - 209. What is g(26)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539119759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 2*f + 4. Let c be s(-4). Let i be (4\/c)\/((-2)\/(-18)). Determine n, given that -797*n + i*n**4 + 797*n - 3*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - f**2 - 2*f**2)*(-1 + 2 + 1) + f**2 + 0*f**2 - 2*f**2.\nAnswer: -7*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*j = -10*n + 500, -25 = 5*j. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 755 and 28949720?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84))\/sqrt(12) + 2.\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - 4.19. Let z = -4 - o. Let v = 0.2 - z. Are v and 0 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 5. Let z(r) = -r**2 + 6. Let o(l) = 7*g(l) + 6*z(l). Let b(v) = 2*v**2 - v + 2. What is 2*b(s) - 3*o(s)?\nAnswer: s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -599*r - 13 + 599*r + 27*r**2 - 28*r**2 + 17. Calculate q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*g + 11902, 193*g = 4*a + 190*g - 47644. Is 11914 != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:38 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 37, -3, -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -62, -146, -264, -416, -602?\n\"Answer: -17*y**2 + y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = -32. Solve -8 + 8 + 24*c**3 - m*c**2 + 2*c**5 - 12*c**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/7, 26, -2\/25, -5\/2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-1\/3))\/i)**(-5\/4))**(-2\/7)\/(((i*i\/(i*i**6*i))\/i)\/i**(-1\/7)*i**(1\/4)*i**2) assuming i is positive.\nAnswer: i**(397\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - h - 4. Let i be n(-3). Let d = -12 - i. Calculate the remainder when 46 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*a**3*p + 14230*a**3 + 179*a**2*p - 2*a**2 - 2*a*p + a - 8 wrt a.\nAnswer: -144*p + 85380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 24*i + 11*i + 0*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5.448388 days?\nAnswer: 7845.67872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from zzyyztfzzztyzg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*o - 32, 3*l - 3*o = o + 28. Let r(u) = -3*u**2 + 5*u**2 - 6*u + 1 + 3. What is the remainder when 47 is divided by r(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 24. Suppose -14*k = -u*k. Let i(j) = -j**2 + 5. What is i(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8690 - 7480 - 14417 + 390)*(-h + 3*h - h) to the form p + f*h and give f.\nAnswer: -30197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 712 and 1*(-12 - 4)*-1.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69691641 to the power of 1\/2, to the nearest integer?\nAnswer: 8348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 2. Let c(t) = -t**2 - 3. Let k(j) = 3*c(j) + 5*f(j). Let h(g) = 2*g**2 + 2. What is -2*h(s) + 3*k(s)?\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 7452*s**2 + 2017. Let n(t) = 2*t**2. Determine k(n(r)).\nAnswer: 29808*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -955*y + 1 - 1 + 934*y. Let p(t) = -7*t**2 - 28*t + 28. Let j(i) = i - 1. Let s(d) = 28*j(d) + p(d). Determine a(s(u)).\nAnswer: 147*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3986636*-10.\nAnswer: 39866360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2255677 is divided by 2255664?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 244 - 240. Let k be (-4)\/(-26) - (-228)\/39. What is the third derivative of 6*s**4 + 17*s**4 + 9*s**2 - k*s**m wrt s?\nAnswer: 408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278609, 557221, 835833, 1114445, 1393057, 1671669?\nAnswer: 1950281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -280707.6 to the nearest 100.\nAnswer: -280700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5332 - -5377. What is the remainder when 272 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/22*(-3 + 4 - 0)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from umyuuueumemeguemeurg.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04147*16.\nAnswer: -0.66352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**7\/105 - f**6\/60 + f**5\/6 - f**4\/4 - 43*f**2. Let l(s) = 0. Calculate s.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7bc7 (base 16) to base 2.\nAnswer: -111101111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 64?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/((-525)\/14))\/((-18)\/(-15))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-7) - (-558)\/126. Solve 2*g = -g - 3*a - 12, 4*a + 15 = -z*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 810268*z + 177970*z + 701420*z.\nAnswer: 1689658*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290676*c**3 - 276507*c**3 + 148560*c**3.\nAnswer: -418623*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 262940917471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2 + l - 3 + 0*l. Suppose 0 = 92*m - 89*m - 6. Calculate the smallest common multiple of p(3) and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32152332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-875*a**3 + 1950*a**3 - 881*a**3)*(-3 - 8*a + 3)*(5 - 5 + 2*a).\nAnswer: -3104*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85684019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224 - 248. Which is smaller: -28 or o?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -3\/38 (c) 2\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m. Suppose -2*n = -4, -4*s - 9 = 5*n - 75. Let g(p) = 2*p + s - 4 - 10. Determine o(g(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 41373352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 + 1\/4*g**4 - 2*g - 1\/3*g**3 + 0*g**2. What is the second derivative of z(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 76 = 2*m, 3*m = 2*f - 0*f - 131. Is 37 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(68))\/sqrt(4) + 2.\nAnswer: -8*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:59 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) + 1))**2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -2*b**5\/35 + b**4\/7 + 2*b**3\/21 - 2*b**2\/7 + 282. Solve o(u) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - (3 + -2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.747?\nAnswer: -0.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = j - 5*h, 4*j + h = 5*h - 12. Suppose j = 5*u - 12 - 23. Let i be 11\/(165\/20)*9\/2. Which is bigger: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*m + 122 = 0, 63 = 4*t - 2*m - 173. Suppose -8*c = -270 - t. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 12. Let h be d(-7). Let i(p) = -22*p**h + 24*p**2 - 6 + 4*p + 4*p. Does 8 divide i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -10219323.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*z - 0*z + 5*m, -m = -z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.339 - -3.039. Sort 1\/34, -0.4, w in descending order.\nAnswer: 1\/34, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 17*a. Let b(m) = 6*m - 12. Let q(x) = 19*x - 35. Let c(k) = 7*b(k) - 2*q(k). Let j(t) = t - 3. Let p(f) = 3*c(f) - 14*j(f). Calculate p(o(g)).\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*q**2 + 2*q**2 + 3*q**2 + 2*q**3 + 0 in the form c*q**3 + h + v*q**2 + o*q and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-2 + 0)) + 5. Calculate the common denominator of 1736\/(-528) + (-4)\/g and 57\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126*-142.\nAnswer: -17892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 l when four letters picked without replacement from lzzzlz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u - 25. Suppose u*t - 80 = 145. Suppose 0*h = 4*h - w - 47, -3*w - t = -4*h. What is the greatest common factor of 96 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 100*d - 103*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -341 divided by -350\nAnswer: 341\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)*-2 - sqrt(294))\/(sqrt(2) + 1*sqrt(242)).\nAnswer: -7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**7\/70 + 25*r**4\/24 - 211*r**3\/6 + 380*r**2 + 2*r. Differentiate h(d) with respect to d.\nAnswer: 12*d**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 23075\nAnswer: 299975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*g = -15*g + 5 - 98 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-6))\/8*(-14)\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, g: 2}. Give prob of sequence pppg.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-18) + 190\/6. Let t be 17\/5 + a\/(-80). Sort t, 0.3, 3\/2 in ascending order.\nAnswer: 0.3, 3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 12 + 2)*(-2*o - 6*o + 3*o) + (5 + 1 - 5)*(-2*o + 1 - 1).\nAnswer: 43*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -327841, -655426, -983011?\n\"Answer: -327585*n - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 + 102. Suppose -4*l - 19 = 3*f, y = -3*l + 5*f - 2 - 5. Let r be (-2*1)\/(1\/l). Solve 0 = x - 5 + r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*j**4 + 17*j**3 - 9*j**2 - 6?\nAnswer: 192*j + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 12. Suppose -5*z + 0 = -o. Suppose -3*j + 2*t + 2 = -7*j, -2*j + z*t + 14 = 0. What is the smallest value in -0.1, 2\/15, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 15 = -b, -4*b - 3634804 = -3*r - 3634784 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 68974 (base 10) to base 6\nAnswer: 1251154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0354 - 0.1646. Let i = -3.2 + 1. Let g = u - i. Which is the second biggest value? (a) 5 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, 1 c, and 1 p when four letters picked without replacement from {p: 9, w: 5, i: 1, c: 1}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 177*o**3 + 4*o + 8 - 14 - 6*o**3.\nAnswer: 171*o**3 + 4*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 210*x - 200*x - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + 1)\/(7\/(-721))?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*g - 181*g = -210. List the prime factors of g.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 168*i**2*q - 3134*i**2 + 3*i*k**3 + 4339*k**3 - 810*k*q wrt i?\nAnswer: 336*i*q - 6268*i + 3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + 6 - -1*4. Round l to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w + w. Suppose 2*n - 18 - 4 = 0. Calculate the smallest common multiple of w and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*1*2\/4. Suppose -59*c - 53*c + 82*c + 90 = 0. Solve 0 = y*r + 5*x - 3 + 13, 3*r - c*x + 18 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/7)\/g)**(2\/19) assuming g is positive.\nAnswer: g**(-4\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 2*q**2 - 12*q + 4 + 3*q**2. Let a be n(8). What is the units digit of 3 + 2 + a + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/21 < 0.197776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**2 - q - 41. Let u(h) = -11*h**2 - 3*h - 42. Give 3*d(y) - 2*u(y).\nAnswer: -2*y**2 + 3*y - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/180 + (-28)\/(-12))\/((-102)\/(-15))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 11*x**2 + x - 7. Let b(a) = a + 24. Let m be b(-13). Let h be i(m). Suppose 0 = h*z - 477 - 687. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 690908536 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 10\/7, -0.21, 0.3, 2\/15, -0.5?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*w - 21 + 58 = 0, -3*w - 17 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*k - 5*v - 7, 4*k - 13 = -5*v. Let u(b) = b**2 - 2*b - 23. What is the remainder when 17 is divided by u(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from sssssxssxss?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366929069?\nAnswer: 13, 2837, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -118. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:28 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 138*m**2 + 8*m - 6. Let a = 8 + -6. Let o be (-17 - (1 - 4))\/a. Let z be h(o). Round z to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 3 (b) 8 (c) 9 (d) -0.2 (e) 2\/11 (f) 0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 + 52*x - 33. What is j(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - g = -81, 3*g + 2 = -7. Let x = -328 - -608. Suppose 3*b - x = -b. Calculate the greatest common divisor of s and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:29 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 5 = 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2861 (base 11) in base 10?\nAnswer: 3697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 43*p**2 - 26*p - 78. What is the remainder when 337 is divided by z(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 41. Let t(s) = 4*s**2 + 2*s + 1. Let x be t(-2). What is the highest common factor of h and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509987959.\nAnswer: 13, 71, 673, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-2)\/3). Let l = b + 3. Suppose 3*r + 22 = -2*a, l*r + 5 - 12 = 3*a. Let h(d) = -d**3 - 4*d**2 + 4*d - 7. Determine h(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -463445.9 to the nearest one thousand.\nAnswer: -463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10965*k**2 + 6017*k - 27. Let i(y) = -13708*y**2 - 7521*y + 33. Let w(u) = -11*d(u) - 9*i(u). Find the second derivative of w(n) wrt n.\nAnswer: 5514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9549781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/((-10)\/(-5)*-1). Suppose 5*x + 10 = 0, -3*g + x - 25 = -p. Let u = g + 9. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1690*g**2 - 1 + 1 + 1696*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91000 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(637))**2 + 4 - sqrt(637) - (sqrt(637)*-2*-2 + sqrt(637))**2.\nAnswer: -15284 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63 less than -0.08421?\nAnswer: 0.54579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6017 and 13\/4376?\nAnswer: 48136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4149*r**2 - 299*r + 44. Let x be z(37). Round x to the nearest one hundred thousand.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131513\/847 + -244\/121. Let y = x - -157. Suppose -4*n = -2*n + 6. What is the closest to y in n, 2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 5*x**3 - 3*x**3 + (-x**2 + x**2 + 7*x**2)*(-x + 8*x - 3*x) + 2*x**3 + x**3 - 6*x**3 + 7*x**3 - 12*x**3 - 6*x**3.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 260211090 a multiple of 1375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let t = -7 - p. Put 4, t, 0 in decreasing order.\nAnswer: 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 9:26 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -134467316 divided by -2?\nAnswer: 67233658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Let b be 1\/4 - (-11)\/w. What is the second derivative of -1 - b*i**2 + 1 - 4*i wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209734832 divided by -26216854.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 - 10*u + 22. Let s(w) = -14*w**2 + 29*w - 66. Determine -6*s(d) - 17*z(d).\nAnswer: -d**2 - 4*d + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*i - 2295447 = 11*i. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2. Let o(d) = 323 - 323 + 4*d. Determine o(j(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2336747731.975 and -0.1.\nAnswer: -2336747732.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*c - 7. Let p(d) = 6*d - 5. Calculate the remainder when p(5) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 67*s - 2*s - 1105, 14*g = 10*g - 5*s + 85 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**6\/3 + 11*y**5\/5 + 14*y**4\/3 + 8*y**3\/3 + 6*y. Factor h(b).\nAnswer: 2*b*(b + 2)**2*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 180*i**3 - 179*i**3 + 11*i**2 + 7*i + 0*i**2 - 10. What is n(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**2*u**2*x**2 + 2*l**2*u*x**2 + 35*l**2*u + 18*l**2*x - l**2 + 9152*l*u**2*x**2 + 2*l*u wrt u.\nAnswer: 2*l**2*x**2 + 18304*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.0521?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 q when four letters picked without replacement from {q: 2, m: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*a + 5, a - 2*a - 2 = 3*t. Let c(f) be the first derivative of 0*f - 3 + 0*f**2 + 1\/3*f**3. Calculate c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:30 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228435790.\nAnswer: 2, 5, 122843579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -2\/19, -4, -3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-26390)\/(-169) + (-2)\/13?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*21\/6*(44\/2 - 20066\/889)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.061\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*o + 67*o + 2*o**2 - 1 + 118*o**3 - 43*o - 83*o**3 + 2*o**2 to the form y*o**3 + w*o**2 + m*o + c and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 700 + 72. Let u = h - 771.99539. Let n = -0.004 + u. Round n to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from vfkdzkh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*f - 24 = 1, -f - 22 = -2*y. Let j(a) = -a**3 - 2*a**2. Let w be j(-3). Calculate the greatest common divisor of w and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4032\/(-756))\/((-2)\/1533) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-32*1\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 divided by 16.\nAnswer: 195\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 496, 1116, 1986, 3106, 4476, 6096?\nAnswer: 7966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 6. Let k be a(-6). Let t = k - -22. Calculate the remainder when 37 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -21. What is the greatest common factor of c and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/7 + 11*j**2\/7 - 12*j\/7 + 4\/7 = 0. Calculate j.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 313 + -312.6. Which is the biggest value? (a) 4 (b) m (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = n, n + 16 = 5*n - 2*m. Suppose -3*h = -h - 6. Suppose -20*s + 32*s = 120. Solve n = h*z - s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 469 (base 12) to base 8\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31\/310)\/(3\/(-24)))\/((-58)\/(-5)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9502 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = g - 0*k - 9, 5*k = 4*g - 10. Let b(c) be the third derivative of c**4\/12 + 4*c**3\/3 + 2*c**2. Let d be b(4). Solve d = -g*a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**3\/3 - 265*o**2\/3 + 24070*o\/3 + 309400 = 0.\nAnswer: -84, -34, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -3 (c) 14\/11 (d) 2 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 67813?\nAnswer: -67808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3262*u**2 + 1 - 377*u**2 - 1 - 886*u**2.\nAnswer: -4525*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 + 108. Are -199 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 28*p**2 + 3*p - 5. Let u(t) = t - 11. Let n be u(10). Let x(r) = -2*r**3 - r**2 - r. Let l be x(n). List the prime factors of m(l).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) -5 (c) -2\/3 (d) -2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*d - 67*d - 158*d**3.\nAnswer: -158*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129968?\nAnswer: 2, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-4))\/((-261)\/132 + 2). Suppose q = 5*k + 40. What is the units digit of 1 + (k - -1) - 2 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 409098.\nAnswer: 2863686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 3*h**2 + h + 4. Let o be p(3). Let k(d) = d**3 - 6*d**2 + d - 7. Calculate the remainder when k(o) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18078 and 124319.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2. Let u(d) = -14*d + 8*d - 11*d. Determine i(u(o)).\nAnswer: -578*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 7*h - 42. Let o(f) be the second derivative of f**4\/12 - 7*f**3\/6 + f**2\/2 - f. What is o(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239 - -206. Is (-65577)\/m - (-2)\/(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 5*v + 6 + v**3 - 6 - 4*v**2.\nAnswer: (v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**2 - 705 - 412 - 1150 - 6*q**2 to w*q + m*q**2 + h and give h.\nAnswer: -2267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -584, -576, -566, -554, -540, -524, -506?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 5857*s + 796668. Calculate l(-133).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 42) + (34 - 11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -0*p. Suppose 9 = j - p. Let g = j + -6. Let y(o) = o**2 - 4*o - 2. What is y(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452 = -18*w + 358. Let c be 4\/((-80)\/w) - (4 - 7). Determine z so that 0*z**3 - 3\/4*z**2 + 3\/8*z**5 + 0 + c*z**4 - 3\/8*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1810\/(-15))\/(2\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a - 36. Let y be n(-4). Suppose -12*q + 15*q - 771 = y. List the prime factors of q.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 + -2023451191.\nAnswer: -2023451190.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 22*y + 4311. Calculate m(-147).\nAnswer: 1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 3*f - 7 - 5*f + 2*f - 3*f + (-1 - 4 + 4)*(2*f + 5 - 5) + f + 3*f - f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011111010111100011 (base 2) to base 9.\nAnswer: 2183553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c (base 14) in base 10?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 55*(5 - 96\/20). Let g(o) = 2*o + 0*o + c + 3*o - 9. Let l(h) = -6*h - 3. Let f(w) = -6*g(w) - 4*l(w). Let q(v) = 3*v**2. What is f(q(s))?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1.5, 2\/269?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 2\/797 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42716196 a multiple of 3762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8*(-1 + -1). Let r = z + 5. Let w = r - 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + v**4 + 2*v**2)*(0 + 1 - 2) + (-3*v + 7*v - 2*v)*(-2 - 3 + 4)*(-v**3 + 4*v**3 - v**3).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(35\/14 + -2). Let y be 5 + -3 - x - (5 - 5). Solve -3 = -y*u + 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - l**2 - l. Let r be h(1). What is the closest to -13 in -3, -1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 23156 = -18*l. What are the prime factors of l?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-15)\/(-9))*-18. Suppose -v = -z - 0. Let s be (-77)\/22*(0 - z). Calculate the greatest common factor of s and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1123*t**2 + 598*t - 27230441 wrt t.\nAnswer: -2246*t + 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437687 is divided by 437359?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*m = 705, a + 3*m - 26 = 145. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*s + 981*s + 409*s.\nAnswer: 1126*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 48. Let g be y(-12). Suppose 2*n - 24 = -n. Suppose -12*v = -n*v - g. Solve v*d + 10 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeeueeueoe. Give prob of picking 1 u, 1 o, and 2 e.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, -0.221, 0, 6 in ascending order.\nAnswer: -0.3, -0.221, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i + 16. Is h(0) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(684) - (sqrt(684) + -4 + sqrt(684)*-2) - (sqrt(684)*-1 + 1))**2.\nAnswer: 540*sqrt(19) + 30829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + (-11)\/(187\/(-652120)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 1. Let m = 0.2 - z. Let d = 4.1 + m. Which is the second biggest value? (a) d (b) 5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -390*z**2 - 2 - 2*z**3 + 2*z - 3*z**4 - 390*z**2 + 19*z**4 + 1 + 785*z**2 to q*z**4 + c*z**2 + m*z**3 + j + k*z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.037961 and -1.\nAnswer: -0.037961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 120. Suppose -78 + a = -5*u. Solve l - 1 - u = -t, 0 = -3*t - 5*l + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1868 + 2886 + 3443*x - 1769 wrt x?\nAnswer: 3443","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*-5*-2*sqrt(11) + 4.\nAnswer: 6 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*12\/64 - 3\/20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(7 + -6). Suppose -2*o = -0 + 10. Let b be (1\/4)\/(-2 - 17\/(-4)). What is the smallest value in b, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5 + 3649*p**4 + 4387578*p**3 + 1738905340*p**2 - 3495390200*p = 0. Calculate p.\nAnswer: -1471, -1090, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -291 = -291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2835.8mg to tonnes.\nAnswer: 0.0000028358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6. Suppose -r - r = -6. Solve -r = z*u + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 m when three letters picked without replacement from qceemm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5490, 5865, 6288, 6765, 7302, 7905?\nAnswer: 8580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 10*x**2 + 7*x + 38. Let q be t(10). Let k be (-8846)\/(-408) - 18\/q. Let y = -98\/17 + k. Find the common denominator of y and -119\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11724.133 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = -4*g + 7*g, -5*i - g = -25. Solve -i*t + 3*y - 7 = -5*t, 0 = t - 2*y + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/2 + 3)\/(-2). Let r(h) = h**3 + h**2 - h + 4. Let q be r(m). Let t = 1507 + -1504. Which is the nearest to -1? (a) t (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 109786, 107841, 104600, 100063, 94230, 87101, 78676?\n\"Answer: -648*w**2 - w + 110435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 2 + y**3 + y - 4*y**2 + 0*y. Let d be k(3). Suppose q + 14 = 3*n, -2*q - 2*n + 56 = -6*q. Is d not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/3 - 1109180*q**2\/3 + 230839232*q\/3 - 4001963264.\nAnswer: -4*(q - 104)**2*(q + 277503)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.04 - -1.96. Let y(l) = l**3 + l - 3. Let j be y(0). What is the smallest value in t, -2\/13, -3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 121*v + 238*v - 123*v.\nAnswer: -6*v - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert e8 (base 16) to base 14.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-9 + -1)) + 2452\/(-272).\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 26 = 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 10 = -5*k, -458*k + 453*k + b = 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8705.292 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 0.1, 5 in descending order.\nAnswer: 5, 1.6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 5 - 2)*(1 + 0 + 0) + 62 + 92 + 7)*(-3*o - 2*o + 3*o).\nAnswer: -316*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - p - 12, -5*p - 7 - 9 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccraagsaaascaaaacaa. Give prob of picking 1 s and 1 g.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 8)*(-5*r**3 + 0*r**3 + r**3).\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 994 and 16282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 21, 5, -0.2, 1, -2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19482197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130 - 5931.951344.\nAnswer: -6061.951344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = 24*s - 2456. What is the biggest value in 2\/9, -3, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8477081 (base 10) in base 5?\nAnswer: 4132231311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 74 - 22. Let d be w\/(-8) - 2\/8. Let g = -2 + -1. Which is the second smallest value? (a) 1 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39297 divided by 3?\nAnswer: -13099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 12665827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 50990*r**2 - 2*r - 2. Let p be l(3). Suppose -5*g - 5*v - 3344495 = 0, 2006694 = 10*g - 13*g - 4*v. Let z = g + p. Round z to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -418\/1285, 5, -6 in decreasing order.\nAnswer: 5, -418\/1285, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/15)\/(j**(1\/6)*j*j*j)*((((j\/((j*j**(-2\/7)*j)\/j))\/j*j)\/j)\/j)**23 assuming j is positive.\nAnswer: j**(-8917\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5127 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 4416570*f - 26499312.\nAnswer: -3*(f + 6)*(f + 1472184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -20?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f. Suppose -2*m + 37 = 29. Let h(o) = -m*o - 6*o + o. Determine i(h(y)).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18383248\/27 or 680860?\nAnswer: 18383248\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 191, -1, -14026, -41 in descending order.\nAnswer: 191, 3, -1, -41, -14026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13270 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 3*v - 9*q + 26, 3*v = q + 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 divided by 2808646.\nAnswer: 92\/1404323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 3. Let w(k) = 11*k + 8. Let t(a) = -8*f(a) + 3*w(a). Let r(q) = -14*q**2. What is t(r(v))?\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*u - 49 + u**3 + 14*u - 24*u wrt u?\nAnswer: 3*u**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 411, 616, 821, 1026?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/24 and -12 + 5 - (-190)\/48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309757694 rounded to the nearest one hundred thousand?\nAnswer: 309800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.22 minus -10335?\nAnswer: 10766.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70.55 + 5.55. Let t = 76 - d. Which is the second smallest value? (a) -1 (b) t (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/6*y**6 + 23\/24*y**4 + 2*y**2 + 0*y**5 + 0*y + 0 + 0*y**3. What is the second derivative of f(v) wrt v?\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:17 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v - 70. Let u(g) = -11*g. Let t(b) = 29*b. Let d(l) = -6*t(l) - 15*u(l). Let j(s) = -46*s. Calculate v*d(z) + 3*j(z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*s - 5, 2*s - 3*p = -2*p + 3. Put s, 0, 3, -6 in descending order.\nAnswer: 3, s, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m + 59*m - 406 = 0. Suppose 4*s = 2*s + 5*c + 139, -3*s = -2*c - m. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Simplify (q**(-2\/13)\/((q*q**(1\/2)*q)\/q))\/(q**3*q\/(q\/((q\/q**(-4\/3))\/q*q)))*((q\/(q\/q**1))**(1\/7))**3 assuming q is positive.\nAnswer: q**(-3581\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-5))\/6*((-15)\/35)\/((-1836)\/(-714)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 90.57905nm?\nAnswer: 0.09057905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 6*o + 5*u = -14, 5*u + 40 = -10*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/101? (a) -5 (b) 0.3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3899866122 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 7:41 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*j - 243*j + 74*j + 109*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-25)\/4))\/((-2)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*n + 80. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.71468l in millilitres?\nAnswer: 62714.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -25. Let z(w) = -2*w**3 - w**2 + w - 2. What is z(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(4\/17))\/(n*n**(-18)))\/(n\/(n**(-22)\/n)*n*n\/(n\/(n**(-2\/25)\/n))) assuming n is positive.\nAnswer: n**(-2416\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1247464 and -0.1.\nAnswer: 1247463.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 829*q - 828*q - 1265*q**2 - 625*q**2 to a + i*q + s*q**2 and give s.\nAnswer: -1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) - 186\/(-30). Calculate the common denominator of 2 + (a - 11\/((-1815)\/(-1700))) and 590\/(-72) - 1\/(-4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 5\/44 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 117*f - 228*f = -115*f - 42, -4*q + f = 37 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3431 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(160\/(-255)) - 49\/(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1819 * 0.09186\nAnswer: -0.016709334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1882.5 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 870705*g**2 + 1577835*g wrt g.\nAnswer: 1741410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*x - 3*x - s, -x - 2*s + 21 = 0. Suppose -x = -2*a + a - t, -4*t = -a + 31. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*v + 316 - 316)*(-2 - 4 + 3)*(9*v - 40*v - 16*v).\nAnswer: 2256*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6 and 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + (4 + -39 - -43).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) 1.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10792 and 684.\nAnswer: 97128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1, -5, -33\/10 in ascending order.\nAnswer: -13, -5, -33\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g**4\/3 - 220*g**3\/3 - 668*g**2\/3 - 704*g\/3 - 80 = 0. What is g?\nAnswer: -10, -2, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457636 is divided by 2680?\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 922*q**4*t**2 + q**2 + 3*q*t**2 + 15 wrt q.\nAnswer: 22128*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*w - 31 - 104 = 0, 3*w + 215 = 5*o. Determine r so that -44*r**4 + 27*r**3 + 16*r**2 - 51*r**3 + 36*r**5 - o*r**3 = 0.\nAnswer: -1, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3857 and 23621486?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 3:22 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*a + 50. Let n = 21 - a. Is 2 a factor of (-2 - (1 + n)) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1 + -3 - 6) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + 5 + -2*(sqrt(176) + 1)*-5)**2.\nAnswer: 1200*sqrt(11) + 17822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 28.6. Let y = 448 - 439.6. Let b = t + y. What is the third smallest value in -4\/5, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -627, -720, -815, -912, -1011, -1112, -1215?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -12, -1\/8, -0.31?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 + -78. Solve -j + 3*j = -2*w - 6, -3*w - j = l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 475262990.\nAnswer: 1425788970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 7\/3)\/(14\/(-105)). Solve 3*u + 4*o - s = 9*o, o = -2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 26. Let j = x + 17. Suppose j*w + 6 = -u - 22, -2*u + 2*w = -4. Let z(i) = i**3 + 5*i**2 + 4*i + 1. Give z(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*f - 32*f - 30*f - 5 + 5.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -199, -393, -587, -781, -975?\n\"Answer: -194*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3*p**2*t - n**3*p + 192494*n**3*t**2 + n**3*t + n**2*p*t - 11*n - 9*p**2*t**2 + 11231*p**2 wrt t.\nAnswer: 384988*n**3 - 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2009760 and -2009760 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + t + 122 = 3*v, 2*v - 52 = 2*t. Suppose 56*m - v = 50*m. What is the remainder when 105 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47\/36 - -14\/9. Let h = -0.2 - -0.7. Let i = 65.4 + -66. What is the nearest to 0 in m, h, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7240\/12308*7\/(-21)*-3*(-2)\/2.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 465\/(-6) + 2\/(-4). What is the common denominator of 145\/12 and (t\/(-4))\/(1*3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 44 = -17. Calculate the least common multiple of 32 and c.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n. Suppose -272 = -406*a + 414*a - 1472. Suppose j - a = -2*r, -3*j = -n*j - 5*r - 417. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -376 + 1040. Let i = -176 + d. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7469444?\nAnswer: 2, 43, 43427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -872, -743, -614, -485, -356?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*o + 1622303 = 182631. What is the highest common divisor of 104 and o?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2. Let l(g) = 56*g + 7002. Let a be l(-125). Let t(x) be the second derivative of 0*x**2 - a - 25\/6*x**3 - x. What is t(j(m))?\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 3. Let o be z(5). Suppose 3*s = -o*f + 57, 2*f - 3*s - 15 = 48. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.0167 rounded to 0 decimal places?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjfr when four letters picked without replacement from {j: 1, a: 1, r: 1, b: 1, f: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y + 4*y + 3*y + y - 10*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*l**2*n*s**2 + 5896*l**2*n + 2*l*n - 405*l*s**2 - n*s**2 wrt l?\nAnswer: -20*n*s**2 + 11792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + 3*g - 4. Let w(o) = 3*o**2 - 3*o + 5. Let h(u) = -3*w(u) - 4*y(u). Let n(m) be the first derivative of h(m). Is n(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -25, -13, 17, 71, 155, 275?\n\"Answer: u**3 - 7*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3895232 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6326 (base 8) to base 12\nAnswer: 1a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 192053670 to the power of 1\/2, to the nearest integer?\nAnswer: 13858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from {m: 1, q: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*j + 70, 7*m = 3*j + 3*m + 59. Let t = -85 - j. What is t rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 (base 15) in base 5?\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 18 = 2*p. Is 2\/p*(-5 - 262) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.542 * -0.61.\nAnswer: -8.26062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 25 = 2*k - d, 4*k - 5*d - 35 = 0. Suppose v + k*v - 198 = 0. What is the remainder when v is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - sqrt(209)*-2)*6 + sqrt(209) + sqrt(209) + sqrt(209))\/((sqrt(33) + -1*sqrt(33) + sqrt(33))\/sqrt(3)).\nAnswer: 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytiir. Give prob of picking 1 r, 1 i, 1 y, and 1 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 14) in base 8?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32655 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3084269 to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(7\/2)*z**(-9))\/(z\/(z*z**(-2\/57))*z**24*z))**(-4\/3) assuming z is positive.\nAnswer: z**(6734\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + w**2 - w**2 + (2*w**2 - w**2 + w**2)*(-4 + 2 + 0) + 3*w**2 - 476 - 11*w + 476 + (4*w - 3*w + 0*w)*(-2*w + 0 + 0).\nAnswer: -w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -37. Let q = -140 + 238. Calculate the greatest common divisor of q and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -864 (c) -5766\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69440.37ns in milliseconds?\nAnswer: 0.06944037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 11*p**2 - 15*p - 11. Calculate b(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 17*y - 9. Let f be h(6). Is 10 a factor of ((-624)\/(-9))\/4*f\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 7*n**2 - 5*n - 3. Let u be b(6). Solve 0 = u*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 528 and -3072.\nAnswer: -2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 5*l**5 - l**5 + (3*l**4 + 0*l**4 - 2*l**4)*(4*l - 17 + 17).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1*3 + (-5)\/(10\/(-1808))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 43*o - 47*o - 3*l, 20 = 2*o + o - 2*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6738 by 20144.\nAnswer: -3369\/10072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 80*j + 8. Let q(k) = k - 2. What is -a(f) - 3*q(f)?\nAnswer: -83*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 47 - 35 = 0, 2*c = 5*f + 15. Which is smaller: -8\/123 or c?\nAnswer: -8\/123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-7)\/(-28)*((-1296)\/450)\/18\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66300 and 99450.\nAnswer: 198900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 627*u - 5020. Determine p(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 46 - -33 - (-1 + 2 - 53) - 8.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t = 11*t + 145 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4\/2 - 71129*k**3 - 5059334641*k**2\/2 = 0.\nAnswer: -71129, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 - 18*n - 2 + 2 in the form q*n + v and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-1008)*(-8)\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**3 - 2*b**2 + b. Suppose 14 = j - 35. Suppose 3*q - j = 56. Let n = -34 + q. Determine x(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 - 167 - 722791*a + 722791*a.\nAnswer: 10*a**2 - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n*u*y**2 + 52*n*y**2 - 189330*n*y + 2*n + 1978*u*y**2 + 13*u*y - 3*y**3 wrt y.\nAnswer: 16*n*u + 104*n + 3956*u - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - 5*(-4)\/15. Suppose z + 18 = 3*z + 4*m, -2*z - 14 = -4*m. Determine c, given that z + 7*c + c**k + 6 - c + 2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59995 and 102453?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (378\/78 - 5) + 87255\/585. Put 1, 6, -5, 3, b in decreasing order.\nAnswer: b, 6, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 125.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 3, -6, -15?\n\"Answer: -9*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 2 + 2 + 20*h to the form c*h + g and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12920 and 35758?\nAnswer: 12157720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(468)))**2 + (sqrt(468) - (-1 + sqrt(468))**2*-3) - (sqrt(468)*-1 + -5 + (1 + sqrt(468))*6 + sqrt(468)).\nAnswer: -66*sqrt(13) + 18254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/27)\/(((-176)\/(-9))\/22)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 5*r**2 - 5*r**2 + (-1 - 3 - 1)*(-3*r**2 - 2*r**2 + 3*r**2 - 1).\nAnswer: 12*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281137940.\nAnswer: 2, 5, 3137, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/8*(2\/6)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i + 38. Let n be p(-16). Let b = n - 123. Solve 5*z + b = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42892*b**5 - 2*b - 9479?\nAnswer: 857840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4644 divided by -208?\nAnswer: -1161\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.11, -35, -325 in decreasing order.\nAnswer: 9, -0.11, -35, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -76.7. Is -17 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000065553 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a + 24 = g + 35*a, -4*g - 4*a = -56. Let l be 3\/2*8\/6. Solve l*y - g = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30325?\nAnswer: 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575842959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -15440406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301 and 443975.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - m + 1070, 2*m = -8 - 2. List the prime factors of x.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrruruauaruurruau. What is prob of picking 3 a and 1 u?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6701*w**3 + 4*w**2 + 13*w - 14. Let l be k(1). What is l rounded to the nearest one hundred?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 - 5*x - 5. Let u be a(-1). Put 3.9, -2, u in descending order.\nAnswer: 3.9, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b**4 - 2479496*b**3 + 21076807*b**2 - 10073497*b + 1239816 = 0.\nAnswer: -154977, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 448271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(539) - (-5*(sqrt(539) + 0) + sqrt(539))))**2*4 + -2)*-4.\nAnswer: -5174392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1740 divided by -348?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14553 + 117*r - 14553)*(0*r**2 + 0*r**2 + 7*r**3).\nAnswer: 819*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 143168 - -3?\nAnswer: 14316b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*-6*(sqrt(363) + -1)*2)**2 + 5.\nAnswer: -1848*sqrt(3) + 52326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2689.97278 - 2690. Let d = 0.027217893 + p. Round d to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 100 - 22 = 0. Suppose -u*j = -j + 360. Let d = -28 - j. Solve -4*i = -d + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Let b(n) = -12*n - 6. Let x(s) = -180*s - 88. Let h(d) = -88*b(d) + 6*x(d). Give h(y(f)).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r*r\/(r*r*(r\/r**(1\/16))\/r*r)))))\/r**(2\/23))\/(r**4*r*r*r*r**(-5)*r) assuming r is positive.\nAnswer: r**(-423\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one eighths of a millennium?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127790 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.35. Let i = -0.25 - z. Let l = 1628.5 - 1628.4. What is the biggest value in 2, 5, i, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 363*d + 1878. Determine v(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 + 0*n**2 - n**2)*(-310 + 477 + n**2 + 2*n**2) to p + c*n**4 + l*n**3 + k*n**2 + y*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 27 + 1)*(-7 - o + 7) + (o + 0*o + 0*o)*(1 + 3 - 1).\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13539.85794ns?\nAnswer: 0.00000000002238733125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176)*2 + 4)**2.\nAnswer: 128*sqrt(11) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 4 (c) -5 (d) 2 (e) -4 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 8:04 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11205, 0.2, 1, -1\/3 in descending order.\nAnswer: 1, 0.2, -1\/3, -11205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 2*p + 1. Let b(y) = -13*y**3 - 10*y - 7. Give b(f) + 5*m(f).\nAnswer: -18*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11736 (base 8) to base 11.\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3371*n**2 + 2*n - 1158. Let t(w) = 1687*w**2 + w - 580. Let h(d) = -3*c(d) + 5*t(d). What is the second derivative of h(s) wrt s?\nAnswer: -3356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 36. Suppose -5*t + 509 = 684. Let j be p(t). Solve k = 4*k + 4*s + j, -k - 5*s - 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + p + 12. Suppose -p*o + 2052036 = -o. Let d be 2*1 - o\/6. What is d rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 692 divide 1654150572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -74. Suppose o*w - 340 = -10*w. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 63*n**2 + 433*n - 474. What is a(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387393, -774793, -1162195, -1549599, -1937005, -2324413?\nAnswer: -2711823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 7. What is the units digit of y\/(4\/3) + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -4)*(-10)\/(-4). Suppose 0*h = -4*g + h - 1875, -a*g - h - 2355 = 0. What is g rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9964 + 9972. Let n be (3\/(-1 + 2))\/1. Solve k - v = n*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16079217*m**2 - 4 + 4.\nAnswer: 16079217*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**2 - 12*u. Let g(l) be the first derivative of -10*l**3\/3 - 11*l**2 - 55. Let d(r) = -6*g(r) + 11*q(r). Let b(x) = -23*x**2. Determine d(b(f)).\nAnswer: 2645*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251859079?\nAnswer: 19, 13255741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -239, -5, 6, -2 in increasing order.\nAnswer: -239, -5, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.738582 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2460 - 2?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Let g(k) = -k**3 - 5*k**2 - 5*k + 1. Let p = -4 - 0. Let t be g(p). Solve 2*u + t*z + 1 = -19, 0 = -4*u - 3*z - 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -410*k - 17008. What is b(-41)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let o = 1 - 1. Let w(x) = -x**2 - x + 4. Calculate w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-2))\/(345\/(-46)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -385 - -0.5.\nAnswer: -384.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 15*r**3 + 4*r + 2 + 3*r + 3*r + 4*r - 12*r as s*r**2 + g*r**3 + k + d*r and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39303 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (2 - 5 + 4)*(-1 - 2 + 1) + 35 + 17 - 13 + 13 + 5 - 4)*(4*q - 4*q + 2*q).\nAnswer: 106*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 z when four letters picked without replacement from {z: 7, b: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3911, -5732, -5463, -3110, 1321, 7824, 16393, 27022?\nAnswer: 39705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 90724?\nAnswer: 90723.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 5. What is the least common multiple of 12 and (-54 + 2)\/(3 + u)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 divided by 16?\nAnswer: -143\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -545, -1224, -2165, -3362, -4809?\nAnswer: -6500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3007\/8 + -15011\/40. Let v = 58595\/6 + -9789. Calculate the common denominator of r and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408697.7 nanometers to kilometers.\nAnswer: 0.0000004086977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5\/7 - 82*a**4\/7 - 6*a**3\/7 + 242*a**2\/7 + 164*a\/7 = 0.\nAnswer: -1, 0, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.6 - -1.4. Let m = z - 8. Which is bigger: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (9 + 5)) + 721 + -716?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 48555?\nAnswer: 388440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**4\/8 - k**3 + k**2 + 2. Let o(w) be the second derivative of f(w). What are the prime factors of o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:15 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffmfgghggff. Give prob of picking 1 g and 2 f.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 3. Let u(l) = 2*l + 4. Let i(z) = -2*z - 5. Let g(h) = 5*i(h) + 6*u(h). Calculate 5*g(d) - 2*n(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -670 divided by -10\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 + 10*d. Let t(w) = -3*w**2 - 6*w. Let y(u) = 12*u - 17. Let z be y(1). Let j(s) = z*t(s) - 3*b(s). Let x(r) = -3*r**2. Give x(j(p)).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -5*m - 144. Suppose -6 = m*v - 22. Solve -4*o + 18 = v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -12295 and -12679 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/117 - -40\/117. Which is the fourth smallest value? (a) 2\/19 (b) 2 (c) m (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -19*m**3 - 2*m**2 + 10*m - 3. Let i(j) = 14*j**3 + 3*j**2 - 8*j + 3. Give 5*i(a) + 4*y(a).\nAnswer: -6*a**3 + 7*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 8*a**2 + 4*a - 2. Give p(-6).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - 0, -j + u + 84 = 0. Let g = j + -56. Suppose -5*k + 7*k = g. What is the remainder when 50 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12397*m**4*t**2 - 20327*m*t**3 - 1295199476*t**3 wrt m?\nAnswer: 49588*m**3*t**2 - 20327*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4 + 2*b**3\/3 + 4*b**2 + 4*b. Determine u, given that j(u) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 7190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 6*x - 4. Let m be b(6). Let k be 4\/(-14) - m\/(-14). What are the prime factors of k\/5 + 65\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + 46 - 96 - 3*j + (3*j - 2*j + 0*j)*(7 - 3 - 3) in the form x*j + v and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-5*(sqrt(130)*-2 - sqrt(130)) - sqrt(130)) + sqrt(130)))\/((sqrt(70) + sqrt(70) + sqrt(70)*3*3)\/sqrt(7)) + 2.\nAnswer: -15*sqrt(13)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 > -2.1479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1263 + -225?\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3615 divided by 5?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 9. Let c(p) = -p + 3. Let m(s) = 2*s - 1. Let b(q) = 3*c(q) + m(q). Calculate b(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 a factor of 4506089087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Let b = 19.3 - 2.3. Let x = -12 + b. What is the second smallest value in x, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 4 - (-4)\/2. Suppose f = -5*l + 134 - 34. What is the greatest common factor of l and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from apbauuvppvpbabp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from lnljnjnmln?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 14 - 106. Solve -d = 8*q - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98680 is divided by 1109.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 5. Let m be r(5). Suppose m = v - 6 - 11. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 11*q - 10. Let n be i(12). Suppose -n - 4 = 3*k. Sort 0, -3\/4, k, -2\/7.\nAnswer: k, -3\/4, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 - 2 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.533 - -21.074. What is d rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 8. Let h = 10 - 4. Let y be r(h). What is the biggest value in y, 1\/4, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 - 64. Suppose 6 = y + y. Let d be -1*(0 - -2) - -21. Solve -5*b - 2*i - h = 0, -i = y*b + i + d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 17 + 40*z to the form h*z + q and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -6*g + 12, -5*k = g - 54. Let z = 17 - 1. What is the lowest common multiple of z and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 12384 (b) 2\/3 (c) -9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -62, -72, -86, -104, -126?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (48\/20*-1)\/((-5)\/(-25)). What are the prime factors of (4 - (-44)\/y) + 644\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 7*u - 9. What is s(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.4199 rounded to one dp?\nAnswer: -81.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 0.4 (c) 44 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let c(h) = 6*h + 1. Let z(g) = 7 + 14 + 4*g - 13*g + g**2. Let x be z(5). Give x*c(o) - 5*u(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 1253 + 6*q**2 + 0*q**2 - 2*q + 7*q**2.\nAnswer: 9*q**2 - 2*q + 1253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1424)\/(-40) + (-10)\/(-25) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:57 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 24. Suppose -f = -s - 0*s + 25, 2*s + 2*f - 70 = 0. Let r = v + s. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -109. Let k(o) = -2*o + 16. Let u be k(q). Calculate the highest common divisor of u and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11937 + -7845. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 2*i**2 + 3. Suppose -1 = 2*g + 1. Let t(n) = -n**3 - n**2 - 1. Determine g*t(v) - z(v).\nAnswer: 3*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -16\/11 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 2, 18, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from omrzrzd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-2) - (-8 + 135\/18). Suppose 5*g = 4*p - 3858, 0 = -2*p + c*p + g - 3870. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 y, 1 t, and 1 d when four letters picked without replacement from {t: 3, d: 4, h: 3, y: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4067, 8081, 12047, 15965, 19835, 23657, 27431?\n\"Answer: -24*f**2 + 4086*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69643142147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 3*s**2 + 0*s**2)*((7 - 4 + 8)*(3*s + s - 3*s) - 2 - 2*s + 2).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6592 - 6591.999997097. What is z rounded to seven dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = -2*m. Let s be ((-1)\/2)\/((20\/24)\/(-5)). What is the first derivative of s*f**4 - m + 4*f**3 - 4*f**3 wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16922683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421 by 263641.\nAnswer: 421\/263641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2493, 9431, 20005, 33405, 48821?\nAnswer: 65443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99824610 divided by 7230.\nAnswer: 13807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14013 - 4?\nAnswer: -14022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418317?\nAnswer: 3, 139439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7163 and 4199.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.322 - 2.06. Round n to 2 decimal places.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1451 + -14?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r + 3. Let n(l) = 105. Let q(s) = 262. Let y(o) = -5*n(o) + 2*q(o). Determine -i(u) - 4*y(u).\nAnswer: 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*u = 74*u. Solve m = -2*k - u*m - 5, -17 = 8*k + 5*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 2*i + 7. Let j(p) = -4*p**2 - 11*p - 36. Let o(d) = 2*j(d) + 11*w(d). Differentiate o(q) with respect to q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 0.1019?\nAnswer: 0.006114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/24*(-4)\/(-3)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1110 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvue when four letters picked without replacement from rslelrvsvslsuvsvvvrs?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*w + 62 = 0, -40 = -274*k + 278*k - 2*w. Which is the closest to 4? (a) 4 (b) k (c) 0.42 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1815047 and 4251.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 - 6*o**2 + 2 - 3*o**3 + 6*o**3 + 0*o**3 in the form n + t*o**3 + s*o + w*o**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*w - 14*w = -24*w - 18042. Calculate the greatest common divisor of 66 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/40268 and 15\/1304.\nAnswer: 13127368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {r: 3, m: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*y - 3, 4*m - y - 11 = 2*m. What is the lowest common multiple of 9 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -9 (b) -1\/4 (c) 1 (d) 9\/4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - -13 - (2 - (-3 + 4)). Suppose 5*w - t + 11 = -48, w + 2*t = -14. Let s be (-173)\/w - (-6)\/8. Is s bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.22. Let a = j - -0.54. What is a rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 1, -17, -57, -125, -227, -369, -557?\n\"Answer: -g**3 - 2*g**2 + 11*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1422, -1435, -1462, -1509, -1582, -1687, -1830?\nAnswer: -2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q - 51*q - 4*s - 46 = 0, 26 = 5*q - 8*s. Let f be -2 - 1486*1\/8. Let n = 183 + f. Which is bigger: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59.1 - 62. Let r = -1.8 - -2.7. Let n = r + k. Which is the third smallest value? (a) 0 (b) -1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*d - 39*d - 1953556 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 42.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 - -208. Let i = -6 - -8. Suppose 7*h - i*h = x. Calculate the remainder when 13 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**6 + r**4 + r**2. Let u(t) = t**6 + 16*t**4 - t**2 - 5. Let d(q) = u(q) - 2*z(q). What is the third derivative of d(j) wrt j?\nAnswer: 360*j**3 + 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 10602306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01654242 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 17*k**2 + 60*k + 3. Let p be (4472\/(-2795))\/(0 + 4\/50). Let n be x(p). Find m, given that 1\/6*m + 0*m**2 - 1\/2*m**n + 0 - 1\/3*m**4 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**3 - 8*n**3 - 5*n**3 + 16*n**3 - 11*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-188)\/705)\/(238\/35)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1112 and 17\/20208.\nAnswer: 2808912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (2 - -6) - 1) + -18 + 4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(171)\/sqrt(144).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 94*x + 108 = 11*w - 18*x, 2*x = 3*x + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.1. Let z = -10.4 + 11.4. Which is the nearest to 1\/3? (a) p (b) z (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(95)*3)\/sqrt(5) + sqrt(19))**2.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 9:05 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 851 + 152. What is the greatest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*g**3 + 1606*g**3 + 776*g**3.\nAnswer: 2423*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 195? (a) 0 (b) -0.17 (c) -3 (d) -9 (e) 88\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115563234 and 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3978\/1768 - (-2 + 26\/8) and 30470\/70 + (-2)\/7?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -140, -537, -1192, -2105, -3276?\n\"Answer: -129*m**2 - 10*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -331508*t - 16. Let h be z(-2). What is h rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -211*s**6\/10 - s**3\/6 + 16*s**2 + s - 155. Find the second derivative of g(i) wrt i.\nAnswer: -7596*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*(31 - -219) - -2. Suppose 6 = -2*x + 78. What is the third derivative of -253*v**6 + 122*v**6 + i*v**6 + x*v**2 wrt v?\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.4 (c) 11 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*w**3 - 3005*w**2 - 49060*w + 25280.\nAnswer: 5*(w - 316)*(w + 16)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let d(a) = 14*a**2. Determine d(r(g)).\nAnswer: 56*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 + b**2 + 11*b**2 - 5*b**3 - 11*b**2 to v*b + s*b**3 + m*b**2 + o and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 9*k**2 + 419*k + 183. Let g be n(-23). What is the greatest common factor of 20 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*19453.\nAnswer: -5835.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 6\/533 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9093631 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(66))\/(sqrt(72)\/(sqrt(12)*2) + sqrt(6)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 4*g + 5*g + (5 - 2 - 1)*(-1 + 1 - 3*g))*(-g**2 + 3*g**2 - g**2) in the form w*g + q*g**2 + i*g**3 + x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - -0.02286?\nAnswer: 20.02286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 7. Suppose 5*i + 3*z + 12 = 0, -4*z + z = 4*i + u. Let g be (-1)\/((-1)\/i*3). Which is the nearest to g? (a) 0.3 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-2.18.\nAnswer: -0.1526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 492960 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3504942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + ((-2)\/5 - (-264)\/135). Let t = d + -43\/45. What is the nearest to 2\/7 in t, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/3)*p**(-6)*p**(2\/31)\/p**12 assuming p is positive.\nAnswer: p**(-1637\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1097, -1094, -1081, -1052, -1001, -922, -809, -656?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -16. Let b(r) = -r**3 + 7*r**2 + 2*r - 2. Suppose -4*d + 48 + 96 = -4*l, 5*l - 18 = -d. What is the remainder when d is divided by b(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(0 - 2)*1. Let r(p) = 5 - 4 - p + 3 - 5. Let o(y) be the second derivative of -y**3\/6 + 3*y. What is t*o(m) + r(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68260122 smaller than 68260121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71670 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, 3, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -17*a**6\/120 + a**5\/60 - a**4\/8 - 5*a**3\/6 - a**2. Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = y - 9, 4*y - 4*x - 1 - 3 = 0. Suppose -y*i + 2 = -28. Let w(b) = b - 3. What is the remainder when w(i) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3985334 <= -3985265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 35*m**2 - 63*m - 4814. Give g(-11).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by 190048\nAnswer: 155\/190048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88901 - 20621. Round g to the nearest one thousand.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71773 (base 8) to base 2.\nAnswer: 111001111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (18 + -8 - -12) + 4 + -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 0\/(1 + 0). Suppose 7*i = u*i + 275. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -196?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-44)\/33)\/(38\/(-1197)))\/(-5 + 7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 0*f - f**2)*(17*f - 28*f + 3 - 7) as b*f + h*f**3 + x*f**2 + t and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 18*y**2 + 2635*y + 517. What is a(-43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2133 + -2?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 972665648 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -72?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 + -0.6. Let m = 30.6 - 29.6. Suppose 3 = -3*z - 0. What is the second biggest value in z, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + -5 + (((sqrt(200) + 2 + sqrt(200) - sqrt(200)) + sqrt(200) + sqrt(200))**2 + -2 - (5 + sqrt(22)\/(sqrt(11) + sqrt(11) + sqrt(99)))).\nAnswer: 599*sqrt(2)\/5 + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10511)\/457)\/((-30)\/6)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h. Let i = -15 - -30. Let k be i*1\/(-6)*-2. Suppose -4*v = -3*a - 14, 3*v + k*a + 2 = a. Let g(j) = -j. Give v*r(w) + 3*g(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/6, -3\/7, 368908?\nAnswer: 368908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 n, and 1 i when four letters picked without replacement from {a: 2, h: 1, v: 2, n: 4, i: 3, r: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -940, -1672, -2188, -2482, -2548, -2380, -1972?\n\"Answer: g**3 + 102*g**2 - 1045*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + -4*(sqrt(204) - -2*sqrt(204)) + sqrt(204) - sqrt(204))\/sqrt(12) + (2 + 1 + sqrt(68) - sqrt(68))**2.\nAnswer: -11*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 - 52\/(-8). Suppose 3*g = -5*t + 33 - r, 0 = 4*g + 3*t - 48. Solve -5*q + o = 1 - 23, 0 = 5*o - g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 45. Suppose 6*q = m*q, -4*q + 295 = o. What are the prime factors of o?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -1)\/((2 - 4)\/(-4)). Let v(y) = -2 - 8*y**3 + 13*y**3 - 6*y**3 + 5*y**2 + 26*y. What is the lowest common multiple of 18 and v(r)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.1 + -49. Let c = -3.316 + m. What is c rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + (sqrt(605) - 1*sqrt(605)))\/sqrt(11) + sqrt(55))\/(sqrt(605)*2).\nAnswer: sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/(-63))\/(((-260)\/15)\/(-26))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 25 = 8*u, -6*u - 13 = -2*b - u. What is the biggest value in 1\/2, -1\/5, -8, 45, b?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*4\/27. Let r = 277.5 - 278. Which is the third smallest value? (a) r (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -530480747 minus -4365.1?\nAnswer: -530476381.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)*(z\/(z*z\/z**7))\/z*z)\/(z**1*z*((z**(-2)\/z)\/z)\/z)*z**(2\/15)*z*z**(-1)*(z**0*z*z)**(-11\/6) assuming z is positive.\nAnswer: z**(256\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*9\/(-189)*(17 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.33 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/15)\/((-43)\/(-215)) - 408\/(-558)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = t - 66, -138 = -5*t - z + 128. Let f(o) = -o**2 - 2*o + 7. Let y be f(-7). Let s = t + y. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -620341, -620304, -620267, -620230?\nAnswer: -620193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - ((-2)\/4)\/(14\/1128848) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*z + 2*z - 5*u, -z = 4*u - 19. Let h be (1128\/(-9))\/(-4)*z. Suppose -6*a + a + 4*c = -h, -74 = -3*a - 2*c. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*z - 3. Suppose -4*l + 3 = -j, 5*l - 15 = z*j - 4*j. Solve y + 0*v - 12 = -l*v, -v + 9 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*z - 2*r, 4*z + 5*r = -20 - 3. Sort z, -27, 10 in ascending order.\nAnswer: -27, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142202, 142197, 142190, 142181, 142170?\nAnswer: 142157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**3 + 20*y**2 = 0 for y.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1798 and 217?\nAnswer: 12586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3022*j + 7451*j + 2975*j - 522*j.\nAnswer: 12926*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -348, -3\/29, 0.292?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*c + 1286 = -41*c - 1894 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -73*s**4\/2 - 653*s**3 - 2848*s**2 - 3184*s + 384 = 0.\nAnswer: -12, -4, -2, 8\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/6*-3*2\/(-6). Let r be (-7 + 3)*i + 10\/3. Let w be (-98)\/10 + (-4)\/10. Is w at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/5))**(13\/5)*j**(3\/8)\/j**(-1) assuming j is positive.\nAnswer: j**(1003\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/13 + 2484*o\/13 + 4960\/13.\nAnswer: 2*(o + 2)*(o + 1240)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 - 8*j + 5*j**2 + 7*j in the form z*j**2 + b + s*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139465 minus -2072.44?\nAnswer: 2072.579465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4.3. Let d = t + -3.2. Which is smaller: 5\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/22)\/q*q**(2\/37)\/q)\/(q*q\/(q**(-5\/7)\/q)*q**(-8)) assuming q is positive.\nAnswer: q**(18253\/5698)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 180*r - 919. What is d(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 8*v**3\/3 - 6*v**2 + 4*v + 12. Factor c(o).\nAnswer: 4*(o - 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*v + 1202 = 0, -4*v + 1874 = 5*o - 125. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {l: 15, z: 5}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*r - 16 = 0, -5*i - 3*r - 6 = -17. Let y(n) = n + 6. Calculate the least common multiple of y(i) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 2 - (-41)\/3. Let k = w - 12. Let m = 0.1239 + 0.2761. Sort -19, k, m, 4 in increasing order.\nAnswer: -19, k, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 7 + 90 + 12?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904088?\nAnswer: 2, 113011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t**(-4\/9))**46\/((t**(2\/9)\/t*t)\/t**(-6))**(1\/3) assuming t is positive.\nAnswer: t**(7948\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50178133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.06, 585, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.54125366 to two decimal places.\nAnswer: -2.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10632*s - 42517. Calculate j(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -82. Let r = -7 + 1. Sort o, r, 1 in descending order.\nAnswer: 1, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2630*r**2 + 1385 wrt r?\nAnswer: -5260*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 c when four letters picked without replacement from {n: 4, c: 1, w: 5, m: 4, e: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.758, 4, 0.5 in decreasing order.\nAnswer: 4, 0.5, -2.758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 9*b - 14. Let f be d(-11). Let o(g) = -g**3 + 9*g**2 - 8*g + 2. Let h be o(f). Solve 13 = -q - 0*q - 5*c, -h*q = -2*c + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 - 0.72. Let u = -1.9 - a. What is the biggest value in -0.3, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5*p - 40 = 0, -p = r - 18 + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1535405\/222369*(-42)\/(-2)?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (340\/94095)\/((-76)\/1026)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -31*u**6\/15 - 5*u**4\/6 - u**3\/6 - 10085*u**2\/2 + 6786*u. Differentiate j(z) with respect to z.\nAnswer: -248*z**3 - 20*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*j - 550*j**6 - 40*j + 247*j**2 + 50*j wrt j?\nAnswer: -66000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 86620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -417, -416, -415, -414?\n\"Answer: f - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y + 6*y - 14*y**2 + 9*y - 11*y**2 - 6*y + 19*y**2 + 5*y**3.\nAnswer: 5*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-15))\/((-1)\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29bc + -1bd?\nAnswer: 27ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(sqrt(363) + 1 + -5 + -4)*1 + 2)**2.\nAnswer: -1716*sqrt(3) + 3943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxyxxxxxxxxxxxxxxxxx. Give prob of picking 2 x and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 18 - 21. Let l be (-217)\/(-4) - 1\/4. Suppose -5*u + 3*p = -56 - 34, -k*u + 4*p = -l. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15813*v + 79069. Calculate s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 - -97. Let v be 26\/(-65)*((-3)\/6 - 2). What is the fourth smallest value in b, -1\/3, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-2)*(4 - 0). List the prime factors of 30\/(-4)*32\/n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-2*sqrt(8)) - (sqrt(3) + (sqrt(243) - (-2 + sqrt(243))**2)).\nAnswer: -93*sqrt(3)\/2 + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 13) in base 10?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -594*l**4 - 19*l**3 + 20*l**3 + 590*l**4 - 2*l**2 + 9 + 4 + 1 as p*l**2 + x*l + d + j*l**3 + r*l**4 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2. Let x = -169 + 2029\/12. Let p(v) be the second derivative of 0 - 2*v + 0*v**2 + 0*v**3 - x*v**4. Give m(p(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2 = 2*h, -n + 2*h - 4 = -18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158346 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = 5*u + 23, -3*u - 9 = 0. Let v(a) = 5*a + 5. Let p(b) = 9*b + 9. What is g*p(i) - 7*v(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -22. Suppose 22*k - j*k + 669 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-7)\/((-1050)\/20)*5*(-24)\/(-8160)?\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 i when four letters picked without replacement from {s: 3, w: 2, i: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1062 and 144216.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 9 + (-12 - -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 612311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 6:50 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2084.7 - 2084.6. Let d = 3 - 7. Let l = 6 + d. What is the nearest to c in 0.1, l, -11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -55.17 and 4163132.\nAnswer: 4163076.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 351 + 65136?\nAnswer: 65487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161917*a**2 - 37 + 18 + 19.\nAnswer: 161917*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 13*w**2 + 197*w - 22. Calculate v(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1430 + -1429. Put i, -4, 158 in ascending order.\nAnswer: -4, i, 158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.330562 rounded to 3 dps?\nAnswer: 0.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {c: 6, e: 3, v: 1, y: 2, n: 7}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -711*a = -728*a + 459. Solve 40*i - a*i = 52 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1057721 - 1.8.\nAnswer: -1.6942279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -482\/9, 2\/11, -0.0453?\nAnswer: -482\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1052051730 and 2?\nAnswer: 1052051730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - (-1 - -5)) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 52362.\nAnswer: 104724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*z + 3*z = -14*z + 15*z - 91*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 10. Let t = 3.878 - -0.182. Let z = t + g. Sort -2, z, 0.5.\nAnswer: -2, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0. Let q = -529\/4 + 133. Let u = -2.06 + 0.06. What is the third biggest value in q, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 - 12*j**2 + 10*j**2 - 15*j**2 - 11*j**2 + 2*j**2.\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16407 + -3335?\nAnswer: -21744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2\/17 (b) -297 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 8 = 0, d + 6756 = 5*v - 2*d. Suppose a = -8*a + v. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Solve 2 = -2*q + 4*x, q + 1 = 3*x - v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-7)\/140*(-3435)\/(-42) and 79\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x*x\/x**3)\/x)\/x)\/(x\/x**(-6)))\/(x**(-1\/2))**(3\/2))\/((x*x*x**(-6)\/x)\/x*x*x*x*x\/(x**(-4)*x)*(x\/((x**(-1)\/x)\/x))**29) assuming x is positive.\nAnswer: x**(-501\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9675 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**5 - 19430*w**4 - 5417155*w**3 - 344859160*w**2 + 2731614400*w + 3071075840 = 0.\nAnswer: -136, -1, 8, 4151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3835 + 4861. Is s a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313 + -318. What is the closest to 0.1 in 0.34, 4, t?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 11*q - 16. Let f be u(-8). What is the derivative of 0*z + 0*z + f + 6*z**3 wrt z?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -66*f**2 + 8*f + 1. Let i be j(-3). Let m = 620 + i. Let -4\/3*y**2 + 0 + 2\/3*y + 2\/3*y**m = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (271\/(17886\/(-176)))\/(4\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 1, 27, 85, 187, 345, 571, 877?\n\"Answer: 2*u**3 - 2*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 5*l - 4. Let v be d(3). Suppose v*i + 4*b = 7*i - 253, -3*b - 6 = 0. Suppose -7 = r - i. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 73*k**2 - 88*k - 57. What are the prime factors of m(56)?\nAnswer: 3, 89, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*t**4 + 4*b*t**3 + b*t + 23*b + 2*t**3 - t wrt t?\nAnswer: -12*b*t**2 + 24*b*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*d + 36, -76 = 4*k - 5*d + 2*d. Let p = -8 - k. Solve n - p = 5*w + 9, -8 = 5*w + 4*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307043 is divided by 17057?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microsecond in nanoseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 81. Let o(c) = -3*c**3 - 7*c**2 + 7*c + 10. Let f be o(-3). Let z be (11 + 3 + -10)*f\/1. Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007297743 to six dps.\nAnswer: 0.007298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3915)\/729*3 - 1\/(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from igiiggiiigggggiigi.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -13\/3*i**3 + 0*i**4 + 0*i - 18\/7*i**7 + 0*i**5 + 28 + 0*i**2 + 0*i**6. Find the third derivative of f(a) wrt a.\nAnswer: -2160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**5 + 5*p**4 - 15*p**3 - 25*p**2 - 10*p = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k**0\/k*k)\/k))*k**(2\/13))**(-7\/4) assuming k is positive.\nAnswer: k**(77\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5603 - -39175\/7. Put 0.4, k, 6\/13 in descending order.\nAnswer: 6\/13, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 1\/4, 1, -56\/15, 6, 1\/2 in ascending order.\nAnswer: -56\/15, 1\/4, 3\/8, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5 + u**2 - 6*u + 2*u - 8. Let d be v(5). Solve 5*n + d - 17 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 368 + -512. Let o = q + 78. Which is smaller: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*b + 17, 4*v = 2*b + 3*v - 6. Suppose b*g = g - 4. Let f be (-6)\/(-2)*g - -7. Solve 13 - 1 = -f*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -783, 5, 3, -1, -5, 54 in decreasing order.\nAnswer: 54, 5, 3, -1, -5, -783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2243034 + -14?\nAnswer: 2243020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 13*y - 4. Suppose 3*d + l = 2*d - 1, 0 = -4*d + 5*l - 49. What is the units digit of p(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4\/5)*j*j)\/((((j*j**8)\/j)\/j)\/j*j))**9 assuming j is positive.\nAnswer: j**(-261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x + 3*x - 2*x)*(-3*x**3 + 0*x**3 - x**3).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*((i*i**(1\/2)*i)\/i)\/i*i*i)\/((i**(-1\/11)\/i*i)\/i*i*i))**10 assuming i is positive.\nAnswer: i**(505\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 886437659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Let d = 0.5 - n. Which is the closest to 2? (a) 4\/5 (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32364523 (base 7) in base 4?\nAnswer: -22210312210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135661*j**3 + 536066.\nAnswer: 406983*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00307969021 rounded to seven dps?\nAnswer: 0.0030797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 2\/7, 0.1, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4 - 14 = w, -324*x - 77*w = -320*x + 1710 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 388315195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -12. Let v(j) be the third derivative of 0*j + 4*j**2 + 0 - 1\/90*j**u - 1\/45*j**6 + 0*j**3 + 1\/54*j**4 - 1\/135*j**7. Let v(x) = 0. What is x?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/304 and -35\/5966.\nAnswer: 47728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32597813, -65195629, -97793445, -130391261, -162989077, -195586893?\n\"Answer: -32597816*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, 11, 190, -1\/4 in descending order.\nAnswer: 190, 11, 4, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1902 + -965. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - -7) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 5*w + 7, 15 = 405*s - 402*s + w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25839679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 - k + 3. Let a be s(-3). Let u(n) = n - 5. Let x be u(a). Suppose 2*l - x - 7 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110122201 - -2022?\nAnswer: -1110120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -141\/4. Let d(j) be the second derivative of -2*j**3\/3 + 41*j**2\/2 + 51*j. Let r be d(9). Which is the nearest to 0? (a) -2\/17 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/233105 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370 = 3*a - m + 336, 3*m = 4*a - 42 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/33 and 59\/273?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 575 + -545. What is the remainder when 138 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 11. Let f be (-2)\/((-6)\/h)*15. Let y be 3\/(-12) - f\/(-12). Let u(k) = -k + 3. Calculate u(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019579 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3)*(-18)\/(-4). Suppose -2*p - 72 = -z*p. Let i = p - -5. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.08, -1\/5, -5, 1 in descending order.\nAnswer: 1, -0.08, -1\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 + 12*r + 11)*(2 + 2 - 3)*(1 - 3 + 1) as u*r + t and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (10 + -4 - -1) + 1 + 11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1)*s*s)**3\/(s**(-10)\/s*s**(-5)) assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25116 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12f04 + 5?\nAnswer: 12f09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:56 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 31*m = 21. Let c(h) = h**3 - 12*h**2 - 13*h + 5. Let p be c(13). Solve l + 28 = -p*j, 1 = -m*l + j - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023222023 to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let v be ((-2)\/(-2) - 5)\/j. Suppose 114 = 5*a - a - 2*k, -63 = -v*a - k. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340562.\nAnswer: 2, 47, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1810*b**3 + 706*b**3 - 543*b**3.\nAnswer: -1647*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 + -5.08. Let h = 330 - 339. Which is the closest to 2\/5? (a) y (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*b + 27, -b - 10 + 3 = -r. Is (4\/(-10))\/(r\/(-225)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 14. Let o be f(-18). Suppose 144 = 4*c - 2*g, -2*g = -3*g - o. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -1, 20, 71, 164?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 57?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 240. Let n(m) = m**2 - 27*m - 336. Let c be n(-12). What is the highest common divisor of v and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 2*z - 3*z**2 - 4*z**2 - 3*z**2 + 6*z**2 + (-3*z + 0*z + 2*z)*(-3*z + 2*z - z) + 2*z**2 - 4*z**2 + 3*z**2 + (3*z - 5*z + z)*(0*z + z - 6*z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, -8, 12, -13, 4, -106 in decreasing order.\nAnswer: 13, 12, 4, 3, -8, -13, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 - 5*o. Suppose -17 = -5*w - 7. Suppose w*g = 4 - 0. What is the units digit of x(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2312502*i**3 - 3*i**2 + i - 1. Let d be s(2). Let b be (-2)\/2 - d\/(-5). What is b rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 i, and 1 w when four letters picked without replacement from {w: 1, i: 4, x: 4, u: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 515225 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: b\"What is the cth term of -335238, -335630, -336018, -336402, -336782, -337158, -337530?\n\"Answer: 2*c**2 - 398*c - 334842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3095204191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 295 - 1. What are the prime factors of (-12)\/((-8)\/2) + w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 5. Let b be -4*((-27)\/12 + 2). Suppose -2*o = -9 - b. What is x(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 + 5*k + 1. Suppose 0 = 4*p - 2*p - 10. Give d(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let p(q) = 7*q**2 + 3 - 3 - 4*q**2. Determine h(p(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 490619740 and 490619741 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:52 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -579040*w**2 - 50752*w + 4 wrt w.\nAnswer: -1158080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170816 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 - -6?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and -0.6?\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 562, 1235, 2146, 3277?\nAnswer: 4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 135 = 0. Suppose -48*n + 6 = -m*n. Suppose 3*w + 0*w = 0. Solve -n*r - 14 = -4*y, r = -y - w - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/((-2)\/(-12)). Solve 0 = h*w - 9 - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.13 - 20. Let y = p - -0.86999815. What is y rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57761903 divided by -1?\nAnswer: 57761903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(5040) - sqrt(5040)*1 - sqrt(5040))\/(-1*sqrt(567) - sqrt(7)) + -2.\nAnswer: -1 + 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2515 and 26\/636295.\nAnswer: 636295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 740 - 122. Let a = 629 - o. Let c = 3 + -3. Solve c = -4*f + 5 + a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(-20)\/(-15). Let p be g*(-3 + (-26)\/(-9)). Find x, given that 0 - 2\/9*x**2 - p*x**3 + 0*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13575049?\nAnswer: 53, 256133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021189242 to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*k**3*o**4 + 14*k**3*o + 3*k**3 + 921*k**2*o - 30884*o**4 - 3*o wrt o?\nAnswer: -372*k**3*o**2 - 370608*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(1\/6)\/o)*o*o**(-1\/2)\/o)\/(o*o**5*o\/o**(-6\/5)) assuming o is positive.\nAnswer: o**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-12))\/((-1)\/16*-2*1306\/(-2612)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssfffs.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1022935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 10*b - 64. Suppose z = 4*g + b, -4*g = 37*z - 32*z + 15. Solve -z = -0*a - a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0413 and 409?\nAnswer: -16.8917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 3:28 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 978125 divided by -5?\nAnswer: -195625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 82787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbce when four letters picked without replacement from {e: 1, b: 1, c: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24986365 is divided by 125?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 336237.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((12\/(-3))\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - (15 + (-35 - (19 - 14))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**9*g)**33)**22 assuming g is positive.\nAnswer: g**7260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -0.3253727?\nAnswer: 0.26029816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 438055161 bigger than 438055163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9354 + 1206 = -4*x. What is x rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-24) - (-12)\/5776*(-6328)\/(-36) and 49\/22.\nAnswer: 7942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -9*t**5\/2 + 15*t**4 + 9*t**3\/2 - 57*t**2 + 54*t - 12 = 0.\nAnswer: -2, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -248*l**2 + 31*l - 31. Let n(t) = 31*t**2 - 4*t + 4. Let a = -5424 + 5420. What is a*f(v) - 31*n(v)?\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d = -17*d + 23*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2368858659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/20 + v**3\/3 - 5*v**2\/2 - 19*v. Is b(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/7)\/(1\/134). Let p = -111 - b. Calculate the remainder when p is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 2145?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 19*y**2 - 15*y - 8. Let h be a(-18). Let u = h + 34. Which is smaller: -27 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -783 - -780. Sort m, -2, 2, 19 in decreasing order.\nAnswer: 19, 2, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2265.2 + 2265. Which is the smallest value? (a) -2\/11 (b) s (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691111?\nAnswer: 3, 401, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.29384 millilitres in litres?\nAnswer: 0.01329384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105\/2 + -519\/10. Let o(g) = -g**3 - 8*g**2 - 2*g - 15. Let z be o(-8). Let w = 10 + -7. What is the third biggest value in z, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5795 * -4.66\nAnswer: -27004.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 + 31*f**2 - 10*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 17. Let s(k) = -3672*k. Calculate h(s(v)).\nAnswer: -7344*v - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 1001328.\nAnswer: 1001328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 126 = 4*m. Let p = m - 61. Suppose -32 + 490 = p*x. What are the prime factors of x?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21388 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -3, -78, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7902?\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*t**3 - 202*t**2 + 496*t + 352.\nAnswer: 2*(t - 11)*(t - 4)*(7*t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, r: 3, p: 1, w: 3, a: 5}. Give prob of picking 1 r and 3 n.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 20*i. Let n(t) = 25*t**2 + 71091. Calculate v(n(w)).\nAnswer: 500*w**2 + 1421820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d*d**4*d))**(2\/31))**(-2\/7) assuming d is positive.\nAnswer: d**(4\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*c**3 - 4013*c**2 - 7053 wrt c?\nAnswer: 24*c**2 - 8026*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 1, i: 2, f: 4, u: 3, v: 4}. Give prob of sequence uv.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w - 12. Let b be o(-2). Is ((-2)\/(b - -6))\/((-1)\/35) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5 = 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -7426389?\nAnswer: -7426395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 401*v**5\/6 + 17*v**4\/24 - 23*v**3\/6 + 41*v**2. Let k be s(-11). Round k to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15946.49 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/30)\/(d**3\/(d\/(d*d\/((d**0\/d*d)\/d)*d*d)))*((d*d**(-1\/3))\/(d**(1\/2)*d))**16 assuming d is positive.\nAnswer: d**(-611\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 515 + -515. Solve -5*p + p + 12 = z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 4032 = 3*t. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1072.76211ns to weeks.\nAnswer: 0.000000000001773746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**4\/8 - q**2. Let p(y) = -6*y**2. Calculate c(p(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1271032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2584 - 3439 = 322*k + 10798 + 245 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 28*h - 92. Let f(s) = s - 1. Let v(p) = -4*f(p) + n(p). What is the first derivative of v(x) wrt x?\nAnswer: -2*x - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(108\/24 - 5). Which is the nearest to 1\/2? (a) j (b) 0.5 (c) 6\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484 divided by -4?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 7*j - 5. Let u be l(6). Let n = u + 19. Let c be (n\/(-6))\/(2\/6). Sort c, 1, -5 in descending order.\nAnswer: 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1935 - 3133335.95939\nAnswer: -3133336.15289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.62 in -2\/35321, -2\/5, 1.07?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**17*s*s)\/(s\/s**(2\/5))*(s\/((s\/s**(3\/19))\/s))\/(s*s*s*(s\/(s\/s**(-15)))\/s))**(-46) assuming s is positive.\nAnswer: s**(-142278\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 - (16 - 9 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 2703\/11, 0.5, 15, 3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*g = 23, -30*d - 8 = -31*d + 2*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*z**3\/5 - 994*z**2\/5 + 2128*z\/5 - 424\/5.\nAnswer: 2*(z - 53)*(z - 2)*(9*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + (-74)\/(-6))\/1. Let p = -15 + z. Which is the second smallest value? (a) p (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 4. Let n be y(4). Let g(u) = 0*u - u + 2*u - u**2 + 2. Is g(n) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -26*t - 47. What is the nearest to 0.3 in -7\/5, 2\/15, t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 822\/612*((-9)\/3 - 61). Let g = l + 86. Let i(m) = m. Let b be i(0). Which is bigger: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c - 6. Let m(f) = f + 2. Let l(h) = -3*m(h) - v(h). What is l(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10243 (base 5) to base 6\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*g + 17810, -3*m - 4*g + 16994 = 6308. Calculate the greatest common divisor of 182 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.0914 to one decimal place.\nAnswer: 35.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 746*t + 192. Let p(g) = 746*g + 194. Let b(l) = 4*c(l) - 5*p(l). Let f be b(-5). What is f rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68)*-2 - sqrt(68)) + ((sqrt(833) + sqrt(833)*2)*3)**2.\nAnswer: -6*sqrt(17) + 67473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*o - 7*o - 14, -o = -2. Let a = 1 - -1. Let j(i) = -6 - a*i - i + 4*i. Determine j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/80)\/(1\/(-12)))\/(-17*(-30)\/850)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80 + 14?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003469757104 to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Suppose -2*o + 8 = -a*t, o - 3*t = -t + 6. Let n(z) = -8*z**2 - 6*z + 1. Let f(v) = 7*v**2 + 5*v - 1. Let u(h) = -5*f(h) - 4*n(h). What is u(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3655759 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 + 10*f**2 - 4*f + 9. Let i(v) = 2*v**3 + 9*v**2 - 3*v + 8. Determine 6*c(y) - 7*i(y).\nAnswer: 4*y**3 - 3*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1402289 + -12?\nAnswer: -140229b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) - (sqrt(1100) - (sqrt(1100) - (sqrt(1100) + sqrt(1100) + sqrt(1100) + sqrt(1100)*5 + 5))**2))) + -4.\nAnswer: -53929 - 690*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 1)*(11 - 11 + 2*t) + (0 + 2*t + 0)*(3 - 2 + 1) - 3*t + 2*t + 2*t + 0*t + t + t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(28\/(-6)))\/(6\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.821mg in kilograms?\nAnswer: 0.000557821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 545579*l*r**3 + 336129*r**3 wrt l.\nAnswer: 545579*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(208) + -1)*-3)**2 + sqrt(208) + -5*(3*sqrt(208) - sqrt(208))**2 + 2 + ((-3*1*sqrt(208) + sqrt(208))*6)**2.\nAnswer: -68*sqrt(13) + 27676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 6) + -3 + (-12 - (-1 - -2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8958*u**4 + 109*u + 96.\nAnswer: -107496*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:18 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 596 (b) -22\/13 (c) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -42.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89*u**4 - 141 wrt u.\nAnswer: 356*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggjd when four letters picked without replacement from ddjdjdddgdddddgdj.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/7 - 54648*o**3\/7 + 1474709*o**2\/7 + 452574*o = 0. What is o?\nAnswer: -2, 0, 29, 54621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 39 - 0. Solve -2*u - 5*b + 0 = 18, -5*b - 23 = -y*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/12 - 21*c. Let k(w) be the third derivative of -w**5\/6 - 3*w**2. Determine s(k(x)).\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(-20)\/50 - -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 120.259.\nAnswer: 240.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 432629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**6\/135 - 8*a**5\/15 - 34*a**4\/9 - 208*a**3\/27 + 1670*a. Solve y(x) = 0.\nAnswer: -2, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6799622 + 68059311\/10. Let l = k + -6301. Find the common denominator of l and 2\/4*(-366)\/(-24).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.605*334051.\nAnswer: -536151.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 37, 4, 1.14, -6\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59708, 25, 5.\nAnswer: -59708, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2262940 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 9. Let a be j(-12). Let l(y) = -3*y**3 + y**2 + 2*y**3 + a*y - 4*y + 3*y**3. Let m(i) = -6*i**3 - 3*i**2 + 3*i. Calculate 7*l(k) + 2*m(k).\nAnswer: 2*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 631*y*z**2 - y*z - 8*y + 2*z**2 - z - 88 wrt z?\nAnswer: 1262*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -5, -8, -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7331356.366 to the nearest one hundred.\nAnswer: -7331400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**9\/3024 + q**8\/840 - q**6\/180 - q**5\/120 - 2*q**3\/3 + 1. Let l(d) be the third derivative of r(d). Factor l(c).\nAnswer: c*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 8*r. Let n be a(-8). Suppose 3*t - 16 = -f - 7, n = 2*t + f - 6. Let z(v) = -2*v - 1 + 2*v**3 + 0*v**t - 3*v**3 - 3*v**2. Give z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Let g(u) = u**3 + u**2 - u + 3. Let x be g(y). What is the second derivative of l - 3*l - 5*l**x + 4*l**3 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -105448\nAnswer: -1\/26362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44)*1)\/sqrt(4) - (sqrt(44)\/sqrt(4) + 4))*2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -173, -257, -341, -425?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxxrtrxxrrrrrrxrx. Give prob of picking 1 t and 3 r.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 + 2*x**2 - 5*x**2 + 8 + 3*x**2 as t*x**2 + l*x + o and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 11. Let a be c(-6). Suppose -5*d - 2*h = -a, h - 3 + 0 = -5*d. Let n(l) = 203*l**2 - l + 1. Is n(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13*(5 - 4)*-37 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450, -932, -1416, -1902, -2390?\nAnswer: -2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 3*y**5\/2 + 11*y**4\/12 + 19*y**3 - 3*y**2 - 830*y + 2. What is the second derivative of o(a) wrt a?\nAnswer: 180*a + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 26. Let g = k + 12.4. Let h = -196\/5 - -39. Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2*y**5\/5 - y**4\/2 - 2*y**3 + y**2 + 4*y + 176. Suppose u(k) = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f**3 - f**2 - 10*f + 13. Give w(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5) + 1*4\/120\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*l = -12, s + 58*l = 55*l - 19. Let p(k) = 12*k - 23. Calculate p(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 13.6, 1\/21 in ascending order.\nAnswer: -2\/11, 1\/21, 13.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {l: 9, r: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h = 157*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = -8*r, 0 = -2*c - 2*r. Suppose 8*i = c*i - 5. Let z(d) be the second derivative of 5*d**3\/6 + d**2\/2 - d. Determine z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*-4*8\/(-60).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -10 (c) -87 (d) -180\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -17906*m - 196954. Calculate v(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -65.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 5*v = 15*b + 29, -38*v - 178 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 3. Let r be g(-3). Suppose r*q - 4*q = -36. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j - 16. Is 26 a factor of y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 3*g - 16*g + 3*g**2 - 39*g + 21*g in the form z*g + p + q*g**2 and give z.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1380 (base 9) to base 6\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211811.\nAnswer: 3, 17, 23761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 44998.7 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/11 - 3324*x\/11 + 1381122\/11 = 0?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 3. Let r(b) = 5*b - 6. Let n(s) = -9*i(s) + 4*r(s). Let y(g) = g - 1. Let x(z) = 2*n(z) + 6*y(z). Let o(f) = 2*f. Determine x(o(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2001680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.12 + -54.12. Let n = 54.35 + l. Let h = 7.45 - n. Round h to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1112\/15 + -439\/5. Is -13 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 166*w**3 + 1662*w**2 - 5706*w + 6480.\nAnswer: 2*(w - 72)*(w - 5)*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 347403 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: Let n = 3505\/2994 - 2\/499. Let o = -9 + 14. Let q = -13.2 + 15.2. Which is the biggest value? (a) o (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6118 (base 11) to base 9.\nAnswer: -12128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2747 + 43933\/16. What is the common denominator of p and -73\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) -2\/3 (c) -12 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbnb when four letters picked without replacement from bnbbnbbbbnnbbbbnnbb?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = g + 41, 2*d - 7*g + 2*g = -2. Suppose -d + 5 = -k. Solve -9 = h - k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(4860) - (sqrt(4860) + sqrt(4860)*-4))\/(sqrt(12) + sqrt(12) + 2*3*sqrt(12)) + -1))**2.\nAnswer: -36*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5112, -4643, -4174, -3705?\nAnswer: -3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79*b*j**2 - b*j + 3*b - j**2 + 105 wrt b?\nAnswer: 79*j**2 - j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5693682 is divided by 7099.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 46.844. Let m = 0.014 + x. Let k = -0.16999954 + m. Round k to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Suppose u - 4*l + 11 = 0, -w*u - 2*l = -16 - 12. Suppose y + 4*g = -g - 3, y - 1 = -g. Solve -u*k + 3*k = y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/2, -2, -1\/5, 7, -119098 in descending order.\nAnswer: 7, 4, 1\/2, -1\/5, -2, -119098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.046 and 0.06?\nAnswer: -0.00276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 9:36 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by -17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*i - 3*h, -3*i + h + 13 = 2*i. Suppose -g + 3 = i*g. Suppose -p = -2*p + 2*b + g, -4*b = p - 7. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 12*s**2 + 10*s - 14. Let a(g) = -g**2 - g + 1. Let l = -22773 + 22772. Calculate l*n(x) - 12*a(x).\nAnswer: -2*x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, and 1 f when three letters picked without replacement from inhfi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8587\/8 + -1073. Solve 9\/8*g**3 - 3\/8*g**4 - r*g**2 - 9\/8*g + 3\/4 = 0 for g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27530976 divided by 118668.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + 5*sqrt(190)\/(-2*sqrt(810) + sqrt(810)) + 0.\nAnswer: -5*sqrt(19)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/12)*n*n**(-1)*n)\/(n*n**(2\/5))**39 assuming n is positive.\nAnswer: n**(-3211\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 8*w - 42 + 2*w**3 - 10*w - w**3 + 8 as t*w + x + k*w**3 + s*w**2 and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -142*a**3 - 1214*a**2\/7 + 554*a\/7 + 774\/7.\nAnswer: -2*(a + 1)**2*(497*a - 387)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253581327322\/1032874945 + -6395750\/25189. Let f = 2\/8201 + h. Is f not equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) 2 (c) 128 (d) 3\/7 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 38*j - 1\/42*j**4 - 5\/7*j**2 + 2\/7*j**3 + 0. Let w(q) = 0. What is q?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 145\/6 - 5\/30. Let u(x) = 10*x**2 + 39*x - 1. Let k be u(-7). What is the highest common divisor of j and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -482720 + 482975.213. Let u = 255 - a. What is u rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2873 to one decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*0\/(-44)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*y**2 - 195*y**2 + 391*y**2.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 810\/74 + 8910\/(-810).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*b - 12 = -218*b. Solve -b*n - w - 18 = -0*w, 5*n + w = -28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4798.9 to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 3254, 11011, 26114, 51011, 88150?\nAnswer: 139979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26488, -52854, -79258, -105718, -132252, -158878, -185614?\n\"Answer: -3*l**3 - l**2 - 26342*l - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4314 and -61\/21?\nAnswer: 30198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28002 and -4.\nAnswer: 27998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/12 - 7623*l\/2 + 174330387\/4.\nAnswer: (l - 22869)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 690, 1205, 1916, 2817, 3902?\nAnswer: 5165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69779 plus -123628124?\nAnswer: -123558345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2220*j + 5010*j = 153450 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0*g**2 + 4*g**2 - g**3 + 1 + g**2 + g - 5*g. What is the remainder when 20 is divided by k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*h = -26, 3*h = -l - 5 + 1. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.06 (c) -47 (d) 0.34 (e) -72\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/6 + h**2. Let l(t) = 2*t. What is v(l(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzpz when four letters picked without replacement from {z: 4, p: 2, f: 7}.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57680 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19505988000 rounded to the nearest one million?\nAnswer: 19506000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 10)\/(21 + (-2222)\/110).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 6. Let u = j + 7. Let w = u + 4.1. Which is smaller: -0.2 or w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 54, 0.4, 1\/24 in decreasing order.\nAnswer: 54, 5, 0.4, 1\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n - 4*f + 241, -3*n + 155 = 5*f. What is the remainder when 267 is divided by n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3458987 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*n - 2 + 107*n - 17 + 32*n to the form g*n + h and give g.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -28101, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 + f - 51*f**2 + 47*f**2 + 3*f.\nAnswer: 15*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6742.\nAnswer: 2, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 10, -5, 2\/27, 2 in increasing order.\nAnswer: -5, -3, 2\/27, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 33525.54 years?\nAnswer: 335.2554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 90*z**2 - 96*z + 647. Let j be h(89). What is the highest common factor of j and 776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 minus -0.4585?\nAnswer: 0.6085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - m - 24, 3*m = 5*q + 6*m + 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u. Let f be p(-1). Let s be 1*f\/(-27)*2. What is the third smallest value in s, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7007 divided by -77.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/407 and -36\/481.\nAnswer: 5291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9586664 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.358, -4, 3, 4, 1041\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 12*s + 1. Let h be k(12). Let g = -0.3 - 0.1. What is the closest to h in g, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -67, -134, -217, -310, -407?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 338 + -229. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369366 is divided by 936.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 464 + -479. Let x be (3 - (-27)\/v)\/(21\/70). Solve -12*g = -x*g - 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0.3, -0.106987 in decreasing order.\nAnswer: 29, 0.3, -0.106987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - 0.3. Let p = -7 - -41\/6. Let i = p + 2\/3. Sort -8, i, j in ascending order.\nAnswer: -8, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 6*d + 17. Let i(s) = s**3 + 9*s**2 - 11*s + 9. What is the remainder when d is divided by i(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137512256 and 1120?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.18 + -0.82. Let n = 33 + -28. Which is the second smallest value? (a) 3 (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33906, 1, 2 in decreasing order.\nAnswer: 2, 1, -33906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 6. Let v be j(0). Let d = 10 + v. Suppose -5*g + 40 = -3*z + 8*z, d*g - 5*z = 32. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Suppose 2 = b - w. What is the highest common divisor of 28 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -279*c + 6650. Determine x(24).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 - 6*u + 3. Let d be n(-6). Let o = 4 - d. Let s(a) = 16*a**3 + a - 1. Does 8 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:33 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*t + 66 = -242*t. Is 7\/4 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0839*-1067.\nAnswer: 89.5213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 (base 12) in base 3?\nAnswer: 20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s = -78 - 52 + 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.12 + -0.12. Let z = 6 - v. Let g = z - 4.0000047. What is g rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127600 is divided by 8506.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -6. Let n be (-4)\/x - (-2)\/(-8). Suppose n = -y + 4. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5841)\/(-1593))\/(44*11\/528).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-18))\/((-3)\/(-9))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-50)\/(-10) - 4)\/7. Let o = 0.5 - 0.7. Let r = 6.2 + o. Which is the nearest to r? (a) 3 (b) t (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 17 + 3*i + 65 - 25.\nAnswer: -2*i + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 507952127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/1 + -1 - 0. Let b = -2 + f. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7734 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15942959377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*b - 16, 0 = -q - 0*q + 5*b - 18. Suppose 5*r - t = 10 + 3, -5*t - 15 = 0. What is the least common multiple of q and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.48063 times -1240\nAnswer: 595.9812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**2 + 9*c - 14. Let b = -8 + 4. Let i be b\/20 - (-5)\/((-75)\/(-63)). Is h(i) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*j - 7, -3*j + 21 = 5*u. Solve p - u*p + 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 18}. Give prob of sequence xppp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 276711 (base 16) in base 6?\nAnswer: 131203013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 31*l - 88 = 0. Let a be l\/55*(7 - 2). Suppose -3*w = a*x - 3*x - 742, 498 = 2*w + 4*x. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -448 (base 10) to base 6.\nAnswer: -2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/65)\/(-8)*54\/(-45)*-5?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 572207 or -1\/5?\nAnswer: 572207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -17 - -22 - -11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b + -8?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 4*w**2 - 1. Let u = -663 + 682. Suppose s + u = 17. What is r(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7425\/189)\/55)\/((8\/(-56))\/((-2)\/(-8)))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - (-4)\/3. Let r(i) be the first derivative of i**2\/2 + 3. What is the units digit of r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(8)\/sqrt(4) + -2 - sqrt(2)) + 2*(sqrt(18) + sqrt(2)))**2 - 1*(sqrt(242)*-5)**2)*-2 + 2.\nAnswer: -59178 - 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2279, -2278, -2277, -2276, -2275?\nAnswer: -2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k + 61*k + 82*k.\nAnswer: 125*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 61*s + 49. Let x be m(15). Let z = -429 + x. List the prime factors of z.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/(-7*45\/441*(-70)\/25)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(8\/13)*(h\/h**(-1))**18 assuming h is positive.\nAnswer: h**(1412\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*c = -8, c = -4*h - 2*c + 11. Suppose -2*w - h*w + 12 = 0. Let k be 0 + 0*w\/(-9). Solve k = -4*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1\/7 (c) 9.8 (d) 4\/975\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) -1\/2 (c) -215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 13*p + 4. Let w(h) = h**2 + 7*h - 2. Let j(q) = 2*c(q) + 5*w(q). Let x be j(4). Is (4913\/(-3))\/(-1) - x\/75 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(190)*2)\/sqrt(10)*-4.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6490.117 millilitres?\nAnswer: 6.490117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4*d + 29, -2*n - 2*n + 4*d = -32 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -164*n - 12. Let p(m) = -163*m - 10. Give -5*j(k) + 6*p(k).\nAnswer: -158*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.5. Let f = x + -0.3. Let n = 0.789 + -0.089. What is the second smallest value in 1\/4, n, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8527 - 1333?\nAnswer: 7184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.907 - 0.093. What is the closest to 2\/7 in 1, u, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:50 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1515*f + 357897 = 335172 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 + w**2 + 2*w + 1. Let h be q(-1). Let y = 48 + -47.31. Let m = y - -0.31. Which is the closest to 2\/79? (a) h (b) 2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -8\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1c9a (base 13) to base 10\nAnswer: -4352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**3 - w**3 - 129684*w - 129689*w + 259368*w.\nAnswer: 12*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 6*w - 82 - 186, 7*y + 6*y - 197*w + 194*w - 103 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g)**(-2\/11) assuming g is positive.\nAnswer: g**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*x - 135, -3 = -5*a - 13. Suppose 0 = -b - 4*b + x. Solve -2*m + b = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -15. Which is the smallest value? (a) -0.2 (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivv when three letters picked without replacement from iniinvnwwiwvwt.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2441 - -2?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509300, -509341, -509382?\nAnswer: -509423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*y**5 + 310720*y**4 + 7333763*y**2.\nAnswer: -540*y**2 + 7457280*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*d - 20 = 0, 5*v + 8*d = 6*d + 154. Suppose -2*p + 2*i = -3*i - 280, 2*p = 3*i + 276. What is the greatest common divisor of v and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/31 - -97\/124. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egw when three letters picked without replacement from ebrrwzzezrgreezrz.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i + 1 - 2 + i - 7. Let t be x(7). Let k = 152 - t. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/7*-7 + -892)*24\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 444322 - 602*x - 444322 + ((2 + 2 - 5)*(-2 + 3 + 1) - 5 + 4 - 1)*(2 - 2 - x)*(3 + 2 - 4).\nAnswer: -598*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1065 divided by -6\nAnswer: 355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/11 (c) 4\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22021310 to the nearest integer?\nAnswer: 4693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 232579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 7*u**2 - 2*u - 9. Let n be i(-7). Suppose -5*c = 2*z + 996, -n*c + 0*z - 981 = -3*z. What is c rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - ((-2 - 4) + 7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(6\/(-58)) + 1 + -3. Suppose -h = -v - 94. What is the greatest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4420 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r + r)*((3*r - 5*r + 4*r)*(-r**2 + 5*r**2 - r**2) + (-r + 3*r - 5*r)*(-5*r**2 + 2*r**2 + 4*r**2)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 divided by 20870?\nAnswer: 137\/20870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.03 + 21. Let r = 0.03 - z. Which is the nearest to 2? (a) 4 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234 + 9004503\nAnswer: 9004737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1352729 and 120 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4*f - 2, 8*f - 4*f + 4*p + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.1 - -19.1. Let v = -4 - -1. What is the nearest to 2\/3 in h, -2\/9, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.263 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(891) + -1 + -1*sqrt(11)))**2.\nAnswer: -1872*sqrt(11) + 267732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3957 + 3990. Solve 7 + j = -8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 23*c**7\/5040 + 107*c**5\/60 - 2*c**2 + 4. Let k(s) be the third derivative of a(s). Let f(u) = 6*u**2. What is f(k(j))?\nAnswer: 3174*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:00 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 680*u + 2741. Let m be a(-4). Let k(n) be the first derivative of 7 - m*n + 0*n**3 + 0*n**2 + 15\/4*n**4. What is the derivative of k(o) wrt o?\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -984010191\/189260 - -34\/47315. Is v at least -5200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r. Let p = 7903 - 7900. Let c(j) be the second derivative of -10*j - 1\/2*j**2 + 0*j**p + 1\/3*j**4 + 0. Give b(c(s)).\nAnswer: -8*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14178074?\nAnswer: 2, 23, 308219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wlawllalwaww?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4)*4\/(-2). Let v be (17 - 19)*(-1)\/5. Let w be (-8)\/12 + (-8)\/(-8). Which is the nearest to 1? (a) q (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 2 + -1 - (sqrt(48)\/sqrt(4))\/sqrt(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 25 = b, -13 = t - 2*b - 17 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + j - 320 = -2*j, 3*j = 4*n - 622. Which is greater: n or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3572608 is divided by 2457.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 3*s**2 + 3*s + 2. Let t be x(-3). Suppose -q - 2*g - t = -4*q, 3*g = -2*q - 4. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 47094200 = 181*m. What is m rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (186*o + 1154 - 1154)*(-4*o + 3*o - 2*o)*(-5*o + 0*o + 4*o) in the form m + z*o**3 + y*o**2 + v*o and give z.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 29*b**2 + 169*b + 76. Calculate p(21).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.076 and 221831992250.\nAnswer: 221831992249.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -40.00832.\nAnswer: -24.004992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2917151.\nAnswer: 1\/2917151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8148 and 225018?\nAnswer: 305574444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1338 and 4?\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 4, r: 1, b: 3}. Give prob of picking 3 q.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81577, -81573, -81569?\nAnswer: -81565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 36. Let q be r(13). Calculate the highest common factor of q and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -5, -3, -9, -1115, -20 in decreasing order.\nAnswer: 27, -3, -5, -9, -20, -1115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -438435.\nAnswer: -44\/438435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 155 = -2*v. Let c = v + -17. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190129297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-208)\/39 + (-15)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16451 - 6819 = -537*l + 709*l for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-676)*(-13)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504\/(-240)*(-3)\/((-168)\/64)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280*-10.63127.\nAnswer: -2976.7556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 196\/9?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/209 (b) 0.1 (c) 2.8 (d) 6\/7 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 519*r - 30360. Determine y(53).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/100)\/(5\/824875). Round r to the nearest 1000.\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*w = -568373, 4*w = -22*p + 21*p + 142109. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**6)\/g**(4\/9)*(g*g*g**(7\/2)*g*g*g*g*g)\/(((g*g**(2\/11))\/g)\/g))**(-27) assuming g is positive.\nAnswer: g**(-3489\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8926557247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 62 - 1886 = 9*g + 32*g for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Suppose 3*d - 87 = -0*d. Let v(o) = -29*o - 8*o**2 + d*o. Give m(v(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o = o - 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*v = 3*t - 22, -3*t = -2*v + 14. Let w = -18 + 22. Let x = w + 7. What is the smallest value in t, 5, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + -0.0907?\nAnswer: -0.1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f. Let p(q) = -46*q - 343. Let z(v) = -3*b(v) + p(v). Find the first derivative of z(h) wrt h.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 9:18 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 210 = -16*r. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - b + b + (7*b - 2*b - 4*b)*(-2 + 0 + 0) - 2*b + 6*b - 3*b - b + 2*b + b + 3*b - 1 + 1)*(-17*b - 18*b - 5*b) to t + o*b**2 + g*b and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlnlddvcvvnldlvll. What is prob of sequence clvd?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3cdb5 (base 14) to base 5\nAnswer: -14312013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43.1 in 2, 5, -0.3, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -123905, -124123, -124341?\n\"Answer: -218*i - 123687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 344069113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-14)*71\/71.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/15, 15.9, 0, 0.044?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18180000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -6 - (-16 + 1)) + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 + w + 3. Let y be 4\/26 - (-222)\/78. Let o(j) = 3*j**3 + j**2 + j + 3. Let q(u) = y*o(u) - 2*x(u). Determine q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and (0 - -1)*(19 - 9).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 125. List the prime factors of g.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 a when four letters picked without replacement from vvvvaaa?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -6\/7, -10, -4\/27 in decreasing order.\nAnswer: -4\/27, -6\/7, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -380.07 + 380. Let a = -0.06 + 4.06. Is j greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a - q = -19*a + q - 0*q, 0*q = 4*a + q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 9*b**2 - 11*b - 10. Calculate q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.693134 - -22.7. What is t rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c + 18. Suppose 2*m + m = c. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 8*n**3 + 0 + 13\/3*n**4 + 6\/5*n**5 + 8*n**2 + 8*n + 2\/15*n**6. Factor i(w).\nAnswer: 4*(w + 1)**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11 + 1177*b - 588*b + b**2 - 582*b - 5. Calculate t(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkk. Give prob of picking 2 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 2038378905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53936, -107875, -161814?\n\"Answer: -53939*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**5\/10 - 25*s**3\/3 + 16. Let l(j) be the third derivative of c(j). Let r(k) = -5*k. What is l(r(z))?\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*r = -0*r - 8638, -1730 = -j + r. Suppose 3*i - j = i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a - -1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 20 = -4*m - 4*v, 5*v = -5*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -5*a**8\/84 - a**5\/20 + a**3\/3 + 18*a**2. Find the third derivative of o(l) wrt l.\nAnswer: -1200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 - 3*x + 3*x)*(-2*x - x + 5*x + (1 + 3 - 5)*(-10*x - 16*x + 23*x) + 1 - 2*x - 1) to r*x**3 + p*x + l + v*x**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + d - 1. Let x(l) = 4*l**3 + l**2 - 5*l + 2. Let j(r) = x(r) + 3*z(r). List the prime factors of j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 594*r**2 + 7 - 1 + 1 - 650*r**2 to c*r**2 + q*r + z and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23324 + 8094 = 23*k. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40.149555 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 9*i - i)*(-3*i**3 - i**3 + i**3) + 2*i**4 - 2*i**4 - i**4 - i**4 + i**4 + i**4 - i**4 + 4*i**2 - 4*i**2 + (1 + 4 - 4)*(-3*i**2 + 2*i**4 + 3*i**2).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 35058?\nAnswer: -2\/17529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 3*x**2 - x - 1. Let n be a(-3). Let h = -1 - -16. Let u be 28\/20 + (-6)\/h. Does n = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 46*a - 218. Calculate m(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 - -2)*3\/(-6). Suppose 5*q = -0*q - 2*z + 19, 4*z - x = q. Calculate the remainder when 7 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 21 = 0, -15*q - 2*n - 2 = -19*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.69 - -1.8. Let v = -4.89 - u. Let p be (12\/45)\/(2\/3). What is the second smallest value in -2\/7, p, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -582185.4 to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 0 - 8*q + 1\/60*q**6 + 0*q**2 + 1\/30*q**5 + 0*q**3 + 0*q**4 - 1\/252*q**7. Find t such that p(t) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3237.663 and -1.0919?\nAnswer: 3238.7549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -34. Suppose 6*c = c + q + 22, -c - u*q = 4. Let w = 1 + c. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5851760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2889 = 2*m + 7*m. Let j = 337 + m. What is the remainder when 111 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768945?\nAnswer: 3, 5, 51263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27275.78kg in grams?\nAnswer: 27275780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 1:06 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llblllllbllllb. What is prob of sequence lbb?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**(-3)\/((c\/c**(3\/2))\/c)**(2\/7) assuming c is positive.\nAnswer: c**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 365813*a**3 - 272074 wrt a?\nAnswer: 1097439*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from xiioiioootmxioioio.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 3*q**4\/4 - q**3\/3 + q**2 + q + 5. Let x(b) = -b**3 - b**2 + b + 1. Let s(d) = 4*x(d) + z(d). Let t = 6 - 12. What is s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 1. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.560721mm?\nAnswer: 0.5560721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.35016*3\nAnswer: 1.05048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18674 - -31517. Suppose 15135 = 6*m - i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14 + 11*t + t - 20. Let q be x(1). Let j(d) = d**3 - 7*d**2 + 7*d - 8. What is j(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + o + 1780 - 1780.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 7*k - 4*k)*(-258046 - 426*k + 258047 - 262*k).\nAnswer: 4128*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2578 and 217?\nAnswer: 559426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*h = -3*i - 575*h - 33, -27 = -3*i - h for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*(sqrt(10)\/sqrt(2) + sqrt(5)) + sqrt(5))*5)**2 + (sqrt(20) + 3 - (1 + sqrt(180)))**2.\nAnswer: -16*sqrt(5) + 21209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*j + 2185 = -0*j, -h - 3*j + 2187 = 0. Suppose 5513 = 5*w + 2*z, -6*w + 8*w - h = 3*z. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 2 i when four letters picked without replacement from {z: 2, t: 1, p: 8, o: 3, i: 2, h: 4}?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 6*r**2 + 9*r - 6. Let u = 42 + -35. Let t be s(u). Solve -i = -3*i - t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bda (base 16) to base 7\nAnswer: -11563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104.5 + -131. Let n = -27 - m. What is the biggest value in 2\/39, n, -5?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 9*z**2 - 7*z. Let o be j(8). Let g = o + -9. Let f be (2 + 2\/g)\/3. Is f smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2407 is divided by 640.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*f + 39*f - 209 = -3*d, 6*d - 2*d - 42 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59930.9 plus 3?\nAnswer: -59927.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -15. Let a be (i\/(-4) - -89) + 1. What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 0 + -6 + 3. Let k be ((-4)\/5)\/(p\/(-11000)). Let t be (k\/(-33))\/(2\/(-267)). Round t to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*g - 2, -2*r + 0*r - 2*g = -2. Suppose -r*h + 0*h = 0. Let q(p) = p + 2. What is q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - -4) + (1 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 1, p: 6}. What is prob of sequence agg?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -11, 4, 29, 64?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-423440)\/145360)\/(3\/69)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.2 (c) 0 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.031, -3\/4, 1175, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d + 1 + (-13*d - 156 + 156)*(4 - 4 - 2))*(-46*d**3 - 11*d**4 + 46*d**3).\nAnswer: -275*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11090544331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u + 45 = 0. Let l = u - -13. Suppose 0 = 4*v - 4*a, 3*a - l = 2*a. Solve 4*c + 11 = -x, 2*c = v*x + c - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f - 6. Let u(b) = 77 - b - 77. Let h(w) = -2*u(w) - x(w). What is the units digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13994 and 2026 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/6004196 and -59\/491392.\nAnswer: 192134272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*a - 3*a + 21*a)*((2 - 2 - a)*(3*a**3 + 0*a**3 - 5*a**3) - a**4 + 4*a**3 - 4*a**3 + 2*a**4 + 0*a**4 - a**4)*(-1 + 4 - 2).\nAnswer: 150*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -12. Suppose 2*q + t = 9, -q + 0 = 5*t - 18. What is the closest to q in -2\/7, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 621336 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -0.02. Let i = 5 - y. Let n = 4\/3 - 35\/24. What is the second smallest value in i, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpyph. Give prob of picking 1 h and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*w - 4*r - 14, 0 = -3*w - r + 4. Solve -4*k - 4*f + 9 = 33, 18 = w*k - 4*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(110) + -3*sqrt(110))*-1)\/(2*sqrt(10)*-4 + sqrt(10) - (sqrt(90)*-2 - sqrt(90))).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.112*256649\nAnswer: 28744.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40799968)\/4)\/2 - 4. What is g rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**2 + 19*v**2 + 18*v**2 + (0*v + 0*v + 2*v)*(-4*v + 5*v + v) - 2 + v**2 + 2.\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -29*s**3 - 3\/5*s**5 - 33 - 117\/2*s**2 - 54*s - 27\/4*s**4. Solve l(h) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**2 - 116. Let v(d) = -69*d + 1. Determine v(x(y)).\nAnswer: 138*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0661878255 to 4 decimal places.\nAnswer: 0.0662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*2)\/((-68)\/(-11900)*70).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by 2.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 19*z = 18*z + 110. Let w = 9 - 4. Let t = 5.2 - w. Which is the nearest to -2? (a) -0.1 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6570 divided by -45.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.54 + 0.25. Let v = p - -1.123. What is v rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 2*y, 0 = 5*h - y + 2*y - 5. Suppose -h + 7 = 2*q. What is the greatest common divisor of 18 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -14 + -3 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -238, 1\/4, -0.2, 5\/12, 7 in descending order.\nAnswer: 7, 5\/12, 1\/4, -0.2, -1, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 8. Let y be -2*(-4)\/(-8)*0. Let c(l) = 2*l. Let n be c(y). Suppose g + 30 = -4*g - 4*i, 4*g + 4*i + 24 = n. What is d(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9002 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 9*x + 120. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - 78\/(-30). What is the third derivative of 5*h**2 + 315*h - 25*h**g - h**2 - 315*h wrt h?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 2, y: 1}. Give prob of picking 2 c and 1 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -69497, -69527, -69557, -69587, -69617?\n\"Answer: -30*l - 69467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445275 is divided by 51616?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/5*10\/2. Suppose -2004 = n - a, -4*a + 0*a + r = 0. Let c be (n\/3)\/((-4)\/264). What is c rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105018.\nAnswer: 2, 3, 23, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayzn when four letters picked without replacement from {y: 1, a: 1, t: 1, z: 2, b: 2, n: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 1094195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31.65 - -31. Let n = 0.4 + a. Let i = 0.249984 + n. What is i rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 61*s**2 - 6*s + 3. Let o be p(-3). Let f = o - 187. What are the prime factors of f?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1793, 1787, 1781, 1775, 1769?\nAnswer: 1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 259661922 to the power of 1\/3, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -11, 24, 81, 166, 285?\n\"Answer: m**3 + 2*m**2 + 6*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*s - 2264 + 980 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 463331?\nAnswer: 463331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.048 and 11.666.\nAnswer: -12.225968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 50106983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7645804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 8*q**7\/7 - 18*q**6 - 944*q**3\/3 + 1580. Find the third derivative of x(g) wrt g.\nAnswer: 960*g**3 - 6480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-1) - 4 - 396) + -3. Let o be ((-20598)\/(-68))\/(9\/(-12)). Let y = o - h. Sort y, -1\/4, -3\/4.\nAnswer: -3\/4, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269.31 + 269. Put 2, 0, a in decreasing order.\nAnswer: 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/(-8) - -9 - 0. What is the smallest common multiple of 5*w\/(-60)*-12 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 - 6*m + 2. What are the prime factors of d(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 49 - 1712. Suppose -m = -3*f + 2*t, 0 = 2*f - 2*t - 1556 + 446. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/17)\/d)\/d**(-7) assuming d is positive.\nAnswer: d**(121\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11000000000?\nAnswer: -11000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-12 - -7) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 328131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3976 + 691?\nAnswer: -3295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3302 + 3299.226. Let d = -2.8 - a. Round d to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2715, -3678, -4641, -5604, -6567, -7530?\n\"Answer: -963*u - 1752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p. Let l(x) = -28 + 16*x - 35*x**2 + 14*x - 2*x. Let s(c) = -4*c**2 + 3*c - 3. Let i(f) = 3*l(f) - 28*s(f). What is v(i(m))?\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -3 + -2 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duolonz. Give prob of picking 1 l and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-2*-6 + 1 + (-2*sqrt(187)*1 + sqrt(187))\/((-2*sqrt(22))\/sqrt(2)))**2 + -1.\nAnswer: 265*sqrt(17) + 1193825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029088489 rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/13)\/(j*j\/((j\/(j*j\/j**15))\/j)*j*j)*j**6*j*j\/(j*j**(-14\/5))*j assuming j is positive.\nAnswer: j**(1297\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)\/(sqrt(5)*-2) - -3*sqrt(306))\/(-1*sqrt(800)))**2.\nAnswer: 4913\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6315 a factor of 1510143840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13984, -13985, -13986, -13987?\n\"Answer: -x - 13983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31*a - 411 wrt a?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 3, z: 3, m: 9}. What is prob of picking 1 e and 1 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1213*b**3 - 1 - 2396*b**3 + 1182*b**3 + 1.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -16 + 2 + -2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40425415 by 5.\nAnswer: -8085083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-303)\/(-2)*(-128)\/(-48) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-3 + sqrt(425) - sqrt(425)) - (2 + 5*sqrt(425)))*-3)**2.\nAnswer: 900*sqrt(17) + 95661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-4)\/48*3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * 38.25766.\nAnswer: -49.734958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 9. Let p be c(-8). Solve 5*f = p*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3*s - 4*s - s + s + 2*s + (-4 - 2 + 4)*(2*s - 4*s + 0*s))*(-1 + 1 - 3 + (1 + 0 + 0)*(1 + 1 - 3) + 3 - 2 + 1).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*k**4 + 2*i**2*k - 213*i*k**4 - 4*i*k - k wrt k?\nAnswer: -12*i**2*k**2 - 2556*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -52*c + 51*c - 4*z, z - 5 = 0. Suppose -5*y = -13*x + 14*x + 9, 2*x + y - c = 0. What is the greatest common factor of 33 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43382.82l to millilitres.\nAnswer: 43382820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203 - 134214243?\nAnswer: -134220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63003 - 63004. Suppose 8 = 5*i + 33. Let g(z) = z**2 + z - 1. Let j(s) = -8*s**2 - 4*s + 3. Give a*j(n) + i*g(n).\nAnswer: 3*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -461, 2\/15, 10, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 59*u**3 + 140*u**2 - 68*u.\nAnswer: u*(u - 17)*(u - 2)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024442611 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -611, -1379, -2455, -3839?\nAnswer: -5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1594 + 1594 + 26770*h**2.\nAnswer: 26770*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -119, -183, -211, -185, -87, 101, 397, 819?\n\"Answer: 3*p**3 - 85*p - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/16, 46\/37, -3, -2\/19?\nAnswer: 46\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 34, -5\/6 in descending order.\nAnswer: 34, -5\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 389012160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 17*b. Let u = -27 - -28. Let i(y) = -7*y + 8. Let z be i(u). Give p(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m = 6. Let r(l) = -l**3 - 13*l**2 - 10*l + 25. Calculate the smallest common multiple of r(-12) and -3*(5\/3 + m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Let x be v*-2 + -1 + 5. Let r = x + 7. Solve 13 = -4*z - o, o - r = 4*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllhlhlllll. What is prob of picking 3 l?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1947 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -77\/3*d**3 - 32*d**2 - 31 + 0*d. What is the second derivative of m(v) wrt v?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 29. Suppose y*j - 94 = -14. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 5*o**4\/12 - 7*o**2. Give j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -678 - 4*v + 1351 - 671 + 2*v**2.\nAnswer: 2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u - 10. Let b(j) = 6*j**3 - 29*j**2 - 7*j - 2565. Let c(k) = b(k) + 4*p(k). Find the first derivative of c(q) wrt q.\nAnswer: 6*q**2 - 58*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 20*y**2 - 3*y**2 + 20*y**2 + 16*y**2 + 0*y**2. Let q(i) = -8*i**2. Give q(z(r)).\nAnswer: -22472*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 19*n - 43. Let d be h(-2). Let g(t) be the first derivative of -t**4\/4 - t**3 + 2*t - 15. Let s be g(-2). Put -3, s, d, -5 in ascending order.\nAnswer: -5, -3, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 199 + 23. Let y be ((-16)\/(-3))\/(2\/12). What is the greatest common divisor of y and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x**2 + x - 22. Determine b(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3*60\/8)\/((-3)\/8). Solve -b*s - 25 = 35 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*y + 24. Suppose -3*g = y*g. Suppose g*j = j + 1310. Round j to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 2. Let l(i) = 5*i - 3*i**f - i - 2 + 8 - i. Let q(w) = w + 1. Let c(p) = -l(p) + 12*q(p). Factor c(m).\nAnswer: 3*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1 - (1 + 0)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 84\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v - 26. Let k be o(-11). Let y = -44 - k. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 9729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -80970, 0.1 in decreasing order.\nAnswer: 2\/7, 0.1, -80970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -5\/2 (c) 698\/9 (d) 2\/5 (e) 0.2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 a factor of 691587114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = d - 21 + 8, -4*d - 5*b - 16 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/76 + 2\/8*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbzzbyzyybzbz. What is prob of sequence zz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n = -4*k + 626, 0 = 3*n - k - 631. Let m = 221 - n. Let b(c) = -c + 5. Calculate b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*j - j + 2*o, 0 = -2*j - 3*o - 9. Let f = -3 - j. Let y be 3 + f + 19\/(-7). Which is the second smallest value? (a) -0.5 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/199 (b) 3 (c) -2\/3 (d) 2 (e) -1\/5 (f) 5.9 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -193*z**2 + 15*z + 12. Let u(b) = -97*b**2 + 8*b + 6. Determine -6*q(a) + 11*u(a).\nAnswer: 91*a**2 - 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/204)\/(82\/287*14\/152).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + 19 + 11 + 24 + -27\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-308)\/21*(-6)\/4. Let b = z - 22. Suppose -a + 460 = -b*a. Calculate the highest common divisor of a and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -o - 3, 3*o - 5*t = 7 - 2. Let l(z) = o*z - z + 15 - 3. Determine l(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -10332?\nAnswer: -10331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7304 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111101100000110000 - 1100?\nAnswer: 1000111101100000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*o = -39, -38 = -2*p - 2*p - 2*o. Suppose 313*f + 3*a - 52 = 308*f, 5*f + 4*a = 61. Solve f*h - p = 11*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 778.44166 to the nearest ten.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = n - 1. Let f(t) = t**3 + 32*t**2 - 34*t - 24. Let o be f(n). Solve -o - 1 = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 10. Let k(v) = -v - 10. Calculate 6*d(r) - 5*k(r).\nAnswer: -r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(18)\/(sqrt(108)\/(sqrt(12)*-3)) - (((sqrt(12) - (-3*sqrt(108))\/sqrt(9)) + sqrt(12))\/sqrt(6) + -1).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 42*d**2 - 39*d + 91. Is t(-14) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -5 (c) -1\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - 5. Is ((-452)\/(-6))\/(1 - g\/(-21)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -436 divided by 436\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 3*q**2 - 4*q**2)*(-3*q - 6*q - 2 + 4).\nAnswer: 18*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30b0e (base 16) to base 4\nAnswer: -300230032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -1 - 1. Solve q = -4*t - 1, 5*t + 3 = -5*q - i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 22.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**2 - 1\/6*f**3 + 0 + 3*f. What is l(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 194?\nAnswer: 3\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -905185528 rounded to the nearest 10000?\nAnswer: -905190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**3 + 2*k**2. Let v(h) = -5*h**3 + 2*h**2 + 1. Let o(f) = -3*a(f) + 2*v(f). Let z be o(1). Solve 2*b + z*s + 20 = -0*s, b + 30 = -5*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.2 - -5.5. Which is the second biggest value? (a) -4.1 (b) 1\/2 (c) 1\/3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3315087 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1727 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37131*y**4 - 30*y**2 + 31*y - 2707295.\nAnswer: 445572*y**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 10. Let d be p(-4). Let v be (-8)\/10 - d\/30. Put 1, v, -4, 4 in descending order.\nAnswer: 4, 1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 161671*z - 237219 wrt z?\nAnswer: 161671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 y when four letters picked without replacement from uuuuuuuuuyuuu?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - -2210?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - (-89 + -42)) + (1 - -1 - 5).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 45. Suppose 10 = 2*m - 0*m, -2*l = 4*m - h. Suppose 0 = 6*w - l*w - 6. Which is smaller: w or 0.02?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 4. Let m(t) = -1024. Determine m(g) - 256*o(g).\nAnswer: 256*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z + 308. Suppose 0 = -4*h - 21 + z. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17939546, -17939540, -17939534, -17939528, -17939522?\n\"Answer: 6*z - 17939552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 85, 4, 2\/21, -2\/5 in descending order.\nAnswer: 85, 4, 2\/21, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = 123*p + 1577 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -2*i + 18. Let t = i + 40. Suppose -n = 0, 0 = -c - n + t - 16. Calculate the greatest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4738 = -v, 2*v - v - 5*b - 4718 = 0. List the prime factors of v.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-5) + -1 - (-21)\/30. Let y(m) be the third derivative of 1\/8*m**4 - c*m**3 - 3*m**2 + 0*m + 0. Differentiate y(s) with respect to s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let a be h(1). Suppose a*v = 7 + 1. Suppose -3*u - 5*n + 48 = 0, 0 = -4*u + 3*n + 27 + 37. What is the smallest common multiple of u and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 4*v - 7. Let j be o(-2). Let b(m) be the second derivative of -m**3\/3 - 9*m**2\/2 - 3*m. Determine b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (330\/9)\/(1\/3). Let i = h + 83. Let l = i - 134. Calculate the remainder when l is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 16*q + 49. Let i be j(-3). What is the smallest value in 0.4, 3, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/10*(-90)\/(-27). Suppose -g = -3*j - 2 + 1, -3*j = -4*g + k. Suppose j = -4*c - 3*i + 3699, -6*c + c = 5*i - 4630. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 6\/(-2 - 1). Suppose 5*a + 155 = -5*c, -c - 3*a = -y*c + 31. Let s = c + 57. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 128410 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 13 = -4*i - 18, 5*i + 8 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 36 = -0*p + 5*z, -2*p = -2*z - 20. Let k(c) = 7*c - c**2 - 3*c**2 + c**3 - 3*c**2 - 1. Calculate the remainder when p is divided by k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 4\/3, 0.1, 858 in descending order.\nAnswer: 858, 4\/3, 3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41226231, 82452451, 123678661, 164904855, 206131027, 247357171, 288583281, 329809351?\nAnswer: 371035375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14069, 28124, 42159, 56174, 70169?\nAnswer: 84144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (3 + -2))\/1. Let m be 6\/((0 - j)*2). Solve m*s = 4 + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 2)*(2*a**2 - a + a)*(1 + 0 + 1) - 10*a**2 + a**2 - 8*a**2 as r + n*a + z*a**2 and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*((-104)\/(-32) - 3). Let f = 0.3 - 0.32. Let p = -9 + 8.7. Which is the smallest value? (a) z (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 20*c = 4*l - 12, l = -2*c + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x + 270 = -11*x. Let n(p) = 1 + 293*p**2 - 292*p**2 + p - x - 4. Give n(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140990 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1821 (base 14) to base 15.\nAnswer: -1446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 3*b - 2*j - 628, -2*b - 4*j = -272. Let v = b - 134. Does 7 divide (13 + -5)\/v*(34 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 87, 684, 2313, 5490, 10731, 18552?\n\"Answer: 86*v**3 - 5*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**2 + 1356*w + 11104 = 0.\nAnswer: -8, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -34)\/(5250\/(-6875)) + 38.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 4*u**2 + 4*u + 7. Let g be r(5). Let i(y) be the first derivative of -2*y**3 - 5 + y**3 - 2*y + 5*y + 3*y**g + 2*y**3. Factor i(z).\nAnswer: 3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4015*b**2 - 8 - 4228*b**2.\nAnswer: -213*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 15*h + 15*h)*(-105 + 105 - 11*h**3).\nAnswer: 33*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1028683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2745.397 litres?\nAnswer: 2745397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = 2*i, -5*x + 2*i + 5 = -6. Solve -20 = -x*p + 7*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o*o*o\/(o**(-3\/8)\/o))*o))**(30\/11) assuming o is positive.\nAnswer: o**(525\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1845*w**2 + 1390*w - 5445842 with respect to w.\nAnswer: 3690*w + 1390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**4\/4 + 8*j**3\/3 + 7*j**2\/2 - j - 7. Let b be r(-7). Let i be 0\/(b\/(1\/2)). Is 2\/57 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6818333 + 2.682. Round u to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-438)\/(-26) - (-2)\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100779877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 6. Let h be ((-15)\/(-2))\/(21\/(-28)). Let l be ((-3)\/(15\/h))\/((-1)\/(-2)). Solve 0 = 2*w - l*w - g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147 - 129*q**2 + 1914*q**3 + 909*q**2 + 624*q**2 + 363*q**4 + 285 + 327*q**2 - 2088*q.\nAnswer: 3*(q + 3)**2*(11*q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - c)*(0 + 2 - 3)*(24*c**3 - 396*c**2 + 396*c**2).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 4152449.\nAnswer: 4152448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1456)\/(-273)*(-6)\/(-144)*-3*(-63)\/(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a factor of 5346401112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9 + 1. Let t(x) = l + 2 + 7*x + 9. Let s(o) = o + 0*o + 2*o + 6. Determine 13*s(y) - 6*t(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**20\/(o\/((o**23\/o)\/o)) assuming o is positive.\nAnswer: o**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49690 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/18)\/((-10)\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g - 153*g - 6 + 39*g + 9 + 54*g.\nAnswer: -38*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-4 + (-4231)\/5)\/(72\/80 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19007 is divided by 1460.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-4)*(-148)\/6*(2 - 4) and 1\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = 2, -3*h - 5*w = -8. Let v(g) = -g**3 - 8*g + 4. Let o(z) = -2*z + 1. Let y(a) = 9*o(a) - 2*v(a). Calculate y(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7 - -76 - (2 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 16\/5*f + 18\/5 - 2\/5*f**2 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m + 103. Calculate r(-17).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 91*t**2 - 3128*t - 7. Let u(y) = 379*y**2 - 12512*y - 29. What is 25*d(r) - 6*u(r)?\nAnswer: r**2 - 3128*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 12:29 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7710 - 77177\/10. Find the common denominator of x and (-1)\/6 - 2\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Suppose 0 = -0*m - u*m + 28. Suppose o - 3 = -m. Which is the biggest value? (a) 1\/2 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 33*m**3\/2 - 19797*m**2\/4 - 225*m = 0?\nAnswer: -1\/22, 0, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(119)\/(sqrt(7) + sqrt(14)\/(2*sqrt(2)) + sqrt(7)).\nAnswer: 1 + 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(137*x**3 - 132*x**3 + 0*x**4 - 6*x**4).\nAnswer: -12*x**4 + 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*f**3*j**3 - 4*f**3*j**2 + f**3*j - 45*f*j**2 wrt j?\nAnswer: -1146*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(567) + (3 + sqrt(567))**2)*5.\nAnswer: 945*sqrt(7) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/2009 and -83\/328.\nAnswer: 16072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*r + 4\/9*r**3 + 0 - 28\/9*r**2 = 0. Calculate r.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/15 and (-4)\/96*37 + 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22300000 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 5*q - 3. Let c be l(-2). Let r be c + -5 + 4\/1. Solve 1 + 2 = -r*p - 3*t, -p - t = 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210003 is divided by 1853.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9793228 + 1.9827. What is f rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-42)\/315)\/(17\/(1377\/30))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*n + 34, -18*n + 26*n - 2 = 2*s + 13*n for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 27, -3, 4, -7, 5 in descending order.\nAnswer: 101, 27, 5, 4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11206, 10713, 10220, 9727, 9234, 8741?\nAnswer: 8248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*-4 - sqrt(156))*3)\/(sqrt(216)\/sqrt(2)))**2*-4.\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35311 = -2022*k - 2632 + 1629 + 2088 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1409 + 1441 = -8*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyyyfyyyyyyyy. Give prob of picking 2 y.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 133986 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: What is the first derivative of -1346878351*d - 699818940 wrt d?\nAnswer: -1346878351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 1. Let w = 7 + r. Factor 0 - 4 - k + 2 + k**w.\nAnswer: (k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**3\/6 + 5*n + 2. Let t(r) be the first derivative of w(r). Let b(d) = -8*d - 1. Determine b(m) - 6*t(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-1 - -2) + 107 + -99. Let k(u) be the first derivative of -1\/3*u**q + u - 2*u**2 + 18. Give k(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 15. Let n be 21 + 1*(-4 + c). Let d be (-2)\/(12\/n + -1). Solve s = -d*v + 4, 4*v + 5*s - 20 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4002 - 11?\nAnswer: 3551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 0*t**2 + 300*t**3 - 298*t**3 + t**4 + 5*t to w*t**4 + i*t + j*t**3 + v*t**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617 + 128*j - 131*j + 1234 - 617.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4)**28*(q**(-14\/9)*q)**(-32) assuming q is positive.\nAnswer: q**(1168\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -206 + 209. Suppose -2*b = -4, 0 = -2*f + q*b - 7*b + 780. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 16. Let b(p) = 2*p**2 + 8. Let l(z) = 5*b(z) + 3*q(z). Let o(m) = -20*m**2. Calculate l(o(s)).\nAnswer: -800*s**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51915.23 microseconds in nanoseconds?\nAnswer: 51915230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 858 = 14*u + 16*u for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1511 + 1510. Which is the closest to 1? (a) -0.5 (b) h (c) 3\/4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23625398 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 20*v - 35. Suppose 0 = b + 4*c + 17, v*b - 1 = 5*c + 39. Solve -2*j - 2*y + 7 = -5, 0 = 2*j + b*y - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2. Let d(t) = 74*t - 18. Let w(p) = 15*p - 4. Let c(m) = 3*d(m) - 14*w(m). Give c(q(a)).\nAnswer: 48*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 360\/1170*(1 + 33\/6). Solve -2*n - 3*l + 6 = 0, 0 = v*n - 0*n + 4*l - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 28. Calculate j(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -19 - (-2 - -1) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1523762 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -1.3. Which is the third biggest value? (a) -1 (b) x (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -887, -3557, -8007, -14237, -22247, -32037?\nAnswer: -43607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*0.2985309\nAnswer: -0.050750253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*2*-2)\/(-5*sqrt(16)\/sqrt(4) - sqrt(4)))\/((sqrt(120)\/sqrt(128) + sqrt(15))\/(sqrt(3) - sqrt(3)*2*1)).\nAnswer: -8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, 1 t, and 1 e when four letters picked without replacement from {u: 2, m: 1, t: 1, e: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31384303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 438931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5300412 divided by -2228?\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 - 152. Calculate the smallest common multiple of 96 and g.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28 - -2)*2\/(-4). Let r = -11 + v. Let 5*z**2 - 2*z**4 - 4*z + 2*z**2 - z**r = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(l - l + l) - l + 0*l + 2*l + (3 - 4 + 3)*(0*l - 8*l - 3*l) in the form x + u*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1834\/9 - -204. Suppose 3*f - f + x + 7 = 0, 32 = -4*f + 4*x. Let b = 8.4 + -8. What is the nearest to s in f, b, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Put -5, x, -0.5 in decreasing order.\nAnswer: x, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (-8 - -36 - -96)) + -41?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/3))**(1\/13)\/((w*w**(2\/5)*w)\/w**(-5\/2)))\/((w*(w\/(w**3*w))\/w)\/w**(2\/15))**(-40) assuming w is positive.\nAnswer: w**(-16917\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-80)*-4)\/((-198)\/176). What is the second biggest value in d, -16, 5, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 5 - -2*2. Let s(j) = -j**3 - 9*j**2 - 2*j - 16. Let k be s(-9). Suppose -n*o + 66 = k*h, 0*o + 5*o = h + 147. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 2*r. Sort r, -1, 5.\nAnswer: -1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101\/18 - 11\/2. Let n = 265 - 788\/3. What is the third biggest value in x, 3\/4, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 3 (b) 5.4 (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(0 + (-9 - -8)). Let c(j) = -497*j**2 + 5*j - g*j + 492*j**2. Let t(l) = 4*l**2 - 2*l. What is 5*c(f) + 6*t(f)?\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 681300 divided by 340650\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3826 times 0.257376?\nAnswer: 984.720576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 3\/70, -2\/25, 6 in decreasing order.\nAnswer: 6, 3\/70, -2\/25, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 8*r**5 - 36 + 0*r**3 + 0*r**4 + 0*r + 3\/2*r**2. Find the second derivative of w(n) wrt n.\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*d - 245. Suppose -21 = -3*l - d. Sort 0, l, 1, -2 in decreasing order.\nAnswer: 1, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -24. Suppose 0 = 5*u - 5 + i. Sort 0.5, u, -5 in ascending order.\nAnswer: -5, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0 + 0*p - 1\/21*p**4 + 0*p**3 - 4*p**2 - 2\/105*p**5 - 1\/420*p**6. Let h(w) = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 18, 8, -6?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(sqrt(1216) - sqrt(1216)*-3) + 5 + 3 + -3)**2*-3.\nAnswer: -525459 - 4032*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 13*q**2 + q + 15. Give n(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10599 less than or equal to -10370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045026 (base 8) in base 16?\nAnswer: 44a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/4*2\/4. Suppose x - v - 14 = l, -x - 3*v - 14 = -2*x. Suppose -2*u + h - 6 = -x, -7 = -5*u - 4*h. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 966 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1)*1 + 49. Let o = -67 - -143. Let b = o - c. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 9858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 2. Let q(h) = 11*h - 5. Let u(a) = 6*q(a) + 15*r(a). Let t(s) = -76*s. Give t(u(p)).\nAnswer: -456*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -25268234?\nAnswer: 25268233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2*w**2 + 8*w - 7. Let q(u) = -u**3 + u**2 + 7*u - 6. Let j(z) = 4*i(z) - 5*q(z). What is the units digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*h + 357*h + 37 = 1277 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -106 - 150. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrssnnnrs. What is prob of sequence nnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-55)\/(-22)*(-4)\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 6*r**2 + 903*r - 48. Let o(l) = -2*l**3 - 5*l**2 + 902*l - 40. Calculate 5*d(b) - 6*o(b).\nAnswer: 2*b**3 - 897*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4 + 4)\/1)\/2. What is the units digit of b\/(-9) + (2 - (-97)\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*i, -7*i - s = -8*i + 12. Factor -2*j + 1\/3*j**i + 5\/3.\nAnswer: (j - 5)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22396099049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2693\/35 - -77. Put g, 0.3, -4 in decreasing order.\nAnswer: 0.3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnavaznr. What is prob of sequence rn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 867 + -9565\/11. What is the common denominator of i and (-3)\/(81\/(-57))*-1?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 - 3*t + 20. Let g(q) = 5*q**2 + 4*q - 20. Let l(z) = z**2 + 6*z - 4. Let n be l(-6). Let c(o) = n*y(o) - 3*g(o). Factor c(u).\nAnswer: 5*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by (-6)\/10 + ((-204)\/5)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (330\/25)\/((-6)\/(-80)). Let w = 70 + -48. What is the lowest common multiple of w and (-2)\/(-9) - y\/(-18)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 151446800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1676803)\/(-259) - (-1)\/(-7).\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3421197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/147 - -229\/1911. Let f = -8 + 11. What is the closest to -0.1 in m, -3, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51464266 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 + 2*d**2 + d + 1. Let v(t) = 7*t**3 + 4*t**2 + 2*t + 1. Let o(a) = -2*v(a) + 5*x(a). Let z be o(0). Solve i + z*i - 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**2 + 17*s - 17. Let v(d) = -9*d**2 + 16*d - 20. What is 5*p(o) - 4*v(o)?\nAnswer: o**2 + 21*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*g + 3, 0 = -3*g - 4*u + 21. What is the smallest common multiple of 20 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**2 - 49694*a - 99429. Calculate q(-2).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 19*v - 20*v = -37, -a = -5*v + 33 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6307 (base 14) to base 10.\nAnswer: 17059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uguugu. What is prob of sequence uuug?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5\/3 (b) 60.1 (c) -1\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02753339417 to 6 dps.\nAnswer: -0.027533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {j: 1, g: 4, f: 1, l: 4, c: 3}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-1260)*-18*(-7)\/(-15)*18\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19290 + 1 + -13 + 11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1174.42 * -3264.\nAnswer: -3833306.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 597949 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*h - 8*h**2 + 16*h)*(5*h - 6*h + 6*h + 5*h) in the form u*h**3 + n*h**2 + m*h + b and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*b + 375 + 913 = -5*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**5 - 1783682*z**4 + 832*z - 4687?\nAnswer: -40*z**3 - 21404184*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 1\/3, -0.6698, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 0.11. Let a = 4.75 - -0.25. Put a, v, 3\/4, -0.4 in decreasing order.\nAnswer: a, 3\/4, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*x**3 + 1 + (3 + 2*x**2 - 3)*(x + x + 0*x) - 2*x**3 + 0 + 0 - 6*x - 2267 + 9*x**3 + 4*x + 2132.\nAnswer: 13*x**3 - 2*x - 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-30)*(-130)\/(-4). Let o = -6 - x. What is the lowest common multiple of o and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13241403 (base 6) to base 12.\nAnswer: -193263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*z - 75712, 3*z + 5*s - 72555 = 41052. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1611 = 3*n + 1602. Which is the nearest to -45? (a) n (b) -1\/2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9964 and 470684414?\nAnswer: 4982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -482 - -478. What is the closest to -4 in x, -5, 3\/7, 5\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:56 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7463551423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*b**3 + a**3*b**2 - 5*a**3 + 19729*b**3 - 4243*b wrt b.\nAnswer: 12*a**3 + 118374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3259079140.\nAnswer: 2, 5, 37, 4404161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 27448000 to the nearest one hundred thousand.\nAnswer: 27400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + 0*m**4 - 2*m**4 - 15*m**2 + 2*m**3 - m**4 to a*m**3 + z*m**2 + j + b*m**4 + v*m and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * 2540.\nAnswer: 457.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**2)\/n*n*(n\/n**(-3\/5))\/n)\/(n**(-13)*(n*n\/(n\/(n\/(n*n*n\/n**(11\/5)*n))))\/n))**(1\/7) assuming n is positive.\nAnswer: n**(67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 4. Let b(k) = -3. Suppose 10*t + 12 = 7*t. Let y(o) = t*b(o) + 3*r(o). Let v(c) = c. What is v(y(h))?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 404.8 and -29?\nAnswer: 433.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3392, -6842, -10318, -13832, -17396, -21022, -24722, -28508?\nAnswer: -32392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 83\/3630, -3, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 445808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 7*d + 85. Let f = -11 - d. Suppose 4*m - 3*w = -2*w + 436, 2*m - 208 = -f*w. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24\/7 + 65\/21. What is the third smallest value in b, 0.04, -3\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14769 - -19769. Let f be (-4 - o\/(-8631))\/((-2)\/6). Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = -m + 5, 0 = m - 1. Let b(a) = -a - 5*a + 5*a**2 + i*a - 1. Is 16 a factor of b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 1:11 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 37, 50, 61?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**5 - 2*l**4 - 236*l**3 - 29932*l**2?\nAnswer: 360*l**2 - 48*l - 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2801809.3925974 + 2801809. Let k = l + 0.1025919. Let y = k - -0.29. Round y to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from kgllllgg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1727*y = 1737*y - 13120. What is the highest common factor of 64 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -5 (c) 7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1707928, -4, -2 in decreasing order.\nAnswer: 1707928, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {j: 7, g: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-485)\/194)\/(15\/(-168)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0 - r**3 + 4*r**2 + 0*r + 1\/24*r**4. Let o be u(6). Solve -5*p + 2*p + 5*v = 6, o = -5*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1151 (base 11) to base 7.\nAnswer: -4253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - 7*k + 9. Let o(a) = -626*a - 2503. Let d be o(-4). Give m(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:28 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1748181, -3496361, -5244541, -6992721?\nAnswer: -8740901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 427, 5 in decreasing order.\nAnswer: 427, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + -2*(-4 - -3). Let x(w) = 3*w - 5. Let y be x(u). Solve 0 = -4*d - d + y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1101*y + 6605. What is a(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s - 4*m, 5*s - 25 = -m - 3*m. Suppose -2*r - c + 2270 = -3*c, -2270 = -2*r + s*c. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 2\/5 (c) -4 (d) 123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 9 = -3*w, 144*w - 145*w + 15*s = 44 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1516732836968 and -5.\nAnswer: 1516732836963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usul when four letters picked without replacement from {d: 5, s: 1, l: 1, u: 6, t: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1942206461 - -8.5.\nAnswer: -1942206452.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 108493828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 1, n: 7, u: 2, h: 6}. What is prob of picking 2 h, 1 s, and 1 n?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04652 and 0.3?\nAnswer: 0.013956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63164 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51249\/869 - (31 + 36765\/(-1185)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 6*j. Suppose 23*o - 2967 = -j*o. What are the prime factors of o?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 96 - 96 - 5*m + 3*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175476 = -k - 83*k. What are the prime factors of k?\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m - 41. Let k be c(13). Suppose 0 = 6*h - 12. Suppose -h*u = d - 205, u - 5*d + k = 2*u. What is the remainder when u is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-32)\/(-234))\/((-90)\/540) and -47\/8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321746.\nAnswer: 2, 19, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366014318 - -0.3.\nAnswer: -366014317.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 1. Let b(l) = l + 7. Let f(n) = b(n) - 2*i(n). Let k be f(3). What is the greatest common factor of k and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g - 11. Let u(z) = 3*z - 3. Let l(p) = -6*s(p) + 22*u(p). Let n(c) = -156*c - 126*c - 139*c + 435*c. Determine l(n(f)).\nAnswer: -84*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 30 + 12*w + 30.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -29*m + 27*m. Let f = -1 - m. Suppose z - 4*x = f, 2*z - 2*x = 3*z - 49. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 + 3 - (-2 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3110304 and 40?\nAnswer: 15551520","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 6. Let k(z) = -3*z + 7. Let h(v) = -13*v + 29. Let j(n) = -2*h(n) + 9*k(n). Let t(d) = 6*j(d) + 5*x(d). What is t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 3*o - 8 + 9. Let c be a(-3). What is the second derivative of 3*q + 0*q**c + q**4 - q**5 - q**4 wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -313 + 457. What is the remainder when 1003 is divided by b?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31997*u**2*z**2 + 72*u**2*z + 85*u*z - 2*u - 45*z**2 + 56*z - 2 wrt z?\nAnswer: 63994*u**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 596\/15. Which is the smallest value? (a) 0.3 (b) m (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0*o - 2*o**3 + 3*o**2 - 1\/8*o**4 + 0. Is 12 a factor of t(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(30)\/(-4*sqrt(486)) - (sqrt(50) + sqrt(500)\/sqrt(250))\/(sqrt(40)\/(sqrt(4) + sqrt(36)) + sqrt(10)).\nAnswer: -313*sqrt(5)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 7) in base 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 249170485 + -0.391.\nAnswer: 249170484.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1005200135 - 1005200143.44995802. Let o = 8.45 + i. What is o rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778596 divided by -8372?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1821 (b) -7 (c) -0.3 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1067186.4 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*(y**20\/y)\/y*y))\/y**(-24))\/(y**(17\/3)\/y**25) assuming y is positive.\nAnswer: y**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*y + 23 = 2*l, 5*l - y = 23. Suppose 7 + l = 4*x. Solve 0*b**4 + b**3 + 5*b**2 - 3*b - 1 - 5*b**4 + b**4 + 2*b**x = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -252, -243, -222, -183, -120, -27, 102?\n\"Answer: a**3 + 2*a - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = -29*y - 461. Let d = -8 + -27. What is the units digit of (-250)\/1*(y - 77\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 6\/3) + 3. Solve 8 = 5*c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*j**4 - 6*j**4 - 2*j**4 + j**3 - j**4 - j**3 + (0*j**2 + 0*j**2 + 2*j**4)*(-6 + 1 + 2) to l*j + h*j**3 + w + y*j**2 + r*j**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6759 by -6529.\nAnswer: -6759\/6529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3904073463+-0.0309\nAnswer: -3904073463.0309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.5 - -6. Let l = 0.04 - 45.04. Let j = -46 - l. Which is the nearest to j? (a) i (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -26. Suppose 5*g - 58 - 112 = j. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-7 + 5 - (1 + 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111424 and 39872.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 24*a + 9. Suppose y = -2*w - 7, 5*w + 6 = 2*y + 2. Let d(h) = -9 + 8 + 6*h + 0*h + 10 - 7. Calculate w*m(l) + 9*d(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.964704547 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52736 + -91736. Round t to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 2\/5 (c) -5 (d) -5\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*r + 5*r. Let o be (-7 - -5) + r\/(-3). Let l(n) = -n**3 - 2*n**2 + 2*n - 3. Let a be l(-3). Are a and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 42*i - 1. Let d(w) = -w + 31. Let l be d(20). Suppose -21*k + 20 = -l*k. Let n be u(k). What is n rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2649, 4, -5 in decreasing order.\nAnswer: 4, -5, -2649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65397413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133 plus -0.0996?\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-63)\/(-35))\/(-3)*5. Let k be (10 + 0)*(-20)\/(-40). Let q be (-32)\/14 - (-4)\/14. Sort m, q, k, -7.\nAnswer: -7, m, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/92248640 and 19\/236940?\nAnswer: 276745920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = a - 9, 2*u - 8 = 3*a. Suppose a = -9*b + b + 272. Suppose -2*t = -b - 102. What is the highest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-109)\/2*(-13 + 1). Let f be y\/33 + (-4)\/(-22). Suppose -i = 4*u - 14, -2*u - f = 3*i - 7*i. Solve 0 = -2*v + 4*g - 26, 0 = -v + i*v + 3*g + 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:58 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -2. Solve 0 = 5*c - x - 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3.4. Let z be (-5 - -2) + 1\/1. Let y be (-2 + 1)\/(z\/8). Which is the closest to -0.1? (a) y (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 3. Let t(m) = 5*m + 11. Calculate 22*g(i) + 6*t(i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, 2\/9, -48 in decreasing order.\nAnswer: 2\/9, -0.1, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19251 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(3\/7)\/h**(2\/65))**(-10))**(-8\/7))**(-23) assuming h is positive.\nAnswer: h**(-66608\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155.701 + 154.8. Let z = 0.97 + v. Round z to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, e: 1, t: 3, s: 5, h: 4, o: 1}. What is prob of picking 1 s, 1 t, 1 e, and 1 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -112220120212 (base 3) in base 8?\nAnswer: -1075156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {q: 1, e: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - (-43)\/2)\/((-9)\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + (sqrt(7623) + -2 + sqrt(7623))**2 + 0)*-3.\nAnswer: -91485 + 792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*f + 3*f + i, i + 38 = -5*f. What is the common denominator of 85\/14 and 166\/112 + (-4)\/f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.162 - -16.3.\nAnswer: 16.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 1, 2, -44 in descending order.\nAnswer: 2, 1, -44, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 65728.63l in millilitres?\nAnswer: 65728630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184101401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 - -1) + (-462)\/(-36) and -79\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14948.33l in millilitres?\nAnswer: 14948330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42495 (base 12) to base 16.\nAnswer: -15431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100 - -111100210020?\nAnswer: 111100200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**5\/60 - z**4\/6 + 145*z**3\/6 - 23*z**2 + 1. Let b be x(-14). Solve -7*k = -b*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + 6*f + f**3)*(58 + 23 + 92)*(2*f - 5*f + 2*f).\nAnswer: -173*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -530, -946, -1362, -1778, -2194?\n\"Answer: -416*f - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -950*y - 1225. Is p(-6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from bdbdzzuzludzdzzu.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -14793.5794751406?\nAnswer: -14794.0794751406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - f = 774, -4*t - 118 = -5*f - 1150. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*(0 + (-4)\/(-3)). Let n = 20 - r. Let h(z) = z**3 - 12*z**2 + 13*z - 5. Let o be h(11). Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20329, 20232, 20133, 20032, 19929?\nAnswer: 19824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from uckckupgkkc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -6. Let z = -720\/19 - -38. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972177?\nAnswer: 1972177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + u**2 + 0*u**2 + (21*u**2 + 46*u**2 + 2*u**2)*(1 - 1 - 2).\nAnswer: -136*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 12052046\nAnswer: 96416368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ec9 + 785?\nAnswer: 164e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -88778 at least -88990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 642 divide 139515588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 8*u**2 + 31*u + 5. Give g(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1925, 2168, 723, -2410, -7231, -13740, -21937?\nAnswer: -31822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2 + 16*k - 3 + 8*k**2 - 14*k**2 - 4*k**2.\nAnswer: -(4*k - 3)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10161, -10166, -10175, -10188, -10205, -10226?\n\"Answer: -2*c**2 + c - 10160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3\/3)\/((-4)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 15. Let m = -19 + b. Let x = m + 14. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 times -1.1?\nAnswer: -192.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 0*j**2 - 7317 + 2*j - j**2.\nAnswer: -j**2 + 2*j - 7317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from wwwwwwwwwvvww.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/162409 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945, 1562, 2179?\nAnswer: 2796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjkjwkjjjjwjjwjj. Give prob of picking 1 j, 1 k, and 2 w.\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 2*j - 2. Let g(u) = u - 1. Let p = -10 + 8. Let r(b) = p*g(b) + z(b). Let c(x) = 3*x + 2*x - 4*x. What is c(r(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -403 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 60*m - 6241. Give o(104).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + 330302?\nAnswer: 330225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.865 + 1.3\nAnswer: -1.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*16\/60*27\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpllpigpii. What is prob of sequence pp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**2 + 32*p + 2. Let c be r(-4). Let h(f) = f**2 + 2*f - 3. Calculate h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4551 + -4510. Suppose 2*r + 305 = 5*c, -4*c = -4*r - 0*r - 244. What is the remainder when c is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5238 at least as big as 5239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -u - 4*u + 5, u = 3*q + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1649253334794 - 0.9\nAnswer: -1649253334794.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*p + g, -21*g + 18*g = 3*p - 27. Solve r - 4*y + y = p, -5*r - 2*y = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119737200 divided by 1410?\nAnswer: -84920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 498 divided by 35846\nAnswer: 249\/17923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 12. Let w = b - 15. Suppose -2*v - 4*k + 89 + 27 = 0, -3*v = -2*k - 206. Calculate the highest common factor of v and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and -1892.58695.\nAnswer: -1892.62695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 7*u - 4*u + 98, -4*u = -3*x + 279. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 42. Let y be v(14). Suppose 5*a - 10*a + 2*k + 129 = y, 39 = 2*a - 5*k. What is the highest common factor of 63 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(250) + (sqrt(250) - (sqrt(250) + (sqrt(250) - 1*sqrt(250))))*-2)\/(sqrt(245) + sqrt(245)*1).\nAnswer: -2 + 5*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/16 and -79\/1354.\nAnswer: 10832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 1\/2 (c) -3 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*i + 3*i. Let s = 2 + 13. Let p = -10 + s. Solve 1 + p = -i*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*h - 2*h + 78, 2*h = -4*l - 66. Suppose 4 = -4*t + 3*k, 16 = -14*k + 18*k. Suppose v - o - 15 = t*v, 10 = 5*o. Is v >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -5, -0.04486503, -0.8, -1\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -174*f + 476. What is u(6)?\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. Let l be 3*12\/(-27)*m. Suppose -5*t = -3*x + x - 22, 11 = 3*t + x. Solve 12 = t*c, -5 = l*s - 3*c + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/20 - 7*w**4\/12 - 3*w**3\/2 + 5*w**2 - 19*w. Let z be k(8). Suppose z*v + 5 = 13. Which is smaller: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2693916252833496 - -2693916236420169.07000107. Let b = v - -16413327. Let f = 0.07 - b. What is f rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 3*v**5\/5 - v**3 + 184*v**2 + 7996*v - 4850. Find the first derivative of d(u) wrt u.\nAnswer: 12*u**3 - 6*u + 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2, -2\/5, 4, -8\/101, 0?\nAnswer: -8\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370659531.\nAnswer: 3, 11, 47, 353, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cddd. Give prob of sequence dc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 38 = 5*p + 13, -5*p + 10 = 2*j. Factor 10 - 5*v**4 - 13*v**2 + 8*v**2 - 15*v + 9 - 9 + j*v**3.\nAnswer: -5*(v - 2)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwww when four letters picked without replacement from {c: 3, w: 7, j: 3}?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14 (b) -7 (c) -2 (d) -4 (e) -1\/10 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85\/273 - -1\/39. Let c be 6\/8 - 0\/1. Let j = -3 - -6. What is the biggest value in v, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2.4. Let v = 0.5 + l. Let i = 0.9 + v. Which is the closest to i? (a) 0.1 (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 165 + 21 = 0. Let k be (-196)\/(-63)*(-117)\/(-26). Suppose f*p = 34*p + k. Let r(t) = -t**3 + 8*t**2 - 6*t - 8. What is r(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 15*f - 4 + 17*f + (-3 - 1 + 3)*(-3*f + f + 4*f) + 3 - 2*f - 3.\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10914 = -22*u + 20. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*r - 1)*(-5*r - r + 0*r)*(19*r**2 + 158*r - 158*r + (-r**2 - 2*r**2 + r**2)*(-3 + 4 + 0)).\nAnswer: -204*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (800\/2160)\/((-35)\/(-168)*-4)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 15*z**2 - 31*z**2 + z**2 + 6*z**2 + 5*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y - 18. Let d be p(6). Calculate the greatest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2191033183 is divided by 1574.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*m - 3)*(4*m**4 - m**4 - 4*m**4 - m**3 + m**3 - 2*m**4 + (4*m**3 + 2*m**3 - 2*m**3)*(3*m - 3*m + m)).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 12*t - 6. Let w be k(5). Let j = -2026\/11 + w. Which is the smallest value? (a) -24 (b) 2\/3 (c) -0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1426263, -1426264, -1426265?\nAnswer: -1426266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*v - 886, 4*c - 987 - 181 = -4*v. What is the smallest common multiple of 205 and c?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 3. Let a be u(-6). Let q = 2948 + -2945. What is the greatest common factor of a and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7579, -7539, -7471, -7375, -7251, -7099?\nAnswer: -6919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827848119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11590433 is divided by 253.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 + 82*v - 31. Give p(17).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 32338813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4*5 - (-5 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34051.0065 - -34017. Let i = 27.5 - -6.5. Let y = d + i. What is y rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 37.5, 1567 in descending order.\nAnswer: 1567, 39, 37.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -248*s**3 - 4*s**2 + 2331*s. Let b(o) = 237*o**3 + 3*o**2 - 2330*o. Let w(v) = -4*b(v) - 3*t(v). Find the second derivative of w(m) wrt m.\nAnswer: -1224*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 + 8*b**3 + 2*b**4 - 10*b**3 to the form k + u*b**4 + v*b**2 + w*b**3 + y*b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*f + 191 + 1 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -419\/14, -2\/21, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 16. Let t(q) = -37664*q. What is t(a(i))?\nAnswer: -75328*i - 602624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1864, -15603, -52900, -125533, -245280, -423919, -673228?\n\"Answer: -1963*d**3 - d**2 + 5*d + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -556422 at least -556422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -676 + 287299\/425. Let t = d + -167\/1275. Which is the closest to 0? (a) t (b) -1\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*q**2 - 29*q**3 + 55*q**2 - 12*q**3 wrt q?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 189580 (b) -1\/11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -18512, -0.3, 0?\nAnswer: -18512","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 7 (c) 1\/8 (d) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 881055 to the power of 1\/2, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.68157 - 2.68. What is d rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611.28 rounded to the nearest integer?\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5902*k - 5251*k + 50778 for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = -19*i - 326, -i + 11*k - 8*k - 8 = 2*k + 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**7\/360 + d**5\/60 - 3*d**2. Let t(h) be the third derivative of c(h). Let y(i) = -2*i. Determine y(t(k)).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:58 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -0.06 (c) 279 (d) 6\/5 (e) -146 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let u = -21 - -40. Let l(q) = -u*q + 46*q - 25*q. Calculate z(l(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 585510 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**4)\/p))\/p**(-12))\/(((p**3*p)\/p)\/p*p)**1 assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -73, -77, -83, -91, -101, -113?\n\"Answer: -r**2 - r - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 - 149*j**2\/3 + 97*j + 147.\nAnswer: (j - 147)*(j - 3)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/30 and 85\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d - 643. Let b be i(59). Solve 0 = p + q, 4*p + b + 6 = 2*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saassnniaiasnaisass. What is prob of sequence saaa?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:31 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*(d**(-1\/2)\/d)\/d)*d\/(d*d*d**7*d*d*d*d))\/(d**(3\/7))**35 assuming d is positive.\nAnswer: d**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.53 - -42.707. Let f = s - 17.1. Let k = -0.923 - f. Put 7, k, -0.2, 1 in increasing order.\nAnswer: k, -0.2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 38*o**3 + 9*o**2 - 11*o + 2. Let r be s(1). Solve -p - 1 = 5*m, -m - p - r + 37 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 140 and 118?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.34 - -0.66. Let c = -62.53 + 63. Let u = c - 0.67. What is the closest to u in 2\/5, m, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104839, -209680, -314521, -419362, -524203, -629044?\nAnswer: -733885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11450034.56 rounded to the nearest 10000?\nAnswer: 11450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 102.3. Put 273, n, -5 in ascending order.\nAnswer: -5, n, 273","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 = 41*d - 2752. Calculate the remainder when 589 is divided by d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 + 0 = 0. Let m(z) = -j*z + 41 - 2*z - 41. Let q(a) = a. Calculate q(m(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136 in 1\/3, -2.22, 0.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**3 - c + 1. Let f(n) = -59*n**3 + 4. What is -f(o) + 4*x(o)?\nAnswer: 83*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-14 + 2*s + 14 + (2 - 5 + 1)*(-2*s - 1 + 1))*(-4*s + 0*s - 2*s)*(18*s + 6*s - 141*s).\nAnswer: 8424*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147757 = 2758*j + 501*j + 1821*j - 294203 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Suppose -3*i - 3*o + 31 + 35 = 0, -v*i - 3*o = -106. Solve 3*d + 5 = i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4265.89443 minutes in weeks?\nAnswer: 0.4232038125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.72 + -0.28. What is the closest to 0 in q, 10, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25b130 - 0?\nAnswer: -25b130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 16*c + 20. Let l be z(-20). Let g = l + 677. Suppose 5*j + 2 = 157. What is the greatest common factor of g and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*40\/(-64) + (-64)\/20. Determine s, given that -t*s**3 - 12\/5*s**4 + 3*s**2 + 9\/5*s - 3\/5 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 234*h - 20*h**3 + 105*h**3 - 226*h - 45*h**3 - 3 to the form f + g*h + s*h**3 + b*h**2 and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 80*k**4 - 16*k**2 - 16*k + 96. Let j(o) = 16*o**4 - 3*o**2 - 3*o + 19. Let l(w) = 16*j(w) - 3*q(w). Differentiate l(h) with respect to h.\nAnswer: 64*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10104 - -10101. Which is the nearest to h? (a) 2 (b) 18.7 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.028 - -0.672. Let w = p + -0.4. Which is the nearest to -1? (a) w (b) 2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -439*g**3 + 11*g**4 - 170 + 53*g**4 + 438*g**3 wrt g?\nAnswer: 256*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435964720, -435964719, -435964718, -435964717, -435964716, -435964715?\nAnswer: -435964714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1067 + -7457\/7. Are m and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36899 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150297 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 + 124*a - 127*a + 47 + 18 + 42.\nAnswer: -8*a**2 - 3*a + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -16. Let l(x) = -x**2 + 12*x - 14. Let m be l(v). Suppose 5*w - 76 = -2*h, -5*h = -m*w + 3*w + 27. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/30 - -1)\/(12\/(-30))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -99528*t - 47. Let b be h(9). Let r = b - 2724201. What is r rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 12:49 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:12 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 533*y + 6*y**3 - 60*y.\nAnswer: 2*y**3 + 473*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = v - 24, -5*o - 10 = -5*v + 10. Suppose y = -v + 36. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/4 + 1)\/(-1). Solve -4*f - 11 - 9 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y*y\/(y*(y\/(y\/y**4))\/y*y*y)*y*(y*y**(2\/7))**(-22))\/((y*y**(1\/7))\/(y\/((y**(-6)\/y*y)\/y))*(y\/(y**(1\/9)*y))\/y**(-1)) assuming y is positive.\nAnswer: y**(-1910\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 - 6*t**2 + 812*t - 2419. What is j(3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 502*m - 1959. Let z be f(4). Sort 2, z, 3, 5 in increasing order.\nAnswer: 2, 3, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 0. Solve z = 3*r + 2 - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r**2 + r + 80. Let x be d(0). Suppose n = -4*n + x. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwss when four letters picked without replacement from {s: 5, w: 3, q: 1, x: 1, k: 2}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1285066341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12410?\nAnswer: 2, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*f - 18. Let q be ((-15)\/20)\/(f + 0). Let p be (-10)\/(-20) - (-1)\/4. What is the closest to 0 in -0.4, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49576.97um to centimeters.\nAnswer: 4.957697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3809.205 - -1967.1299. Let b = -1842 - u. What is b rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 2*b - 1. Determine y(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/3)\/u**(11\/2) assuming u is positive.\nAnswer: u**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + y - 144 + 0*y + 6*y.\nAnswer: 5*y - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 1454 - 1948. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162217\/5 + 32586. Let t = h + -153. What is the common denominator of t and -26\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133.7 - -134. Sort -0.1, -9\/7, h in increasing order.\nAnswer: -9\/7, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/318?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllnllllllnlll. What is prob of picking 1 l and 1 n?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 2\/15, -0.4, -1.1, -2\/21 in descending order.\nAnswer: 2\/15, -2\/21, -1\/5, -0.4, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**5\/60 - 13*v**2. Let c(y) be the second derivative of -y**3\/2 + y. Determine b(c(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 647697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2123139g?\nAnswer: 0.0000002123139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*j - 15*j + 11877 = 1845 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 404663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77)*-2)\/(1*sqrt(11)*4) - (1*(sqrt(84) - (-1*sqrt(84) + sqrt(84))) + sqrt(84) + sqrt(84))\/(2*sqrt(12)*-2)) + -3.\nAnswer: -3 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12 - 0)\/(18\/270) + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32288 divided by 1.\nAnswer: -32288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 10:35 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*j - 1219 = -1238, 0 = 2*z - 3*j - 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(2*n + 5*n - 5*n) + (-1 + 1 - 3*n)*(2 + 3 + 2).\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101134550?\nAnswer: 2, 5, 11, 183881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 5. Let z(r) = -2. Let p be ((-4)\/(-7))\/(18\/63). Let x(a) = a - 1. Give m*z(j) + p*x(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = c + 2 - 9, 5*n = 5*c + 15. Put n, 4, 3 in increasing order.\nAnswer: 3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2213693050 and 3050?\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 less than or equal to -34.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3*18\/27)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3627686 and -3.\nAnswer: -3627689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:40 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - (-1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2714, 10887, 24504, 43559, 68046, 97959?\nAnswer: 133292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4 (b) -13 (c) -16\/7 (d) 15\/4 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279882599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c. Let j(a) = 810*a**2. Determine n(j(o)).\nAnswer: 5670*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.169322um?\nAnswer: 0.000000169322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 15*y = -15. Suppose -2 = y*i + 28. Let a be -4 - (6*-1 - 1) - i. Solve 6*d = a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -828 - -875. Let h = 5 + 21. Calculate the remainder when y is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3 + 766288*q**2 + 249088070*q wrt q?\nAnswer: 6*q + 1532576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-1 - 3) + 6. Suppose -2*z = -4*m - 172, -302 = -3*z - c*z - 5*m. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 34*d**3 - 10*d**2 - 43*d + 283. What are the prime factors of m(8)?\nAnswer: 3, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 263\/595?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*b + 9 + 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 79*x**4\/4 - 5. Let k be f(2). Let v = -345 + k. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u. Let x(p) = -60*p**2 + 3*p + 3. Let h(q) = -23*q - 23 + 0 + 0 + 59*q**2 + 409*q**2 + 15*q**2. Let d(n) = -3*h(n) - 23*x(n). Determine k(d(f)).\nAnswer: -276*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b - 112. What is h(-16)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 443, 934, 1425, 1916, 2407, 2898?\nAnswer: 3389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 2*a**7\/105 + a**6\/75 - a**5\/10 + a**4\/15 - 28*a. Determine k so that d(k) = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000100083 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + p + 8 = -10, 4*p - 28 = -5*n. Suppose n*o = 4*y, -4*o = -5*y + 4*y - 15. Solve 0 = 3*r - c - o, r + 3*c = 6*c + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.00344 + 0.29656. Which is the second smallest value? (a) -4 (b) 2 (c) y (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12144 + -1?\nAnswer: 12143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 47\/179, -4432?\nAnswer: 47\/179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 849*w + 929*w - 1475*w - 1352*w - 2113*w.\nAnswer: -3162*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/6)\/((-4)\/(-8)))\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.54 * 4.\nAnswer: 6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.722 - -0.022. Let s = r - -0.5. Which is the third smallest value? (a) s (b) -0.3 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2066295 - 1405904. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*-115*(0 + -1). Let t = -297 - c. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - o = -v - 26, 4*o - 60 = -2*v. Let j be 18\/v - 4\/(-22). Let g be 2 - (-3 - (-2 + j)). Which is the smallest value? (a) -0.4 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22669032 and 9.\nAnswer: 68007096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 16*w**2 + w + 3251. Is t(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-11)*i**(3\/8) assuming i is positive.\nAnswer: i**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -495 - -4457\/9. What is the closest to 2 in s, 1\/9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31115699 is divided by 1980.\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.222 + -20.978. Let z = w - -3.2. Let o = 18.0000025 + z. What is o rounded to 7 dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -11*b**5\/60 + 90*b**2. Let u(t) = -46*t. Determine m(u(k)).\nAnswer: -23276*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.155 times 0.327152\nAnswer: 0.05070856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5844131338.\nAnswer: 2, 173, 349, 48397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0956930832 rounded to three dps?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, t: 15}. What is prob of picking 3 u?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17731, 17132, 16141, 14758, 12983?\n\"Answer: -196*q**2 - 11*q + 17938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 205*d**7\/21 - 37*d**3\/2 - 3*d**2\/2 + 238*d + 1. Find the second derivative of b(n) wrt n.\nAnswer: 8200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 + w - 5*w - 56 - 57.\nAnswer: -4*w - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2971, 5963, 8967, 11983, 15011?\nAnswer: 18051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 70 + 62. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263414 plus 133135450?\nAnswer: 131872036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239725 is divided by 42749.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/100 and -63\/9410.\nAnswer: 94100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -2*k, -4*k - 5*m + 19 = -k. What is the lowest common multiple of 8 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26611\/6 - 4423. Let u = 3221 + -64493\/20. What is the common denominator of h and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -452 + 447. Let q be ((-54)\/12 - s)*0. Is q >= -6\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - i**2 + 6*i + 4. Let c be p(7). Find the common denominator of (20\/(-16) + 1)*c\/(-56) and -13\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/4*(228 + (-11 - -3)). Is 2\/3 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.5 (c) 117.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 892 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Let q(z) = -1274869*z**3 + 1274868*z**3 - 3 + 4 + 3*z**2. Calculate q(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1 (b) -4 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-16)\/(-12)) - 1. Sort -2, 5, x, 2 in decreasing order.\nAnswer: 5, 2, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4 = -3*l. Let k = l - 0. Let w be 4\/(-24) - k\/(-132). Which is the closest to -1? (a) -2\/7 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 190, 307, 428, 553, 682, 815, 952?\n\"Answer: 2*j**2 + 111*j + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (3 - 3) - (8 - 3)) + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, p: 10}. Give prob of picking 1 r and 2 p.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 - 1. Suppose -2*v + 3 = 3*s, -2*v + 9 = 2*s + 5. Let b be 0 + -1 + -1 + (s - -1). Let w(c) = -6*c**2 + 2. Calculate b*w(p) - 3*x(p).\nAnswer: -3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/4)\/(u**(-3\/8)*u)*(u**0)**(6\/11) assuming u is positive.\nAnswer: u**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46207, -46205, -46209, -46225, -46259, -46317, -46405?\n\"Answer: -t**3 + 3*t**2 - 46209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25764*g**5 + 17222*g.\nAnswer: -515280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 59823.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 1\/4*y**5 - 1\/24*y**4 + 0*y - 19\/120*y**6 - 2*y**2 + 1\/30*y**7 - 1\/3*y**3 + 0. Let f(m) = 0. Calculate m.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 8. Suppose l*q = 37 + 2. Let j(u) = -u + 14. Let i be j(q). Let t(f) = -f**3 - f**2. Let v(p) = -3*p**3 - 4*p**2. Calculate i*v(x) - 4*t(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2 = 1607*o - 1606*o, 5*f = -2*o + 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 438 - 404. Calculate the greatest common divisor of f and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20900 = 2*v + 2*v, 3*v - 15699 = -5*n. Let j = v + 15214. Let m = j + 59558. Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 898900 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 2*b**3 + 4*b**3)*(-3*b + 4*b + b) + 4*b**2 - 4*b**2 - b**4 - 4*b**4 + 3*b**4 + 2*b**4 + (-14 + 14 - 9*b)*(0*b**3 - 2*b**3 + 4*b**3).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**8)\/k**(-1\/2)*(k*k\/(k*(k*(k*k*(k*(k\/k**(2\/11))\/k)\/k*k*k*k)\/k)\/k*k)*k)**(-1\/11) assuming k is positive.\nAnswer: k**(2603\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7275082 and 2353703.\nAnswer: 80025902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a - 48. What is the hundreds digit of f(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((65\/10)\/(-13))\/(3\/(-18)). Solve -w*h - h - y = 9, -2*h + 8 = -2*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160870*p**3 - 160872*p**3 + 4 + 2)*(2*p - 2*p + p**2).\nAnswer: -2*p**5 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**10\/o**8)**(-1\/34))**(-2\/89) assuming o is positive.\nAnswer: o**(2\/1513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/80 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101671 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 12. Let z(k) = 5*k + 22. Is z(v) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 104971.\nAnswer: 41988.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43\/24 + -9\/8. Let y = -1219 - -1219.1. What is the closest to 0.2 in l, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8567873 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b7 + -536?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -341.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + ((-6)\/1)\/(-3). Let t(m) = -3*m**2 - 3 - 2 - 2*m + 0*m**2 + m**3. Let l be t(z). Solve l*r + 15 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*w = 119*w. Which is the fifth biggest value? (a) 0.5 (b) -0.2 (c) -20 (d) 1 (e) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316143, 632288, 948433, 1264578, 1580723, 1896868?\nAnswer: 2213013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 119 - 1 - (-1610)\/115?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.056 times -0.2?\nAnswer: 3.6112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) -20 (c) 1\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (-4306)\/(8*-1 + 495\/66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*n - 133*n + 153*n**2 - 138*n.\nAnswer: 153*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15696475, 15696504, 15696533?\n\"Answer: 29*a + 15696446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4471.3 rounded to the nearest ten?\nAnswer: -4470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.06 (c) 0.3 (d) -0.3 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -928, -4099, -9390, -16807, -26356?\nAnswer: -38043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 55\/10 - 7\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 47, -4, 46, -1, -2\/13 in decreasing order.\nAnswer: 47, 46, 4, -2\/13, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.420577 millennia to decades.\nAnswer: 542.0577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.726 + -2.552. Let d = f - 2.2. Let i = d - -0.05. What is i rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3080 and 4730.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 - 349 - (1 + (0 - (-1 - -4 - 7)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 414.373nm?\nAnswer: 0.000414373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 28. Let j = v + 7. What is the closest to 1 in 0.4, -2, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(36)\/sqrt(3))\/sqrt(6) + 0 + sqrt(2) + 1 - 3*(sqrt(8) + 2 - sqrt(2))) + 1)*6 + -2)*-2)**2.\nAnswer: 1248*sqrt(2) + 2992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {m: 4, j: 4, g: 6}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279340630.\nAnswer: 2, 5, 27934063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**11)**21*q**(-6\/7)*q**1 assuming q is positive.\nAnswer: q**(1765\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 8 + (-424)\/40. Let k = 3.4 - 22.4. Let f = 17 + k. Sort -1, f, m, 1\/4 in increasing order.\nAnswer: f, -1, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -c + 3*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7041+-870\nAnswer: -869.2959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.98309 microseconds in minutes?\nAnswer: 0.0000004330515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = -92. Suppose 2*z + z = h. Let u be (-18)\/63 - (-6)\/21. Solve -t - w = z, u = -8*t + 3*t - 2*w - 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d = 25*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2 + (-4 + 0 + 2)*(2 - 1 - 3))*(0*u**2 + 3*u**2 - u**2).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1380*r**2*x**2 + 13*r**2 + 30*r*x**3 - 2007*r*x - x**3 wrt x?\nAnswer: -2760*r**2 + 180*r*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -20 - (-2 + 0 + 1 + -12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68*654517.\nAnswer: -44507156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 909, 190, -991, -2634, -4739, -7306?\n\"Answer: -231*k**2 - 26*k + 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -5. Suppose -2*s + 6 = -8. What is the least common multiple of (-12)\/r*21\/3 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-540)*5)\/(11\/60)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13960134139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, d: 5, r: 1, j: 3, g: 2, f: 4}. Give prob of picking 2 d.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16088695 or -160886943\/10?\nAnswer: -16088695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-3)*(-1828)\/(-16). Suppose -3*l + 317 = 2*v, 745 = 5*v - 2*l - 0*l. Let h = n + v. What is the third biggest value in h, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(11100\/(-703))*18\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u = 5*u - 520 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from qmmgspy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + u + 6 + (1 - 2 + 3)*(-4 + 2*u + 4) - 7*u + 16 - 16)*(-3*u**2 + 6*u**2 - u**2).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1 (c) 904 (d) -2\/3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 7*f + 5. Let g be p(7). Let k = 84 - 44. Let m be 1*(k\/75)\/(-4). What is the closest to -1 in m, 0.3, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 793364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906146?\nAnswer: 2, 453073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 4*p - 30, 204 = -3*y + 5*p + 233 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 26*b**2 + 26*b + 36. Let d be i(27). Find the third derivative of d - 9 + 28*o**2 - 2*o**5 - 7*o**5 wrt o.\nAnswer: -540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**2 - 20*l**2 - l - l**3 - 1 + 2*l + 13*l**2. Let j(p) = 2*p**4 + p**3 - 5*p**2 - 5*p + 1. Let b(i) = 2*j(i) + 2*k(i). Factor b(o).\nAnswer: 4*o*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (3 - -1 - 3) - 2) + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32034 - -32158. What is the remainder when 733 is divided by u?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 2862329 in increasing order.\nAnswer: -8, 0, 2862329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 670598069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/6 + 84995*f\/6 + 99169 = 0. What is f?\nAnswer: -7, 85002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 2*k = -486, 20 = -5*k. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79, -825, -2913, -7039, -13899?\n\"Answer: -116*y**3 + 25*y**2 - 9*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 1482645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 14*m**2 + 14*m + 11. Let c be p(-13). Suppose -b - b = q - 17, -3 = -3*b. Let h be 5\/q*-1 + (-22)\/6. Sort h, -5, c in descending order.\nAnswer: c, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 576 - 239. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 22782*v - 817551. What is f(36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 43*r**2 - 13*r - 2. Let w(a) = 87*a**2 - 26*a - 5. Let t(g) = 5*u(g) - 2*w(g). What is the second derivative of t(c) wrt c?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4882*s + 4882*s - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -5*w - 2*x, -5*w + 118 = x - 57. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4\/5, 1252?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 + (0 - -2))) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 6. Let z be h(-3). Let i(y) = 51*y**3 + y**2 - 18*y + 10. What are the prime factors of i(z)?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, k: 2, n: 4}. What is prob of sequence nkpk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k + 22 = -27*k - 2*r, 21 = 5*k - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/17744 and -113\/48.\nAnswer: 53232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(((o*o**10)\/o*o)\/o*o))\/o**(-3))\/((o*o**(1\/4)\/o*o)\/o**(1\/5)))**(1\/65) assuming o is positive.\nAnswer: o**(-141\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + 0 + 3 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -456 - -456.4. Let v be (-2)\/(-15)*3 + 34\/(-35). Which is the third biggest value? (a) v (b) s (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.1. Let j = -56\/45 + 10\/9. Let w = 4 - 4. Which is the third smallest value? (a) w (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6607832 is divided by 429?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/9 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 21.36113 millimeters?\nAnswer: 0.00002136113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4*c = -91660 + 91745, c - 47 = 2*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14425774 (base 9) to base 4.\nAnswer: -123110213122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133140 (base 6) to base 9.\nAnswer: 17866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*v - 4*v + 0*v)*(-3 - 1 + 1)*(-1 - 1 + 1) + (4 + 2 - 4)*(v - 4*v + 2*v) to the form u*v + l and give u.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2310*i + 8 - 3.\nAnswer: -2310*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-20) - 3\/(-5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4))**(-6)\/(l*l**(-7)*l\/((l*l\/(l*l**(-5)))\/l*l*l)))\/((l*l*l*l\/l**(-1)*l*l)\/(l\/(l\/(l*l**(-7\/6)))))**(-30) assuming l is positive.\nAnswer: l**(451\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17760\/(-45) - 15)\/((-1)\/3)?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2167 = -227. Suppose 2*c = a - 197. Let t = 178 - 162. Calculate the highest common divisor of c and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 6*y**2 - y**2)*(-138 + 5*y**2 + 138) + (-y**3 + 5*y**3 - 3*y**3)*(-y - y + 4*y) + 4*y**4 - y**4 - 2*y**4.\nAnswer: -22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**2\/2 - 2*u - 1. Let s be i(2). Let g = 1 + s. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydxyxdxyyyxy. What is prob of picking 2 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 1. Let r = 66 - 62. Suppose -7 = 2*q + 3*m, m - r = q + 3*m. Let d(l) = -l**2 + 1 - 2 + 5*l**3 - 4*l**3. Give q*g(c) + d(c).\nAnswer: c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/40969800 and 191\/28678860.\nAnswer: 286788600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/4 + j**4\/4 - 69*j**3\/4 + 211*j**2\/4 - 5*j - 75 = 0?\nAnswer: -10, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 j, 1 x, and 1 a when four letters picked without replacement from {a: 1, u: 5, n: 1, j: 2, b: 5, x: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a\/(a*a**(3\/7))*a))\/a*a)\/(((a**(-1\/9)*a)\/a)\/a)*a**(-5)*a*a**10 assuming a is positive.\nAnswer: a**(349\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -374\/17829?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 604*h + 35. Let b = 5 + 4. Is a(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 5*g**2 - 2. Give c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*l - 115 = -8*l + 2135 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - 1290\/(-9). Calculate the greatest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12989 + -3791. Is 146 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 + 2777176*g\/7 + 2777178\/7.\nAnswer: -2*(g - 1388589)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - j. Let n be g(-2). What is the highest common factor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l - 12. What is p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:24 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-325755)\/(-76) + 21)\/(3\/8).\nAnswer: 2, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7003 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2\/5, -1\/254?\nAnswer: -1\/254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*t = -t + 4*t, -8*t - 35 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9934 - 9938. Sort 3\/2, p, -1, -1242 in increasing order.\nAnswer: -1242, p, -1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 33. Let o = p + 27. Solve -o - 4 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/3*(4 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1944*c + 1939*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-1 - (-4)\/2). Let q be 1 + 0 + l - 0. Find the first derivative of q - 3 + 5 + h**4 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*2\/3. Let s be (-23)\/(-69) + (-2 - 0 - c). What is the nearest to s in -1, -3\/2, 1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = -3*t. Suppose 0 = -t*w - i - 2*i + 39, -2*w + 4*i = -18. Let k = -7 + 11. Solve -n - p - k = 0, -n - 4*p - w = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 3\/4 in decreasing order.\nAnswer: 6, 2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (377*g - 156*g + 55*g)*(-7 - 10 + 4) + 4*g + 0*g - 3*g.\nAnswer: -3587*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-273)\/572) - 13)\/(20\/(-116)).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*x = -5306 + 862 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 6*s + 0 + 10*s + 7. Let j be w(-7). Which is smaller: j or 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(4*p + 0*p - 6*p) + (2 + 3 + 8)*(-3*p - 3*p + 5*p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 0*g + 91 - 5\/2*g**2. What is j(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 8*l - 4. Let o be p(-6). Let y = o + -5. Suppose 0 = y*v - v - 22. Calculate the highest common divisor of 88 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-88560)\/880 + 101 + (-1 - 2124\/33))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 327 + -1115. Let u = x + 799.82. Round u to one decimal place.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 17557?\nAnswer: -3\/17557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1365*v + 9*v**2 + 1365*v + 532 + 521 - 1053.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/12 + 5*y**3\/6 - 38*y**2 + 4480*y. What is n(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*k + 2488. Let f = -227 - k. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*x + 90*x = 156*x - 320 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 909, 2271, 4121, 6459, 9285, 12599, 16401?\nAnswer: 20691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(404\/6)\/(-1). Suppose -r + a = 2*w, -210 - 396 = -3*w - 3*r. List the prime factors of w.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18715 - 16483. What is the least common multiple of w and 18?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oof when three letters picked without replacement from {o: 10, w: 5, f: 4}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17d2e - -5?\nAnswer: -17d29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6095345 at most as big as 6095345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4\/4 + 63*l**3\/2 + 1503*l**2\/4 + 1176*l - 1584 = 0. Calculate l.\nAnswer: -24, -11, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 680917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488 a factor of 175805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = 14. Suppose -p = -4*z - 0*z. Let k be z\/(-8) + (-234)\/(-24). What is the highest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -61 - 35. Suppose 4*t = -4*p + v, 5*t - 2*p = -3*p + 22. Suppose t = c, 3*j - c - 3 = 2*c. Solve -h - j = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -8. Let s(d) = d - d - n*d**2 - 3*d**2. Let y(t) = -7*t**2 + 0*t**2 + 5*t**2 + 0*t**2. Determine s(y(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/3 - 220*l**4\/3 + 176*l**3\/3 + 1556*l**2 - 3270*l = 0.\nAnswer: -5, 0, 3, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + z + 2. Let w(r) = 18*r**2 + 8*r + 16. Let p(l) = -24*f(l) + 3*w(l). Let s(m) = -78*m**2. Give p(s(x)).\nAnswer: 36504*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*g**3 - 22*d*g**2 + 2*d*g - 8*d - 2*g**3 - 27*g**2 - 709*g wrt g.\nAnswer: 6*d*g - 44*d - 12*g - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 646*f*l**2 - 205*l**2 - l wrt f.\nAnswer: 646*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5 + 894*r**4 - 898*r**3 - 2680*r**2 + 4473*r - 1790 = 0. Calculate r.\nAnswer: -895, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3103?\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -20.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 59056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4617) - -4*sqrt(4617))\/(2*sqrt(147)).\nAnswer: 45*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/34)\/((-104)\/416)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -97. Suppose 109 = -7*x + 326. Let t = f - x. What is the highest common divisor of 15 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 751171 - -738.\nAnswer: 751909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) 43\/28 (c) 5 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40118340569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1 - 10) + 14)*15706\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 3459, -2, -3 in ascending order.\nAnswer: -3, -2, -1, 8, 3459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001069419294 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -16*x**2 - x - 6. Let s(g) = -15*g**2 - 8. Determine 3*l(y) - 2*s(y).\nAnswer: -18*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bab (base 14) to base 7.\nAnswer: 31504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h + 2. Let c(y) = -5*y - 1. Let k(o) = 5*c(o) + 3*p(o). Let l be k(-1). List the prime factors of (l*3)\/(6\/(-20)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -4*m. Suppose -f + 0*z + 72 = 5*z, m = 4*z + 8. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -75.1 (b) 156 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 19*i**2 + 40*i + 56. Is 3 a factor of a(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/4 (b) 33 (c) 1.04 (d) 0 (e) 2 (f) -4 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3799, -9663, -25583, -56587, -107703, -183959?\nAnswer: -290383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1690?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27404 + -13172. What are the prime factors of v?\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -283? (a) 0.3 (b) -0.5 (c) -2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n + 3*s - 77, -4*n + 104 = 3*s. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + i**2. What is w(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**6\/36 + 7*y**5\/120 - y - 2019. Solve n(h) = 0.\nAnswer: -7\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17562)\/(-8781)*2\/122.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1295)\/140)\/(-1*5\/((-180)\/9)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1\/3 (c) -1\/26 (d) 83454 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117052 = 47*k - 21*k. What are the prime factors of k?\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273a7 (base 12) in base 9?\nAnswer: 82221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/((5*sqrt(84) + sqrt(84) - sqrt(84))\/sqrt(7) + sqrt(12)))\/(-2*sqrt(490)*-1)*5.\nAnswer: 5*sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 995594730 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 5*d + 12, u = d. Let c be (-1)\/(-1 - (1 + u)). Let m(b) = 63*b**2 + 1. Is m(c) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-175))\/(2\/10). What is the third smallest value in -3, -6\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 18*r**3 - 22*r**2 - 1043*r + 22. Let j(a) = 10*a**3 - 12*a**2 - 522*a + 12. Give -11*j(g) + 6*m(g).\nAnswer: -2*g**3 - 516*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434539049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = 2*f + 16, -3*x - 2*f + 28 = 0. Let v be x - (-3 - (-219)\/24). Which is the closest to 21\/4? (a) -1 (b) v (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 10108.\nAnswer: 20216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 129. Let d(b) = 36698*b. Determine j(d(i)).\nAnswer: -36698*i - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c**(-10)\/c)\/c))\/c)**(-1\/3)*((c*c**(-18)*c)\/c)\/c*c\/c**(4\/7))**2 assuming c is positive.\nAnswer: c**(-302\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91256301 divided by -783.\nAnswer: -116547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g - 10. Let a(y) = y - 1. Let f(n) = 6*a(n) + l(n). Let c be f(-16). Solve 2*r = -2*p + 16, p - 3 + 0 = c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.919826um to nanometers.\nAnswer: 3919.826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-279*t + 1 + 6*t**2 + 151*t + 145*t)*(0 + 2*t + 0) to the form a*t**2 + y*t**3 + j + u*t and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.144 * 1.198\nAnswer: 0.172512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -27?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 41 - 12*v + 40 + 18*v as p*v + t + r*v**3 + w*v**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 736\/9 (b) -7\/3 (c) 2\/3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14420779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r**5 + r**4 + 4*r**3 + 9*r**2 - 5*r + 5. Let m(u) = 5*u**5 - u**4 - 2*u**3 - 5*u**2 + 3*u - 3. Let d(z) = 3*j(z) + 5*m(z). Factor d(g).\nAnswer: -2*g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 16) in base 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.3656372ns?\nAnswer: 0.00000000002276062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-3*q**4 - q + q) - 3*q**4 + q**4 + q**4 - 3*q**4 + 2*q**3 + 4*q**4 + 3*q**4.\nAnswer: 12*q**4 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/22 and 89\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 5*u + 3. Let n be x(-5). Find the common denominator of -11\/10 and n - 118\/(-24)*-3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 - 4*u**2 - 15*u**2 + 3*u**2 - 6*u**2 + 14*u**3 - 16*u**3.\nAnswer: -2*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 - 3*u + 3*u + (2*u - 4*u - u)*(22*u + 23 - 23).\nAnswer: -68*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from dozzozodzozodzzou?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 6*t + 5. Let h be o(-6). Let b = h - -145. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280697 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-14)*1407\/(-804)*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 8. Suppose 30 = 2*m - 4*r, 5 = 5*m + 4*r - 0. Is 6 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/3 - 10\/(-30). What is the remainder when 0 + -36*g\/6 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-14)\/(-4)*2\/14). Suppose x*y - 25 = -a + 3, -2*a = y - 21. Suppose 3*l = a*l - 520. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*g + 4 = -28, -2*g - 12 = -s. Which is smaller: s or 83\/6?\nAnswer: 83\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**3 + 17643*q**2 - 282060*q + 493556 = 0.\nAnswer: 2, 14, 17627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a factor of 439005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-3)*d**(3\/7)*d**6\/d*d assuming d is positive.\nAnswer: d**(267\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4975892km to centimeters.\nAnswer: 49758.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1466857959?\nAnswer: -1\/1466857959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrrkkrrkrrrrrkkkkk. Give prob of sequence krkk.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/60 - 7*n**4\/24 + n**3 - 151*n**2. Let c = 16 + -8. List the prime factors of v(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 40*c**2 - 447*c + 16. Is g(15) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3 + z**3 + 9*z + 5*z - 22*z + 10*z + 11*z**2. What are the prime factors of p(-10)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 204\/(-9) - (2 + 3\/1). Which is greater: 1\/3 or f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(10)\/sqrt(32))**2 + 1.\nAnswer: -27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12\/187 (b) 2 (c) -11\/2 (d) -71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -694 - -673. What is the common denominator of 51\/155 and i?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 879*c = -883*c - 3, 5*h - 2*c = 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 20*w - 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) - (sqrt(5) - (-1 + sqrt(5) + sqrt(5))) - sqrt(5)) + 4 + 2 - (4 + 0 + sqrt(180) - 4*(1 + sqrt(180)))**2.\nAnswer: -1617 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 10*m + 12. Let a be c(-9). Let b be 9\/(-9)*(-5 + -2 + a). Let z = 3 + 2. Solve z*p = 11 + 4, 10 = b*h + 2*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -348. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.4 + 20.4. Which is the closest to -0.2? (a) 4\/7 (b) -0.04 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6725 * -0.5\nAnswer: -3362.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596672217 a multiple of 5092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1199 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2*r)**(3\/10)*r\/(((r\/((r*r**(-6))\/r)*r)\/r)\/r)*r*(r**8\/r)\/r)\/(r\/(r\/r**(3\/2))*r**6*r)**36 assuming r is positive.\nAnswer: r**(-1514\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3198 (base 15) to base 7.\nAnswer: -42410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 1140.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 892067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (3 + -1 - 2). Suppose 0*p + w = -2*p + 53, 0 = -4*p - g*w + 109. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76751007?\nAnswer: 3, 25583669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 6:32 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -x - 124, 185*x - 154 = -3*h + 180*x. What is the remainder when 557 is divided by h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 + 24*a\/7 - 64\/7.\nAnswer: -2*(a - 8)*(a - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 24879, 0, 1 in increasing order.\nAnswer: 0, 1, 24879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 2. Let y be (-2 - -5) + (-4 - -1). What is the remainder when 4 is divided by q(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 21*p**2 - 38*p + 68. What are the prime factors of g(22)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/((-945)\/(-10))*7. Solve -5*p + 13 = -2*a, 6 = -t*p - 0*p - 2*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2673.8? (a) 10 (b) -3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152))\/(sqrt(12)\/(-2*sqrt(6))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 942458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 15, w: 4}. Give prob of sequence uu.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4354359 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1964 (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*v**2 + v - 68*v**2 - 43*v**2 - 310*v**2 as m + x*v + w*v**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 11*t**2 + t - 24. Let c be d(5). Let g be 18\/30 + c\/(-10). Let y(k) = k**3 - 6*k**2 + 4*k - 6. Give y(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 + 3.9. Let o = 10968\/133 + -578\/7. Which is the closest to -3? (a) 0.1 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.095*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 67355?\nAnswer: -67351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/21)*g\/g**(-12))\/(g**(1\/16)\/(g**(-4)*g)))**(-2\/17) assuming g is positive.\nAnswer: g**(-3707\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exe when three letters picked without replacement from {e: 6, d: 3, x: 2, q: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*n - 265*n - 266*n + 52 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = -r - 306. Is 26 a factor of 4\/r - (2820\/(-54) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -742438 divided by 3.\nAnswer: -742438\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-176))\/((-15)\/(-4)*(-3)\/(-15)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 1. Let k(s) = 11*s**4 - 6*s**3 + 23*s**2 + 6. Let h(y) = -6*a(y) + k(y). What is the third derivative of h(p) wrt p?\nAnswer: 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -692*i**2 + 11*i - 28. Let y(m) = -138*m**2 + 2*m - 5. Calculate 2*g(r) - 11*y(r).\nAnswer: 134*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1812 by 6.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/(-3)*(-21)\/(-49) - 155. Let i be 2\/(-6) - 1508\/(-6). Let y = i + f. Calculate the highest common factor of 33 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 48130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32660.\nAnswer: 2, 5, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 4*i**5 + 3*i - 31*i**4 - 8*i**5 + 31*i**4 + (-2 + 4 + 0)*(-i**5 - i**5 + i**5) - 42*i**5 - 4*i**5 + 5*i**5.\nAnswer: -47*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 50 (b) -13 (c) 3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7732760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -127086*s**2. Let h(x) = -5*x - 12. Calculate h(g(d)).\nAnswer: 635430*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 172794526 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 24 = 8*i, -i - 5*m - 5 - 44 + 8 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 73*z - 7. Let j be x(3). Suppose -41 = 3*g - j. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 4. Solve -u*n = -193 + 196 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 4, 5 = -5*j + 5*t - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**4 - 39*d**3 + 431?\nAnswer: 12*d**3 - 117*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-447*v + 1200*v + 507*v)*(1 + 1 - 3 + (3 - 3 - 1)*(2 - 5 + 1)).\nAnswer: 1260*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + 6\/(-21). Suppose -2*u + 4*v = u - 56, -2*u + 4*v = -36. Suppose 0 = 5*m + 25, m = 5*z - i*m - u. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 0. Let k = 0 + b. Solve 15 - 3 = r + 3*t, 5*r - 2*t - k = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2, 2573?\nAnswer: 2573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7082 + 7084.9. What is the third biggest value in -0.1, -0.4, -12, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -841 - -1041. What is the highest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-14)\/i*i))\/i*i**(-28) assuming i is positive.\nAnswer: i**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12020 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 6:24 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6585 * -54.95.\nAnswer: 361845.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, p: 3, i: 1, j: 2, g: 2}. Give prob of sequence bp.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - x**2 - 2)*(3 - 576*x**2 + 18 + 571*x**2).\nAnswer: 5*x**4 - 21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38991881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(55)\/sqrt(176)*-4 - ((5*(sqrt(125) + (sqrt(125) - sqrt(125)*-1)) - sqrt(125)) + (sqrt(125) - (sqrt(125) + sqrt(125) + 0 + -3)))**2.\nAnswer: -21134 - 396*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 410954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j. Let c be d(1). Let t(g) = -g - 5. Let x be t(-5). Suppose 8*y = -57*y - 65. Put c, x, y in increasing order.\nAnswer: c, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-2))\/((-19698)\/16884).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51, -92, -133, -174, -215?\n\"Answer: -41*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p - p**3 + 5*p)*(-93*p - 97*p + 26*p) as y*p**4 + a*p**2 + i + d*p**3 + s*p and give y.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254 + -255. What is the third biggest value in d, 5, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 + 388. Let a = r - 330. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 + 5*v**5 + v**5 + (-v**3 + v**3 - 3*v**3)*(-7*v**2 + 32*v**2 + 31*v**2).\nAnswer: -160*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 45 = 0. Let x = h + -5. What is the remainder when x is divided by (-9)\/(27\/(-4))*-3 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, g: 6, y: 4}. Give prob of picking 2 g and 2 m.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 3. Let a be n(10). Let p = 30 - 30. Suppose p = -z + 2*z + 5*g - a, 88 = 2*z - g. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940169 to the power of 1\/2, to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -542*f**2*g**2 + 34677*f**2 - 15*g**2 wrt g.\nAnswer: -1084*f**2*g - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 695 and 202092100?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q + 64 = 34*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -110236\/3095 less than or equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 3. Calculate the remainder when 18 is divided by n(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - l - 39, 2*z + 2*l - 118 + 56 = 0. Calculate the remainder when 289 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o - 137. Let i be k(20). Suppose -1036 = 4*v - 3*s, -1295 = -i*v + 28*v + 3*s. Is v at most as big as -258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q + 30 = 33*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:46 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/(f*(f\/(f*f**(-1)\/f*f))\/f*f))\/(f**5*(f*(f\/f**(1\/2)*f)\/f)\/f) assuming f is positive.\nAnswer: f**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/37, -13, 1\/4 in ascending order.\nAnswer: -13, -2\/37, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p + 35*p = -36 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 188 or 174?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 739357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3840)\/(-2850))\/(-16)*(-15)\/(-12).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*a + 154764 = 4460*a + 87524 - 91731 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13471 is divided by 4481?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 5032201555?\nAnswer: -5032201550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 33*m - 46. Let g(w) = -40*w + 48. Let t(k) = 6*f(k) + 5*g(k). Let i(b) = -b - 18. What is 13*i(p) - 6*t(p)?\nAnswer: -p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 64 = -5*l. Let y = l - 16. Let k be 9\/6*y\/(-60). Which is the closest to k? (a) 1 (b) 2\/7 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21278 + -1?\nAnswer: -21279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -21. Suppose -5 - z = -2*k. Let r be 12\/k*6 + 2. What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 plus -1469?\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 1 (c) 1\/213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187354716 divided by -3.\nAnswer: 62451572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 637 + 3*l - 638 - 4*l. Give x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017 times 19215.51?\nAnswer: 326.66367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, w: 3, a: 1, e: 1, c: 1, d: 2}. What is prob of picking 2 w, 1 a, and 1 e?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195 or 18571?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 6. Let d be m(0). Suppose 3*f = f - d, 0 = -3*u - 3*f + 45. Suppose -4*r + 51 - 7 = 0. Calculate the remainder when u is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 636753598 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(17) + (sqrt(85)*1)\/sqrt(5))**2*-6 + ((sqrt(204)*1 - sqrt(204))\/sqrt(12) - (1 + sqrt(68)\/sqrt(4))**2).\nAnswer: -429 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11892 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 4, -4\/7, -23, 1\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/13 or 33547?\nAnswer: 33547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 7\/1712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12398 by -12398.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 7. Let q = m - -9.4. Let t = -9 - -6. What is the second biggest value in t, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - 33*i - 23. Give j(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, 120 in descending order.\nAnswer: 120, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*z - 1117089 = -1132669 for z.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -14. Let y = 88 - 53. Calculate the highest common factor of j and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*x - 31*x - 43*x + 224*x.\nAnswer: 74*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/106? (a) -0.65 (b) 3\/7 (c) -3 (d) -2\/13 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 23*i**2 + 7*i + 12. Let n be f(7). What is the units digit of (-1 - n\/(-7)) + 102\/357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/((-14)\/(-63)). Let o = k - -6. Suppose -5*v + 56 = -4*w, -o*v + 5*v = 2*w + 24. Solve a = -3*a - v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168124924559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 7*s - 942*s**3 - s + 352*s**3 + 445*s**3 + 345*s**3.\nAnswer: 200*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (546\/(-45) - -12 - 205\/150*-2)*5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 11*u + 1. Let k be b(11). Let y = k - -1. Suppose -70 = -5*i + y*f + f, 0 = -5*i - 3*f + 40. Calculate the remainder when 32 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3831.65 and -412.\nAnswer: -4243.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/57612 and 59\/112.\nAnswer: 1613136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3776455 is divided by 64007?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(14\/2))\/(1\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.580891 times -5?\nAnswer: -2.904455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5 - 11. Differentiate 3 - 2*u - 5*u - 7 - q wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.8. Let w = -0.6 - f. Which is the smallest value? (a) w (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6565 divided by 5?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9477 + 9477.03. Which is the second smallest value? (a) 1 (b) 0.15 (c) 6\/7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvyyyjjvyjy. Give prob of sequence jv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3557752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide ((-390)\/(-104))\/(3\/2268)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23672, -47341, -71010, -94679?\n\"Answer: -23669*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -1\/6*z**3 + 0*z + 29*z**2 + 0. Let j(p) = p + 6. Determine j(f) + 4*s(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d**2 + 3*d)*(8*d - 55 + 55).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/3683 + -3701\/11049. Which is the second biggest value? (a) k (b) -1\/4 (c) -31 (d) 0.2 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. Suppose o + l*o + 3*f = 194, f = 4*o - 162. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*(-3)\/(-18)*-5\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 369200.3.\nAnswer: 1476801.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66960588 rounded to three decimal places?\nAnswer: 1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/50*490\/4. Let v = 149 + r. What is the remainder when v is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -44. Let a be 5\/15 + h\/(-2). Sort 5\/2, -19, a in increasing order.\nAnswer: -19, a, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -850 - -1699\/2. Let y = -3.9 + -0.1. What is the third smallest value in y, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24730507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/5 - 198*d**4 - 8074*d**3\/5 + 13014*d**2\/5 + 32264*d\/5 - 36216\/5 = 0. What is d?\nAnswer: -9, -2, 1, 2, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/8 + (-3339)\/(-14) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(91)*-2)\/(sqrt(49)\/(sqrt(21)\/sqrt(3)) + sqrt(7)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-630)\/165) + 114\/22. Let q(x) = 7*x**2 - 4. Let t = 6 - 2. Let b(s) = -8*s**2 + 5. What is m*q(p) + t*b(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 416\/(-16) + 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - (6 + 71 - 117)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34788*m + 3836*m + 5301*m.\nAnswer: -25651*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 12*o**2 - 13*o - 5. Let s be g(13). Put 1, 3, s in increasing order.\nAnswer: s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 4 - 4 + (-q**5 - q**4 + q**4)*(-1 + 1 + 1) + 0*q**5 - q**5 - 4*q**5.\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -52*a + 266 + 1622 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-15) - (-14)\/5. Suppose 0 = -0*i - j*i + 132. Let n(t) = 18*t - 7. Let s be n(1). Calculate the highest common factor of s and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 16*v - 15. Let w be g(3). Suppose w = 6*z + 15. Suppose -775 = -z*b - 2*b. What are the prime factors of b?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*(o\/(o*o*o\/(o*o*o*(o\/o**(-25))\/o)*o*o*o))\/o)*o*o\/o**(-17))\/(o**(-2\/3)*o**10) assuming o is positive.\nAnswer: o**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 24*t + 82. Calculate d(-13).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74350079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/8 + 12741\/548. Solve 2*y + k = -5*o, 5*y + 5*o + 15 = -10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 18*w + 1. Calculate s(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -5 (c) 8 (d) -0.4 (e) 4 (f) -5\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -77761*l - 813. Is v(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m - 80. Let q be g(-14). Suppose q*l = 1509 - 25. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.14909 and 0.\nAnswer: -0.14909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 66 - 70 = 0. Let f = z - -36. Find the third derivative of 6*o**3 - 4*o**2 - 7*o**2 + 23*o**f wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-55)*(-1309)\/(-238).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18254, 21665, 25076, 28487, 31898, 35309?\nAnswer: 38720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + v + 1. Let f(r) = 8*r**3 - 4*r**2 - 5*r - 5. Calculate -f(p) - 5*x(p).\nAnswer: -3*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - 3 - 4*z**2 + 2 + 2*z**2 + z**3 as q*z**3 + j + p*z + y*z**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 316 + -218. Let o be d\/(-4)*(-8 + 6). What are the prime factors of (-3)\/6 + o\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98, 250, 500, 896, 1486, 2318, 3440?\n\"Answer: 8*n**3 + n**2 + 93*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 5, 0, -8 in descending order.\nAnswer: 5, 0, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = -3. Calculate the common denominator of (1\/b)\/((-3)\/(-214)) and 51\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/176 and 73\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (47 - 67) - 74.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 125811833670456?\nAnswer: -125811833670453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 454*c - 457*c + 12, -28 = -4*c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 150 - 145. Suppose 10*i - 9*i = -b + c, -3*b = 12. Let f(q) = q**2 + 2*q. Let x be f(-3). Solve 0 = i*a - x*u + 2, -a = -0*a - 2*u + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -38. Suppose 5*d = 2*u + 4*d - 5, -2*u + a*d - 10 = 0. Suppose 0*p - u*s = -2*p + 117, -4*s + 20 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c + 122. Let x(u) = -19*u**2. What is x(z(k))?\nAnswer: -931*k**2 + 32452*k - 282796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50138.22513 less than -0.05?\nAnswer: -50138.27513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.7. Suppose 4*y + 3*f = -13, -y - 17 = -f - 12. What is the third smallest value in 4, 6\/11, y, k?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1. Let q(m) = 2*m - 6. Let g(c) = -6*a(c) + q(c). Let b(h) = 2*h**2 + 12*h + h**2 - 12*h. Calculate g(b(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 17\/4*w**4 - 3\/4*w**5 + 8*w - 4 + 0*w**2 - 7*w**3 = 0. Calculate w.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -62*y + 85. Determine x(-4).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-2 + 1))*-14. Find the first derivative of -4 + 0 - 11*y**2 + q*y**2 wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from ekkyyeyekkneeeevyv?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1955*n**2 + n + 1955*n**2 + 1113723*n**3 - 1113710*n**3.\nAnswer: 13*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -191198\/3867 bigger than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 27*o - 27. Does 14 divide v(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1715 + -114\nAnswer: -1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + ((sqrt(832)*2 + -5)**2 - 2*(sqrt(832)*2)**2))*-4.\nAnswer: 640*sqrt(13) + 13180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-108))\/(4\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -478*f + 446*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 27*x**2 + 8*x - 63. Let f be r(10). Suppose 0 = -6*m + 733 + f. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20033300 - -2?\nAnswer: 20033302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5469609.63 rounded to the nearest ten thousand?\nAnswer: -5470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100122212 - 10?\nAnswer: -1100122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 154217406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/100 and 111\/1391120?\nAnswer: 6955600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5955*n**2 - 2779. Let d(w) = 2*w**2 + 1. What is 8337*d(c) + 3*g(c)?\nAnswer: -1191*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405402 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**2*s - 41*l**2 - 2*l*s + 4*l + 341*s - 8 wrt l?\nAnswer: -4*l*s - 82*l - 2*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -14, 5 in descending order.\nAnswer: 12, 5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/25 + (-6)\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 s, and 1 j when three letters picked without replacement from {o: 1, c: 6, e: 1, s: 4, j: 1, a: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 30765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/(-15) + (-4 - 3) + 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2352.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 - 146. Find the third derivative of -19*z**2 - 50*z**2 + 5*z**4 + 5*z**3 + p*z**2 wrt z.\nAnswer: 120*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0605727859 rounded to 5 decimal places?\nAnswer: -1.06057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvvvvvvkvkvvkk. What is prob of picking 1 k and 2 v?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-42) + 0)\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1331739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000943295 to 7 dps.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162097, -324180, -486263?\nAnswer: -648346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-14 - -7) - (-1 + -1 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13696 (base 12) to base 14\nAnswer: -9b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 62 = -s, 5*p + 3*s + 2*s = 70. Let b be 9\/4 - (-6)\/(-24). Let a(n) = -10*n**2 + 18*n**2 - p*n**b. Let y(u) = u**2. Calculate y(a(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113 (base 5) to base 8.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 507 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-1 - 1))*(-2)\/(-2). Let q be 3 + o - (-2)\/(4\/1330). Let z = 238 + q. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 1, -6856?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/8 - 3039*p**4\/2 - 52890905*p**3\/8 - 49564626625*p**2\/4 - 17038473147375*p\/2 - 8506852026875 = 0. Calculate p.\nAnswer: -4985, -2390, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdbz when four letters picked without replacement from bzlxdxxxxxbbzdbx?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 4*k)*((2 - 3 + 3)*(3 + 2 - 4) + 0 + 1 + 11)*(-9 - 79 + 3).\nAnswer: -3570*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -330, 9, 682, 1803?\nAnswer: 3486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -132*r + 830 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 10*t**2 - 2*t + 9 - 9*t**2 to h + k*t**2 + w*t and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + z - 2*z. Let s(h) = -3*h**2 + 2*h + 2. Let c(o) = -11*o**2 + 9*o + 9. Let w(q) = -2*c(q) + 9*s(q). What is w(b(p))?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (60268\/304)\/((-2600)\/1600)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6036 + -6035.87796. Let s = f - 0.23193. Let g = -0.11 - s. Round g to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (615950 + 568*c**2 - 615950)*(c**2 + c**2 + 0*c**2) to the form i*c**4 + s*c**3 + y*c**2 + r*c + b and give i.\nAnswer: 1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585704715 divided by 5.\nAnswer: -117140943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*x - 129 = 0, -5*p - 3*x = -2*p - 129. Suppose -2*i - 12 = -3*i. Let j = p - i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-2*(7\/2 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 1. Let s = -13 - -10. Let h be 37\/s + 1\/3. What are the prime factors of d(h)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -19*f + 33. Give k(7).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4 - 53220318*u**3 - 314711343151128*u**2 - 620334557038483295778*u + 620334871749879667227 = 0. What is u?\nAnswer: -5913369, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + j - 16, -4*m + 6*m = 2*j + 4. Let l(t) = -7*t**3 - 6. Let c(z) = 6*z**3 + 5. Suppose -4*w = -6*w + 10. Determine m*c(a) + w*l(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/207925 and -52\/115.\nAnswer: 4782275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6541\/580 + -4\/145. Calculate the common denominator of l and -11\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121562, 121570, 121578?\nAnswer: 121586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.24 - -2.03. Let l = c - -0.73. Sort l, 0.1, -5, -0.9 in descending order.\nAnswer: l, 0.1, -0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 35*k**2 - 200*k + 22. Let a be y(28). Which is smaller: a or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w - 1764 + 1764 - 8*w**2 + 9*w**2. Let q be m(-7). Solve 4\/5*j**2 + 1\/5*j**3 + q + 3\/5*j = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0*o**3 + 1\/8*o**4 + 0*o + 7*o**2 + 0 + 0*o**5 - 1\/40*o**6. Find m, given that d(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6 + 3. Let u(v) = v**3 - 4*v**2 + 11 + v**2 - 3*v - 5*v**2. Let q be u(c). What is the greatest common divisor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**3 - 5*r**2 - 13*r - 4. Let m(w) = -w**3 + w**2 + 1. Let y = -3134 - -3135. Determine y*c(i) + 5*m(i).\nAnswer: -i**3 - 13*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.873 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51.7 and -6?\nAnswer: -310.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i - 1. Let x be y(8). Let m = x + 25. Suppose u = 0, 3*t + u = -m*t + 24. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115042634?\nAnswer: 2, 7, 8217331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8 (b) 4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in -2\/59, -6\/17, -1\/6, -0.48, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (14439 + -6 + 12 + -6). Is v at least -14441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134433 (base 5) in base 13?\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/15)\/(2\/(-235)). Suppose -168 = 87*m - r*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5)\/((t\/(t*t\/((t\/(t\/t**(-2\/11)))\/t)))\/t*t)*(t\/(((t**6*t*t)\/t)\/t)*t)\/t**(3\/5))**(-39))**(-1\/5) assuming t is positive.\nAnswer: t**(-1209\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -0.02 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 221*i**3 + 19 + 55*i + i**4 - 25*i**2 - 57*i - 221*i**3 as j*i**3 + t*i**4 + c*i + n*i**2 + k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -0.1 (b) -0.8 (c) 1\/2 (d) -187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u + 70. Let i be l(21). Suppose 19 - i = 6*g. Solve 0 = k - g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 1885 + 1877 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-69219)\/(-12) - -2 - (-1)\/(-4). Suppose 4*x - 10610 = -2*u + 12536, -5*u = -x + t. Suppose -4484 - x = -9*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 462528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/3 + 925*z\/3 - 8568 = 0. What is z?\nAnswer: -952, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/136)\/(5\/6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -11*h - 15*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 - 5*w - 4. Let g(c) = c**3 - 3*c**2 - 4*c - 3. Let j(x) = -3*f(x) + 4*g(x). Give j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23208)\/(-32)*4\/(-6)*-2. Suppose 7*z - 92 = -v. Let j = -88 - z. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 9*h + 10. Suppose 5*x = -h*g + 895, -5*g + 910 = -2*x + 7*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -9 + 27. Let a be 4\/b - (-60)\/27. List the prime factors of a + 1 - 52\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3806, -3451, -3094, -2735, -2374?\nAnswer: -2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8ba56 (base 12) to base 7.\nAnswer: 1404306","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a - 49*a**3 + 25*a.\nAnswer: -49*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -343\/4 + 167\/2. What is the common denominator of r and 143\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4170 - -4172.30064. Let w = -590.3 - -588. Let p = j + w. Round p to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 times -20043\nAnswer: -320688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 7*a - 5. Let v be i(5). Let j = v - -6. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 70. Give z(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20 - 15 - 16 + 67 - 27*p**2 - p wrt p?\nAnswer: -54*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 840?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-3 - 1) + 6). Let n(b) = -15*b + 14. Let l be 1 - 5 - (-6)\/2 - 1. Let c(k) = -k. Let p(z) = l*c(z) + u*n(z). Differentiate p(i) wrt i.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/192 and 113\/360.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c - 13*c + 187*c**2 + c + 4.\nAnswer: 187*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-6)\/(-39) + 1179\/(-702). Is v < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 26*z = -28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u - 3. Let j(m) = m**2 + 4*m + 5. Let b be j(-4). What is the tens digit of p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -248*h*p**3*v + 3*h*p**2*v - 37*h*p + 2573*p**3 - 79*p*v with respect to h.\nAnswer: -248*p**3*v + 3*p**2*v - 37*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*f**4 - 924*f**3 - 144*f**2 + 896*f = 0.\nAnswer: -1, 0, 28\/29, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 - (3 - 4\/2) is divided by (((-8)\/14)\/((-10)\/175))\/(10\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3165 and 14800595.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-3 + 1 + 16 + -8 + 20 + -15)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.17 + -0.17. What is the second biggest value in -0.5, -4, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*g**2 + 197*g**2 + 198*g**2 + 269*g**2 + 201*g**2 - 1070*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2))**(-4\/9))**(-4\/15)\/((y*y*y**(-8)*y*y*y)\/y**(-4)*(y*(y*y**1)\/y*y)**(13\/4)) assuming y is positive.\nAnswer: y**(-1871\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-4)\/((-20)\/7). Suppose 0 = 5*g - 3 - 17. Suppose 2\/5*f + 0 - 2\/5*f**3 + x*f**2 - 2\/5*f**g = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and (-1140)\/(-54)*((-12)\/50 + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 18*b - 29. Let r be a(-17). Let k = 19 + r. Let x = k - 3. Sort x, -10, -4 in descending order.\nAnswer: x, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o + 6. Solve 0 = -5*b - 5*n + 10, -3*b - o*n + 2 = -2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -34*s + 4. Let q be i(-5). What is the common denominator of -38\/3 and ((-29)\/q)\/(36\/34 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 253.3.\nAnswer: -2026.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-10)\/(-6)) + (4 - 4). Let f be (-16)\/104 + 70\/117. Let s = w + f. Which is the closest to 0.1? (a) -4 (b) -13 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-4))\/((b\/b**(3\/7))\/b*b)*b*b**(-6)\/b*b**8 assuming b is positive.\nAnswer: b**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b = 28*b - 9*t + 75196, -3*b - 5*t = -56390. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -335 - -338. Let w(d) = n*d**3 + 10*d**3 + 15625 - 15624 - 2*d**2. Give w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/5 + 224*s**4\/5 - 2694*s**3\/5 + 12104*s**2\/5 - 22304*s\/5 + 12672\/5 = 0.\nAnswer: 1, 4, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 1\/2 (c) 4\/9 (d) 2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 11 = -3*p - 12*h, 3*h + 13 = 2*p. Suppose -p*v = 78 - 58. Sort v, 1, -2 in increasing order.\nAnswer: v, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 14*c**2 + 10*c - 11. Calculate m(11).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1743.231 centimeters?\nAnswer: 17.43231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**26)\/k)\/k**0 assuming k is positive.\nAnswer: k**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1a93 (base 13) to base 16\nAnswer: fa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5196 and 9526?\nAnswer: 57156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + (39\/(-117) - 33\/(-108)). What is the fifth smallest value in 0.3, k, 2, -2\/3, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*n + 3)*(-3*n - 4*n + 5*n) + (n - 4*n + 2 + n)*(-2 - 9*n + 2).\nAnswer: 22*n**2 - 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmmsmqelmmmmmmmm. Give prob of picking 2 m and 1 f.\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 1, -25, -57?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t**2 - 4. Let j(y) = 26138*y. Calculate z(j(v)).\nAnswer: 10247925660*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5728039604 to the power of 1\/5, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 542610236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*a + 1 + (2 + 1 - 1)*(-3*a + 4*a - 4*a) + (-2*a + 4*a - 4*a)*(-1 - 1 + 0) + 1 - 1 + 2*a as r*a + f and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 3*f**2 + 13*f + 4. What is g(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q + 18 = -4*o, 4*q - 3*o - 33 = 0. Let l be q\/4*(-92)\/3. What are the prime factors of 15\/(-25)*(l - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 266382*c**2 + 266391*c - 532770.\nAnswer: -3*(c - 88795)*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwd when three letters picked without replacement from {w: 3, d: 13}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692345577.\nAnswer: 13, 130180429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3) + 3 + 2. Suppose -u*n - n = 25. Suppose -4*p = -3*i - 2, -3*p + 5 = -3*i + 2. Sort n, p, -3.\nAnswer: n, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 5*l**2 + 8*l + 3. Give g(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5\/6))**18*y*y*(y\/(y*y**(1\/9)))\/y*y**6 assuming y is positive.\nAnswer: y**(359\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -142, -122, -116, -130, -170?\n\"Answer: -x**3 - x**2 + 30*x - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28542 - 16529. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*t**5 - t**5 + t**5 + (-2 + 2 + 2*t**2)*(-2*t**3 + t**3 - t**3).\nAnswer: 23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 42889408184.\nAnswer: 42889408186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11630*v**2 + 181579*v wrt v.\nAnswer: 23260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + ((-73679)\/(-10) - -1). Suppose -9*x + 21*x + 88356 = 0. Let i = x + q. Find the common denominator of 9\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(612))\/sqrt(12))\/(sqrt(3) - 2*sqrt(3)*-2) - (-2*sqrt(102)*-6)\/((sqrt(42) - sqrt(672))\/sqrt(7)).\nAnswer: 19*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -708046\/39 - -18156. Let c = 4\/13 - r. Let x = -0.1 + 0. What is the nearest to x in c, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*k + 250, 3*k + 2*q - 151 = -0*q. What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 611690.7 minutes?\nAnswer: 36701442000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4687 - 1235. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/5)\/(34\/10). Let x = 300 - 330. Let r = 27 + x. What is the biggest value in -1, r, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2)*(2 + 0). Suppose -7 = -3*b + 5*f, s*f - 18 = -4*b - 0*f. Let q = 2535 + -2534. Solve b = 3*w + q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351895589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/45*10)\/((81\/42)\/9).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 6373 - 6165. What is the smallest common multiple of 130 and y?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0439 - -1.0439. What is the closest to l in 2\/3, -18, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1707428 by 853714.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(68) - sqrt(68) - sqrt(68))\/sqrt(4) - (5 + -1*(sqrt(17) + sqrt(17)*5))**2.\nAnswer: -637 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2038*k - 76992 = -5662 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3491.\nAnswer: 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-8))\/(-2 + 3). Suppose -m - 5 = -j. Suppose -j - 2 = -5*v. Solve q - 3 = -2*z, -5*z - 1 = -q + v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.5 and -6460.\nAnswer: 16150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1*v*v*v**35*(v**(1\/7)*v)**(2\/7) assuming v is positive.\nAnswer: v**(1878\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -25*d - 62. Calculate the remainder when b(-22) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/12*-5)\/((-9)\/12). Find the second derivative of a + 47*l + 0 - 33*l - 18*l**3 - 15*l**4 + 16*l**3 wrt l.\nAnswer: -180*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6399\/9*(3 - -5).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z. Let w = 159 - 139. Let h be (-1134)\/(-147) - 2\/(-7). Let x(v) = 12*v - w*v + h*v + 3*v**2. Calculate a(x(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13509 + 13509. Solve 4*u - i + 14 = r, 14 = -2*u + 5*i - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 14414598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3726785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12939.1 plus 0?\nAnswer: 12939.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1682*z**3 - 1670*z**3 + 2881*z**3.\nAnswer: -471*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-81)\/(-12)*((-112)\/6)\/(-7). Factor -w + 130*s + 40 + 55*s**2 - 22 - 5*s**3.\nAnswer: -5*s*(s - 13)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -4, -4*k - 2*p = -40. Suppose 17090 = k*z + 6338. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 8:01 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -13*k - 15. Calculate the remainder when 332 is divided by p(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from zzppzppzzzppfz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {r: 4, q: 1, d: 1, z: 9}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 12*b - 6. Suppose -25 = 3*o - 16. Let q(k) = k**3 + 6*k**2 + 23*k + 11. Let a(p) = o*q(p) - 7*g(p). Solve a(v) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*y**3 + 180*y**3 + 3*y**2 - 87*y**3 + 2*y + 4 to the form r*y**3 + q*y**2 + p + s*y and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r + 0*r)*(3*r**2 - 5*r**2 + 3*r**2) + 708*r**3 + 447*r**3 - 338*r**3.\nAnswer: 816*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 27 + 15 = 0. List the prime factors of 230\/t*(-48)\/(-30).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 2*a - a + 1 - 1 + a + (-3 + 4 - 2)*(0 + 0 - 2*a) - 1 - a + 1 - a - 2*a + 4*a + 2*a - 1 + 1 + (2 - 2 + 1)*(0*a - 3*a + 0*a) - 4*a + 0*a + 2*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-9\/2)))\/(u*u\/u**(2\/23)*u))\/(((u\/u**(-13\/5))\/u)\/(u**(-3\/10)\/u)) assuming u is positive.\nAnswer: u**(-266\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b + 27. Let k be o(-9). Suppose 5*l - 370 = -k*l + a, -355 = -5*l + 4*a. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from {k: 7, j: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3606, 3\/4, 0.4, -82, 8\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 8, -7, 2\/11, -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -301469 + -24?\nAnswer: -301493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r = -3*i + 11544, -2*r = -i - 4622. List the prime factors of r.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 3. Let w be u(-5). Let l(n) = -n - 12*n**2 - n**3 - 6*n**2 + 11*n**2. What is the units digit of l(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46764, -5, -4 in descending order.\nAnswer: 46764, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-80)\/(-12))\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 6. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62086533.\nAnswer: 3, 17, 131, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-6 + 3)) + -3 + (3 - -9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:44 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/17 + 916*q\/17 - 104882\/17 = 0. What is q?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2*23\/92*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*n + 4, 3*i = -3*n + 1 + 2. Suppose 2*l + 4*z = -4, -4*z - 8 - 4 = i. Calculate the common denominator of (8\/20*5)\/(25 - l) and 49\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44288479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -227812 - 0.2\nAnswer: -227812.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2261?\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 21*m**2 + 299*m + 65. Give o(-31).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 4, g: 3}. Give prob of picking 2 c and 1 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -212263, -212262, -212259, -212254, -212247, -212238?\n\"Answer: m**2 - 2*m - 212262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (135\/315)\/((-9)\/(-273)). Calculate the highest common divisor of m and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 253513?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 3*s + 57. Let t be a(9). What is the second derivative of 12*x + 86*x**t - 16*x - 1 + 17*x + 4*x wrt x?\nAnswer: 516*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41452198 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.620712 rounded to 2 decimal places?\nAnswer: -39.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2\/3 - 1223500*j\/3 + 1223498\/3 = 0?\nAnswer: 1, 611749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 786*c - 51483.\nAnswer: -3*(c - 131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 s when four letters picked without replacement from {s: 5, c: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 124112767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1546 + 17.2?\nAnswer: 17.3546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*c**2 - 3*c**2 + 15*c**2 + (29*c - 15*c - 17*c)*(11*c - 10*c + 9*c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1368)\/(-1026) - 7\/3. Is o >= 1\/390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4470?\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w*((w\/w**(-2\/5))\/w*w)\/w*w*w)\/w*w\/(w\/(w*w**(-2\/21))) assuming w is positive.\nAnswer: w**(557\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -759 + 33*w - 38*w + 5*w + 4*w**2 - 738 to the form i*w**2 + n*w + z and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 11*x + 14. Let r be v(9). What is the highest common factor of 56 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1156224\nAnswer: -1\/578112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-18)*3*(-54)\/(-198).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1431 and 229608.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 228, 2, 121, -4 in decreasing order.\nAnswer: 228, 121, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -6. Let t(d) = 2*d**3 - d**2 - d - 2. Let u be t(-2). Let l = -25 - u. Is o at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1555, -2091, -2641, -3211, -3807, -4435?\nAnswer: -5101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23\/41690, -14, -2?\nAnswer: -23\/41690","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58*f*j*k*t**2 + 391*f*j*t**2 + 24*j*k*t**2 - 7*j*t + 7*k*t**2 + 3 wrt f.\nAnswer: 58*j*k*t**2 + 391*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 253, 235, 217, 199, 181?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t**5*(t**5\/t*t)\/(t**(-6)*t))**(1\/8) assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 = -3*j + 10, 0 = 3*m + j - 12. Suppose m*i + 1071476 = -4130242. Let x = i - -1053906. What is x rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2351367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 103402?\nAnswer: 103411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4.2768 * -2.9\nAnswer: 12.40272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.35 - -0.05. Let h = -1 - -5. Let p = h + -2. Which is the smallest value? (a) 2\/3 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:39 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 3*y - 4, 2*k + y = -2*y - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4*-3)\/((-84)\/7)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1034)\/(-198))\/(-47)*(-18)\/2*10\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/13 - 4\/117. Let z = -19 - -17. What is the biggest value in 3, z, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 77608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1042820 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 25*d + 19. Let b(x) = -x**2 + 12*x + 10. Let w(h) = 5*b(h) - 2*l(h). Give w(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 59, 87, 115, 143?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.71 - -1.29. Let t be 14\/4 + (-4 - -2). Which is the closest to -0.1? (a) t (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjepclnlp. Give prob of sequence lnl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9663, -109, 0, -4, 3, -1.\nAnswer: -109, -4, -1, 0, 3, 4, 9663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 13 = -j, -5*j - 14 + 4 = -5*s. Put -3, -2, s in decreasing order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 6. Suppose h - v*h = -30. What is the remainder when 17 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 25 = 0, 6*t + 3*g - 35 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 79 - -427?\nAnswer: 4a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + i - 5, -10*d + 24*i + 21*i = 43*i + 27 - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15128844 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + 4 - 243\/27) + (-40)\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2\/61, 2 in decreasing order.\nAnswer: 2, -2\/61, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - 86 - (-4 + -15 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22640 and -5.3.\nAnswer: 119992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2239 and -0.1996.\nAnswer: -0.04469044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6917.\nAnswer: 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 184211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 439217?\nAnswer: -8\/439217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(252\/(-9)))\/7\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9757, -19656, -29555, -39454?\n\"Answer: -9899*h + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122361.11 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 4)*-2)**2 - (3 + sqrt(77)\/sqrt(7))*1.\nAnswer: 319*sqrt(11) + 4461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 4. Solve -3*y + 5*y = w + 2, -5*y = -x*w - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((5 - -1) + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*z - 29*z = 31*z - 203*z + 14640 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2428171*o**2 + 8*o - 8*o.\nAnswer: -2428171*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4385, 75, -1, -2.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -0.4, -32, -3 in descending order.\nAnswer: 1, 0, -0.4, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (0 - ((-3 - -22) + -102))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 12. Let x = 0.8 + 2.2. Is x smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 92 = 68. Let j be 10\/(-4)*(a\/20)\/(-2). Is j at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/6 + 589*z**4\/6 + 5219*z**3\/6 - 589*z**2\/6 - 870*z = 0. What is z?\nAnswer: -580, -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.4*0.06.\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(-4\/11))*k**1 assuming k is positive.\nAnswer: k**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 67652?\nAnswer: 338260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * 113.\nAnswer: 15.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13088, -26303, -39644, -53111, -66704?\n\"Answer: -63*k**2 - 13026*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -211*w**2 - 212*w**2 + 24*w - 72 + 421*w**2.\nAnswer: -2*(w - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*k - 123 - 297. Let d(p) be the second derivative of 5\/24*p**3 + 0 + 14*p + 5\/4*p**2 - 5\/48*p**k. Determine m so that d(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 2. Let w(z) = z**2 - 6*z - 5. Let a be w(7). Let r(y) = 3*y**2 - y**h + y**a - y**2. Let l(c) = -c. Calculate l(r(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*17 + -6\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/13)*h\/h**(-4))\/(h\/(h*h**6*h)*h*h**(-4)))\/((h**(-1\/4)*h)**(-8\/9)*h**(-3\/2)\/(h\/(h*h**(-5)\/h*h*h))) assuming h is positive.\nAnswer: h**(1663\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 93110*d - 6. Let c be b(-8). Let j = c - -1049890. Suppose 3 = 5*o - 2*o, 0 = 5*f - 4*o + j. What is f rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -532 - -2615724?\nAnswer: 2615182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**3 - 4*j**3 + j**3.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 405\/81 - 4\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 9*h - 197. Calculate y(-13).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*c + 80*c - 48. Let p = 79 - c. What is the highest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*u + 23. Suppose -5*b = -15, 0*v + v + u = 3*b. Let s be v*(-1)\/7*-1. What is the closest to s in 5, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66223.04 litres in millilitres?\nAnswer: 66223040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -895 (base 14) to base 8\nAnswer: -3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -3\/4, 100, 4, 9, -2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j - 141 = -243. Let w(d) = 5*d**3 - 2*d + 1. Let c = -14 + 15. Let b be w(c). Solve -j*a + 2 = -b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2400 and 38?\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25446991 to the nearest integer?\nAnswer: 5045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*l = 148*l + 84. Suppose -2*n + 4*k = -18, 2*k + 3 = -n - 0*n. Suppose 4*r - 11 = -4*o + 9, n*r = 3*o - 9. Put r, l, -2, 2 in decreasing order.\nAnswer: 2, r, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 1. Let m(v) = v**3 - 5*v**2 - 5*v - 5. Let d be m(6). Suppose -22 = -g - 4*h, 19 = -3*g + 5*g + 3*h. Let b(a) = -4*a. Determine d*b(n) + g*x(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492062781 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q + 2 - 10*q - 49*q - 52*q.\nAnswer: -81*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -15, -3, 27, 81?\n\"Answer: o**3 - 7*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 287682*u + 2013872 = 0. Calculate u.\nAnswer: -7, 143848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b + 1. Let q(x) = 45*x + 572*x**2 - 7*x + 576*x**2 + 577*x**2 - 1723*x**2. Calculate f(q(p)).\nAnswer: 14*p**2 + 266*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 34*m**2 + 2135*m - 455. Determine y(-63).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116219515 equal to 116219515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**3 + l**2 - 1. Let o be c(-1). Suppose -n - 4028 = -o*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -14. Let d = 1 + 2. Suppose -g - 4*t + 8 = -9, 0 = -d*t + 9. What is the second biggest value in q, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -4?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10\/181 - 3328\/1267. Let c = v - -47\/21. Let l be 2\/(-8)*(-24)\/21. Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 1767 - 1761 - 6*s**2 + (0 + 0 - 2*s)*(2 + 0*s + 0*s - s).\nAnswer: -4*s**2 - 4*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 16435*s + 17660*s + 11)*(2 - 1 + 1).\nAnswer: 2450*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -39*i**2. Let f(t) = -t**2 + 2. Calculate y(f(v)).\nAnswer: -39*v**4 + 156*v**2 - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1501 - 838. What is the highest common divisor of u and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 51212444.\nAnswer: 51212444.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.2 = 382920956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 14*m**2 + 3*m - 3. Suppose 0 = 5*d - 3 - 2. Calculate the smallest common multiple of (1 + -3)\/(d\/(-4)) and u(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 12*j**2 - 5*j)*(-j - 2*j - 2*j)*(-1 + 0 + 2).\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 32939*q + 65879. Give p(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 57 = 4. Let x = a + -34. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374877, -1499645, -3374269, -5998755, -9373109, -13497337, -18371445, -23995439?\nAnswer: -30369325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 2*z)*(2*z**3 + 0*z**3 - 3*z**3) + (-19*z + 15*z - 71*z)*(2*z + z**3 - 2*z) + (2*z + 2 - 2)*(0 + 0 + 2*z**3).\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*i**2 + i - 39*i**2 - 4 + 23*i**2 + (-3*i + 3*i + i)*(2*i - 3*i - i) + 2*i - 2*i + i**2.\nAnswer: i**2 + i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 73 + 3 - -1. Let l = y + -48. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(272)*-1 + ((1 + sqrt(272) - sqrt(272)) + -2)**2 + 5.\nAnswer: 6 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 4*x + 5. Let w be o(4). Suppose -99 = -4*d - 2*t + 35, 4*d + w*t - 125 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 7, p: 8, e: 3}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-50)*-18*(-30)\/(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16156, -64575, -145258, -258205, -403416, -580891?\n\"Answer: -16132*h**2 - 23*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, j: 1, v: 4, p: 10, h: 1}. Give prob of sequence ovpo.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18670)\/(-25)*35 - (-2 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 4*c)*(2 + 2 + 7)*(0 + 0 - 2*c)*(0 - 3 + 2)*(0 - 1 + 2).\nAnswer: 66*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - l + 16 - 13.\nAnswer: -l - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-180)*-99*-3734. What is a rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 352866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2358 + -2355. Solve k*d + 14 - 2 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/10)\/((-4)\/(-30)). Suppose 4*x - 20 + 3 = 3*j, -5*j + 4*x - 23 = 0. Let h = s + j. Solve 2*y + 22 = -5*b, 2*y + 2*y - 8 = h*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = c + 255, 2*j - 256 + 732 = -3*c + 387 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/9 - 23299*l\/3.\nAnswer: l*(l - 69897)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8194, -20443, -32692?\n\"Answer: -12249*t + 4055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 - 6*v + 7. Let w(f) = 9*f**2 - 11*f + 13. Let q(t) = -11*h(t) + 6*w(t). Let b be q(-1). Let i = 687\/5 - 137. Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 + 2*b**2 + b. Let u be z(-1). What is the units digit of 9 + (2 - 1)*u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 2*f**3 - 10*f + 7*f**4 + f**4 + 8*f + f**2 to the form j*f + d*f**3 + x*f**2 + v*f**4 + i and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let z be (-30)\/8 - (-8)\/(-32). Let h be (-4 - 5\/(-2))*z. Let c(r) = 0*r + r + h*r + r. Give c(u(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/((-20)\/24*-11*32\/704).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 30866\/(-385) + 21 + 29?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -2719, -9228, -21903, -42796, -73959, -117444, -175303?\nAnswer: -249588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131993, -263990, -395989, -527990, -659993, -791998?\nAnswer: -924005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6.1. What is the closest to d in 0.5, -2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 674 - 366. Calculate the highest common factor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*q = 129*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1691516426 and 387.\nAnswer: 1691516813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - p**2)*(-1186*p - 1352537 + 1352537)*(0 - 4 - 1).\nAnswer: -5930*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000240847183 to seven dps.\nAnswer: 0.0002408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -33.344. Let q = -27.5 - -26. Let p = q + d. What is p rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-2\/7)*b))\/b)\/(b**6*b))**(-13)*(b**(-1\/16)\/(b*b**(-2\/9)*b))**(-6\/23) assuming b is positive.\nAnswer: b**(389359\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*n + 1143 - 1143 + 2535*n to the form b + u*n and give u.\nAnswer: 2669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (168\/(-165) - 14\/77).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2572*1.873\nAnswer: -4817.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152.8 + 177. Round g to zero decimal places.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762970?\nAnswer: 2, 5, 13, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -2*k - 27. Let h = -28 + k. Suppose -h = g - 44. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 43*m**3 - 31*m**2 + 84*m - 32. Let z be l(5). Which is smaller: 4989 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -49, -34, 4, 5 in descending order.\nAnswer: 5, 4, 0, -5, -34, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11122 (base 3) in base 8?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*d + 2*i - 3, -2*d - 4 = 4*i. Find the third derivative of 4*o**3 + 6*o**2 + o - 72*o**d + 4*o - 2*o**3 + 29*o**4 wrt o.\nAnswer: -1032*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2107.0000003946 - -2107. Round o to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iixiriixxr. Give prob of sequence xx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 (base 11) in base 3?\nAnswer: 122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272172572.\nAnswer: 2, 3, 11, 109, 29473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x + 7. Let u(y) = -26*y - 71 + 36 + 33*y + 35. Determine l(u(k)).\nAnswer: 84*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(0 + 2) + 0. Let b be (-46)\/(-12) - 11\/(-66). Solve -5*s + h = -b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218157 is divided by 54533?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-80 + -6)\/(-2)*1. Solve 5*s = 5*p + k, 4*p - 3*p - 20 = -5*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21, -1, 58 in decreasing order.\nAnswer: 58, 21, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*n - 2, -n - n = 5*i + 20. Let j be 145\/(-20) + i\/(-8). What is the remainder when 2 + 1 - (0 + j) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232354201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.68228 to two dps.\nAnswer: -84.68","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (3*sqrt(2736))**2 + -4)*-5 - (sqrt(38)\/sqrt(2)*-2 + sqrt(19) + sqrt(931) + 2).\nAnswer: -123102 - 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 17 = 5*v, 346*v - 354*v + 5*w = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Suppose 18 = 3*m - j*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:39 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3 + 66*x**2 - 126*x + 62 = 0.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 + 6468*p**2\/5 + 5229378*p\/5.\nAnswer: 2*p*(p + 1617)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2))**(-33)*(c**1*c)**(-1\/68) assuming c is positive.\nAnswer: c**(1121\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -g. Let d = -4 - 4. Let s = g - d. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00274322511 rounded to 7 decimal places?\nAnswer: -0.0027432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/((-237150)\/270)*-51?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -i - 0*g - 5*g, 0 = -2*g + 4. Let o(f) = f + 2. What is o(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 - 3*s**2 - 6*s - 4. Let m(f) = -3*f**3 - f**2 - 3*f + 5. Let k(r) = m(r) - u(r). What is k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32380, -64516, -96126, -126946, -156712, -185160, -212026, -237046?\nAnswer: -259956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -17*m**2\/2 + 6*m - 36. What is the tens digit of t(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**3 - 21 + 3*o**3 + 16 - 3*o to u + w*o + a*o**3 + i*o**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*i + 101*i = 0. Solve i = -4*x + 3*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-256563)\/(-54) - (3 + -7)) + 1\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50875\/660 + (-4)\/48. Let c(t) = -352*t**3 + 77*t**2 + 77*t + 77. Let q(i) = -27*i**3 + 6*i**2 + 6*i + 6. Give r*q(d) - 6*c(d).\nAnswer: 33*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. What is the closest to 0 in r, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156969074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (80 + (-13 - -49))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**3 + 29*j**2 + 13*j - 30. Determine l(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5844481, 5844480, 5844479, 5844478, 5844477?\n\"Answer: -h + 5844482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, e: 3, r: 1, c: 3, h: 3}. Give prob of picking 1 r and 2 c.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 953 - -216. Suppose n - 3468 = -11*q. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*m + 198*m = -26*m - 16*m - 21714 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1239 - -3880. List the prime factors of n.\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143\/17 + -875\/102. What is the nearest to -4\/13 in -34, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -21. Let w(x) = 93*x**2 - 102*x**2 - 3 + 6*x - 3*x + g*x**3. Is w(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 - 91. Suppose 3*r + 4*d = 9*d + 66, m*r - 2*d - 66 = 0. What is the smallest common multiple of 158 and r?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67020)\/(-16) - (-1 + -1)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -702, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 14) in base 7?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (7092\/864 + (-3)\/9 + 0).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/(-112)) + 0. Let i be (v\/10)\/(1\/(-5)). Calculate the greatest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:38 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 133, 162, 201, 256, 333?\n\"Answer: m**3 - m**2 + 25*m + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3429 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*b - 112, 2*v - 3*v = 4*b - 8. Let f = 4 - 13. Let k = f + v. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -5, -121\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 3*p + 1 + 4\/3*p**3 + 1\/2*p**4 + 2*p**2. Determine j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697293 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2024*n + 32429. Determine m(-16).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:14 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/644*252\/(-108)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -73*a**4\/4 + a**3\/3 - 1198*a + 941. Differentiate n(f) with respect to f.\nAnswer: -219*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 258.4 times -35.88\nAnswer: -9271.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -19*o + 4. Let a(z) = -z**3 - 41*z**2 - 79*z - 28. Let q be a(-39). Let t(w) = 56*w - 11. Give q*p(m) + 4*t(m).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69.94 - 72. Let q = b - -0.06. Let c be -2 + (1 - 7)*-1. Sort q, c, 0.\nAnswer: q, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, -3.6, -4 in descending order.\nAnswer: 17, 4, -3.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -133254751?\nAnswer: 133254754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8454 and -246.\nAnswer: -8700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 o, and 1 t when three letters picked without replacement from {i: 3, n: 5, o: 1, t: 2, b: 5}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 889956 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: Let x(q) be the second derivative of 11*q**4\/12 + 2363*q. Let d(f) = -f - 1. Let o(y) = -24*y - 22. Let w(z) = 88*d(z) - 4*o(z). Determine w(x(g)).\nAnswer: 88*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(245) + sqrt(245) + (sqrt(245) + 0)**2 - ((sqrt(245) + -3)*6)**2.\nAnswer: -8898 + 1526*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, -5, -2 in decreasing order.\nAnswer: -2, -5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5239 by -46955.\nAnswer: 5239\/46955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 0*n**3 - n**3 + (-3*n**3 + 2*n**3 + 3*n**3)*(194 - 380 + 211) - n**3 + 4*n**3 - n**3.\nAnswer: 53*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 458225 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 953 = 28*x - 419. Calculate the greatest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11111 + 128?\nAnswer: 11240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27886*c**3 - 13941*c**3 - 13944*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w**(-4\/5)*((w\/((w*w\/((w*w**(2\/23)\/w)\/w)*w)\/w))\/w)\/w*w assuming w is positive.\nAnswer: w**(-82\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/4 of a gram in milligrams?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = t - 14, 1039*k - 1041*k = -2*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 2590.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70446, -70419, -70394, -70371?\nAnswer: -70350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108411 - 14960837\/138. Let b = 10809\/140 + -580\/7. What is the common denominator of b and h?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 - 221*h + 84 + 97.\nAnswer: -221*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9641 minus -7059?\nAnswer: 7058.0359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 6. Let u = 0 - q. Suppose 11 = u*m - 1. Calculate the lowest common multiple of 6 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5573294 to the power of 1\/2, to the nearest integer?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*v + 116. Calculate the highest common divisor of v and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 146631\nAnswer: 4\/146631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 38, 1, -4.\nAnswer: -4, 1, 38, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 6. Give i(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**2 + 3 + 13*b - 39*b + 10*b**2 in the form v*b + x + i*b**2 and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1391922, -1391917, -1391910, -1391901?\n\"Answer: h**2 + 2*h - 1391925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/7 - 26620*p**4\/7 - 19019*p**3 + 212988*p**2\/7 + 319500*p\/7 = 0 for p.\nAnswer: -6, -1, 0, 2, 26625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-64)*4896\/(-11016)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1 + 0)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (17 - -16 - 78) + 33.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 52*l**2. Let w(q) be the second derivative of q**4\/12 + 39*q - 2. Give u(w(n)).\nAnswer: 52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:09 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*g - 3*p - 14, -2*g - p = 21. What is the common denominator of g\/68 - (27\/6 + -5) and -107\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (4*sqrt(117))\/sqrt(9))**2 - (-5*(sqrt(13) + -1))**2.\nAnswer: -25 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiuiu. What is prob of picking 2 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -2, -193146 in decreasing order.\nAnswer: 110, -2, -193146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 4*h + 2. Let j be t(2). Suppose -36 = -5*g - 4*x, -2*g + 24 = 2*g + 2*x. Calculate the highest common factor of g and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n = 73*n + 43*n - 348 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2833*f**6 + 91*f**2?\nAnswer: 339960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371133060 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -47*(-56)\/(-18424) - (-6)\/28*24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24112.4 to the nearest one hundred.\nAnswer: -24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5810, 10249, 14688, 19127?\nAnswer: 23566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53498*p**2 - 53557*p**2 + 106997*p**2 + 3*p - 2*p.\nAnswer: -58*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*t = -144, 3*t - 6*t + 9 = 0. Suppose n = -5*n + r. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22107, -44213, -66319, -88425, -110531, -132637?\n\"Answer: -22106*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101110011001111011 + -110?\nAnswer: 1100101110011001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 12\/(-5) + (-8)\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*g + 79951, 5*g = 5*c - 97326 - 102499. What are the prime factors of c?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*b + 3*j, 2*j + 2*j = -2*b - 16. Let m be 4\/b + 52\/6. Suppose 0 = 4*t - 20 - m. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22960634 is divided by 5785.\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351775*p**2 + 1351775*p**2 - 6*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157\/702 - 1\/702. Let j be ((-2)\/(-15))\/((-4)\/(-6)). What is the biggest value in g, -6, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-5))\/j**11)**33 assuming j is positive.\nAnswer: j**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 38*s - 43*s + 45, -1 = s. Calculate the greatest common divisor of f and 6250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96866 and 326536.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 6*n + 2*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 9*y. Let r(t) be the third derivative of 1\/72*t**4 + 0 + 0*t**3 + y*t - 1\/180*t**5 - 2*t**2. Determine p so that r(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5862547 is divided by 1954181.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 3*g**3 + 5*g**3 + (66*g**3 + 28581*g**2 - 28581*g**2)*(4 - 2 + 0) to o + j*g + u*g**2 + r*g**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/9)\/(200\/2200) + -6)\/(-8 - 3).\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -3\/22 (c) 14401 (d) -6 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 10*(-3)\/6. Solve -g = -v*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*g - 7 - 2*g + 7 + (g - g - g)*(4 - 1 - 1))*(-2*g + 4*g - 5*g)*(0 + 0 - 2).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 240 or -3444?\nAnswer: -3444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o - 3*k = 345, o - 325 = -2*k. Calculate the smallest common multiple of o and 2035.\nAnswer: 18315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -120.73 times -0.046\nAnswer: 5.55358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 165602976 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzlbzkllvzk. Give prob of sequence zrkz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 349*f**2 + 0*f + 9\/5*f**5 + 1\/24*f**4 - 175\/3*f**3 + 0. What is the first derivative of d(z) wrt z?\nAnswer: 216*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 214 + -211. Solve -h + 10 = -4*l + h, -5 = -4*l - s*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 + 406\/(-49). Let y(b) = -2*b**3 - 17*b**2 - 10*b - 16. Let g be y(l). Suppose g = n + 2*n - 30. Solve n = -8*v + 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497190 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: In base 7, what is -6206 + 4?\nAnswer: -6202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2421.86 - -95.78126.\nAnswer: -2326.07874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -105 (b) 5 (c) -5\/3 (d) 8 (e) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a + 95. What is w(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 1}. What is prob of picking 2 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -276, -152, -12, 150, 340, 564?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -91*x + 193. Let r be s(-9). Suppose -3*h = -5626 + r. What are the prime factors of h?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1594 + 5794. What are the prime factors of o?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(228)*1*6*-4)\/(6*(sqrt(192) - sqrt(192)*-2)*-1).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = x + 9. Let t = 87 - x. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976740 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -98104426, -196208829, -294313230, -392417629?\n\"Answer: g**2 - 98104406*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*b - 112, 5*b = 24*d - 22*d + 67. Is d equal to -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-102)\/(-4))\/((-222)\/148))\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(9*i - 21*i + 9*i) to l*i + z and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times 0.008?\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 732a55?\nAnswer: 732a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 406 + -402. Solve 0 = -3*o - 3*b + 15, -2*b + 0 = -v*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 2. Let f be c(0). Suppose 2*l - 5*k + 0*k = -3, -3*k = -5*l - 36. Let y = -1 - l. Solve 2 = f*j - y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a + 2*a**2 + 3*a + 6*a**3 + 8*a**2 wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 23. Let n = -17 + p. Solve 0 = -n*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + 11. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38796777 and 0.4?\nAnswer: 38796776.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -19*u + 20. Suppose 0 = -u*h + 31 + 17. Suppose -7 = -4*t + 3*k + h, 4*k = -2*t + 4. Calculate the greatest common divisor of 20 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -968 (base 15) in base 9?\nAnswer: -2818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17454 - -48832. List the prime factors of w.\nAnswer: 2, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 14 = 3*m + 3*a, -2*m - 5*a = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/506799?\nAnswer: -5\/506799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 23*a + 161 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 6*d + 2. Let q be s(4). Let n be q\/(1 - (-20)\/(-8)). Solve n*o - 2*c + 6 = 0, -5*o - 3*c = 2*c - 30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9505, -132, 4 in decreasing order.\nAnswer: 9505, 5, 4, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-3))**(1\/43)\/(g**(-2\/7)*g*g*g\/(g**(-9)*g)*g))**(-14))**(-21) assuming g is positive.\nAnswer: g**(-148680\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 5.931645?\nAnswer: -0.4745316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -15\/2, -0.5, 0.1, -4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 2 (b) 5 (c) -1\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 773057 - -66943. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -25*k. Let q(f) = -9*f**2 + 4*f**2 + 4*f**2 + 2*f**2. Determine c(q(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919387971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y**3 - 2*y - 26*y**3 + 32*y**3 - 65*y**3.\nAnswer: -90*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65208 = 5*o + 3*o. Let x = 13474 + o. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4574 divide 286341628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -14*t - 3. Let r(v) = 781*v + 15. What is r(c) + 4*u(c)?\nAnswer: 725*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340*x**2 + 1018*x**2 + 5*x - 359*x**2 + 2 - 442*x**2 to h*x + z*x**2 + g and give z.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 18 = -5*l - 4*c, 3*c = l - 2. Let y = 594 + -592. Sort 46, y, l.\nAnswer: l, y, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102651, 821254, 2771773, 6570168, 12832399, 22174426, 35212209?\nAnswer: 52561708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*24\/(-84864)*-136?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 344, 958, 1856, 3032, 4480?\n\"Answer: -t**3 + 148*t**2 + 177*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/8)*u*u**(-5)*u*u)\/(u**(-1\/9)*u*u\/(u**(-2\/3)\/u)*u))\/((u**(-1\/2))**(-13\/5))**(-2\/83) assuming u is positive.\nAnswer: u**(-206149\/29880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 - 5*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 546\/8463 + (-444)\/155\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67608538\/99789 - -85408\/1147. Let b = u - 752. Let q = b - -188\/609. Is q < -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 10:56 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(8\/(-108)*-3). Let m be (-36)\/t + (-40)\/(-3). Let p = m + -13. Which is greater: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 5 - (5 - (8 - 12)) - 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000198663 to six decimal places.\nAnswer: -0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, v: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u. Let t(j) = 64*j. Let s(r) = -6*t(r) + 56*x(r). Let c(a) = -a. Let w(h) = -6*c(h) - s(h). Let q(o) = -8146*o + 16337*o - 8170*o. What is w(q(b))?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 51. Solve 0 = -3*k + 4*k + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + 0.26. Let s = w + 0.83. Which is the third biggest value? (a) -4\/5 (b) -1\/6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2. Let q(o) = -14*o**2 - 3*o + 1. Let u(v) = -g(v) - q(v). Let a(j) be the first derivative of u(j). Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35721669 is divided by 285.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-14) - 180\/(-168). Let i = -5.1 - -5. Let q = -0.05 - 0.35. Which is the closest to i? (a) 0.5 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 84.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/9 + 58618*p\/9 - 60117184\/9 = 0.\nAnswer: -30301, 992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - 1. Let f = 7.0000059 + a. What is f rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245 (base 7) to base 6.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 1. Let c(o) = o**2 + 3*o + 3. Let h(g) = 6*a(g) + 2*c(g). Let x(d) be the first derivative of -5\/2*d**2 + 0*d - 3. Give x(h(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*24\/(-408))\/(1\/((-11)\/(-1))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4413698*i**3 + i + 141476155 wrt i.\nAnswer: -13241094*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:27 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39\/2 - -19. Let v = s + 1\/6. What is the closest to -1 in v, 4, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/4 - -2 - 57\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -17*q. Let z be (q - 1\/3)\/(12\/(-108)). Find the third derivative of 0*n**5 - z*n**5 + 3*n**6 + 5*n**2 + 3*n**5 wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 4*p - 29, -1006 = -5*x - 4*p - 973 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**3\/3 + 9*x**2\/2 + 8*x - 4. Let c be k(7). What are the prime factors of (c\/(-2) - 1)*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -810 - -1600. Calculate the remainder when w is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6483 + 163?\nAnswer: -6320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + o - 5*o + 19*o - 4*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z - 4. Let s be g(8). Calculate the highest common factor of s and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 20 = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 9 = -p. Find the common denominator of (-15*3\/6)\/p and 55\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3519 and 391?\nAnswer: 3519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 12*o**2 + 13*o - 16. Calculate b(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 2249724.\nAnswer: -2249724.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -300, -44, 4, 1 in decreasing order.\nAnswer: 4, 2, 1, -44, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -24 - ((1 - -7) + -21)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118312045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 2, -3, 664, 5 in increasing order.\nAnswer: -3, -2, 0, 2, 5, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36 + 2d6a18?\nAnswer: 2d69c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 186213 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476328935?\nAnswer: 5, 37, 2574751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37346334, -74692699, -112039064?\n\"Answer: -37346365*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -5*l. Let t(s) = s - 4. Let q be t(6). Is q less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*k + 2*i = -304*k - 23, 0 = 3*k - i - 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320828.\nAnswer: 2, 80207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 145 + 141 + 147 - 535 + 3116*v.\nAnswer: 3116*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 117275 times 94\nAnswer: 11023850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 81*a**2 + 1636*a - 162. Calculate d(-40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8845 or -115004\/13?\nAnswer: -8845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**3 - d**2 + d**2)*(0 + 0 + 2) + 53*d**2 - 53*d**2 - 288*d**3 - 3393*d**3 as x*d**3 + u*d + v*d**2 + w and give x.\nAnswer: -3685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20785, -41577, -62371, -83167, -103965, -124765, -145567?\n\"Answer: -l**2 - 20789*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -2. Suppose -2*o + 12 = h, 3*o - 19 = -3*h + 5. Let c be ((-6)\/24)\/((-3)\/h). What is the nearest to c in -3, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10826766?\nAnswer: 2, 3, 601487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5529 and 1164?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 0, -u - u - 83 = 3*w. Let k = u - -81. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**3 - 12*p**2 + 6*p - 9. Let n(a) = -3*a**3 - 4*a**2 + 2*a - 3. Let v(i) = 11*n(i) - 4*w(i). Let k = -9 + 12. Give v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/3*(-96)\/(-10). Suppose -c = 4*o - 0*o. What is the units digit of ((-4)\/o)\/(1\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-45) + ((-2826)\/30)\/(-3))*-1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2134*k**2 + 437*k**4 - 2133*k**2 - 2 + 0 in the form t + p*k + q*k**4 + h*k**3 + i*k**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -373. Let b be (5\/6 - 0)*s\/(-195). Solve 3\/2*p**3 - b*p - 3\/2 + 3\/2*p**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5 - 7*l**2 - 5. Let u(v) = 3*v. Determine r(u(y)).\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7382159396 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/223600 and 1\/1825.\nAnswer: 16322800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 10*c**2 - 11*c + 14. Let i(v) = 26*v + 1. Let k be i(2). Suppose k*y - 7 = 52*y. Is a(y) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, r: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/11 or -345?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157218346?\nAnswer: 2, 17, 4624069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606226 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12903 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/5 + 1309798*y**3\/5 - 785880*y**2 + 3929402*y\/5 - 1309801\/5 = 0 for y.\nAnswer: -1309801, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -225*n**5 - 105*n**4 + 333*n**3 + 93*n**2 - 108*n + 12 = 0?\nAnswer: -1, 2\/15, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 688 - 673. Let g(o) = -o**2 + o. Let i be g(0). Solve -5*q = -i - c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f - 211 - 1181 = -3*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1122 and 97512?\nAnswer: 1072632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -9836 and -9565 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(19) + 1 - (-3 + sqrt(57)\/sqrt(3))) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 16 + 24 + -19 - 53?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4785 - 260. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1760 = -5*i, -917 = -2*i + 3*j - 213. Calculate the greatest common divisor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011371924 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*o - 38, -67*o + 440 = -3*x + 1658 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 136, 171, 220, 277, 336?\n\"Answer: -m**3 + 13*m**2 + 3*m + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 - 261*y - 35. Determine h(42).\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 39. Let q be z(12). Suppose -6*p + 6 = -3*p. Let j = q - p. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/3)\/((-55)\/(-2640)*-56)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -360343736 < -360343739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + -3*sqrt(68))**2 - (2 + sqrt(68)*3 - sqrt(68))) + 4.\nAnswer: -814 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 10\/7, 1\/9, -237?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 12)*(-6*o + 1 + 2*o**3 + 6*o).\nAnswer: 30*o**3 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.54 (b) 1 (c) -16 (d) 3\/4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 192 + 27 = 0. Let p = q - -31. Let u be (-26925)\/p*136\/51. Round u to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -5*d**4\/12 + 17*d. Let x(n) be the second derivative of n**4\/3 + n. Calculate x(v(g)).\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/126 + 0 + 5\/2. Suppose 0*d - 511 = -5*k + d, 202 = u*k + 2*d. Is k a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 11*l + 7. Calculate the lowest common multiple of d(5) and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + 4\/(16\/(-12)). Let z(v) be the second derivative of 1\/2*v**2 + 1\/6*v**3 + 0 + u*v. What is the derivative of z(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 4) + 11\/2*4. What is the hundreds digit of 6\/27 + 2228\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1151, 2289, 3431, 4577, 5727?\nAnswer: 6881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157579360 divided by -15757936.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*g**5 + 78*g - 128*g**2 + 21*g**5 + 192 - 44*g**4 - 144*g**3 + 50*g.\nAnswer: -4*(g - 1)*(g + 2)**3*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvcjlvlllllllllvcll. Give prob of picking 1 j, 1 l, and 2 c.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/15 + 46\/6. What is the second derivative of -q**5 - 5*q**5 + h*q - 2*q wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-410)\/((-14)\/(-7)*-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0*j + 0 - 25\/6*j**3 - 1\/60*j**5 - 5*j**2 + 5\/12*j**4. Let p(h) = 0. Calculate h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1062444236?\nAnswer: 1062444240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 - 1748 = -127*p + 10*p. Solve 0 = -4*r - 2*z - 6, -3*r + z - 5*z = p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11 + 8\/11*k + 2\/11*k**4 - 4\/11*k**3 - 6\/11*k**2.\nAnswer: 2*(k - 2)**2*(k + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Let q(c) = -c**2 - 4*c + 2. Let m be q(-4). Let a = 7 - m. Solve -f*v = v + a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5010 + -340665\/68. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 586 and -70202608.\nAnswer: -70202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -235?\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2473486*m + 1038899 wrt m?\nAnswer: -2473486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**2 + 32*g + 18. Let i(l) = -13*l**2 + 36*l + 19. Let m(b) = -6*i(b) + 7*r(b). Calculate m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-10)\/50) - (-3 - 1). Suppose 3*x - 21 = 3*g, 3*g = -12*x + h*x + 51. Solve 5*w = w - x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaarorrrarrarar. What is prob of sequence aaao?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 34*v - 2*d - 1288 = 0, 5*d = -5*v + 6470. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -14*k + 45. Let m be t(5). List the prime factors of 900\/m*(-1 + -5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**15*(y**1)**27 assuming y is positive.\nAnswer: y**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - 2. Let n be g - (-7 + 2\/1). Is n*(0 - 106\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23447\/18 + -1893\/2. Let z = -355 + q. Factor -2\/9*b**2 - 4\/3 + z*b.\nAnswer: -2*(b - 3)*(b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0151770325 to six dps.\nAnswer: 0.015177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 10675399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1893842.\nAnswer: 2, 151, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.066, -1, -0.2, -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/(u\/u**6)*u\/(u**8\/u)*u*u**(-3\/4)\/u*u*u)**(-8) assuming u is positive.\nAnswer: u**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9240+-1454614668.89\nAnswer: -1454623908.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612597.\nAnswer: 3, 59, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 + 107. Let g = 91 + y. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.25, -0.116, 4\/7 in descending order.\nAnswer: 4\/7, -0.116, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-128)\/(-24)*84\/8*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l**(2\/3)\/l))\/(l**(1\/3)\/l)*(l\/l**(-1\/3))\/(l*l*l**5))\/(((l\/(l*l**1*l*l)*l)\/(l\/l**(-1\/5)))\/(l**2\/(l*l**(2\/5)\/l))) assuming l is positive.\nAnswer: l**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0764717+0\nAnswer: -0.0764717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 10*w - 21. Let y be h(12). Solve -4 = y*z - n, -10 - 6 = -2*z - 4*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/(-10286)*-1*(7 + -3). Let b = -10\/139 - l. What is the third biggest value in 1, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7710542\/23 or 335240?\nAnswer: 335240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144200 = 3606*z + 43554 + 89908 for z.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -51.5, -39\/1568, 0.03?\nAnswer: -39\/1568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - -19. Let c = 87 - q. Let a = -14 + c. Calculate the remainder when 49 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 3576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 118b + 0?\nAnswer: 118b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3458 divided by 159?\nAnswer: -3458\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14*u + 4. Let s be 2\/(-5) - (-4692)\/(-170). Let o be 3\/10 + s\/(-40). Let c(a) = a + 1. What is o*p(d) - 4*c(d)?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 - 5*a**2 + 4*a**2)*(11*a - 159 + 159 + (5 - 5 + a)*(-5 + 3 + 4)) to g*a**3 + o*a**2 + x*a + j and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025 - 518 = -s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*c**3*l**3 + 5*c**3*l + 36*c**3 + 12*c*l**3 - 21*c*l - l**3 + 1 wrt c.\nAnswer: 264*c*l**3 + 30*c*l + 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -4461235.\nAnswer: -4461235.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -283322309752.99999011 - -283322312004. Let a = m - 2251. What is a rounded to 7 dps?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -296*z - 21901. Determine x(-74).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*n**2 + 2*g*n + 125*g + 6*n**2 + 2*n + 22 wrt g.\nAnswer: -2*n**2 + 2*n + 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*(-13233)\/22. Let x = d + 187. What is the common denominator of 73\/18 and -3 + (-1)\/(-24)*x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16407, 36384, 56365, 76350?\nAnswer: 96339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/2*(2 + -1). Suppose -8 = -w + y. Solve 0 = -3*g - 5*t - 5, -6*g = -3*g + 3*t + w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -3.4, 1357 in decreasing order.\nAnswer: 1357, -2\/19, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 106615368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111332805.\nAnswer: 5, 11, 1613, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028904477 rounded to 3 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201.7209 rounded to the nearest one hundred?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0*m**3 + 0 + 0*m - 1\/12*m**4 - 23*m**2. Let z(p) = 2*p**2. Determine z(c(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -1\/4, 0.85, -2\/13, 17 in ascending order.\nAnswer: -0.3, -1\/4, -2\/13, 0, 0.85, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 244 (b) 0.02 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/(-55) - (7\/1 - 3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/4 - (-14931)\/(-15484). Which is the third smallest value? (a) -1\/2 (b) -10 (c) y (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1, 1, -72 in descending order.\nAnswer: 17, 1, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 61*b + 58*b + 3423, -3*t + 3451 = -4*b. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (279\/10292)\/(15\/(-23)). Let d = w + 50627\/29880. Find the common denominator of 79\/24 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 - -91. Suppose 72 = x + 13*i - 9*i, -r*i + 67 = x. Let k be 1\/5 + 254\/5. Is k at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -3\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -923*m - 1. Let q be i(-1). Suppose 4*g + 5*s - 1231 = 0, 5*s = g - 4*g + q. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542295 (base 12) in base 10?\nAnswer: 13274897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 11. Suppose 4*y + y - b = -4*d, d - 6 = -3*y. What is the units digit of (-483)\/(-4) - y\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*u + 5*u + 142 = 0, 0 = 5*l - 3*u - 336. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 9368*z**2\/5 + 37504*z\/5.\nAnswer: -2*z*(z - 4688)*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((27\/(-12))\/9*-1). What is the second biggest value in 0.2, m, -0.3, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -182625780 to the nearest 1000000.\nAnswer: -183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/n*(n*n\/n**(-10))\/n*n\/(n\/n**(1\/19))*(n*n**15)\/n assuming n is positive.\nAnswer: n**(476\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -3 (c) 0.1 (d) 3\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/((4\/(-2))\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4630442.\nAnswer: 2, 1423, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.812 * -74\nAnswer: -282.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 50 = -6*o. Let l(i) = i + 3. Let r be l(9). Let q(w) = -w**3 + 13*w**2 - 10*w - 16. Calculate the least common multiple of q(r) and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 153 or 55?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -73*i**2. Let y(w) = -6*w. Suppose -3 = 13*q + 62. Let b(k) = 7*k. Let p(j) = q*y(j) - 4*b(j). What is c(p(n))?\nAnswer: -292*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1961 is divided by 1958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 - 0) - (-742 - -741).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 14*s**2 + 0*s**4 + s**4 - 15*s**2 + s in the form h*s**4 + v*s + i*s**3 + w*s**2 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 964926147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from jjjyjyjyjjyjyjjjyj.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 84 = -262. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 30 = 26*v - 13*v, 5*j - 40 = -3*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1427*y + 40 = -1425*y. Solve 2*m - 17 = -4*h - h, -5*m = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1776, -2948, -4356, -6006, -7904, -10056, -12468, -15146?\nAnswer: -18096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/41070341 and 4\/12499669.\nAnswer: 287492387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 126356659, 126356656, 126356653, 126356650, 126356647?\n\"Answer: -3*i + 126356662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - ((sqrt(175) - (-2 + sqrt(175)))*-2 - sqrt(175)) - -5*(-2 + sqrt(175)))**2 + 2*-6*(sqrt(175) - 3*sqrt(175)*-5))*-4.\nAnswer: -34444 + 5520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 2\/3 (c) 30\/197 (d) -4 (e) -5 (f) -1 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 126*i**3 - i**2 - 11*i - 14. Let k be d(-6). What is k rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 42 = 3*t + 5*l, 0 = 4*t - 4*l - 64. Let z = t + -13. Factor -2 + 154*v**2 - 158*v**2 - z*v + 2*v**5 + 6*v**4 + 4*v**3 - 4*v.\nAnswer: 2*(v - 1)*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 29620*m**3 + 59236*m**2.\nAnswer: m**2*(m + 2)*(m + 29618)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749 + 749 - 14*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 185274 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-21))\/6)\/(10\/35)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 91. Suppose -h - 900 = 18*w - 13*w, 4*h = -3*w - 523. Let u = d - w. Is 36 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6749046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 840830 = -113917. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m - 6*m + 17*m**2 + m - m - 10*m.\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -7\/7524395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 98440827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, -1\/3, 40.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 324.5 and 0.\nAnswer: 324.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37510641 to the power of 1\/2, to the nearest integer?\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 46*i - 259. Determine c(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-30))\/(-1 - (-1)\/10). Let g = 16.8 + -17.44. Which is the second smallest value? (a) g (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426104803 to the power of 1\/2, to the nearest integer?\nAnswer: 20642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29\/10 + -5\/2. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 67*j**2. Let f(k) = 1. Let x(w) = w + 5. Let i(n) = 3*f(n) + x(n). Let v(b) = b + 10. Let m(q) = 5*i(q) - 4*v(q). What is m(l(g))?\nAnswer: 67*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7)**49)**(-1\/20) assuming q is positive.\nAnswer: q**(-343\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.13 - -0.35. Let b = 0.352 - w. Let x = -1.202 + b. What is x rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 23 = -14. Let l be 41 + j\/6*-8. Solve f = -2*f + 3*s + 3, 5*f = -3*s + l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -2*d + 0 + 0*d**2 - 1\/6*d**4 + 0*d**3. Let s(x) = -3*x**2. Give k(s(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 359172 = -22*d + 27*d. What is the highest common divisor of d and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/16520 and 103\/1190?\nAnswer: 280840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - -592. List the prime factors of (39\/9 + -4)*q.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (-16 + 42)) + ((-7)\/(-5) - 2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/110*(-3330)\/296)\/(-3).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 318, 1268, 2814, 4926, 7574, 10728, 14358, 18434?\n\"Answer: -5*q**3 + 328*q**2 + q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*g + 218, -3*b + b = -2*g + 188. Let d = b + 68. Let y = -31 - d. Solve y = 2*v, -1 = -3*p - 2*v + 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 240*n + 20086. What is y(-83)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 3, 6\/11273, 23?\nAnswer: 6\/11273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g**(3\/2)\/g))))\/g**(2\/15))\/((g\/(g\/g**(-3\/5)))\/g*g\/(g\/g**(-3\/7)*g)*g) assuming g is positive.\nAnswer: g**(503\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.28077 - 1.2807752517. What is n rounded to 7 decimal places?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -71. Solve j + 5*u = 15, i*u = -j - 4*u + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(2\/11)*o)\/o*(o\/(o**4\/o))\/o)**(-1\/14))**(-2\/41))**(-2\/15) assuming o is positive.\nAnswer: o**(8\/9471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171713*q**2 - 57230*q**2 - 57237*q**2 - 57208*q**2.\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Suppose 5*b = b - 3*c + n, -4*b - 5*c = -5. Let p = -0.01 - 4.99. What is the nearest to -1 in p, 2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.5 + 19. Let u = d + 1.1. Let i = u + 7.347. Round i to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 - 11*p**2 - 553*p + 2845. Determine q(5).\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let f(b) = -b + 27. Let k(r) = -14*r + 72. Let q(t) = -5*t + 24. Let d(h) = -3*k(h) + 8*q(h). Let y(m) = -3*d(m) - 4*f(m). What is l(y(n))?\nAnswer: -4*n - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 2*s + 8 - 260*s**2 - 6.\nAnswer: -260*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 3*a + 3. Let i be u(3). Let c = 10 + i. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 139. Let w = 82 - k. Let i = -0.5 - -0.1. Which is the closest to w? (a) 0.2 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, 1 f, and 1 r when four letters picked without replacement from fwrvhwhqf.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2077 - -2047 - 306\/(-8)?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.619 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077 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 3 a factor of 21538839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2971 - 4424 = -r, -4*s = -4*r - 14772. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 3:32 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 - (2 - 12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4080874.\nAnswer: 2, 7, 291491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*r + 330*r - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46479, -46339, -46199, -46059, -45919, -45779?\n\"Answer: 140*v - 46619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 766 + -762. Put -1, -2, f, 22 in decreasing order.\nAnswer: 22, f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wutxwxtwwww. Give prob of sequence xx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/35562811 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/361 + 4312\/1805. Let g = k + 28\/55. Calculate the common denominator of g and 21\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-392)\/539 - (-6)\/33?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v**2 + v. Suppose -4*z + 0 = -5*f + 7, -7 = -2*f + 3*z. List the prime factors of c(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42825888 divided by 9198.\nAnswer: -4656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -165449 * -5\nAnswer: 827245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59484163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -282103160*x**6 - x**2 + 136*x - 29979 wrt x?\nAnswer: -33852379200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22885 or -0.1?\nAnswer: 22885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = -13*w + 4623. Let p = w + -41. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 84 = 7*y. What is the units digit of 6\/y - (1082\/(-7) - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 25*i + 83*i**2 + 88*i**2 - 161*i**2 to l*i**2 + b + d*i and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Suppose -28 = -27*a + 13*a. Factor a*t**2 - 14*t**2 + 38*t**3 + 14*t**4 + 1 - j.\nAnswer: 2*t**2*(t + 3)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*l = 13*l + 16368 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-14) - 30\/(-35). Calculate the remainder when 68 is divided by (18 + -53)*w*-1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84714677401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.22 - 33.7. Let j = -15 - 7. Let x = t - j. Round x to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -63?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 1 + 2 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 1 + 5*m - 5*m + 6*m - m**2 - 5*m as s*m**2 + o + q*m + r*m**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2. Suppose -3*p = -4*s + 4, -s - 6*p + 3*p + 1 = 0. What is j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1341 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 18813.2 (c) -0.5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (10\/(-5) - -3). Let z(g) = -g**2 + 13*g + 2. Let f be z(13). Let t = x - f. Round t to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 924*w**2 - 18081*w.\nAnswer: -3*w*(w - 287)*(w - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -9, -13, 1, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1021 and -0.91.\nAnswer: 929.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26149 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 277*m**5\/5 - 14*m**3\/3 - 3*m**2\/2 - 400. Find the third derivative of r(i) wrt i.\nAnswer: 6648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 + 1. Give o(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-30) - 0\/2. Let y = -307.4 + 249. Let c = 61.4 + y. What is the third smallest value in c, -4, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*v = 9, 3*v + 0 = 2*z + 3. Let d be (z\/(-2))\/3*-4. Let p be (d - 258)\/(2\/(-46875)). Round p to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29361.48 to the nearest 100.\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1051.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 98. Suppose 370 - y = 4*p. Let t be (-13 - -187)\/6 - -5. What is the greatest common factor of p and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3968.73 times -0.07\nAnswer: -277.8111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20002020 (base 3) in base 9?\nAnswer: 6066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 8:40 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 36?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -190 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from {v: 1, o: 2, n: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.66 (b) 1\/2 (c) -0.2 (d) 5 (e) -21 (f) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 2*y + 0*y + (3*y + 0*y - 2*y)*(-2 + 4 - 1) + 7*y - 2*y - 3*y - 2*y + y - 5*y - 1 + 2*y + 1.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158 + 87. Let f = q + 66. Let j(h) = h**2 + 4*h - 5. Let a be j(f). Solve r - 5*p - 14 = 0, a*p = 4*r + 5*p + 19 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - 10*i**2 + 26*i - 31. Calculate n(4).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206433*t**4 + t**3 - 25*t**2 + 6*t + 8809 wrt t?\nAnswer: 4954392*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(1\/4)*v*v**(-3\/5))**17 assuming v is positive.\nAnswer: v**(901\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 2476, -2\/19, 4 in ascending order.\nAnswer: -2\/19, 4, 43, 2476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 23384 = -2*z - 23415, -2*z + 3*r = 17 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:51 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {g: 4, c: 1, j: 2, w: 1, t: 3, r: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1161\/20087?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*(-77)\/(-4158)*27\/(-3))\/(-3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let m(r) be the third derivative of 0 + 0*r**3 - 1\/60*r**5 + 0*r + 0*r**4 - r**2. Give m(n(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7931702, -7931698, -7931694?\n\"Answer: 4*c - 7931706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31498683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167745864?\nAnswer: 2, 3, 11, 13, 37, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*j - 4. Suppose -18 = -d - j. Solve -d = -4*p - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 333*i**2 - 330*i**2 - 21*i**4 + 2*i**3 + 112*i**4 as m*i + y*i**4 + q*i**2 + h*i**3 + r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6350708 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5705.\nAnswer: 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:31 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 - -8) - 630\/(-48).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = -9. Suppose -5*g + 3 = t - r, -3*g + 6 = 5*t. Suppose -g*p - 5*k + 8 = -7, -3*k - 53 = -5*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331413 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: Let x(z) = 6*z**2 - 12*z - 25. Let a = -42 + 57. What is the lowest common multiple of x(-5) and a?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*o, -3*o - 488 = -4*h - 183. Let n = h - 34. Suppose 432 = 22*w - 4*w. What is the lowest common multiple of n and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172\/(-13158)*(-21)\/14*-4.\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:46 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(81) + sqrt(396)*2)\/(-4*sqrt(64)*-4).\nAnswer: 19*sqrt(11)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 11*h - 7. Let d be 6\/10 + 12\/(-20). Suppose 27 = -3*y - d*q + 3*q, 4*y + q = -41. Determine t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86964288391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 15*y**2 + 19*y + 5. Let b be c(14). Let s = -47 + b. Let x = 94 - s. Calculate the highest common divisor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*f - 16*f**2 + 92*f + 97*f.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 2\/6997 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 954369.750053 - 954371. Let k = -12 - -10.75. Let t = k - x. What is t rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27040 times -0.3?\nAnswer: -8112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -197, -319?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*m + 13 = -5*m, 3*g - 18 = 4*m. Suppose -4 = -3*n + g*n. Suppose 82 = n*r - 14. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**2 + 97855*j - 195730 = 0?\nAnswer: -19573, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54288*g**3*i**2 + 27745*i**2 - 2*i wrt g?\nAnswer: 162864*g**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(-15 - 12 - 5)*(47 + 53 - 14)*(-1 + 1 - 2*f)*(-2*f - f + 6*f) as q + d*f**2 + a*f and give d.\nAnswer: 33024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0952 - 0.095192928. Round x to seven decimal places.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 8:15 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176.84 + -178. Let q = p - 47.84. Which is the nearest to 0.1? (a) 0.3 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16d (base 14) to base 8.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1017265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 65958.88 decades?\nAnswer: 6595.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 132*x**3 + 19*x**2 + 30*x + 28. Let f(y) = 7*y**3 + y**2 - y + 2. Calculate 38*f(r) - 2*o(r).\nAnswer: 2*r**3 - 98*r + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191 is divided by 569?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 36. Suppose -185478 = -o*p + 437940. Let i = 94806 - p. Round i to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 <= 0.7886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7936845 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.41, -2\/57, -0.4 in decreasing order.\nAnswer: -2\/57, -0.4, -3.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*i = -161*i + 1026. Let w = i - 587. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brv when three letters picked without replacement from {b: 5, a: 1, m: 1, c: 1, r: 2, v: 5}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4475711 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.1, 1566, -268, -12\/5 in descending order.\nAnswer: 1566, -0.1, -2\/9, -12\/5, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -3. Suppose 5*k = -x - 15. Let f(o) = 2*o + 2. Let n(y) be the second derivative of y**3\/3 + y**2 + y. Give k*f(p) + 3*n(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(2\/91)*d*d*d\/(d*d**(1\/53)*d)*d)\/((d\/(d\/d**(24\/5)))\/d*d**(-2\/139)*d) assuming d is positive.\nAnswer: d**(-2622933\/3351985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:33 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 - 24*p**2 + 17*p. Let d(v) = -7*v**3 + 47*v**2 - 35*v. Let o(r) = 6*d(r) + 11*j(r). What is the second derivative of o(m) wrt m?\nAnswer: 12*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 442263*k**2 + 3512766*k.\nAnswer: 884526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/40*0*1\/(-3). Solve 15*r - 10*r + 20 = z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.609 + -0.979. What is j rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 511537 and 45562.\nAnswer: 11253814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.1. Let k = 115.1 + -21.1. Let p = 94.1 - k. Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/41, 1\/21, 21\/5, 27?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-80 - -56 - ((-5 - -5) + 11))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409 + 381 = -14*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 56*u**2 - 6*u - 3. What are the prime factors of m(3)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 311712 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 5*p**3\/6 + 29*p**2 + 3486*p. Give h(-16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*l - 566 = -179 + 441 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 9. Let s be o(9). Put -1, 3, 9, s in decreasing order.\nAnswer: 9, 3, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:29 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 598, 617, 618, 595, 542?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 227 - 16616?\nAnswer: -16367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 1. Let i be m(1). Let q be -1*2*4\/(-8). Suppose -7 = 3*f - 13. Sort f, q, i in ascending order.\nAnswer: i, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 44, -345, 8\/21.\nAnswer: -345, 8\/21, 1.8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) - (-183)\/27. Let g(n) = 18 - l*n - 3 + 4*n + 11. What is the tens digit of g(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*d - 12 = -3*h, -h - 4*d = 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + ((-24)\/(-6) - 5\/4). Let c(f) be the first derivative of 2*f**3 + 0*f + 21\/5*f**5 - 3 + 0*f**2 - t*f**4. Determine y, given that c(y) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/2, -42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1008 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413, 414, 433, 476, 549?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/7 - 5)*(-3 + 2). Let g = 3 - 1. What is the greatest common factor of g and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50067788 is divided by 16689241.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n - 5. Let z(g) = 10*g - 4. Let w(y) = 3*a(y) - 4*z(y). Suppose 0 = t + 4 - 3. Calculate w(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 20 = -5*c. Suppose -4*r = -c*r + 30. Let x = 51 - r. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2796*o**2 - 1394*o**2 - 1396*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 24 = 288. Let s = i - 16. Suppose 5*j = s + 170. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - u**2 + 1. Let k be 5 - 2 - 222*-1. Suppose 5*z = -0*z + 5*o - k, 3*z + 149 = -4*o. Find the common denominator of z and v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 565147, 1130348, 1695611, 2260942, 2826347?\nAnswer: 3391832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (896\/(-154) - -5). Which is the third smallest value? (a) x (b) -11\/19 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.92 + -19.89. Let z = -0.03 + a. Let w = z + 7.99999944. What is w rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1103 = 13*z - 4795. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 + 1.695. Let s = b + -10.095. What is s rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (1 - 1 - -4 - 7) - -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14799, 14642, 14381, 14016, 13547, 12974?\nAnswer: 12297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/4 - 1817*y**4\/4 - 179641*y**3\/2 - 177823*y**2\/2 + 359281*y\/4 + 357463\/4 = 0.\nAnswer: -179, -1, 1, 1997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = 36541 - 36605. Solve -2*o - a*x = 10, 15 = -3*o - x + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*(sqrt(13) + 1 + sqrt(13)) - (sqrt(117)*2)\/sqrt(9)))**2.\nAnswer: 32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/(-19) + (3 + 0\/(-2) - 4). Sort u, 1, -316.\nAnswer: -316, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, j: 2, a: 4}. Give prob of picking 2 a and 1 z.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9ba + 2?\nAnswer: -9b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23886*l**3 + 21952*l**3 - 45841*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -120185, -240359, -360533, -480707?\n\"Answer: -120174*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45.5 and -0.039.\nAnswer: -45.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/18 + 314*k**3\/9 + 24649*k**2\/3 - 305*k. Factor r(d).\nAnswer: 2*(d + 157)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-17))\/a)\/(a**39*a)*a*a*a**(-28)\/a*a*a*a**(2\/21))**43 assuming a is positive.\nAnswer: a**(-73960\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21028 (base 10) to base 2.\nAnswer: 101001000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u + 3*n = 12, 4*u = n - 19. Let f = 8 + u. Let r be (-2)\/5*1*(-29 - 1). Solve f*v - 6*v - r = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 31306?\nAnswer: 313060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**2. Let r(o) = -37*o**2 + o. Determine r(g(d)).\nAnswer: -925*d**4 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194 + 191. Let k(a) = -a**2 + a - 1. Let v(m) = 11*m**2 - 3*m + 3. Let i(w) = q*k(w) - v(w). Let h(n) = -2*n**2. Calculate h(i(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42357053?\nAnswer: 23, 139, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/(-686)*(-595)\/(-15)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133525778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15427 is divided by 281.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1408807365 + 20.2\nAnswer: -1408807344.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 7:41 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 33*k - 2. Let p(l) = 5*l**2 - 9*l + 9. Let n(o) = -o - 2*o + o**2 + o + 56 - 54. Let v(i) = -9*n(i) + 2*p(i). What is q(v(g))?\nAnswer: 33*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (3 - (-3)\/1). Suppose 0 = -4*c + 2*c + l. Solve q + c*w + 20 = 0, -2*w + 2 = -3*q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**6\/2 - 9*p**5\/20 + 5*p**4\/3 - 2*p + 42. What is the third derivative of t(l) wrt l?\nAnswer: 360*l - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l - 3*l**2 + 11*l - l + 0*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(0\/(-5) + 398441) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 73*f + 9. Let p(j) = j**2 - 37*j - 5. Let b(u) = -9*p(u) - 5*s(u). Determine b(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 2*m**2 - 2*m - 4. Let w(d) = d**3 - 6*d**2 - 6*d + 52. Let u be w(5). Give f(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40546 and -4.\nAnswer: -162184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 27. Let y = z + -17. Suppose 4*c - 8*c = -y. Solve -4*f + 24 = -c*w + 4*w, -2*w = -2*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*3356.\nAnswer: 130884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -41*p. Let b(j) = 2*j + 1678. Calculate b(g(o)).\nAnswer: -82*o + 1678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**4 + 620*s**3 - 23713*s**2\/2 - 6045*s - 1521\/2.\nAnswer: -(s - 39)**2*(4*s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 5*h - 5. Let j(k) = 2*k**2 - 4*k + 4. Let y(x) = -4*c(x) - 5*j(x). Let m(t) = -10*t. What is y(m(n))?\nAnswer: -200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 9. Let q be ((-6)\/8)\/(d\/20). Let g = 8 - q. Solve 4*s = -4 - 12, -g*s - 22 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m = -10248 - 2. Calculate the greatest common factor of 1476 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10951 is divided by 419.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.104 - -10.496. Let s = -11 + j. Let o = -984\/23 - -6934\/161. Which is the nearest to o? (a) 2 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 29 = 4*v + 6*t, 5*v = -3*t + 46. Calculate the remainder when v is divided by 2*38\/18 + (-18)\/81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:12 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from bkjjbjvbvbjbjmjjb.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + -1 + 14 + -25 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33549, -67097, -100645, -134193?\nAnswer: -167741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25932 - -25953. Solve 12*g = z - 81 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 873 divide 2424572424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 944120*t + 1553992*t + 1119664*t + 772678*t.\nAnswer: 4390454*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-3 - -3 - (-2 - -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.684362 centuries?\nAnswer: 568.4362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-3 - -6) - -5. Let w(d) = 2*d - 6*d - d**3 + 7*d**2 - 2*d + 4. Let u be w(f). Solve 0*n + n = u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**2\/2 - 8*j + 3. Let w be b(11). Solve w*h + 0 = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*t + 505*t - u = -25, 125 = 5*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = y - 0. Suppose t - 2*c = y + 62, 0 = t - 5*c - 72. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/9 - 110*c**3\/3 + 24038*c**2\/9 - 93034*c\/3 + 70004 = 0. Calculate c.\nAnswer: -222, 3, 11, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*q**2 - 39*q**2 - 49*q**2 - 39*q**2 - 36*q**2 + 221*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + -48 + -75 + 72?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.15066365 to 3 decimal places.\nAnswer: 2.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 5\/25*5. Let z = -1 - -3. Differentiate x - 2*q**2 + 2*q**2 + 2*q**2 - 6*q**z with respect to q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8 = -14, 529 = -r - 4*x. Let v = -104 - r. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -21, -115, -297, -597, -1045, -1671?\nAnswer: -2505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -509288?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 444 = 4*r - 5*t, -4*r + 465 = 3*t. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -1478?\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -39*u - 302. List the prime factors of k(-33).\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in -1\/8, -10, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 905818769?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -648 (base 11) to base 14.\nAnswer: -3d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - f**2 + 14*f + 1. Let s(v) = -741*v**3 + 3*v**2 + 51*v - 23. Let d(o) = -3*h(o) - s(o). Find the second derivative of d(j) wrt j.\nAnswer: 4428*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 12*j - 3. Let l be v(-9). What are the prime factors of 160\/l + (-2)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 844876585 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -173144125.7 to the nearest 1000000.\nAnswer: -173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 11:21 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*t + 6003028 = 6045208 for t.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = 4*d. Let x(h) = -7*h**2 + h - 1. Let r(t) be the second derivative of -t**4\/12 + 24*t. Calculate d*x(k) - 6*r(k).\nAnswer: -k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/4 - s**3\/6 - 3*s. Let c be b(1). Find the common denominator of 19\/4 and c\/4*452\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 889 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-4 - sqrt(720))**2 + (sqrt(5) + (sqrt(10)\/sqrt(2) - sqrt(5))**2 + 2 - sqrt(5)).\nAnswer: 18002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 20059576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 48 = 0. Suppose 0 = 2*y - 5 - 1. What is the highest common divisor of g and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 15*p - 13*p. Let d = 35 - 15. Solve -d = -p*u + 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 40 = -5*m, -5*m - 3*h + 15 = -h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-27))\/(((-675)\/(-165))\/(-15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1675596.78 rounded to the nearest one thousand?\nAnswer: -1676000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 46. Let o be (2\/(-6))\/((-14)\/f). Factor 0*c - 1\/2*c**2 + 0 + 1\/2*c**4 - 1\/2*c**3 + o*c**5.\nAnswer: c**2*(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-seven quarters of a day?\nAnswer: 24120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let z = 1 - t. Let i(p) = 2*p + 0 + z. Let s(c) = -c**2. Give s(i(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2. Suppose -3*o + 14 = 5*g, 0*o = -g - o + 2. Let l(i) = -g*i + 4*i + 2*i. Determine b(l(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -933, -904, -875?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15740635 is divided by 5902.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 968781, 968773, 968765?\n\"Answer: -8*m + 968789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/12)*i*i))\/i**(1\/4))\/(i**(2\/7)\/(i\/(i**0*i*i*i*i)))*((i\/i**(-3\/4))\/(i\/i**(-2\/17)))\/(i**(2\/7)*i\/(i*(i\/((i**0\/i)\/i))\/i)) assuming i is positive.\nAnswer: i**(-3245\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3, u - 6*p = -7*p + 20. What is the remainder when 26 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1093*n**2 - 4*n. Let l(j) = -2*j. Calculate l(m(q)).\nAnswer: -2186*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109460, -440630, -992580, -1765310, -2758820, -3973110, -5408180?\nAnswer: -7064030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33735, 134911, 303541, 539631, 843187?\n\"Answer: i**3 + 33721*i**2 + 6*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23662*y**3 - 852*y**2 - y - 2.\nAnswer: -141972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14595 divided by -4865.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(17\/5))\/(t**(-5\/2)*t)*t*t**(-15)*t*t**(-1\/7) assuming t is positive.\nAnswer: t**(-983\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 0*n**3 + 0*n**4 - 3*n**2 + 2\/5*n**5 + 0 + 1\/30*n**7 + 0*n + 0*n**6. What is the third derivative of y(r) wrt r?\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49243 is divided by 7032?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 - 135*d**3\/4 + 103*d**2 - 69*d.\nAnswer: -d*(d - 2)*(d - 1)*(d + 138)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 o when three letters picked without replacement from {m: 2, o: 2, h: 1, n: 7}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 8. Solve 0 = 2*v - 2*b - a, 12 = 5*v - 0*b - 4*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 14474 = -3*t, -2*t - 10850 = -3*a + 3*t. What is the greatest common divisor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-815)\/400 - -2)\/((-7)\/112). Factor -12*g**2 + y*g**3 + 114\/5 + 51\/5*g.\nAnswer: 3*(g - 19)*(g - 2)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*x - 2. Suppose -5*q = -3*d - 6367, -2*q + x*d + 2543 = -3*d. Suppose -q = -7*j + 203. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-4 + 3)*1. Let s = -0.56 - -0.66. What is the second smallest value in 4, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/245981 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (68 - 30 - 33 + 4*q)*(-12*q**2 + 983*q - 983*q) in the form p*q + c*q**3 + k + j*q**2 and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*o = -24, -24 = -4*k - 3*o - o. Solve 2*u = -5*m - 17, 2*m + 0*m = -u - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25.38 (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 12*k**3 + 11*k - 9*k**3 + k**2.\nAnswer: 3*k**3 - k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - -22. Let y = z + -78. Suppose 6*t = 2*t + y. Solve 2*g - 2 = t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19997986 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/16)\/((-5)\/20))\/(36\/312).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/18)\/((-9)\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 7*w**4 + 2*w**2 + 11*w - 6*w - w**2 + 2*w**3 as x + f*w**4 + m*w**3 + p*w**2 + i*w and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 116, 257, 424, 617, 836, 1081, 1352?\n\"Answer: 13*g**2 + 102*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7414*n + 1524*n - 18727923 + 18718044 wrt n?\nAnswer: 8938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*m**5 + 0*m**3 - 4\/7*m**4 - 2\/7*m + 0 + 4\/7*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 - 97224*l**3 - 590976052*l**2 - 2362737648*l - 2362348816.\nAnswer: -4*(l + 2)**2*(l + 12151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 z when four letters picked without replacement from aazzz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 less than or equal to 487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5415*s + 238266. What is v(44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -165. Let t be (76\/a)\/(-3*(-2)\/21). Suppose -t*m - 204 = 8*q - 10*q, -308 = -3*q + 5*m. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1561815 = 5*u. What is the hundreds digit of u\/(-105) - 6\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 910468 - 187532 = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 511\/147 - (2 + (-25)\/(-5)) and 35\/1179.\nAnswer: 8253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 4, -5, 33 in decreasing order.\nAnswer: 33, 4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 + 2 = 0. Let m(l) = 3*l**4 + 5*l**3 + 7*l**2 + 7*l. Let f(r) = r**4 - r**2 - 1. Let n(y) = x*f(y) - 3*m(y). Factor n(d).\nAnswer: -3*(d + 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-16430\nAnswer: -16435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/110 - (-2 + 9 + 1683\/(-170))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.059 + -3.979. Let d = 0.08 - s. Sort -1, d, -0.2.\nAnswer: -1, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32678368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2\/21)*b**(-9)*b assuming b is positive.\nAnswer: b**(-149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.5, 2\/11, -1\/22 in descending order.\nAnswer: 3, 0.5, 2\/11, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -0.5, 4, -5\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 115*x + 805. Is b(50) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-21)\/t)**(-4\/11)\/(t**(3\/17)*t)**7 assuming t is positive.\nAnswer: t**(-4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 666, 1332, 1998?\n\"Answer: 666*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1813.6644 + -1813. What is c rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*z**3\/3 - 1421951*z**2\/3 - 32317*z.\nAnswer: -z*(z + 32317)*(44*z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835 + 335 + 496 + 61*i.\nAnswer: 61*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*j**2)*(-11 - 11 - 4).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -20. Suppose s = 5*n - 4*n. Is n less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160514371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c)**(19\/3) assuming c is positive.\nAnswer: c**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6491\/24 + -1655\/6. What is the common denominator of 107\/100 and t?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 2*b**2 - 3 + b**2 + 5*b**2 in the form a*b**2 + q*b + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52273 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -2 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22452 divided by -11226.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 3 (c) 79.5 (d) -9\/7 (e) 2\/9 (f) -1\/4 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -260, -277, -300?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 1227 = 749. Calculate the highest common factor of 57 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 990.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 - 74 = 10*k. Let s(f) = 13*f**3 - 7*f + 7. Let v(x) = -4*x**3 + 2*x - 2. What is k*s(c) + 21*v(c)?\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 533, 823, 1087, 1331, 1561, 1783?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1044)\/(-11))\/6 - 6\/(-33). Suppose -t*d + 32*d = 3456. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 6:30 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8962, -8960, -8956, -8950, -8942, -8932, -8920?\nAnswer: -8906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2358 - -0.3048. Let c = -477208.06900128 + 477208. Let k = p + c. Round k to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30918\/55 + -561. Find the common denominator of c and 13\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 3*g - 1. Let h be q(-2). Factor 24*j**2 + 8*j**4 - 2*j**3 - 5*j**4 - 12*j - h*j**3.\nAnswer: 3*j*(j - 2)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {l: 8, u: 1, y: 2, i: 7, p: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -10, 14, -5 in increasing order.\nAnswer: -10, -5, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21273 - -106817\/5. Let d = l - 90. Factor -32\/5*m**3 - d - 18\/5*m - 48\/5*m**2.\nAnswer: -2*(m + 1)*(4*m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.1 - -7.2. Let n = c - -7. What is the third biggest value in n, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1. Suppose -42*m - 58 - 14 = 30*m. Let r(a) = 78*a + 3. Give m*r(y) - 3*v(y).\nAnswer: -78*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 14*d - 3*d - 15*d + 0.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 11 = 2*b, -72*b = -8*x - 69*b + 26 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + (14 - (6 - 4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 865457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 2\/7 (b) -38\/31 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*y + 8 = -2*q + 270*y, -16 = -5*q - 2*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = 2*d, -2*d + 0*d + 2 = 3*q. Let x be (-16 - -2 - d)\/(-1). Suppose -x - 4 = 4*t. Which is the second smallest value? (a) t (b) -2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 16*j = -808. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-7)\/y))\/y*y**23*y)\/(y\/(y\/y**(-1\/4))*y\/((y\/((y\/y**(-11)*y)\/y)*y)\/y*y)) assuming y is positive.\nAnswer: y**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(684) + 1*sqrt(684) + sqrt(684))**2 + -2 + -2*sqrt(2736).\nAnswer: -18470 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.808021 years?\nAnswer: 0.4808021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14224 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31565 (base 10) to base 13\nAnswer: -114a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**4*v**3 + 798*r**4*v**2 + 10*v**3 + 8*v**2 wrt r.\nAnswer: -8*r**3*v**3 + 3192*r**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dydyyyd. Give prob of picking 4 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174000 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*a**2 - 132*a?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -836*s + 181*s**2 - 813*s + 1654*s in the form b*s + k*s**2 + f and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*58*15\/(-12). Is (d\/(-2) - 4) + 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b - 11. Let m(u) = -u - 1. Let y(k) = 3*m(k) - t(k). Calculate the smallest common multiple of y(0) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -51, -129, -253, -429?\n\"Answer: -g**3 - 14*g**2 + 11*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 5*g. Solve -1\/2*r**4 + 0*r**3 + r + g + 3\/2*r**2 = 0 for r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -16*j - 54. Let l = 3 + j. Let t be 0 + 4 + 65\/l. Is t < -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.06944 kilometers to meters.\nAnswer: 72069.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 23. Let m be s(15). Let n be (27\/6)\/9*m. Determine f so that -n*f**3 + 32*f**2 - 32*f**2 - 2*f**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1089549 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 117 + 5?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 186, 284, 382?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -12. Find the third derivative of -g**3 - 41*g**2 + 1 - o + 29*g**2 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 4. Let c be v(-2). Suppose s - 3*a - 2 = c, s - 1 - 8 = -4*a. Solve s*l + 3*m + 19 + 4 = 0, -6 = l + 2*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-10)*2*1. Suppose 0 = -3*b + 7 - n. Factor -2*p + 2*p + p**b + p.\nAnswer: p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/68 + 2\/12. Let p = 0.24 - 0.14. What is the nearest to p in g, 1, -4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*r + 32, -16 = -2*r - 3*i - i. Calculate the least common multiple of 37 and r.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**4\/4 - 10*s**2. Let b be h(2). Let u = 15 + b. Solve -4 + u = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10424 (base 5) to base 7.\nAnswer: -2104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**2 - 2498311098*s - 520129861865830467 = 0.\nAnswer: -416385183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(3\/84*56\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + 42\/8. Let c be 91\/(-28) + 3 + (-15588)\/(-16). Suppose i - 3*m - 273 - 53 = 0, 3*i - c = b*m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240274 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -4 (c) -24 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -0*a + 7*a + 266 - 473 + 356, -120 = 5*a + 2*s for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 940088*k**2 + 827 - 322*k**4 - 940088*k**2 wrt k?\nAnswer: -1288*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and -1297.82?\nAnswer: 1297.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -5*p**7\/42 + 3*p**6 - 55*p**5\/2 + 335*p**4\/3 - 455*p**3\/2 + 245*p**2 - 63*p. Let t(c) = 0. Calculate c.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 159\/4 in -0.4, -10, -1\/2, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4665 or 1?\nAnswer: 4665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1)\/((-7)\/(-3815)). Calculate the common denominator of (6 + 455\/(-77))*1\/(-2) and y\/(-1190) + (-12)\/21.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, b: 6, j: 3}. What is prob of sequence bjj?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4420468 and 6344.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-20)\/12 + -4). Let i be (-58 - 0) + (p - -19). What are the prime factors of i\/12*36\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1772, -97, 5 in decreasing order.\nAnswer: 5, -97, -1772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*k**2 + 20*k - 20*k.\nAnswer: -278*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 12. Suppose 0*l + 2*l = i. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51\/124 + -5\/31. Suppose 5*j + 22 - 73 = 2*a, -5*a - 150 = -5*j. Let i be (-2)\/(-6)*a\/(-22). What is the nearest to s in i, 0.01, -0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3622*j - 347*j - 72050 = 0 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-6)*360\/(-96). Let n be 39\/45 + (-2)\/l. Let d = -0.2 + 0.14. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j + 504 = -329*j - 220*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 13 + 5*f - 5*f - 6 - 2*f. Let g be -1 - (-6)\/((-2)\/(-2)). Let x be b(g). Let t(s) = -2*s. Let y(i) = -i. What is x*t(z) + 4*y(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 3*c**3 - c**3)*(-205*c**2 + 11*c**2 + 6*c**2).\nAnswer: 188*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4, 13, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000381 to six decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3894 and 145\/342672.\nAnswer: 342672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10023 (base 5) in base 6?\nAnswer: 2542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 332854*y**3 - 16876*y**2 + 2*y - 1 wrt y?\nAnswer: 1997124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 30*j**3 + 4512*j**2 + 4480*j.\nAnswer: -2*j*(j - 56)*(j + 1)*(j + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v**10\/v)\/v)))\/v**(-5)*v**(-1)\/v**(1\/8) assuming v is positive.\nAnswer: v**(95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2*b*b*b*b\/(b**(-3)*b)*(b*b*b\/(b*b\/(b**4\/b)*b)*b)\/(((b**(-1\/2)\/b*b)\/b)\/b) assuming b is positive.\nAnswer: b**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/763873 and -57\/142417.\nAnswer: 8402603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7084)\/(-1232))\/(-5 + 84\/16) - 2*5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -8. Let r be ((-28)\/(-10) - -2)*5. What is the highest common divisor of u and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254788248 divided by -1144\nAnswer: 222717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 140 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3481 + -3485. Let u = 68 - 15. Which is the closest to 3? (a) y (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18527181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-78))\/((-18705)\/(-85869)) - (-228)\/(-494).\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*g - 3 = 215*g + 6*x, -g + 3 = -x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1724168247 to the nearest integer?\nAnswer: 41523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15613*s**4 + 2*s**3 - s**2 + 3*s - 866218.\nAnswer: 62452*s**3 + 6*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*t = 1166 - 440, -2*l + 2*t = -1452. Calculate the remainder when l is divided by 718.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2 + 2)) + -4 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 245407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 8*l - 77. Give o(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 41*u - 228*u**3 + 36*u**2 + 232*u**3 = 0. What is u?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 135\/(-36) + (-2)\/8. Let m be g - 0 - (-13)\/1. Suppose 6*q + 9 = m*q. Solve 0 = 2*o + 5*d - q, o - 2*d - 3 = 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 893, 1733, 2573, 3413?\n\"Answer: 840*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 10*a**2 + 16*a - 1. Let v be g(9). Calculate the greatest common factor of v and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*x**2 - 139*x**2 - 117*x**4 - 5*x + 2*x**3 + 119*x**4 - 28 in the form c*x**4 + s*x**3 + h*x + u*x**2 + a and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43144 - -11033340?\nAnswer: 10440141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**5\/30 - q**2\/2 - 2. Let w(m) be the second derivative of y(m). Let x(r) = -2*r**2. Calculate w(x(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -53220344?\nAnswer: -53220340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-7) - (-18)\/7. Suppose l*y - k = -2*k + 252, -y + 4*k + 144 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 4:09 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1174, 2362, 3552, 4744, 5938, 7134?\n\"Answer: y**2 + 1185*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or 7\/74265?\nAnswer: 7\/74265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 2\/5 (c) -4\/9 (d) -0.088\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 67*i**2 - 437*i + 9. Let k be m(-6). Solve 13 = -k*a + 37 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -367, -1, 77, -0.4, -11 in ascending order.\nAnswer: -367, -11, -1, -0.4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-1) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52*3\/42)\/((-96)\/(-336)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + q = 3*l + 16, 0 = -2*l - 3*q + 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 + 5 = 0. Let v = 2 + x. Let j(g) = -g**2 - 3*g - 2. Determine j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 323, 0.0509, 3 in increasing order.\nAnswer: -3, 0.0509, 3, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 0*c**2 - 1 + 183*c - 35*c + 3*c**3 - 54*c - 13*c as n + d*c**3 + m*c**2 + v*c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -0.5 (b) -1294 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53608655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -163, -313, -497, -727, -1015, -1373?\nAnswer: -1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28147 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(484)*-1)\/sqrt(2) + (1*sqrt(18) - (sqrt(2) + 1*sqrt(2) + -2)).\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 + 9200*d**4 + 3726560*d**3 - 465004800*d**2 + 12773479680*d.\nAnswer: 5*d*(d - 52)**2*(d + 972)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531372?\nAnswer: 2, 3, 44281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odd when three letters picked without replacement from vddoado?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1e77 (base 16) to base 6\nAnswer: 100035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 952597357 + -2.\nAnswer: 952597355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*l**(-4))\/(((l\/(l**(-1\/7)*l))\/l)\/l**(-4\/7)) assuming l is positive.\nAnswer: l**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 - 4*y**4 + y**4)*(-37 + 193 + 12).\nAnswer: -504*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14 + 2 - -9 - 12\/((-16)\/4). Solve r = 3*q + 58*f - 57*f + 1, 0 = 4*q - 5*f + 33 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - f + 1. Let h be a(-5). Is h equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x - x**2 + 3*x**2 - 3*x**2 + 3*x**2 as g + y*x + w*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/9 + 740*c**2\/3 - 118384*c\/9.\nAnswer: 4*c*(c - 49)*(c + 604)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -32126?\nAnswer: 32130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.45225um to kilometers.\nAnswer: 0.00000005945225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005548064744 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10158?\nAnswer: 2, 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 29034.5712 to the nearest 10.\nAnswer: 29030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 24*t**2 - 30*t + 4. Let r be k(-25). Let q = 193 - r. What is the smallest common multiple of q and 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4304 by 68587.\nAnswer: -4304\/68587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/2))**(-3\/40))**33 assuming c is positive.\nAnswer: c**(-99\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (9 + 0\/1). Suppose c - 3*w + 4 + 3 = 0, -4*c + 3*w + 17 = 0. Let f(o) = -o + 1. Let p be f(c). Are p and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0026974 micrograms to nanograms.\nAnswer: 2.6974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2. Suppose -5*b - 260 = -900. Let a = -772 - -774. Let q(x) = 5*x**a + 128*x - b*x. What is q(o(f))?\nAnswer: 45*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*t + 89*t + 448. Suppose 4*u + 48 - 80 = 0. What is the highest common divisor of t and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 902 + -902.649. What is s rounded to 2 decimal places?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or 8?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 4*p**2 - 2*p**2 + (0 + 3 - 2)*(-p + 2*p**2 + p) + 115*p - 30*p - 3 + p**2 - 19*p.\nAnswer: 5*p**2 + 66*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + (sqrt(1664) + -2*sqrt(1664) - sqrt(1664)) + sqrt(936)*2)\/(sqrt(20)\/sqrt(250)*2) + 0.\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65837745 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4696 is divided by 336?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -184.87 and -7461.\nAnswer: -7645.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((-11)\/(-55))*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 138\/(-4) - 1 - (-5)\/(-10). Let z be (c\/(-2))\/((-12)\/48). Let h = -74 - z. Put -1, h, 0 in ascending order.\nAnswer: h, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o + 183 = 59 - 768 - 1740 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31a (base 13) to base 15\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 - 3*h**2 - 5*h - 2. Let f(q) = 2*q**3 - 2*q**2 - 4*q - 1. Let l(n) = -4*f(n) + 3*m(n). Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.303 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -58*p - 84*p - 85*p - 120*p**2 + 112*p - 5*p**3 = 0.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 2. Let n be i(-2). Let p = 213 - 208. Let m = 0 - 0. Sort n, m, p.\nAnswer: m, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5036 * -60.\nAnswer: 302160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110332 (base 4) to base 15.\nAnswer: -5e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*f - 98*f - 258*f - 26*f.\nAnswer: -480*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -2625 and -1267 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 9\/(-4))\/((17963\/(-92))\/(-71)). Which is the fifth smallest value? (a) 7\/2 (b) y (c) -5 (d) 0.2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*h - h - 9 = 0, 5*n - h + 27 = 0. Sort 3, -2, 2, n in decreasing order.\nAnswer: 3, 2, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**3 - 12*v**2 - 3*v + 11. Let f(n) = 4*n**3 + 6*n**2 + n - 6. Let s(r) = -3*a(r) - 5*f(r). Let q be s(-5). Is q at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -10. Let n be j\/4*(-28)\/7. Suppose -115 - 113 = -4*w + n*r, 2*r - 285 = -5*w. What is the remainder when w is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*s**2 - 17*s + 947*s**4 - 1722*s**4 - 18*s wrt s.\nAnswer: -18600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27177071, -27177072, -27177071, -27177068, -27177063, -27177056, -27177047?\n\"Answer: w**2 - 4*w - 27177068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 2*w + 2*w**5 + (-4 + 1 + 5)*(w**5 + 0*w**5 + 0*w**5) + 0*w**5 + 6*w**5 - 3*w**5 + 0*w**2 - w**5 + 0*w**2 - 2*w**2 - 2*w**5 + 2*w**2.\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u**2. Let t(r) = -909*r - 1273. Let z(j) = -133*j - 182. Let d(v) = -6*t(v) + 41*z(v). Calculate d(s(h)).\nAnswer: -11*h**2 + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -m + 406. Let s = m + -44. Let x be ((-6)\/10)\/((-3)\/105). Calculate the highest common divisor of x and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20392.\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 6. Let t(c) be the second derivative of -c**2\/2 + 1660*c. Calculate b(u) + 2*t(u).\nAnswer: -3*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 != -22\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 10*g**3\/3 + 43*g**2\/2 - 36. What is the second derivative of l(s) wrt s?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 2, o: 14, p: 1}. Give prob of sequence oo.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 1. Suppose q = 4*w + 11, 3*w + 31 = -5*q - 6. Let g be i(w). Sort -4, 0, g.\nAnswer: g, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154b - -5959?\nAnswer: 440b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c = 17 + 17 - 214 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2 + 67788*q + 219184200 = 0?\nAnswer: -2778, 19725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1389 or -72480?\nAnswer: 1389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -l + 3*l, 4 = -2*l + u. Suppose 0 = -4*a + 19*p - 20*p + 22, 3*a + p = 17. Factor 2\/3*w + 0*w**4 + 16\/9*w**2 - 2\/9*w**a + 4\/3*w**3 + l.\nAnswer: -2*w*(w - 3)*(w + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 4\/348685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.66 from -16.\nAnswer: -15.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z - 23. What is the units digit of o(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8289.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221414 is divided by 1467?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**6\/15 - d**5\/5 + d**4\/2 + 2*d**3 - 103*d**2 - 1. Let b(u) = -u**3 + u**2 - u - 1. Give 48*b(q) + 4*l(q).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 192 - 189. Solve -6 = -z - f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 40. Let j be ((-12)\/g)\/(39\/4). Which is the third biggest value? (a) j (b) 0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 44 = 4*y, 7*d - 4*y = 2*d + 46. Suppose 0 = 4*v - 2*z - 0*z - d, -2*v = 3*z - 1. Suppose -v*i = 3*m + 67 - 314, 5*m + 5 = 0. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {m: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 16*o + 65. Let s = -337 + 326. Let w be y(s). Which is smaller: 121 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7692*s - 20544 = 7680*s. Calculate the greatest common factor of 272 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from ydjyyjydyj.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2045691 in decreasing order.\nAnswer: 2045691, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4810*r + 42792 = -48598 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 18*g**2 + 25*g - 6. Let m be x(17). Let o = m - -5. Calculate the remainder when o is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 + 1927*s - 6. Let p(x) = 4*x**2 + 1928*x - 8. Let w(g) = -3*p(g) + 4*z(g). Determine k, given that w(k) = 0.\nAnswer: -481, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*u = 440*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -906368 divided by 906368.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-198)\/(-10))\/(2\/(-60)*-6). Let k = u - -13. Let n = 37 + -21. Calculate the greatest common factor of n and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-744)\/680 + 24\/30. Is -3 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -13*f + 18. Let y(s) be the third derivative of 2*s**2 + 1\/36*s**4 + 2\/9*s**f - 1\/180*s**6 + 0*s + 0 - 1\/30*s**5 + 1\/315*s**7. Factor y(u).\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/70)\/((-1)\/(-7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35947 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**3\/3 + 3*n**2\/2 - 6*n - 1481. Calculate r(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3, 2*x + 22 = -4*f + 88. Let y = -98 + 103. Let d be -1*(-31 - -8 - -19). Solve -4*q + 26 = -y*j - 0, -f = d*j - 2*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865708310 rounded to the nearest one million?\nAnswer: 866000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/123, 4, -0.2.\nAnswer: -0.2, 2\/123, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -30*q**2 + 97*q - 91. Determine k(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 11*r**2 + 18*r + 3. Suppose 3*i - 2*w = -3*w + 19, -2*i - 2*w = -6. Is a(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1988, -1993, -2002, -2015, -2032?\n\"Answer: -2*c**2 + c - 1987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - m = 30, -3*m + 52 = 2*i - 33. Suppose -5*q - i = -0*q. Let p be 18 + q + (-1 - -5). Solve 2*l + l - p = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -4*g**4\/3 - 5*g**2\/2 - 53*g + 12. Let t(z) = 24*z**2 + 8. Calculate 5*t(a) + 8*v(a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1552, 3120, 4678, 6220, 7740, 9232, 10690?\n\"Answer: -s**3 + s**2 + 1572*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by 30\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 33114?\nAnswer: -11\/33114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2006 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 2*a - 16, 5759 = t + 2*a + 5767 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216553476 a multiple of 4614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqci when four letters picked without replacement from decipqd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 703, 563, 545, 649?\n\"Answer: 61*a**2 - 323*a + 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1195835, -1195826, -1195805, -1195772, -1195727, -1195670, -1195601?\nAnswer: -1195520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1965506 is divided by 115617?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = -11*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:17 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297702 is divided by 187?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 13 = -5. Let t(x) = 9*x**2 + x - 1. Calculate the remainder when t(-2) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -272.22 - -4.22. Let i = g + 268.000131. What is i rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 2. Let k(t) = t + 1. Let c(n) = -5*k(n) - 6*y(n). Let m be ((-10)\/(-3))\/((-2)\/(-3)). What is the tens digit of c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.676 - 2.676. Let o = 0 + -1. What is the closest to o in 0.1, -4, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 217*b**2 - 881*b - 661. What is g(221)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -14, 0.5, -5\/3, -0.19, 23.\nAnswer: -14, -5\/3, -0.19, 0.5, 3\/5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10934813, 21869443, 32804073?\nAnswer: 43738703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18341914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11*h)\/((h\/h**(-1\/6)*h)\/h)*(h**(-4\/5))**(-6) assuming h is positive.\nAnswer: h**(469\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -67*r - 1468. Give l(-25).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*s**2 - 96*s - 2*s**3 - 3*s**4 - 36 + 8*s**3 - 36*s**3.\nAnswer: -3*(s + 1)**2*(s + 2)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 4)*(-1 + 2 - 2) + 0 + 0 - 9 + 2 - 6 + 1)*((2*c - c + c)*(-5*c + 2*c + 4*c) + c**2 - 3*c**2 + 3*c**2).\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*n + 20 = -2*l, -l = -2*n - 5. Solve -l*g - 3*r = -2*g - 15, 3*g = -4*r + 19 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/140)\/(4 + 185059\/(-46265)). Let i = d - 2639. Factor 162\/7*h + 3\/7*h**5 + 243\/7*h**2 + i*h**4 + 135\/7*h**3 + 0.\nAnswer: 3*h*(h + 2)*(h + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 13 = 2*f + 3*o, 0 = -5*f - 3*o + 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -50, -16, 1, -4502, -5 in descending order.\nAnswer: 1, -5, -7, -16, -50, -4502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/34 - -2 - ((-15903)\/(-1377) + -14)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117471213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*l - 4*v - 4, 2*l - 8 = -2*v. Let r(o) = 17*o**2 + 42*o - o**3 - 6*o - 24 - 15*o. Let y be r(18). Solve -5*u - y + 10 = l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134 + 15 - (-9 + -3) - -3) + 14?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o. Let q(k) be the second derivative of 5*k**3\/2 + 627*k + 1. Calculate 4*q(s) + 10*u(s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*g - 12 = -0*a, 18 = 3*a + 4*g. Let u(d) = -2*d + 2*d - 2*d. Let w be u(-1). Calculate the highest common divisor of a and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: a51 (base 14) to base 5\nAnswer: 31111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85109 (base 11) in base 9?\nAnswer: 207871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*s = -17, -4*s + 3*s = -3. Let m be (t - 102\/(-27))\/((-4)\/(-6)). What is the second biggest value in 2\/7, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -12. Put 5, o, 1 in descending order.\nAnswer: 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -2745?\nAnswer: 2749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 18. Let m(c) = c - 6. Let a be m(z). Suppose y - 4 = -o, -a*o + 6*o = y + 4. Sort 1, 3, o in decreasing order.\nAnswer: 3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9586.896 nanometers?\nAnswer: 0.000009586896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, w: 1, x: 1, j: 7}. What is prob of picking 1 x and 2 k?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7980\/90)\/(-38)*13\/(2730\/612)?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/16)\/(3\/(-11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**5*m**2 + 171*d**4*m**2 - 894*d**2*m**2 wrt d?\nAnswer: -240*d**2*m**2 + 4104*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 7. Let x = 4 + i. Solve x = b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 83 = -439. What is the second derivative of 89*s**3 - 7 + 7 + 14*s**2 - 24*s - m*s**3 wrt s?\nAnswer: 12*s + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - 3) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by 6\nAnswer: -176\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2*(54 - -2). Suppose -h + 35 + c = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 710 divided by -1.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321 - -332.47209.\nAnswer: 653.47209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 18)*(-16*d - 29*d + 12*d).\nAnswer: 660*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (-170)\/(-27))*6\/4.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/53573442 and -5\/1806?\nAnswer: 375014094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2 - (-121 - -119)) + (-71 - 4)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -74. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -20 + 11 + -8 + -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-448)\/48*33\/(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 1, u: 13, a: 2}. Give prob of sequence aib.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2. Suppose 0 = -4*s + 1 + 15. Suppose -5*x + 5*y + 30 = 0, -s - 8 = -5*x - 4*y. Suppose 0 = -2*a + 6*a + x. Determine j(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1557027 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 116 + (-77 - -31).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (64 + -32 + -2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168213 (base 9) to base 4.\nAnswer: -121133211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, s: 3, q: 2}. Give prob of picking 1 e and 1 q.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35308526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221976278*a**5 - 5882649*a**2 + 6*a + 1 wrt a.\nAnswer: 13318576680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvf when three letters picked without replacement from fvfv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) - (sqrt(228)*2 + sqrt(228))*3 - sqrt(228)) - sqrt(228)) + sqrt(228))\/(sqrt(144)\/sqrt(768)).\nAnswer: 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 33 - (-5 + (26 - 7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 243067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c = -94*c - 125 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -493254, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254435.\nAnswer: 5, 450887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m**2. Let k(i) = 7*i. Suppose 5*r + r + 30 = 0. Let s(z) = -z. Let h(p) = r*s(p) - k(p). Calculate h(d(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 6. Let x be n(7). Suppose -x = -g + 4. Suppose 2*d - 8 = -4*s, 0 = -g*d + s + s + 20. Solve d = -5*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 4:32 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553814.\nAnswer: 2, 276907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 628.3167 + -628. Put -0.3, m, -0.5 in descending order.\nAnswer: m, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 5:13 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11695 a factor of 2995264004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -752021 and -752066 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -2816253.\nAnswer: -2816253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13120.072 - 13163. What is t rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -31. Suppose 4*h - 9 = -2*r + p, 5*r - 3*h - 56 = 0. Solve -3*k = -k - r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2586, -2390, -2196, -2004?\nAnswer: -1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 3. Let p be c(-3). Suppose 0*y = -2*y - 4*s + 38, 0 = 4*s + 8. Let j = y + -19. Sort p, j, -4.\nAnswer: -4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 63 = -129. Let u be (2 + 3)*(7 + 3 + o). Let j(g) = -g**2 - 4*g - 1. Give j(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4579796003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46721 - -84081. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(2*k - k - 3*k) + 7 - 2*k - 2 + 7.\nAnswer: -6*k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1520 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15391 by 25.\nAnswer: 15391\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3914928 by -62.\nAnswer: -63144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*(-1 - (1 + 15\/(-9))). Let y be (7 - f)*(-5)\/3. Suppose 3 - 18 = -5*r. Let k(s) = 5*s + 3. Let a(c) = 9*c + 6. Give r*a(x) + y*k(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 1.6. What is the biggest value in l, -0.1, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*c - 3044, 2*c + 1267 = -a - 1801. Let q = 12719 - a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50526047 is divided by 1043.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z + 8. Suppose 19*r - 20*r = -z. What is the remainder when (r - 5)*5*-3 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*d**2 - 522*d + 410*d**2 - 260*d**2.\nAnswer: 231*d**2 - 522*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -698661 divided by -1563\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**3 - 35*u**2 - 485*u wrt u?\nAnswer: -18*u - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -26, -0.3, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15207263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 553 - 195. Calculate the remainder when o is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.061991725 + 3.062. What is f rounded to 7 dps?\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473402472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 340843935*n**2 + 211007915*n wrt n.\nAnswer: 681687870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 1.46?\nAnswer: 1.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5+-52563\nAnswer: -52568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1475 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 44625*o + 33 = 44622*o, -4*v - 3*o - 29 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -6*v**2\/5 + 1164*v\/5 - 56454\/5 = 0.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101100101 + 101?\nAnswer: -11011101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 212217 = 212313 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 825 = 711. What is the highest common divisor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) - sqrt(38)\/sqrt(18)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 106358?\nAnswer: 1063580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 - 3)*(3*s - 2 + 2) + (0 - 6 + 4)*(-2*s + 2 - 2) to d + q*s and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3)\/c)**46*(c*c**(-1\/19)*c*c)\/c*c*c*c\/c**(-1\/3)*c assuming c is positive.\nAnswer: c**(-1390\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122671.\nAnswer: 61, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 2300.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*g - 19, -5*g - 8 + 1 = 3*s. Suppose 0 = s*k - k - 15. Factor 1 + 4*t**2 - t**2 + t**k + 3*t + 0*t.\nAnswer: (t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:16 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 134672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*o - 70*o = 71*o + 560 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*(b**3\/b)\/b*(b*b**(3\/10))\/b**(-6))\/(b*b\/(b\/(b*b\/b**(-1\/9)))*b\/(b\/(b*b\/b**(-1\/8)))*b**(-2\/5)\/b**(-1\/8)) assuming b is positive.\nAnswer: b**(1321\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-14)\/m**(-1\/3))**(-15)*(m**5\/(m**7\/m))**(-9\/2) assuming m is positive.\nAnswer: m**(419\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -706 - -2926. Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - sqrt(24) - sqrt(24) - sqrt(24))*5 - sqrt(264)\/(sqrt(33)\/sqrt(3)))\/(1*2*sqrt(48)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -962 + 964. Put -0.5, n, -0.3 in descending order.\nAnswer: n, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 + 296. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - 8*r**2 + 11*r + 10. Let n be z(7). Suppose 5*i = i + n. Is i a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2925\/90 + 2\/4 and 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 5 (c) -1 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/112, -141, -192 in decreasing order.\nAnswer: 0.3, 1\/112, -141, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*r + 10, -25 = -5*d - 15*r + 12*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 8. Suppose -3*g + s*g = 4*c - 26, 4*c = -2*g + 24. Suppose o + g = -3. Is o >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 - 4*a + 6. Let z be b(-6). Let t be z*(-2)\/(-8)*-2. Suppose 4*u = u + t. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620 = 4*s + 4*d, -5*s = -3*d - 933 + 166. Calculate the greatest common factor of 56 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*j + 0*j + 6*j)*(5 + 0 - 4) + j + 0 + 0)*(10 + 21 - 3).\nAnswer: 56*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 288563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-8\/3))*r)\/(r*r**9\/r)*((r*r\/r**(-8))\/r)\/(r**(1\/20)\/r*r*r) assuming r is positive.\nAnswer: r**(-163\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**3 - f**3 - 2*f**2 + f - 2*f**3. Let t be k(1). Suppose 28 = t*r - 8. Solve r = 4*l, -6 = -3*g - 0*l + 2*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-229 - -180) + 36 + -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 6:49 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 4*b - 57. What is x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose b = -4*s + 9 - 1. Factor -3*h**5 - 2*h**3 + 5*h + 1 + 4*h**5 - 4*h**5 + 6*h**s - 7*h**4.\nAnswer: -(h - 1)*(h + 1)**3*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 504176.48 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**22 assuming f is positive.\nAnswer: f**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6aa685 + 4?\nAnswer: 6aa689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570 and 3762.\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/15*9 + (-2)\/2. Suppose -r + 20 = 3*r - 3*n, 4*n + 24 = z*r. What is the remainder when 78 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -317648\/35 not equal to -9075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*t + 145*t + 19*t)*(-5 + 5 + 1)*(4*t - 2*t - 3*t) to the form x*t + m + k*t**2 and give k.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-2*q + 2*q + q)*(-8*q**3 - 40*q**2 + q + 40*q**2).\nAnswer: -8*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110? (a) 0.2 (b) 4 (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2172.1 - 2173. Which is the third smallest value? (a) 21\/16 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1064 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 6 = -5*l, -5*i + 3*l + 26 = 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110353 + 778969*d + 110353.\nAnswer: 778969*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 638597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - sqrt(1053)*1*-1) + (sqrt(1053) - sqrt(1053)*-1 - sqrt(1053))*-4 - (2 + ((-2*sqrt(1053) - sqrt(1053))**2 + 0)*6))*5.\nAnswer: -284320 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 3610226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1462925 and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 220?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/14 - (-78)\/(-168). Suppose u = 2*h + 6, 3*h = 5*u - 3 + 1. What is the second biggest value in -0.1, i, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1. Let y(o) = o - 2. Let h(c) = 6*n(c) - 2*y(c). Suppose 0 = d + 1 + 6. What is the tens digit of h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1268 or 1261?\nAnswer: 1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b - 2 - 55*b - 84*b + 33*b as k + a*b and give a.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2 + 48. Let p(a) = -2*a**2. Give h(p(f)).\nAnswer: -32*f**4 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4))**(2\/29)*c**2\/c*c**5*c*c)\/(c**(-2\/13)\/(c*c**(-5)))**(-36) assuming c is positive.\nAnswer: c**(110419\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24173.73 days to minutes.\nAnswer: 34810171.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 18. Let a = 29.078372 - 38.0783. Let f = d - a. Round f to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, 7, -11, 9.\nAnswer: -11, 7, 9, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -1225*t**3 - 420*t**2 - 36*t = 0.\nAnswer: -6\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(sqrt(117) + (sqrt(117) - -4*(sqrt(117)*1 + sqrt(117)))))\/((-2*sqrt(1575))\/(sqrt(847) - (sqrt(847)*2 + sqrt(847)) - sqrt(847))).\nAnswer: -396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/3 - 2564*p**3\/3 + 2098918*p**2\/3 - 194605036*p + 17281974603 = 0.\nAnswer: 213, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33ab6 + -2?\nAnswer: 33ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 12) + 1 - (7741 + -7771).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Suppose t*y + 0*y = 25. Solve -2*z - 2*l - 2 = -0, z + 4*l - y = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2 and -34\/301?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(972)*1*-6)\/(((sqrt(432)*-1)\/sqrt(12))\/sqrt(4)))**2 + -4.\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 100. Let u be v(-14). Sort -4, -1\/3, u in ascending order.\nAnswer: -4, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 696 and 3480?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let j(l) = 2*l - 1. Let c = 505 + -513. Let i(z) = 6*z - 4. Let s(q) = c*j(q) + 3*i(q). Determine s(y(t)).\nAnswer: -4*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1 + (8 - 4). Does 8 divide 41 + v + -2 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -1. Let g(s) = s**3 - 5*s**2 + 5*s + 4. List the prime factors of g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5))\/(f**(-1\/9)*f)*(f*f*(f\/(f**(2\/7)\/f))\/f)**(11\/5) assuming f is positive.\nAnswer: f**(3491\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*z - 5. Let m(n) = z*n + n + 2*n. Let v(r) = 1. Let y(i) = 2*i + 5. Let t(a) = -5*v(a) + y(a). What is t(m(o))?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*u**2 - 176*u**2 - 335*u**2 to the form x + r*u + g*u**2 and give g.\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 3*w**2 - w + 4. Let b(q) = 11*q + 41. Let n be b(-4). Give s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -7*z**4\/24 + 2*z**2 + 8. Let f(j) = 6*j - 1. Give 5*f(d) + 4*k(d).\nAnswer: 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 divided by 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 9*h + 11. Give a(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/8 + 5 - (-99969)\/12 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71\/4 of a decade?\nAnswer: 2130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a8 (base 11) to base 2.\nAnswer: 10010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 2, z: 4}. Give prob of picking 1 i and 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1023465 and 24495?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -64, -5, -23, -1, 21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 21*x - 14*x. Suppose -2*y = 0, x - 4 = d - y. Factor 5\/2*a**3 + 0*a**d + 0 - 5\/2*a.\nAnswer: 5*a*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65117 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -13\/2*x**2 - 3*x - 12 - 1\/3*x**3. Is n(-11) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 3. Let c(t) = -t + 1. What is -4*c(n) - r(n)?\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-36))\/(108\/(-16) - -5). Sort 0.5, -2, u in increasing order.\nAnswer: -2, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 641 = 25. Suppose -2*r + 87 = 3*g, g + g - j = -4*r. Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = -4*k + 324. Let g be (-3)\/(k\/4) - (-38)\/(-6). Suppose 5*d - j = -5, -d = -j - 0 + 1. Which is bigger: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 161, -1, 1, -4 in decreasing order.\nAnswer: 161, 2, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 221*w**2 + 84*w + 223*w**2 - 454*w**2 in the form i*w + r + d*w**2 and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817 - 2261 + 17372 = -1659*a - 36160 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -514111096 divided by -5978036?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79406108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:56 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62820 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*q - 12*q - 226*q**3 - 81*q**2 - 19*q + 223*q**3 - 14*q as c + o*q**3 + y*q**2 + n*q and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5\/20 + a**3\/6 + 3*a**2\/2 + 2*a. Suppose 2*m = -3*u - 8, -4*u - 1 = 2*m + 9. Let p = -1 - m. Calculate k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28258528 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let z(f) = -12000*f. What is z(y(a))?\nAnswer: 12000*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3031*b*h**4 - 15*b*h**2 - b*h - 8*h**4 - 578*h**2 - 2 wrt h.\nAnswer: 72744*b*h - 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804152552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -52.1. Which is the second biggest value? (a) f (b) -5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-80)*4*-447. Let p = g + -269. Which is the nearest to -1? (a) 1\/3 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 37*t**2 - 263*t - 1081. Give f(-4).\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q - 3*u - 7, -5*u - 35 = -4*q. Let m be (-48)\/27 - (-5)\/(45\/(-2)). Let v = q - m. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66, -70, -86, -120, -178, -266, -390, -556?\n\"Answer: -d**3 + 3*d - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/10)\/(3\/75). Suppose 5*v + 6*c - 2*c - 147 = 0, -3*v - 5*c = -83. Let s = d + v. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -921300 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/(-4))\/(36\/(-72)))\/((-11)\/44)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8445117 = 71*k + 8442845 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1835*y**2 + 5536*y + 6. Determine g(3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1583930 and 1160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 3. Let i be l(-17). Suppose -6*z - 9 = -4*z + 5*g, -4*g = i. Solve -3 + z = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.27, -2, 2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103698 and 75474?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/37, 0.5, -63, 1, -9.82?\nAnswer: -9.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 + 214. Solve -5*z - 10 = 5*d, 5*d - 5 = 4*z - v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 0 + 0)*(-6436 + 8423 - 6638 + (-2 - 3 + 6)*(2 + 0 + 0)) to g*v**2 + m*v + t and give g.\nAnswer: 4649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 0.104.\nAnswer: 2.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -53*t - 426. Let m be h(-10). Calculate the greatest common divisor of m and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/120 + p**5\/15 + p**3\/2 + 7*p**2. What is f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2096080 and -5\/66192.\nAnswer: 6288240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/63? (a) 0 (b) -222\/5 (c) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3870584 years in months?\nAnswer: 4.6447008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609*g - 648*g - 656*g + 1917*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - p + 300. Let r = -65 + 65. Is v(r) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-17 - (-20 - -11))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/11)*d*d**(2\/15) assuming d is positive.\nAnswer: d**(157\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {u: 4, w: 10, i: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j**3 - 2*j**2 - 4*j + 273. Let n(u) = 37*u**3 + 9*u**2 + 18*u - 1092. What is 9*f(m) + 2*n(m)?\nAnswer: -7*m**3 + 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3630, -0.5, -7.73, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11925*98\nAnswer: 1168650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(3\/24). Let h(s) = s**3 + s. Let m(v) = -3*v**3 - 4*v. Let p(z) = z**3 - 5*z**2 - 6*z - 1. Let a be p(6). Calculate a*m(y) + w*h(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 44*v - 54. Determine h(45).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let c(s) = 2*s + 2. What is c(r) - 5*n(r)?\nAnswer: 7*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 5)*(-15 + 12 + 11*b + 3).\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -21*q**5\/80 - 17*q**4\/16 - 13*q**3\/8 - 9*q**2\/8 + q - 22. Let h(r) = 0. What is r?\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ereeprrsryrrrppyrn. What is prob of sequence yppe?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010457861 rounded to 7 decimal places?\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/20196 and 115\/227052.\nAnswer: 7492716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 7*t**6\/120 + 7*t**4\/12 - 9*t**2. What is the second derivative of w(u) wrt u?\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -206, -1520, -5040, -11858, -23066, -39756, -63020, -93950?\n\"Answer: -182*z**3 - 11*z**2 - 7*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 3\/5, 2\/19, -1, -8\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x - 11. Let z be d(-8). Let j = z + 72. Suppose a = -5*s - 20192939 + 4692941, 15499990 = -5*s - j*a. Round s to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -19, 2, -3.22, -98?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000913 to seven decimal places.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 12 + 3 = 2*d, -2*t = 2122*d - 2121*d - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2790)\/(-279) - (-1 - -5). What is the second smallest value in -3, -0.07, 1\/4, s, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 231*s - 9551312 - 4996606. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16765467*d**3*w**3 - 6000675*d**2 - d*w**3 wrt d?\nAnswer: 100592802*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-41.\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 0. Let q be 2\/6*(m + 0). Let x be (-1)\/2*q + 3. Solve 3*u - x*u + 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -336 - -296. Let m(q) = -345*q + 73. Is m(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216906 divided by -18\nAnswer: 36151\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -74*s**2 - 5*s + 5. Let b(i) = 209*i + 3293*i**2 - 36*i + 49*i - 222. What is -5*b(t) - 222*y(t)?\nAnswer: -37*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27928118*a**3*o**3 + 2*a**3*o**2 - 11*a**2*o - 2*a*o**2 + 29*a - 8*o - 3 wrt o?\nAnswer: -167568708*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 59. Suppose y = -k + 80. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-4)\/(-8)*4*1. Suppose z*h = 3*h - 3. Suppose m + 6 = q + 2, -28 = h*q + 5*m. Let i(b) = 11*b + 1. What is i(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 24. Let w = -88476.700022 - -88504.7. Let c = w + b. What is c rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1862750.4 months?\nAnswer: 15522.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96520 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -16 (c) -2748 (d) 2\/187\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2760990 and 1530.\nAnswer: 140810490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 114664.121 to the nearest one hundred.\nAnswer: 114700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b + 5. Let h(o) = -14*o + 10. Let q(n) = h(n) - 2*w(n). Let m(t) = 14*t**2 - 10*t. Calculate q(m(l)).\nAnswer: 28*l**2 - 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/35258545 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5606 = 371*b - 4122 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10*v**2 + 6. Let a(h) = -11*h**2 - 7. Give 2*a(x) + 3*q(x).\nAnswer: 8*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-27) + 581\/63*-1. Let f(g) = 4*g**2 + g - 24. Let d(y) = 7*y**2 + 2*y - 47. Let j(o) = 3*d(o) - 5*f(o). Does 17 divide j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -65544 - 18811. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250618036139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 364041 and 21478475\/59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/8)\/(3\/4). Let s = -2596\/5 - -519. Which is the nearest to -7\/6? (a) s (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1326*f**3 + 3901*f**3 - 1283*f**3 - 1288*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r. Let l(o) = -17096*o. What is l(n(d))?\nAnswer: 85480*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:10 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82574?\nAnswer: 2, 19, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16102753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20349 - j - 12*j**2 - j**3 - 8*j**2 - 20345 to the form l*j**2 + w*j**3 + o + v*j and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s - 40. Let f = -47 - -55. Suppose v = f*v - 350. What is the greatest common factor of v and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Suppose 2*j + 18 = -5*x - 3, 0 = 4*j - 5*x - 33. Let u be s(j). Which is the smallest value? (a) u (b) -0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by -1.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s - 34 = -3*w, 0 = 2*w - s - 14. What is the least common multiple of w and (-400)\/(-60)*6\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmn when three letters picked without replacement from {m: 5, n: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5 + 95*x**4 + 205*x**3 + 105*x**2 = 0. What is x?\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1118 + -1117.5. What is the second smallest value in f, 33, 5, -2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (11 + -30 - -34)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 8*q**2 + 18*q - 37. Give x(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((3 - (-32 - -11)) + 5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 38 - 33 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 164474861196.4.\nAnswer: 164474861196.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 440180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11520 by -5.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 6*x**2 + 13*x - 67. Let b be v(6). Suppose 0 = -b*p + 21 - 43. Let n(w) = w**2 + 2*w. Determine n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11067842100 to the nearest 1000000.\nAnswer: -11068000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000071031358 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16 - -1)*(-1 + 53 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 8:45 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-2)*(-4)\/(-1). Let g(f) = 2*f - 19. Let r be g(z). Solve 5*i = a - r - 22, -3*i - a = 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 69998*u + 6 + 943135*u + 786873*u. Let v be b(-1). What is v rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(240))\/sqrt(4))\/(3*-3*sqrt(12)*-5).\nAnswer: -4*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 5*f**4 + f**2 + f + 2 + 2 + f to a*f**3 + z*f + l + p*f**2 + s*f**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**4 + 7*x**3 - 23*x**2 - 7*x. Let o(n) = n**4 + 2*n**3 - 8*n**2 - 2*n. Let b(s) = -2*d(s) + 7*o(s). Find the third derivative of b(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b19a9c9 + 4?\nAnswer: 2b19aa00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -12503*((-65)\/(-26)*4 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4 + 358*z**3 - 42840*z**2 + 1727642*z - 1685159 = 0.\nAnswer: 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 33608502.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14311800677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3600 divided by 4?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(2\/3)*f\/(f*f*f*(f**(-14)*f)\/f*f*f*f*f)*f**5*f*f\/(f**(1\/4)*f) assuming f is positive.\nAnswer: f**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -2, 2\/7, -0.1 in decreasing order.\nAnswer: 2\/7, -0.1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/27 (b) 2\/11 (c) 125 (d) 3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 2*l**2 + 7*l - 3. What is h(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m + 1. Let i be k(5). Let c = -8 + 3. Put 5, i, c in increasing order.\nAnswer: c, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:16 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - m + m)*(477*m**3 - 220*m**3 - 231*m**3 - 2*m) to d*m**3 + q*m + f + b*m**4 + a*m**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 624331*p + 170 + 624331*p.\nAnswer: p**2 + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*s**2*t**2 + 232*s**2 - 316*s*t - 7355*s - 24*t**3 wrt t?\nAnswer: -42*s**2*t - 316*s - 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one halves of a decade?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/120 + x**5\/20 - x**4\/24 - x**3\/3 + 26*x**2. Calculate j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 23 = -3*m, 5*m - 30 = -4*n - 5. Suppose n*h = -1 - 4. Does 7 divide (-28)\/(h*(-4)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493*b - 251*b - 191774 = 219*b. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 (base 4) in base 14?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*q = -38, -3*q - 24 + 214 = 4*i. Suppose 4*v - 3*v + 1 = 0. What is the remainder when i is divided by 3 + v - (-1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2 (c) 0.4 (d) -29 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 7:26 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -140 * -788018\nAnswer: 110322520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -2. Is 4\/j*(1 - -893) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226108846?\nAnswer: 2, 1259, 89797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13696641 divided by 1956663\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + q = -70, -u + q + 11 - 1 = 0. Suppose t = 4*t - u. Solve -z + 8 = -t*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*m + 34 = 0, m = 4*k + 6*m + 13. Let x be 2*(0 + -1 + k). Suppose 3*r - 5*u = -20, -3*r - 4 = -2*u + u. Sort x, -3, r in ascending order.\nAnswer: -3, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 9, p: 5, w: 1}. Give prob of picking 1 l and 1 p.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**2 - 6*z + 1. Let f be b(4). Let l(m) = m + 7. Let q be l(-6). Put f, q, -2 in ascending order.\nAnswer: -2, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148786.29 months in millennia?\nAnswer: 12.3988575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m**2 + 100*m + 192. Calculate n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 + 290*c**4 + 3485*c**3 - 23860*c**2 - 57040*c + 307520 = 0. Calculate c.\nAnswer: -31, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 5*z - 6. Let s(p) = p + 1. Let f(v) = -v**2 + 6*v + 23. Let c be f(9). Determine c*s(b) - x(b).\nAnswer: b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + 0.4. Let z = j + 3.9. Let b be 2\/(-3) - 4\/6. What is the closest to 1 in z, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94 - (-7 - -79) - 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 7. Let g(z) = 6*z + 22. Calculate -3*g(i) + 10*t(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -87, -134, -183, -234, -287, -342?\n\"Answer: -z**2 - 42*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, k: 4, r: 6}. Give prob of sequence kr.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 25 = 3*n. Let c(q) = q**2 + 5*q + 6. Let u be c(-4). Suppose -5*g + u*g = -11*g. Put n, g, 2 in descending order.\nAnswer: n, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 3*l - 4. Suppose -15 = 8*y - 9*y. Suppose -w = -2*x - y, w + 10 = 2*w - x. Let r(m) = 3*m**2 + 5*m + 6. Determine w*r(h) + 7*k(h).\nAnswer: h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (489*h**3 - 194*h**3 - 210*h**3)*(h - 3*h + h)*(2 + h - 2).\nAnswer: -85*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 789374, 1578908, 2368430, 3157934, 3947414, 4736864?\n\"Answer: -f**3 + 789541*f - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8434\/19 - 444. Let g = -0.07 - 3.93. Let q = -106 - -105.7. Sort g, h, q in decreasing order.\nAnswer: h, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 347.5, -0.3, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 64.8961.\nAnswer: -61.8961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69.4 + -0.6. Let k = m + 44. Let p = -26.00026 - k. Round p to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*f + 1)*(3 - 4 + 3) - f - f + 10*f + 3*f + 3*f - 3*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**1\/w))\/w**7*((w*w\/w**1)\/w)**7*(w**(4\/7)*w**(2\/3)*w)\/(w**(-1\/4))**(-44) assuming w is positive.\nAnswer: w**(-310\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2 - 2*h - 6. Let i be c(-2). Solve -d + 7 = i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3334, 6675, 9990, 13267, 16494, 19659, 22750?\n\"Answer: -2*r**3 - r**2 + 3358*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 4*l - 5. Let q be k(-2). Which is the closest to -1? (a) -1\/13 (b) 1\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58559031 and 5022?\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + (sqrt(84) - -2*sqrt(84)) + sqrt(84))*-6 - (sqrt(84) + -3*sqrt(84)*-2))*6)\/(sqrt(72)\/(-1*sqrt(294))*-6) + -3.\nAnswer: -259*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26370 and 256524723.\nAnswer: 2565247230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 9, c: 4, r: 2}. What is prob of sequence rdcp?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(832) + -1.\nAnswer: 1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-136) - 9486\/(-26877).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.11 to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*g = -33, 0 = 3*n - 0*g + 2*g - 16. Let v be (n - 2)\/(1 - (-5)\/5). Suppose -u + 12 = u. Sort u, 5, v in decreasing order.\nAnswer: u, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 59.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = 2*k - 1146, 0 = -2*x + 4*k + 1104. Calculate the remainder when x is divided by 103.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 27*l**2 - l - 16. Let g(u) = -7*u + 175. Let f be g(21). Is x(f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021769611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 58\/12)\/((-8)\/(-528)*-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/(y**(6\/7)*y))\/(y**11\/(y\/(y*y**(-2\/17))*y)) assuming y is positive.\nAnswer: y**(-1278\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 - -138. Suppose 4*v - w = -15. Put 6\/11, v, -1\/3 in ascending order.\nAnswer: v, -1\/3, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*10\/(-90)*1\/(-1)*-36.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1382236 and 16898.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.7 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/(f*f*f**(-8)))\/(f**0\/f)**8 assuming f is positive.\nAnswer: f**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217*c*v**3*w**2*z**2 - 2*c*v**3*w - 150*c*v**2*z - c*v*z**2 - 2*v**3*w*z + 4*w**2*z**2 wrt w?\nAnswer: -434*c*v**3*z**2 + 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2327*o**4 + 1140 wrt o.\nAnswer: -9308*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 804.75 hours?\nAnswer: 48285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 21*s + 9. Let c(b) = -4*b + 24. Let i be c(10). What is the tens digit of o(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 10*m = 72. Let g(h) = -m*h**2 + 76*h**3 - 3 - 11*h + 75*h**3 - 152*h**3. Let j be g(-11). Is -11 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/6)\/((-14)\/(-7665))?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5216 - 0.9.\nAnswer: 5215.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 3*k**2 - 2*k - 3. Let t be c(4). Let w = 4 + 1. Let y = 10 - w. Solve y*i - x + 4 = -4*x, 0 = 4*i + t*x - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 6432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1.55.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36435697 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/214 and 107\/117922?\nAnswer: 12617654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.66931\nAnswer: -0.133862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*w**5 - w**4 + w**4 - 2*w**2 + 2*w**5 + 2*w**2 + (5*w**3 + w**3 - 4*w**3)*(-4*w**2 + 5*w**2 + 0*w**2).\nAnswer: -17*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 103*g + 14180. Calculate v(-137).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5698 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 - 46. What is the lowest common multiple of s and 12?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 18*q = 54. Calculate the greatest common factor of q and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1510 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 6170.\nAnswer: 67870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*c + 6, 18*c - 8 = -2*v + 22*c. What is the smallest common multiple of v and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 98, 143, 226, 359, 554?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 303 - 176. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgv when three letters picked without replacement from gvgbbbgbovbbbgpvv?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, -4 in increasing order.\nAnswer: -5, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.3 + -0.3. Let q = 77 + -17. Let x = q + -64. Which is the second smallest value? (a) k (b) 5\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 - 4780*d**2 + 550568*d - 545792 = 0. Calculate d.\nAnswer: 1, 128, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 0.6941908.\nAnswer: -6.941908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a*a*a*(a**(-7)\/a)\/a*a*a*a))\/a)**(-1)\/(a**(5\/2)*a\/(a*a**12\/a)))**(1\/7) assuming a is positive.\nAnswer: a**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 788535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81377, 81380, 81383?\nAnswer: 81386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((195\/6)\/(-13))\/(3\/(-2)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2\/5)*j*j))**(-36\/11)\/(j**(-4))**(-1\/49))**(-1\/43) assuming j is positive.\nAnswer: j**(-5072\/115885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-60) - (-6)\/(-10). Let l(i) = 0 - 2*i**3 + 1 + 8*i**3. Calculate l(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*q + 20 = 6*x, q + 12 = 3*x. What is the smallest common multiple of (x - 8)\/((-2)\/3) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/6*8\/54. Let x = -4.1 - -4. Let h = 4.9 - x. Which is the biggest value? (a) h (b) s (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**4\/24 + 11*s**3\/6 - 68*s**2 - 2*s. Give b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2003101230 (base 4) to base 15.\nAnswer: a94c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*u - 14 = -6, -2*u + 8 = 3*b. Suppose 2*z = -d + 507, b = -z - d - 2*d + 266. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 10726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -36*w + 39*w + 45, 2*r - 3*w + 15 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(-348)\/(-29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -21*w**3 - w - 1. Let l be m(-1). Suppose l = 3*z - 15. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.16 plus 0.5?\nAnswer: 319.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 13 = 12*d + 221 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*t**2 + 29*t**2 - 30 + 31 - 52*t**3.\nAnswer: -52*t**3 + 378*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000823724 to 6 dps.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18853014*w**2 + 22757565*w wrt w?\nAnswer: 37706028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*s - w + 1, -2*w + 2 = 0. Suppose -k = -s*k. Find the first derivative of 4*o + k*o - 3*o + 3*o + 3 wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 1. Suppose 56*t - 55*t - 7 = 0. Give m(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*n**3 + 13*n**2 - 13*n**2 + 0*n**2.\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469 + -1435 + 0 + -124 - 3?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -6)\/(27\/3). Let j be 1 + 0 + (-26)\/30. Let f = 95\/28 - 22\/7. Which is the third biggest value? (a) h (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152361912, 152361907, 152361898, 152361885, 152361868?\nAnswer: 152361847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 8 + 4 = 0. Suppose -4*c + 27442 = -5*o, 27462 = 2*c + b*c + 5*o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*f - 1 = 2*t, 6 = -t + 4*f. Let g be (t\/(-5))\/((-2)\/(-30)). Suppose -g*a = -a. Which is greater: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 203 + y**2 + 11*y - 202 - 10*y. Suppose -v = 4*l - 4, v = 3*v. Let i(r) = 4*r**2 + 69*r + 244. Let t(a) = l*x(a) + i(a). Solve t(n) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 16*j - 3. Let f(i) = -i**2 - 2*i + 2. What is c(q) + f(q)?\nAnswer: -3*q**2 + 14*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g**2 - 3*g - 11. Let u(i) be the second derivative of -5*i**4\/12 + i**3\/3 + 3*i**2 + 2*i. Give -4*r(m) - 7*u(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1320002*r**2 + 10*r. Let x be v(5). Round x to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 14304895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 3*v. Suppose d = -1, 2*y - 3*y = 4*d. Let l(a) = 3*a**3 + 2*a**2 - 2. Let h(i) = -3*i**2 + 1 - i**2 - i**3 + 3*i**2. What is v*l(c) + y*h(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b**2 + b + 1. Calculate the remainder when 47 is divided by t(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*b**3*y**2 + 60587*b**3*y - 58*y**2 + 1296*y - 1 wrt b.\nAnswer: 24*b**2*y**2 + 181761*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(-7*4\/(-700))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4454*v**2 - 7696508*v + 6912 = 0 for v.\nAnswer: -1728, 2\/2227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1de1cc4 + -a?\nAnswer: 1de1cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/27)*r**(-2\/9))\/(((r*r**(-7))\/r)\/(r*r**(-9))) assuming r is positive.\nAnswer: r**(-4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**3\/9 + 52*l**2\/9 + 70*l\/9 + 4\/3.\nAnswer: 2*(l + 2)*(l + 3)*(5*l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5 - 15007*l**4 - 60010*l**3 + 30018*l**2 + 180027*l - 135027 = 0 for l.\nAnswer: -15003, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2)\/(6\/18). Let z = l + 8. Suppose 4*w = z*w. Is w at least as big as -2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212\/33 + -503\/330. Calculate the common denominator of 27\/5 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**8\/6720 + j**7\/630 + j**6\/90 - j**5\/40 + 17*j**4\/24 - 14*j**2. Let l(d) be the second derivative of t(d). Determine l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 4, -32?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 87275 = -39086. Let f be h\/14190 + 9\/(-3). Let y = -7\/1419 - f. What is the common denominator of y and -43\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119182255?\nAnswer: 5, 4271, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4375 divide 160173125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, w: 12}. What is prob of sequence wwwy?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142579644.\nAnswer: 2, 3, 71, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 945*i - 5*i**2 + i**4 - 947*i - 3 in the form m*i + p + o*i**4 + b*i**2 + h*i**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 + 27*n**2 + 9*n**2.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:42 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z - 4*z**2 + 27*z**3 - 11*z**3 + 2*z**2 - 4*z**2 - 17*z**3.\nAnswer: -z*(z + 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*w - 360 - 3185 = -72*w + 1855 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -15*j. Let y(p) = -3*p + 5. Let a(g) = 1. Let m(c) = -5*a(c) + y(c). Determine k(m(s)).\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - -29) + 2 - -11527 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503366646 to the power of 1\/3, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 77*j + 76. Let o be n(-10). Let b = o + 1068. List the prime factors of b.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 10, 2, 1 in descending order.\nAnswer: 10, 2, 1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0.3, -0.5, -8\/5, -0.1?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:38 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 3*y - 27, 0 = 7*y + 40*y + 51 - 98 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 13.\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129778 is divided by 43162?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + u + u + (-3*u + 3*u + 3*u)*(-1 + 3 - 3) + 24*u + 22*u + 0*u in the form v + r*u and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-24.01.\nAnswer: -96.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62575\/186 - -1010\/3. What is the common denominator of v and -25\/36?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/4410*(-33)\/22 and 12\/(-48) - (-163)\/(-36)?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 5. Let h = -44 - -47. Let f be ((-2)\/h)\/(5\/(-3)). Which is greater: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23030445?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.55 - -0.1. Let u = -0.05 + j. Let r = u + -0.59985. Round r to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-169810)\/305658)\/(10\/(-48)*2*-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-4)*48\/(-168).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*w = 47*w + 4*p, 0 = 5*w + p + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 = -84*d - 167 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 45\/2029348 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63\/5 + -121\/10. Which is bigger: n or -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -1\/2*w**2 + 2\/3*w**3 + 2 + 0*w. What is the second derivative of l(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -68*o**3 - 11*o**2 + 23*o - 11. Let q(n) = -34*n**3 - 6*n**2 + 12*n - 6. Let r(b) = -6*a(b) + 11*q(b). What is the second derivative of r(g) wrt g?\nAnswer: 204*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 10. Let p be j(5). Let g be (6\/6)\/((-1)\/(-10)*(3 - 1)). Put 2, -0.3, g, p in descending order.\nAnswer: g, 2, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1449\/966 - (-84)\/(-8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:13 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -71*g + 3108. Let i(x) = 36*x - 1556. Let h(p) = -5*i(p) - 2*y(p). What is the units digit of h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*o - o. Suppose -o*z + 10 = -0*z + 3*a, -6 = -3*z - a. Suppose z*s = 3*s - 7. Solve -4*f - 9 - s = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 2*s**2 - 7 + 7)*(-20 + 16 + 16) to the form g*s + c + y*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -715531 times 40?\nAnswer: -28621240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 379 = 201. Let a = f + -73. Suppose 0 = -4*b + 4*u + 52, -4*u - 29 = -3*b + 15. Calculate the greatest common factor of b and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from yzzzzzzyooz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 + 600 = -5*y. Let b = y - -123. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -54365*y. Let v(u) = -299*u. Give v(l(o)).\nAnswer: 16255135*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 divided by 2?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - 3*b - 5. Let j(m) = -15*m + 20*m - 1 - 6*m. Calculate 4*j(c) - s(c).\nAnswer: -3*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*l = 90, 0*l - 3*l = 5*u + 221. Let b = -40 - u. Suppose w + b*w = 480. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 27 + 16)*(2*l + 0 + 0)*(l + 3*l - 3*l) to the form y*l**2 + k + r*l and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 19*b = 324 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 13120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 0*u**4 + 0*u**2 + 25*u + 0*u**3 - 16\/5*u**5 + 5. Find the first derivative of l(a) wrt a.\nAnswer: -64*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -64810037635.\nAnswer: 64810037638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*s + s**3 - 449*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -847, -3135, -6937, -12247, -19059?\nAnswer: -27367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174593164?\nAnswer: 2, 1193, 36587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1065, -875, -685?\n\"Answer: 190*t - 1255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 908 = -900 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 57 + 58 = 0. Calculate the common denominator of ((-298)\/(-12) - d) + -4 and 29\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 996746 - 996747. Let x = -4 - 1. Which is the second smallest value? (a) 0.3 (b) l (c) -3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -723, 1, 27, 6, -3, -7, 5 in decreasing order.\nAnswer: 27, 6, 5, 1, -3, -7, -723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**3 - i - 3*i - 4 + 6*i**2 + 5*i**3. Let c be f(5). Suppose 0 = -v - 0 + c. Which is bigger: v or -2\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 6. Let g(v) = 12*v - 8*v - 3*v - 1. What is 6*g(r) - s(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 5)*(190 - 379 - 60*y + 199).\nAnswer: 540*y - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 10*n - 4. Suppose x - 2*u = u + 9, -27 = -3*x + 4*u. Let c be q(x). What is the third smallest value in 0.2, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 8 + 1)*(1 - 3*a - 1)*(-3*a**2 + 3 - 3) to l*a + v*a**2 + b + h*a**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*r + 6. Let v = 9 + -9.8. Let h = v - -1. What is the third biggest value in -1, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 12*n - 53. Let k be q(10). Let m be (-1)\/(-2) + k\/(-6). Solve m*c + 21 = 2*c + s, 3*s = -3*c - 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 892 + -5?\nAnswer: 88a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. Differentiate -t + 4 - v + 1 + 0 wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14953256.\nAnswer: 2, 331, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/45 and -4\/25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2735 + 2734.9. Is x greater than or equal to -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (-194 - -193)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17069\/10878 + 137\/98. What is the common denominator of j and 62\/9?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270947.\nAnswer: 29, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvv when three letters picked without replacement from fghvggvgvvfgvvfgvv?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 11. Is 3 a factor of f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 562125 by 1.\nAnswer: 562125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451211497 to the nearest integer?\nAnswer: 21242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/321)\/(474\/(-9)). Let c = m - -515613\/169060. Calculate the common denominator of ((-6)\/9)\/((-4)\/(-137)) and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 769\/9 or 85?\nAnswer: 769\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2\/6 + 235*g\/6 + 115\/3.\nAnswer: 5*(g + 1)*(g + 46)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 9*l + 8. Let z be b(9). Factor -4*u**2 + z - 3 - 5 - 24*u.\nAnswer: -4*u*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 19\nAnswer: -13\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 17320?\nAnswer: -1\/3464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 4, s: 2, z: 4}. What is prob of sequence sz?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(3*(-1)\/48). Let s be -1*(-2 - -1)\/((-3)\/(-9)). Let k be ((-5)\/(-25)*-6)\/(s\/40). Is k less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 a factor of 3607190470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(0 - 128). Let y be 3*(-56)\/42 + 8. Calculate the greatest common factor of s and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163294453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 2506?\nAnswer: 97734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211210 + 10220111010?\nAnswer: 11000022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 0, 3, 10 in decreasing order.\nAnswer: 10, 7, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12411333?\nAnswer: 3, 11, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 17*v + 34. Let u be s(-16). Suppose 0 = -3*y - i + 6*i - 43, -u = 2*y + 2*i. Which is bigger: y or -12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*m = -8 - 2, 0 = q - m + 1. Solve x = 3*x - q*o, 5*o = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3100 (b) -43 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/3 - 47*w**3\/3 - 21*w**2 + 68*w\/3 + 44\/3 = 0 for w.\nAnswer: -22, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 366636600 to the nearest 100000.\nAnswer: 366600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 0.2, 6, -1\/8, 5, -37?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*u - 3. Suppose u*p = -159 + 744. Suppose -p = -4*o + 5*h, 0*h + 15 = -3*h. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-76 - -121) + (-52)\/4. Solve -12*t + 64 = -b for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/21145?\nAnswer: -6\/21145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 20*o - 28. Calculate the least common multiple of 40 and v(18).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3401414592 to the nearest integer?\nAnswer: 58322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/5 - (0 + -1)*924\/132. Factor -w*n**4 + 0*n + 4\/5*n**5 - 16\/5*n**3 + 32\/5*n**2 + 0.\nAnswer: 4*n**2*(n - 2)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1059330, -1059325, -1059316, -1059303, -1059286?\n\"Answer: 2*n**2 - n - 1059331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/6 - 5*t**3\/6 - 3*t**2 + 3. Let c(r) be the second derivative of h(r). What is the derivative of c(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v**3 + 25*v**3 + 16*v**3 - 66*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*t**2 - 5*t - 102*t**2 + 3*t - 292*t**2.\nAnswer: -289*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*v**(-1\/4))\/v)*v**(-19) assuming v is positive.\nAnswer: v**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 12) to base 9.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 9*l + 6. Let j be q(5). What is the greatest common divisor of 121 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**3 + 24*u**3 - 13*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 32. Suppose g*u - 4 = 1. Let m be 4\/(-10) + (-1)\/(15\/54). Which is the third biggest value? (a) 0.4 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 19. Let h be d(6). Let s(b) = -7*b**2 - 2*b - 4. Let k(r) = -6*r**2 - 2*r - 3. Give h*s(w) - 6*k(w).\nAnswer: w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/16))\/(o\/((o*(o*o\/(o\/((o\/(o\/(o*o\/o**(-23)*o*o)*o))\/o))*o)\/o)\/o))*o\/(o*o**(-12))*o*o**15)**15 assuming o is positive.\nAnswer: o**(13005\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (784\/2856)\/((-4)\/(-51))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 555508, 1111045, 1666584, 2222125, 2777668, 3333213?\n\"Answer: r**2 + 555534*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23808, -47619, -71430, -95241, -119052, -142863?\nAnswer: -166674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41003*j + 41120*j - 2925 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/24 and -5\/2648?\nAnswer: 7944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 9. Let h = -12 - -14. Suppose -l - h*a - 4 = 6, -l - 4*a = 18. Let u(t) = -10*t - 45. Let n(y) = l*u(y) - 11*b(y). Determine n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1592838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-223 - -202) + 25 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/4360302 and -71\/82361260.\nAnswer: 741251340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 81\/52589?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1175.6336 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1984*t - 20 = -1979*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2*v - 6, 8 = 2*k + 10 - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 28, -40, -25, 0, -2 in decreasing order.\nAnswer: 28, 0, -1, -2, -25, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 486877.92 - 14669.06\nAnswer: 472208.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h**3 - 35*h**2 + 16*h - 51. Let q(y) = 3*y**3 - 7*y**2 + 3*y - 10. Let u(b) = -2*p(b) + 11*q(b). Determine u(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*14\/35*(-25)\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 5, 36771 in decreasing order.\nAnswer: 36771, 35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125550 is divided by 102232.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 16. Let l = 7 + g. Suppose -4*n = 4*h + 16, -h - h + 5*n + 20 = l. Solve 2*s + 0*s - 4 = h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 323 (c) -2 (d) -5 (e) 2 (f) 0.2 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) -0.2 (b) 0.07 (c) 5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11779 - 11775. Put -1\/7, n, -4\/9, 2\/11, 0.5 in decreasing order.\nAnswer: n, 0.5, 2\/11, -1\/7, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-21))\/(60\/210). Put -2, -723, u in descending order.\nAnswer: u, -2, -723","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*o**2 + 47863*o**3 + 40698*o**3 - 83*o**2.\nAnswer: 88561*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*g - 24*g - 3*g - 153 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 10 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqcc when four letters picked without replacement from qcqqqcqqqqqqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2. Let h(z) = -8695*z**2. Give h(b(q)).\nAnswer: -217375*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -354*p**2\/5 + 1438*p\/5 - 1084\/5 = 0?\nAnswer: 1, 542\/177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26835, 53753, 80705, 107691, 134711?\nAnswer: 161765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = i - 30, 5*j + 35*i = 40*i + 70. Calculate the highest common divisor of j and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + c**2 + 4*c**2)*(-2*c - 3*c**2 + 2*c)*(-1 + 1 - 2).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -1\/4*b**4 + 1\/5*b**5 - 1\/30*b**6 + 0*b**3 - 6*b + 0 + 0*b**2. Solve q(c) = 0 for c.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 4\/3*b**3 + b**2 + 0*b**4 - 3 - 1\/3*b**6 - 4\/5*b**5 + 0*b. Determine y, given that n(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -6)*(-71)\/(-1). Which is smaller: k or 74?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46395 at most as big as 46392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-59)\/(-59) + 0 + -2220000 + -1. Round w to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8290612 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1450525*n*o - 1469*n + 5*o - 249 wrt o?\nAnswer: -1450525*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5958a54 - 8?\nAnswer: 5958a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.4 + 14. Let h = -0.4 - a. Is -0.2 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*x - 223*x - 1323 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, -28 in decreasing order.\nAnswer: 26, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 6. Let g be f(3). Which is bigger: -2\/55 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 20 - 12)*(1 - 4 + 5 + 0 + 6 - 4 + (-3 + 5 - 3)*(-3 - 2 + 3) + 1 - 2 - 1)*(7*o + 8*o - 2*o) to the form w + x*o and give x.\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4 = 0, 6 = -6*x + 2*x + 2*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 i when four letters picked without replacement from iiiiiihihh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 + 2937. Is z 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 2710*u**6 + u**2 - 898 wrt u?\nAnswer: 325200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -344390, -346715, -349026, -351317, -353582, -355815?\nAnswer: -358010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 315*m + 3636 wrt m?\nAnswer: 315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-32)\/28))\/(2\/(-24)*3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2\/9 (b) -3 (c) -2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 53, 65, 67, 53, 17, -47, -145?\n\"Answer: -q**3 + q**2 + 16*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/12 + y**3\/3 + 2*y**2 + 11*y. What is p(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 31 = 15*d. Solve -3*n = -5*q + 2*q - d, 0 = 4*q + 2*n + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4705410, 9410821, 14116234, 18821649, 23527066?\n\"Answer: q**2 + 4705408*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(1*-120)*12\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7510 divided by -5.\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 11*i**2 + 18*i + 14. Calculate the remainder when g(13) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amrw when four letters picked without replacement from {m: 2, a: 5, w: 2, j: 6, r: 1}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 - -0.08. Let j = h - 0.08. Let g = 4.04 + j. What is the biggest value in g, 1\/2, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.07 - -0.07. What is the second biggest value in 1, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2.1, -1\/2, 0.09 in ascending order.\nAnswer: -2\/3, -1\/2, 0.09, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-15))\/(3\/2295). Let h = -283 - 142. Let c = h - r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.37478 kilometers to nanometers.\nAnswer: 16374780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 13, y: 1, o: 3}. What is prob of sequence oc?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(168)*-1)\/sqrt(7))\/(1*sqrt(27)\/((sqrt(72) + 1*sqrt(72))\/sqrt(8))))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -5*a**4\/4 - 230*a**3\/3 + 155*a**2\/2 + 76880*a + 660. Determine c so that f(c) = 0.\nAnswer: -31, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 8*o**2 + o + 16. Let x be l(5). Suppose -152 = -w - 0*w. Suppose -4*y + x = -w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-876*h**2 + 876*h**2 + 32*h**4)*(14*h - 9*h - 10*h).\nAnswer: -160*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) -6 (c) -0.456 (d) -0.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from dyudcdrd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/3, -2\/23 in ascending order.\nAnswer: -0.5, -1\/3, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Suppose 0 = 2*r + 3 + z. Let t(p) be the first derivative of p**3\/3 + p**2 - p + 4. What is t(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 4*s - 3*s)*(2*s + 4 + 3*s**2 - 4).\nAnswer: -6*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1007680117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 763.253 millennia in months?\nAnswer: 9159036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 426*z**3 - 222038*z**2 - 817186997*z.\nAnswer: 2556*z - 444076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145695477?\nAnswer: 3, 19, 2556061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 5*l - 5. Let g(r) = 2*r**2 + 2*r - 2. Let q(w) = 5*g(w) - 2*s(w). Let p(n) = -n. Give q(p(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -10, -41, -1 in increasing order.\nAnswer: -41, -10, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 2*q + 6*q as x + j*q and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2754)\/24786 + 685\/9?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v + 6 + 4*v + 2 + 125*v**3 + 2*v. Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1689561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87.999792 - 88. What is w rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616016.\nAnswer: 2, 13, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -6. Let i be (-3)\/d + 92\/8. Calculate the greatest common factor of 88 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54629 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 6:57 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*1\/(-2))\/(1533026\/(-44)). Let h = 64178047\/139366 + x. Let a = -475 + h. What is the common denominator of 113\/14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 9*o + 3 + 0*o**3 - 4*o**2 + o**3. Let u be i(5). Let g(v) = v**2 + v. Let r be g(u). Solve 5*y = 0, 2*z + 0*z + r*y = -10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -12. Suppose b*x - 95 = 3*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 974441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99 + 0?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 - 391 - (2 + 31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**2 + 495482670*h + 12275153813516445 = 0.\nAnswer: -49548267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*w + 505*w - 236*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1.7 (b) 1 (c) -2\/19 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 359*f**2*l - 58*f**2 - 15*f - 2560*l wrt f.\nAnswer: 718*l - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let g(n) = -2*n - 1. Let l(y) = -g(y) + k(y). Let j be 1 - (-1 - 0 - -1). Let m be l(j). What is the second biggest value in 4, 4\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 8. Let b = -11.9 - g. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85291966*j**2 - 16245694*j - 2 wrt j.\nAnswer: 170583932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-13 - -33) - 14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -134 (b) 10 (c) -5 (d) -1\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + -4*sqrt(243)).\nAnswer: -36*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -42205360?\nAnswer: 42205361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329271 is divided by 980.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 207.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**3 + 1 - 2*s**3 + 0*s**3. Let v(a) = -a**2. What is v(x(r))?\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 + 8*w - 5. Let f(s) = -s**2 - 2*s + 1. Suppose -31*g + 39*g = 16. Calculate g*z(d) + 9*f(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v. Let z(m) = 59*m**2 - 3*m. What is a(z(k))?\nAnswer: -1003*k**2 + 51*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba + 1a?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k - 85 = -79*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -655?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 55*c + 4. Let x(t) = 275*t + 22. Let b(d) = -11*s(d) + 2*x(d). Let r(g) = -7*g. What is b(r(a))?\nAnswer: 385*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v - 69 = -34*v. What is the third smallest value in v, 1\/2, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 666\/(-81)) + -6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 18*o - 1. Let s be c(0). Let j be -4*(3 + s)*12\/(-32). Solve -d - 3*g + 25 = 4*d, j*d - 15 = -g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411260583677 - 49.6?\nAnswer: 411260583627.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 - 7 = -2*n, 5*o + 3*n - 25 = 0. Suppose -3*h = o*v - 16, 0*h + 5*h = 5*v. Solve 2*a + 6 - h = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7605 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let d(l) = 5*l - 5. Let q(g) = g. Let j(a) = d(a) - 2*q(a). Let o(y) = 4*i(y) + j(y). What is the first derivative of o(t) wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.785246cm to micrometers.\nAnswer: 7852.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -10 + 4. Let f be -3*(-4)\/(d + 2). Solve 4*l - 17 = a, 0 = -f*a - 0 - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jttijjj. What is prob of sequence jt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 - 7 - (-7 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times -1.233\nAnswer: -0.09864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/6 + 25 + (-876)\/36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/132960 and 83\/416608.\nAnswer: 6249120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 8. Suppose f*y = 6*y. Suppose 0 = l + 3*x - x + 1, y = -3*l - x + 2. Calculate the greatest common factor of 11 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.134255*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63601296?\nAnswer: 2, 3, 11, 163, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/1)\/(-1)*56\/(-40). Suppose w*x - 1422 = -2*x. What are the prime factors of x?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*c + 66*c + 56*c + 56*c - 240*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let k(y) = y + 6. Let o(h) be the third derivative of h**3\/6 + 10*h**2. Calculate c*k(t) - 14*o(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230102 is divided by 598.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/13020 and -109\/13020.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -200. Is o a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.428793 days to minutes.\nAnswer: 2057.46192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 85. Suppose -22 = -2*s + i. Let f be (1 - -1) + 1 + 33. What is the highest common divisor of s and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-16 - (-7 + -6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 6 + 21)*(-65*l + 31*l - 22*l)*(-4 + 7 - 1)*(-1 + 1 - 2)*(-4 + 3 + 0).\nAnswer: -6272*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*q + 27 = 0, -6*a + 2*q - 117 = -12*a - 9*a - 11*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 equal to 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306648425?\nAnswer: 5, 1951, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-8 - -10) + (3 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408 + 408 - 30*r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 + (-52)\/(-10). Let o = -3 + v. Suppose -o - 14 = -z. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -32222, 6, 3, -1 in increasing order.\nAnswer: -32222, -7, -3, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618078211?\nAnswer: 3, 7, 29, 71, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*4\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741*a - 718*a = 1702. Calculate the remainder when 551 is divided by a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7743302?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = q, 4 + 2 = -2*o - 3*q. Suppose l - 303 = -g, l + g - o*g - 312 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186782 divided by 2\nAnswer: -93391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 7679 + 33091. Suppose 8*u - a = -7*u. What are the prime factors of u?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279208 + 503?\nAnswer: 279711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6 = -2*u, -u - 21 = -5*u + 5*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -501*o**3 + 4*o**2 + 8*o - 12. Let r(u) = -6013*u**3 + 49*u**2 + 98*u - 147. What is 4*r(d) - 49*x(d)?\nAnswer: 497*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80727 and 3621.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.0350166259 and 15.\nAnswer: 13.9649833741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 28.560201 microseconds in minutes?\nAnswer: 0.00000047600335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-768)\/(-18))\/8*-3)\/(15\/(-15))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12214*u - 73277. Determine m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from ootooxxxxootoxo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53572543 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f - 5\/3*f**3 - 2 + 2*f**2. Find the second derivative of j(o) wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2) + -1)\/(3\/390). Let d = w + 80. What is the greatest common divisor of 75 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/3)\/((36\/(-8))\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.49 and 0.5093.\nAnswer: 1.268157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by 26\nAnswer: -75\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (174\/276)\/((-3)\/36). Which is greater: d or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + 24. Calculate the remainder when c is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 - 132. Let n be 12\/(-18) - 14\/(-3). Suppose 10 = h + n*h. Calculate the greatest common factor of i and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u**2 + 11*u**2 + (1 + 0 + 0)*(2*u**2 + 2*u - 2*u))*(-5 + 3 + 4) - 124*u**2 - 181*u**2 + 97*u**2.\nAnswer: -188*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3404 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*h - 7*h + 4, 0 = -3*k + 2*h + 2. Suppose -5*m + 440 = k*a, 5*m - 405 = -0*m + 5*a. Let g = -59 + m. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 5\/6 (c) 17 (d) -2\/3 (e) -3 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8262022 a multiple of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1, 4, -2, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -38 + 673 + -695.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*h + 12 - 58, 2*h = 4*n + 64. Let i = -18 - n. Suppose -8*r + 4*r + 12 = i. Solve 4*x - 8 = 4*c, 0 = -4*x + r*c + 11 - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20892 is divided by 590.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3\/((-15)\/(-25)). Let a be (-1)\/s*231\/(-7). What is the derivative of 2*i**4 + 2*i**4 + a - 4 + 12 wrt i?\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(-2*f + 3*f + f + (-4 + 3 + 0)*(2*f - 2*f + 2*f) + 0 + 0 - 2*f - 19*f + 456 - 456) to j + h*f and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -1 + 4. Let k be 1\/p + (-17)\/(-3). Calculate the highest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4978561 or -4978570?\nAnswer: -4978570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0 = 2*p + 7, -2*p = 2*s + 14. Let j be 3\/(p\/(-8)) - -1. Let h be 3 + 2 + 2 + -3. Solve -h*f = -5*k + 5, -4*f + 2*f + 5 = -j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -29. Let r = 26 - c. Suppose -2*q = -i + 1, r + 10 = 2*i + 5*q. Solve j = i*k - k - 13, -j - k = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 11. Let r(l) = -2*l**2. Give a(r(t)).\nAnswer: 4*t**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 7*j + 10. Let f(i) = 2*i**2 - 12*i - 19. Let o(y) = 5*d(y) + 2*f(y). Factor o(b).\nAnswer: -(b - 12)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3892994 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + d = -1141, 4*r + 0*d = 2*d + 1520. List the prime factors of r.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67.469 + -62.37. Let y = 0.099 - x. Which is the second smallest value? (a) -1\/4 (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 463.2981 tonnes?\nAnswer: 463298100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2))\/(-1) + 1. Let m be -1 + (19\/6 - x). Which is the closest to 0? (a) 2\/5 (b) m (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -0.4, 4, -2\/9, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -349*f**5\/10 + 2*f**3\/3 + 5*f**2\/2 + 129*f. What is the tens digit of t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 2*u**3 + 3*u**3)*((-3*u - 4*u + 2*u)*(3 - 2 + 2) + (-12*u + 18*u + 11*u)*(2 - 1 - 3)).\nAnswer: -294*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*b**3*s + 2877*b**3 + 10*b**2 + 39062*b*s + 5*b - 11 wrt s?\nAnswer: 32*b**3 + 39062*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v**3 - 8*v**2 - 18*v + 81. Is p(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39641010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 19. Find the common denominator of (-2)\/n + (-30716)\/1232 and (-22)\/48*-2*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, y: 3, s: 2, w: 8}. What is prob of picking 2 g and 1 w?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.88*-4\nAnswer: -3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -11*z**2\/2 + 12*z - 17. What is the hundreds digit of m(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 30 = -3*l. Let x(i) = -12*i - 2. Let g be x(-1). Suppose -3*d - 2*d = -g. Solve -2*n - l = w, -w - w = -d*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 0, -2*c - 3*h + 5*h - 58 + 19 = -5*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, -4, -5\/2, 3.97?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -689758878 divided by 1\nAnswer: -689758878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -196\/1713807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = -22. Suppose l**2 + v + 5*l**2 - 4*l**2 - 4*l**2 = 0. What is l?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*k = 0, 5*k = -4*c - c + 20. Factor -1\/4 + 3\/4*q + 1\/4*q**c - 3\/4*q**2.\nAnswer: (q - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -5, -6, 3 in decreasing order.\nAnswer: 5, 3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*j + 11. Let h(a) = -4*a + a**2 - 7*a - 5*a + 3*a - 4. Is h(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-20))**(4\/9))**(-20) assuming r is positive.\nAnswer: r**(1600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 686738827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -162, 6, -1 in descending order.\nAnswer: 6, -1, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 6*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 - (2 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.561 and -4.\nAnswer: 10.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*j**3*v**2 - 22*j**3 + 3949*j**2*v**2 - 5*j*v**2 + j - 265*v**2 wrt j?\nAnswer: -90*j*v**2 - 132*j + 7898*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:19 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*n - 6, 5*n - 9*n = w - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**3\/3 - 34*b**2\/3 + 898*b\/3 - 440\/3 = 0.\nAnswer: -20, 1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 1:09 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 70?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26eeb (base 16) to base 15\nAnswer: -323b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 18. Is -6 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 3979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4052.0408 to the nearest 10.\nAnswer: -4050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -31, 3, -1, 20, 3\/7.\nAnswer: -31, -1, 3\/7, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/(a\/a**(-3)))**13 assuming a is positive.\nAnswer: a**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -103424143 (base 6) in base 4?\nAnswer: -13010223333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111531171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83956\/2224 - -3*2\/(-8) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o = -45. Let p = 70 - o. Calculate the greatest common divisor of p and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 80828.\nAnswer: -5\/40414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + h + 31. Let q be (-2)\/4*(2 - 2). Let j be u(q). Let p = j - 17. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**3 - 11*r**2 - r - 8. Let t(i) = 9*i**3 + 21*i**2 + 2*i + 15. Let w(a) = 6*t(a) + 11*x(a). What is the smallest common multiple of 33 and w(5)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65072 and 1401704.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64957202*k**5\/5 + 1623861662*k**4\/5 - 1871109354*k**3 + 11702144682*k**2\/5 - 12312432*k\/5 + 648 = 0. What is k?\nAnswer: -30, 3\/5699, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6) + 2\/3. Let k(c) = -3*c**2 - c**w + 4 + 3*c**2 + 2*c. Calculate k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 134 - (1 + 0)*-2. Find q, given that -16*q - n*q**2 + 18*q**5 + 212*q**3 - 112*q**4 + 32 + 17*q**5 - 15*q**5 = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4491 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/8 and 71\/28245?\nAnswer: 225960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z - z**2 - 8*z**2 + z**3 + 7*z**2 + 7*z**2 + 3. Suppose 12 = -0*x - 2*x. Calculate q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -1. Let t = -0.4 - r. Which is bigger: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250344 (base 7) to base 3.\nAnswer: -2022211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14567329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 315329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 5:48 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 82*f**2 + 16*f - 1256. Calculate p(82).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6495857 (base 11) in base 15?\nAnswer: 1006984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 - 2*l**3 + 4*l**3 - 50*l**3 - 41*l**3 - l**3 + 2*l**3 + 3*l**3 - 4*l**3 + (3 + 0 - 2)*(0 + 0 - 2*l**3).\nAnswer: -94*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 13*c = -4*c + 240. Solve -205*t + c = -211*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-129 + 129 + 13*j + 3 - j - 3 + (2 + 4 - 4)*(0*j - 3*j + 5*j) + j - 3*j + j).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 42, -6, -5, 5, 72 in decreasing order.\nAnswer: 72, 42, 5, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -6.2. Let o be 57\/133 - (-24)\/(-7). What is the smallest value in -1\/6, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:47 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + (1*sqrt(162) - sqrt(162))*-1 + sqrt(162) - sqrt(162))\/(sqrt(72)\/(sqrt(108) + sqrt(12))))\/((-6*sqrt(108)*2 + sqrt(108))\/(sqrt(1728)*-2)).\nAnswer: 96*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)\/a)\/a*a)**(-16))**32\/((a\/a**(1\/4)*a)\/(a\/a**(-4))*a*(a*a**(1\/6))\/a*a**(-2\/5)) assuming a is positive.\nAnswer: a**(61589\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17062*z**5 - 6402*z**5 - 7049*z + 4525 - 4525 wrt z?\nAnswer: 213200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 5276856749*s**2 + 5276856749*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 6 (b) 3 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 1130*q**2 - 23000*q + 114240.\nAnswer: -5*(q - 204)*(q - 14)*(q - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)*(-6)\/228. Let o = 9369\/160 + -156043\/3040. Let m = o + l. Find the common denominator of -91\/4 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2054 - -2055.843. Let o = -0.457 - z. What is o rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 + 167*x**2 - 50*x - 121. Let d be l(-56). Which is smaller: -456 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7808990 to the power of 1\/2, to the nearest integer?\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3*1776\/(-370)*4\/2. Find j, given that 2\/5*j**4 - 12\/5*j**2 - 8\/5*j + i + 2\/5*j**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsjn when four letters picked without replacement from {j: 7, s: 2, n: 2}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(825) - (sqrt(825) - (sqrt(825) - sqrt(825)*2)))*3 + sqrt(825)*2*1)\/(-6*sqrt(11)*-3 - (sqrt(77)\/(sqrt(42)\/sqrt(6)) + sqrt(11))).\nAnswer: -5*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36588*0.3.\nAnswer: 0.109764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w + 11. Let n(z) be the third derivative of -z**4\/12 + 5*z**3\/6 + z**2. Let b be -1 - (0 - (-7 - -1)). Determine b*n(a) + 3*i(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/9 + 20*z**3\/9 + 38*z**2\/9 - 20*z\/3 = 0.\nAnswer: -6, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104, -214, -638, -1370, -2404?\n\"Answer: g**3 - 163*g**2 + 372*g - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (1 - 2))\/(-14*1\/404). Is l smaller than -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u\/(u\/(u*u\/(u**(8\/7)\/u*u))))\/u*u*u)**(1\/24)\/(u**2\/u**(2\/69)))**(-8\/11) assuming u is positive.\nAnswer: u**(6995\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 + 597*n**2 + 3*n - 5. Let b(a) = -a**3 - a + 2. Calculate 2*b(l) + q(l).\nAnswer: 2*l**3 + 597*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 18.814, -0.5, 4, 33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2040*q - 210. Is d(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrp when three letters picked without replacement from pwppbrbbwbpwprw.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 2 + 6*r**3 - 5*r**3 + 2*r**3 - 2*r**4 as c + s*r**3 + y*r**4 + u*r + h*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from teejxxjejetw?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/422639 and 0.08 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 252266 = 20*i - 5*p, 0 = -4*p - 24. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-3 + 0 + 1)*(-10 + 10 - 7*b).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 20*u + 21. Determine x(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/140*3\/12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**3 + 8*h**2 - 5*h - 2. Give p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.38 + -18.62. Let c = y - -18.97. Let l be 14\/(-4) - (-1)\/2. What is the smallest value in c, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/60 and 476\/864 - (-68)\/918.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 6:18 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 660 in increasing order.\nAnswer: -8, 4, 660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23169373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-2)\/(-24)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*j - 5 - 39, 0 = 3*j - 5*i - 59. Which is greater: 12 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 28, 75, 150, 259, 408?\n\"Answer: f**3 + 5*f**2 + 3*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(484) - -2*sqrt(484)).\nAnswer: sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25418, -50883, -76338, -101777, -127194?\n\"Answer: s**3 - s**2 - 25469*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + l - 11. Let o be m(-9). Suppose -a + o = -3*g, -2*g - 177 = -4*a + 27. Suppose -a = -3*k + 215. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -a + 13, 5*a - 85 = -2*p. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 334181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12958*z - 12957*z + 1 = 0, -4*p - 3 = 3*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 - 1 = -5*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200*v**3 - 122*v**2 - 1.\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m + 11. What is g(5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 377? (a) 19 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2857102, 2857101, 2857104, 2857111?\nAnswer: 2857122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64869424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 203287.6 not equal to 2.66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3581*k + 3577*k - 129, -4*k + 192 = -11*k + 5*y for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -48, -1201.\nAnswer: -1201, -48, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*l + 21, 3*l - 4 = -4*n + l. Suppose 14 = 3*q - 2*m, -5*q + 3*m + 23 = -0*m. What is the remainder when -2 + (1 - -10 - n) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 0*m + 0*m)*(-3*m + 2*m + 0*m) + m**4 + 0*m**4 - 2*m**4 + (-2*m - 2 + 2)*(-30*m**3 + 410*m**3 - 160*m**3).\nAnswer: -439*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1044 and 96?\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 + 9 = 0. Let o be -6*(1 - (-8)\/(-6)). Calculate the greatest common factor of s and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i + 24 = 64*i. Solve b - 3*p - 3 = 2*b, -b = 5*p + i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6 + 2\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -134833671 and 0.152.\nAnswer: -134833670.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2137697972?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430)*2)\/sqrt(6).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 - 2041*k - 75047. What is s(-39)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*t - 13 = -756*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.58372 rounded to the nearest ten?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12948, 25730, 38510, 51288, 64064, 76838, 89610?\nAnswer: 102380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 times 688?\nAnswer: -96320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 2*n + 2*n - 11*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j**2 - 92811097*j\/2 + 1657341 = 0. Calculate j.\nAnswer: 1\/28, 3314682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.633 to 1 decimal place.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a + 6*a + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 480*p - 1446. What is u(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 + 4063*w**3\/2 + 48564*w**2 + 388000*w + 1033984.\nAnswer: (w + 8)**3*(w + 4039)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -2*r**6\/3 + r**4 - 12*r. Find the third derivative of g(n) wrt n.\nAnswer: -480*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 50*r**2 + 280*r + 995. Let d(h) = -13*h**2 - 70*h - 249. Let q(u) = -u**3 - 3*u**2 + u - 1. Let z be q(-3). Let k(v) = z*m(v) - 15*d(v). Factor k(f).\nAnswer: -5*(f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - t**2 + 5 - 3*t - 3. Let b be x(2). Let k be -2*((-70)\/(-4))\/(-7). Solve 0*n + n - 5*l = -5, 2*n + k*l + 10 = b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211024 + -4?\nAnswer: 211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 10. Suppose 4 + 2 = 2*i. Let w(d) = -d**2 - 12*d + 6. Let v be w(-12). Solve -i*u + v = -x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2001 is divided by 52?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(-4\/35))**(1\/27) assuming x is positive.\nAnswer: x**(-8\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226 and 2147?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -3 (b) -5 (c) -20 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11 at most as big as 7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-7*(-14)\/490.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Suppose -i*m + 4*m = 14. What is the least common multiple of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-6))\/((-186)\/558)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2642420*a**4 + 1348547*a**2 - 2?\nAnswer: -63418080*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, 246, 942, 2314, 4590?\n\"Answer: 38*f**3 - 4*f**2 - 6*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2120167 + 56?\nAnswer: -2120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 78626 - 34161 - 104014. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -32. Is m equal to 132\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 10*k + 12. Let h be z(10). Suppose -5*y + h = -8. Suppose y*v = 3*v + 8. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -68*y - 68. Let m(w) = 2*w. Let r(x) = f(x) + 51*m(x). Differentiate r(v) wrt v.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c. Let l(n) = -39*n**2 - 8*n + 16. Let q(y) = 26*y**2 + 5*y - 10. Let f(m) = 5*l(m) + 8*q(m). Calculate v(f(b)).\nAnswer: 130*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.17 - -0.83. What is the biggest value in g, 0.3, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = 31*s + 378. Let u = -1.2 + 1. Put u, s, -2 in decreasing order.\nAnswer: u, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 5*w - 13, 5*w - 122 + 279 - 122 = 10*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(272) - sqrt(272)*2 - sqrt(272)) + -1)**2 - ((sqrt(17) + -1 + -3 + sqrt(17) - sqrt(1700)*-1) + 1).\nAnswer: -28*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.74874 - -13.757. Round x to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gng when three letters picked without replacement from {x: 1, a: 3, n: 3, g: 9, i: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7298 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 199 divided by 817722\nAnswer: 199\/817722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, a: 7, m: 1, n: 2}. Give prob of sequence nn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 104 = -5*n. What is the second derivative of 5*f + 26 - n - 3*f**2 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1608)\/89780)\/(((-168)\/(-35))\/(-8))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 14*p**2 + 15*p + 4. Let g be b(15). Put -5, g, 3 in ascending order.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4406 and 53\/17624.\nAnswer: 17624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 67 = 8*n. What is the common denominator of 81\/4 and ((-2)\/n)\/(288\/(-3540))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**3 - s**2 - 4*s + 1. Let d = -110 + 113. List the prime factors of j(d).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 52880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q**2)*(-3*q - 11*q - 11*q) - q**3 - 2*q + 2*q.\nAnswer: -51*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/5 + 354*g**4\/5 + 11452*g**3\/5 - 751608*g**2\/5 - 4891536*g + 770672448\/5 = 0?\nAnswer: -78, 28, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/4902 and 157\/4225524.\nAnswer: 4225524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + -4253588125.4.\nAnswer: -4253588113.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 + 8*s - 7. Suppose 2 = -i + 4. Suppose -f + 16 = i*f - 5*y, f = -5*y + 12. Give l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15071, 32803, 50535?\n\"Answer: 17732*s - 2661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9435 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 6:17 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 24*q + 12. Let g be c(12). Suppose -4*t - g = 0, 0 = -2*u - 3*t - 2*t - 19. Suppose 3*b + b = -4. Sort u, b, 11 in descending order.\nAnswer: 11, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3773567*b**5 - 24*b**3 - 571228064*b - 2?\nAnswer: 75471340*b**3 - 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, 1351, -4 in decreasing order.\nAnswer: 1351, 14, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(891) - (2 + sqrt(891))) + sqrt(891)))**2.\nAnswer: -144*sqrt(11) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-2 - -8) + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*g**2 + 2592\/5 + 144\/5*g.\nAnswer: 2*(g + 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 21*d - 19. Let p(v) = 42*v - 39. Let n(w) = -7*m(w) + 3*p(w). Suppose 1748*l + 704 = 1684*l. Let r(q) = -4*q + 3. Calculate l*r(k) + 2*n(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8113 divided by -3\nAnswer: -8113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**7\/840 + f**6\/240 - f**5\/80 + 5*f**2\/2 - 1. Let h(l) be the second derivative of z(l). Factor h(m).\nAnswer: m**2*(m - 1)*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z**2 - 24*z + 16. Let i(u) = u**2 + u - 2. Let n(s) = 28*i(s) + 2*o(s). Let n(q) = 0. Calculate q.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -257?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1208163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 180043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -25*t**4\/12 - 21*t**3 + 29*t**2. What is the thousands digit of c(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16119446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643 (base 8) to base 15.\nAnswer: 1ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5 - 10502*l**4 - 10492*l**3 + 42008*l**2 + 42000*l = 0.\nAnswer: -5250, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169721\/4719015 - 37\/1055. Find the common denominator of c and -5\/18.\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -122. Suppose 8*l - n = 7*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -g + z, -48*z = 2*g - 44*z - 190. What is the greatest common divisor of 120 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -515*u**2 - 382562 + 382562 + (-4 + 4 - 2*u)*(1 - 1 - u) + 0*u + 0*u + 2*u**2 - 4*u**2 + 3*u**2 + 4 - 1.\nAnswer: -512*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*r**2 + 32*r**2 + 34*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 + 122.46. Let t = j - -2.24. Sort 3, t, -6, -2.\nAnswer: -6, -2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u = -53 + 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -18. Let r be 28\/q + (1 - -1). What is the nearest to 1\/4 in -0.2, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 455001 + -157?\nAnswer: 454844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 7 - 19. Does 10 divide 1\/j + (-640)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*p + 140*p - 1674. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 4*w + 25 = -r, -w - 25 = 4*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 279 - 108 = 0. Suppose 407 = -8*q - 305. Let g = r + q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0654 + -1437\nAnswer: -1436.9346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 328 = 4. Find the second derivative of t*c**3 - 58*c - 23*c**2 - 37*c**2 - 10*c**3 wrt c.\nAnswer: 12*c - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 3356*n - 2*n**2 - 3356*n.\nAnswer: -2*n**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f*f**(-20))\/f*f**(-7\/3)\/f assuming f is positive.\nAnswer: f**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -84*x + 3. Let t = 1 - -10. Let m(k) = 42*k - 1. Let c(n) = t*m(n) + 6*u(n). What are the prime factors of c(-2)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 - 108*d + 208. Let h(w) = 12*w**2 - 326*w + 626. Let g(n) = -11*f(n) + 4*h(n). Find q, given that g(q) = 0.\nAnswer: 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 50.09373 meters?\nAnswer: 50093.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12451511 (base 6) to base 11\nAnswer: 260a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37977 - 37976.99999972036. What is l rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1.979, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85418, 342158, 770220, 1369604, 2140310, 3082338, 4195688?\n\"Answer: 85661*q**2 - 243*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.043, -14, 230, -0.1 in ascending order.\nAnswer: -14, -0.1, -0.043, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, -0.5, -1, 0.4, -4.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*r = 397*r - 5*c + 45, r + 3*c = 27. Let 0*h - 2\/19*h**4 + 0*h**2 + r*h**3 + 0 = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25147 + 0.023440146.\nAnswer: 0.274910146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 96103 and 31.\nAnswer: 2979193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n - 30 = 27*n. Calculate the lowest common multiple of -2 + (-11)\/(-6) + 109\/n and 39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) - sqrt(1152)*3)\/(sqrt(28)\/(sqrt(7) + sqrt(252) + sqrt(7)) - sqrt(4)) + ((sqrt(2)*-3 + 0 + sqrt(8)\/sqrt(16))*-4)**2.\nAnswer: 192*sqrt(2)\/7 + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 146 + 153 = 0. Let f = t + 36. Calculate the greatest common factor of 221 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1068 and 29732.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 1. Let y(u) = -u + 3. Let h(f) = f**3 + 7*f**2 + 2*f + 15. Let n be h(-7). Suppose 0 = -13*p + 15*p - 6. What is n*y(s) + p*w(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57842925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2*1\/(-3)). Let x be 4\/n + 4\/(-6). Let r(i) = i**2 - 1 + 1 - i. Determine r(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 19. Let b(o) = -33*o - 10. Let s(p) = -13*p - 3. Let n(j) = -4*b(j) + 10*s(j). Give -7*n(t) - 4*u(t).\nAnswer: -2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011010000100110101 (base 2) in base 10?\nAnswer: 2466101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(77))\/(sqrt(11) - 3*sqrt(176)) + ((sqrt(343) + 1 - sqrt(343))*6*-4)**2.\nAnswer: -10*sqrt(7)\/11 + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 - 13*t + 4818. Is q(0) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-16)*24\/((-42)\/(-7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryjjjjr. What is prob of picking 1 y and 2 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - 3 + 5 + 0*v)*(-v + 5*v - 3*v) to the form h*v + m + j*v**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6097 + -6092. Solve 5*a + 5*s = 4*a - 21, a - 29 = h*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203405875.9999919 - -203405894. Let k = 18 - w. What is k rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 843 + -581. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.2 in -253, -28, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 4:45 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1 + 5*q**2 - 4*q + q + q**3 + q. Calculate the lowest common multiple of 2\/3*3\/2 and p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -3*s**6\/2 - 34*s**3\/3 + 1. Find the third derivative of a(p) wrt p.\nAnswer: -540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-9)\/24)\/1*(-38)\/(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from xlttllytzllxtttt?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:40 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 219795160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 17*l - 29. Let o be d(-14). Suppose o + 11 = 6*c. What is the greatest common factor of c and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.525899 to 2 dps.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3*(-2)\/(-3))\/(-2))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**4\/6 + 19*m. Let o(k) be the second derivative of 1\/6*k**3 - k + 0*k**2 + 0. Give o(a(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 683 + -1600. Let h = -927.78 - g. Let y = -13 - h. Round y to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58562\/(-2303))\/(3*10\/105)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 5*h**2 - h + 4. Calculate s(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81190*c*m**3 + c*m**2 + 7*c*m + 2*c - 3240258*m**3 wrt c.\nAnswer: -81190*m**3 + m**2 + 7*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -1\/2*d**2 - 3 + 59\/12*d**4 - 18*d + 0*d**3 + 147\/20*d**5. What is the third derivative of s(g) wrt g?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o - 2*r - 428 = 0, o - r = 88. Is (o + 2)\/((-30)\/(-105)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 78*z**5 - 65*z**5 + (-3*z**2 - 2*z**2 + 3*z**2)*(-4 - z**3 + 4) + 172*z**3 + 19*z**5 - 172*z**3 + (3*z**2 - 3*z**4 - 3*z**2)*(-z + 2 - 2).\nAnswer: -119*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -33 - 1\/3*q**3 - 11*q + 3*q**2 - 1\/4*q**4. Is n(-6) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 - (6 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 554688 times 0.03\nAnswer: 16640.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 3. Suppose 5 = h*p - 1. What is the third derivative of -7*z**p - 4*z**2 + 9*z**2 + 6*z**6 wrt z?\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-2304))\/(8\/(-36)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3504616*v**3 + 186445*v.\nAnswer: 21027696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 13801692?\nAnswer: 1380169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2\/13*z**2 + 32\/13 - 16\/13*z = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65325.\nAnswer: 3, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-54))\/(290\/288 + -1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.52563 rounded to 1 dp?\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13*l - 10*l - 5*l. Let p(v) be the third derivative of -11*v**4\/12 - v**2 + 222. What is p(r(n))?\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**2 + 4*s**2 + s**2)*(0*s + 0*s - s**2) - 3*s**4 + 3*s**4 + 4*s**4 in the form m + u*s + x*s**3 + h*s**2 + q*s**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {l: 1, y: 1, p: 2, r: 1, u: 3, x: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.953778mg in kilograms?\nAnswer: 0.000005953778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:56 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 divided by -56?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/138 and -23\/159318.\nAnswer: 3664314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -143 + 156 + 5 + -4 + 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*s + 26, -5*s - 47 = -8*c + 6*c. Let t = 0 - -3. Suppose t*g = -g - 4, g = -z + c. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 25 = -5*l, l - 91 = -5*q + 2*q. Suppose 3*n = -0*n + q. What is the lowest common multiple of n and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 + -1.7. Put n, -4, -1 in increasing order.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 0, 5, 5700, 33, 1 in ascending order.\nAnswer: -4, 0, 1, 2, 5, 33, 5700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -17539.1894\nAnswer: -35078.3788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 23, 8, 607.\nAnswer: 8, 9, 23, 607","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1292*w + 153. Let p(h) = 17*h - 2. Let s(z) = -2*m(z) - 153*p(z). Let v(n) = -6*n - 13*n + 23*n. Determine v(s(q)).\nAnswer: -68*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**3 - 4*x**2 - 4*x - 2. Suppose 7*y - 4*y = 9. Let i(q) = 8*q**3 - 5*q**2 - 4*q - 3. Let m(p) = y*i(p) - 4*g(p). Factor m(z).\nAnswer: -(z - 1)*(z + 1)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16664*g**4 - 97*g**3 - 23*g + 152864.\nAnswer: -199968*g**2 - 582*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, y: 3}. Give prob of picking 3 m and 1 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -11. Calculate the smallest common multiple of ((-20)\/7)\/(((-50)\/35)\/5) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -123 and -34?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/150 and -1\/125?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48456 + 285*i + 48456)*(0 - 2 + 5)*(-5 - 5*i**3 + 5) + (2*i - 1 + 1)*(-i**3 - 4*i**3 + 0*i**3) to h*i**3 + q + c*i**4 + u*i + v*i**2 and give c.\nAnswer: -4285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 15*l + 28. What is z(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Suppose -3*d = -5*f - 609, 5*d - 6*d + 5*f = -213. Suppose x - c = 79, -5*x + g*c + 200 = -d. Round x to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**8\/960 - p**6\/720 - p**4\/4 - 7*p. Let w(n) be the third derivative of c(n). Find the second derivative of w(f) wrt f.\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -594, -2527, -5732, -10209, -15958, -22979, -31272?\n\"Answer: -636*x**2 - 25*x + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*0.023\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.0738 - -103.0378. Let n = q + -99. Let k = n - -0.036. Which is the closest to k? (a) -1\/2 (b) -2\/13 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 359, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1916, -5137, -9670, -15515, -22672, -31141?\n\"Answer: -656*m**2 - 1253*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u + 186. Give i(11).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 13. Let n be i(0). Let c be ((-39)\/12)\/((-2)\/40). What is the highest common divisor of c and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 1. Let m be l(1). Suppose 5*p + m*p = 0. Solve -c + 0 + 3 = p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -499*o**6\/15 - o**5\/20 - o**4\/6 - 665*o**3\/6 - o**2 - 4247*o. What is the third derivative of f(p) wrt p?\nAnswer: -23952*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 57. Put -1, x, -4, -3 in decreasing order.\nAnswer: -1, -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3\/32, -1\/2416, -2, -1\/6?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10642, 21047, 31452, 41857?\nAnswer: 52262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j + 68*j - 9*j - 37*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 8 + 11*d**2 + 1 + 0*d**2 - 3 to the form l*d**2 + n + y*d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 - -526\/5. Let r = 8\/25 + 2\/25. Let d = 2.3 + 0.7. Which is the third smallest value? (a) r (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**3*p - 2861*k**3*y + 35*k**3 + 2*k**2*p - 12*k**2 - 3*k*y - 5*k - 47*p*y wrt k?\nAnswer: 60*p - 17166*y + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.46?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -9263.\nAnswer: -9262.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 514?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*5 + (-384)\/(-64) + -6. Suppose -2 = v, -2*s - v = 3 + 9. Let j be 2\/s - (-8)\/(-30). Which is the closest to 1? (a) -0.5 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 783722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2164843311.1 - 195.\nAnswer: 2164843116.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4845 divided by -7?\nAnswer: 4845\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 19*w - 7 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13458013 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q*q**(-2\/7)*q)\/q))\/(q*(q*q\/(q*q*(q**3\/q)\/q*q))\/q)*(q*q*q**(3\/7)\/q)\/(q\/q**(-3\/7)) assuming q is positive.\nAnswer: q**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1 (c) 0.2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 507444*s. Let p(f) = -f**2. Calculate p(l(q)).\nAnswer: -257499413136*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/7))\/(b**(-1\/2)*b)*((b\/(b\/(b\/b**0*b)*b))\/b)\/b*b**(3\/2)*b assuming b is positive.\nAnswer: b**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(1\/4))\/(x**(-2\/3)\/x))\/((x*x\/x**(-1\/5))\/(x*(x*x*x**(-7)\/x)\/x)) assuming x is positive.\nAnswer: x**(-257\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3*g + 3*g)*(-3*g + 2*g + 2*g) + 6*g**2 - g**2 - 3*g**2 + (0*g - g + 0*g)*(-26*g + 8*g + 51*g) - 1 - g**2 + 1 + (3*g - 2*g - 2*g)*(6*g - 3*g - g).\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 18*g**2 - 36*g - 365. Give r(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 404 = 1120. Let m = h - 11465\/16. Let a = 3\/16 - m. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/33 in 2, -1\/2, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 7:05 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5765 - 27*n**5 - 5765 + 2196*n**2 wrt n?\nAnswer: -1620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - 128 - -6) - (-201 - -196)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -26. What is the greatest common divisor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 2*s - 5. Suppose -2 + 8 = 2*n. Suppose 2*v + n*v - 3*l = 4, -4*l = -v + 11. Put v, -2, s in increasing order.\nAnswer: -2, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618805*j**3 + 9251940*j**2 - 2732535*j + 196830 = 0.\nAnswer: -6, 81\/569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 7*k + 22. Let i(d) = d**2 + d + 1. Let n(a) = 14*i(a) - 2*j(a). What is the derivative of n(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)\/g)**(-27)*(g\/g**(2\/5))**33*(g**1)**(-7\/3)*(g\/g**(3\/5))\/(g*g**(2\/3)\/g) assuming g is positive.\nAnswer: g**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 10. Let r be o(7). Suppose r = u - 14. Suppose 0 = 2*f - 7*f + u. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -428660 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1229.67 tonnes to milligrams.\nAnswer: 1229670000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 k when four letters picked without replacement from {k: 10, m: 4}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*g - 1331 + 233 = 338*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 6, r: 4}. What is prob of sequence sr?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3688 is divided by 172.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7819 - 4205. List the prime factors of i.\nAnswer: 2, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 - 4*o**2 + 17*o - 3. Let w(q) = 10*q**3 - 11*q**2 + 49*q - 9. Give -11*r(y) + 4*w(y).\nAnswer: -4*y**3 + 9*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8 - 3 + 2 + 2*q + q**3 - 6*q**2. Give p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + 5*n - 5. Let l(m) = m**2 + 2*m - 2. Let r(t) = t**3 - t**2 + t - 4. Let v be r(0). Let k = 6 + v. Calculate k*j(g) - 5*l(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:08 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -1.1. Let g = c + -0.99. Let l = g - 0.079. What is l rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116674496.57 - -1.677\nAnswer: 116674498.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-24 - 21) + 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/7 - (-8)\/(-28). What is the tens digit of (15\/(-1))\/(m\/416)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099420 divided by -5?\nAnswer: 219884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Suppose 2*o - 8 = -5*k, -2*k + 4*k + f*o - 2 = 0. Suppose 2*z = k, -2*m = -7*m - 3*z + 63. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 47168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -35 (b) 2\/5 (c) 8 (d) 15 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k - 2*r = 20, 0 = -5*r - 20. Suppose -2*i + 0 = -4*b - 2, b = 2*i - 5. Let d be ((-2)\/(-2) + -1)*b. Sort k, 4, d in ascending order.\nAnswer: k, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 251 = -4*t, -203*r + 205*r = -5*t + 331. What is the lowest common multiple of 520 and t?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 1617*x - 1096*x + 41 - 19 to s*x + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/7 - 2792236*v**2\/7 - 11168896*v\/7 - 11168880\/7.\nAnswer: -4*(v + 2)**2*(v + 698055)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -60\/31 (b) 5 (c) 49 (d) -1\/12 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**5\/60 - c**4\/4 - c**3\/2 + c**2 + 4. Let a(q) be the second derivative of k(q). Calculate a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 167.7274ml?\nAnswer: 0.1677274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 756610500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 64687559 to the nearest 1000000.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 336 - 338. Sort -0.1, -10, 1, b in decreasing order.\nAnswer: 1, -0.1, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 100 = 20*s. List the prime factors of ((9\/6)\/(-1))\/(2\/s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 80*y - 507. Let t be s(-7). Let i = -1 - -2. What is the remainder when -2 + (t - i) - -7 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 24 = -12. Let u(p) be the second derivative of 2*p - p**3 + 7\/12*p**4 - 1\/20*p**5 - 7\/2*p**2 + 0. Give u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 1, d: 1, n: 1, q: 1}. What is prob of sequence eqd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 1902 + 765. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449604802 a multiple of 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6113 + -5542. Does 95 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 179\/6. Let q = -557642 - -6686093\/12. Let l = q - -468. Find the common denominator of l and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (160 - 160 - 45*k)*(4 + 0 - 3) - 4*k - 2*k + 5*k in the form p + s*k and give s.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 + 5375*o**2 + 1571840*o + 66846720 = 0. Calculate o.\nAnswer: -512, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 + 32*z - 26. Let b be s(-11). Let g be (-24)\/b + 7\/5. Solve -g*w + 3*n = 0, -n = -2*w - 5*n - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 32 = -3*z - 8, -z + 4 = 2*u. Let q(p) = -9 + 2*p - p + 3 + 4. Let g be q(z). What is the greatest common divisor of 128 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 31 + 2*s**2 - 59 - 2*s + 27. Suppose 5*a - a = 0. Suppose -4*z + 3*q - 25 = -5, a = -z - 3*q + 10. Calculate u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 13515\/465 - 15?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*n = -413*n + 400*n - 6328 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1 + (-24 + 62 + 52)*(-2 + 3 - 3))*(-3 + 3 - 2*l) to the form n*l + p and give n.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from rrrkrkkrkrrkkk?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.02 - 2.019997762. What is y rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102778.62488619+0.01\nAnswer: -102778.61488619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*z + 13 = 1, 2*z + 8 = -4*a. Let p(n) be the second derivative of -5\/12*n**4 + 0*n**3 - 2*n**2 + n + a. What is the first derivative of p(f) wrt f?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, -21, -130, -283, -480, -721?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 5*g - 3. Let o be c(-3). Let d = 0 + o. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 428471694 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcrfrrfcrcrfcfrf. What is prob of sequence rcf?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**2 - 1117617000*y - 62453387934450000 = 0?\nAnswer: -111761700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 118. Let v be s(45). Suppose -v*w = -27269 - 182222. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 292347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -67 + 57 - s - s. Let f(z) = -z - 5. Calculate -4*c(m) + 9*f(m).\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/(-3) - 3\/9. Let r(y) = 2*y + 14. Let w be r(u). Let a = 46 - 19. Calculate the greatest common factor of w and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**3 - 5*y**2 + y - 5. Let w(c) = -8*c**3 + 4*c**2 + 4. Let k(v) = 4*s(v) + 5*w(v). Find the second derivative of k(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 6 + -5 - 7) + (10 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 937*u + 119 + 943*u - 1877*u in the form q + j*u and give q.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -40?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90224848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -816 - -1644?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 0.5, -13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let z(q) = q - 4*q + 2 + 0*q**3 + 4*q**2 - q**3. Let j be z(i). Solve 2*c - 16 = -j*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d - 25. Suppose 5*o = 3*g, 2*o - 16 = -d*g + 3*g. Let t = o + 1. Solve t*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003826 rounded to 5 dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-284)\/32 + 9 + ((-91375)\/136)\/(-25)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*a = 3*a + 16150, 9690 = -3*v - 5*a. Let n be 2\/(-5) - 1382\/v. Let s = n + -10175\/5814. Find the common denominator of -83\/20 and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Let l be p\/(-1 + (-2)\/(-4)). Suppose -o + l*o = -3. Is o at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 35\nAnswer: -13\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49141496*a**5 - 32381262*a**2 wrt a.\nAnswer: 2948489760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(3) + (sqrt(6) + sqrt(24)\/sqrt(4))\/sqrt(2) + sqrt(27) + 1 - sqrt(36)\/(-3*(sqrt(12) + sqrt(432)))))**2.\nAnswer: 3048*sqrt(3)\/7 + 195508\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-81)\/216 - (-58)\/(-16). Which is the second smallest value? (a) i (b) 1.58 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 216067.025 to the nearest one hundred.\nAnswer: 216100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/61 (b) 1 (c) 4 (d) -0.2 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 811 by 11.\nAnswer: 811\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/(12\/(-63)*-14). Which is the smallest value? (a) -2\/9 (b) d (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + 49 - (-136 + 146)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/5)\/m)\/m)\/m*m*m*m*m)**(32\/7)*((m**(-2\/25)\/m)\/m)\/(m*m**9) assuming m is positive.\nAnswer: m**(-142\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (184\/(-20))\/((-3)\/(-10)*(-1196)\/897)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 - 70 = 40*n. Solve 2*h + 2*o + o + 21 = 0, -4*h - 37 = n*o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11292, 22583, 33872, 45159, 56444, 67727, 79008?\nAnswer: 90287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evqovjav. What is prob of picking 1 q and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -8 - -6 - -8 - (0 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1031\/902 - -45\/41. What is the fourth biggest value in 1, f, -2\/7, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2 + (-14)\/8). Let c(s) be the second derivative of s**4\/12 - 5*s**3\/6 - s**2\/2 - 6*s. Let d(r) = r**2 - 6*r - 1. Determine g*d(h) - 5*c(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -419 + 2094\/5. Which is the nearest to -2\/5? (a) -1 (b) -0.5 (c) g (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -156 - -168. Let u = 11 - v. What is the smallest value in u, -2, 4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -15*f**2 - 14*f + 2. Let o(s) = s**2 + s + 1. Suppose 0 = -i - 2. Let b(n) = i*o(n) + q(n). Find the second derivative of b(g) wrt g.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-16) + ((-102)\/(-16))\/(-17). Suppose -3*o = -2*f - b*f + 3, -f + 2*o + 1 = 0. Solve -z - 3*m + 4 = 0, -4 = -4*z + f*z + 5*m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4949 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10)*n\/n**11*n**(-10)\/n*n**(4\/5) assuming n is positive.\nAnswer: n**(-151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2112*f**3 - 8*f**2 - 2*f + 1109. Let d(s) = -6338*s**3 + 22*s**2 + 6*s - 3327. Let n(q) = 11*a(q) + 4*d(q). Find the second derivative of n(x) wrt x.\nAnswer: -12720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 1:00 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3189900 to the nearest ten thousand.\nAnswer: 3190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-218790)*-26)\/((-4)\/(20\/(-3)))?\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 287156421 to the power of 1\/3, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 46 + 41 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59.84 + 60. Let q = w + -0.66. Which is the biggest value? (a) q (b) -11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 + 4 = -t, -4*s + 10 = 2*t. Let z = -4842\/17 + 285. Let n = z + -57\/34. What is the second smallest value in 0, t, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10919492.\nAnswer: 2, 1201, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + f + 6. Let b be q(0). Let v be b + (-16)\/4 - 1. What is the remainder when (0 - v) + (-2 - -6) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2. Let m(o) = -3*o**2 + 17*o + 8. Let j be m(6). Let d(t) = 3 - 3 + 19*t**2 - 27*t**j. Calculate u(d(n)).\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -n - 1260. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -167*t + 226*t - 60*t. Let j(f) = f. Determine 7*h(s) + 5*j(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**4\/4 + 7*y**3\/3 - 3*y**2 + 2*y + 1. Suppose 5*j + 2 = 32. Let q be u(j). Solve -5*i + i = 4*o, 0 = -q*o + 2*i + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*y + 1. Suppose 3*a - 1 = 2*v + 4, 5*v - 25 = -5*a. Let r be (6 + -10)\/((-4)\/v). Is y greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3921 in -2\/3, 0.2, 0, -7, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443926.\nAnswer: 2, 11, 65633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 2*y + 19. Let a be i(0). What is the greatest common factor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxcwxwxxcx. Give prob of picking 2 w and 2 x.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-154)\/(-20) + -7)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-63) + 18755\/(-1089)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pruuuuueu. Give prob of sequence euu.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 371792707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 6*s**2 + 6*s - 2. What is h(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78806 by -39403.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - 13\/(-5). Solve 0 = 3*t - n - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, p: 5, q: 1, z: 3}. What is prob of picking 2 p, 1 y, and 1 q?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -15*q - n + 75, n = 0. Solve -207*b + 208*b - q = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**6\/180 - p**3 + 1. Let f(l) be the third derivative of d(l). Let a(g) = 2 - g - 2. What is f(a(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 16 - (-2 + 1 + -5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/9)*w*w**(-16))\/(w\/w**(-10\/7)*w*w**(-13\/2)*w))**(-6\/17) assuming w is positive.\nAnswer: w**(1601\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*(3 - 8\/3)\/7\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/90 and 7 + (-12)\/2 + (-211)\/66?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*k. Let r be k\/3 + (-1)\/3. Is 0 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -3*f**5\/20 + f**4\/12 - 9*f**2. What is the second derivative of j(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/23166 and -67\/1056276.\nAnswer: 104571324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*a + 630*a**5 + 1033*a**5 + 145*a**5 - 1647*a wrt a.\nAnswer: 36160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-5)*(-10)\/(-4). Suppose 847*i + 20 = 848*i + 3*l, 5*l = 3*i - 60. Solve 0 = -4*j - 5*o + 9 - x, -4*o = -4*j - i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11573 - 7973. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 106. Let a = 49 - i. Suppose x - y - 1 = -0, a*x - 1 = 5*y. Solve 0*b - 4*r - x = -b, 12 = 3*b + r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 134*v. Let r(f) be the third derivative of f**5\/60 - 11*f**2 - 28. Give m(r(k)).\nAnswer: 134*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 - x - 5. Suppose -2*l = -5*q + 3, -5*q + 0 - 5 = 0. Let n be u(l). Which is greater: 2\/11 or n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 15 = 0. Suppose -4*t + 15 = -v - 1, 4*t = 3*v + 8. Solve -m*k + t*y = -5, 0*k + 4 = 4*k + 4*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*m - 4 = 3, 2*p + 4*m + 2 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -3\/2 (c) -0.4 (d) -90\/101 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/3 (b) 1\/7 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -x + 5*x + 60. Let i(g) = -3 - 2 + 2*g - 9*g. Let y(t) = -15*t - 11. Suppose -3*u + 2*u = 7. Calculate u*i(v) + x*y(v).\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g*m*q + 32*g*m + 20064*g*q - 2*g - 2241917*m*q - 1 wrt g?\nAnswer: 2*m*q + 32*m + 20064*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 0*q)*(7 - 14 + 5)*(0 - 2*q + 0).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -3*(2*sqrt(132) + sqrt(132) - sqrt(132))) + (sqrt(132) - (sqrt(132) + 2*sqrt(132))*2))\/(-6*sqrt(48)\/sqrt(4)*5) + 2.\nAnswer: -sqrt(11)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70425)\/9 + 11 - 15\/(-3). Is -7809 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 517, 519, 513, 493, 453, 387, 289?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a**5 - 11024*a**4 - 16262*a**3 - 5932*a**2 - 624*a = 0. What is a?\nAnswer: -156, -1, -2\/7, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 5) to base 7.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/11 - 320*c**3 + 14106*c**2\/11 - 10584*c\/11 = 0. Calculate c.\nAnswer: -1764, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 3*i + 5. Let p(q) = 3*q**2 + 3*q - 6. Calculate -6*p(j) - 7*z(j).\nAnswer: 3*j**2 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 52*k**3\/3 - 8*k**2 + k. Suppose -96 = -27*q + 19*q - 40*q. Let p be r(q). Calculate the highest common divisor of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.288 and 0.312.\nAnswer: -0.089856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.162 + -0.162. Which is the second smallest value? (a) 2 (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -107, -108, -109, -110, -111?\n\"Answer: -j - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301292.\nAnswer: 2, 75323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 + 252*q + 78. What is j(17)?\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**7\/420 + d**5\/120 - d**4\/4 + 7*d**2. Let l(s) be the second derivative of u(s). What is the derivative of l(p) wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 8. Suppose 27 = -2*n + 3*n. Calculate the remainder when n is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4492676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 8. Let n = -1 - o. Let u be 1*(-7 - -5*42\/35). Which is the biggest value? (a) u (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 381672?\nAnswer: 1908360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4578155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + (sqrt(243))**2 + -1).\nAnswer: -1210 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, y: 3, n: 6, a: 6}. What is prob of picking 1 m and 3 y?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 16. What is the remainder when c(6) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -7\/5*k**5 - 11\/3*k**4 - 20*k + 0 - 2\/15*k**6 + 0*k**2 - 10\/3*k**3. Factor v(q).\nAnswer: -4*q*(q + 1)**2*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9950, 9976, 9980, 9956, 9898?\nAnswer: 9800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(891)*-4*-1*-1)**2.\nAnswer: 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.3. Let s = -1.9 + 2. Let o = 78 + -78. Which is the nearest to o? (a) -5 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -43625, -5, -2\/19, 1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {r: 1, k: 4, y: 2, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -12*v**3 - 13*v**2 - 19*v + 14. Let s be u(-9). Round s to the nearest 100.\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 13) to base 6.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 326740.\nAnswer: 1\/81685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -120400000 rounded to the nearest one million?\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -304, -389, -474?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*w**5 + 10*w**3 - 40*w**2 + w + 38166655.\nAnswer: -1140*w**3 + 60*w - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*i**2 + 77 - 27 - 28 - 22 + 338*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*b**2 + 0*b + 0*b)*(7 + 56 - 6)*(-b**2 + 4*b**2 + 0*b**2).\nAnswer: 2052*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6504235 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, 4 in descending order.\nAnswer: 4, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/7 + 82*g**3 - 3390*g**2\/7 + 5066*g\/7 - 2248\/7 = 0. Calculate g.\nAnswer: 1, 4, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-11 - (-2 - 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-1 + 1 + 2*w) + (0 - 2 + 5)*(-3*w + 4*w + 0*w) - 4*w - 2*w + 7*w + (0 - 3 + 2)*(0*w + 3*w - 5*w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144690 + -289600. What is r rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-247)\/(2470\/480) + 17\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -80*u + 38. Let m be s(10). Let w = m + 1070. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 4. Let c = -4 + 4. Suppose -4*j + 2*j = c. Let k be m(j). Let p(y) = 2*y - 3. Give p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f*f**(-5)*f)\/f))\/(f\/(f\/f**(3\/2))))\/((f*f\/(f\/f**(-2\/5))*f)\/(f\/f**5)) assuming f is positive.\nAnswer: f**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469734848 a multiple of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 32 = -0*g. Suppose -r + g = 3*r. Let l(k) = 0*k**2 + 0*k**r + k**2. Let d(p) = p**2. Determine d(l(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 2*a. Let p(t) = -5*t**3 - 4*t + 6*t**2 + 3*t**a + 1 + t**3. Give p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -251) + 10*(253\/22 - 12). Solve 31*o + u = -10*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 41\/2. Suppose -4*l - t + 2 = 0, 7*l - 2*l = 2*t + 9. Suppose -l = 5*m + h - 5, -h = -4. Which is the nearest to s? (a) m (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (sqrt(14)\/(sqrt(6)\/sqrt(3)*2) + (sqrt(70)*-1*-5)\/sqrt(10))**2.\nAnswer: 871\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56.1 + -56. Which is the nearest to 0.1? (a) 0 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 48*x**2 + 15*x**2 - 71*x**2 to z*x + d*x**2 + o and give d.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12199740.5000728 - -12199807.5. Let g = m + -67. What is g rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 - 47*z**4 + 4*z**3 + 2267*z**2 - 2226*z - 17640 = 0. Calculate z.\nAnswer: -6, -5\/2, 4, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*q**4*u + 845*q**4 - 16*q**3*u - 4*q**2*u + 72*q**2 - 66*q*u - u wrt q.\nAnswer: 432*q*u + 20280*q - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1121, -1123, -1125, -1127?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -154a24 (base 13) to base 14\nAnswer: -d927c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/28 + 4\/7. Let l(i) be the first derivative of -3 - s*i**4 - i**2 + 0*i + 0*i**3. Find the second derivative of l(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 16 (b) 0.5 (c) 0 (d) -2\/3 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 16) in base 14?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 408 - 408. Solve -5*h - 5 = -3*w, -2*h + h - 1 = o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1961\/1848 + 40\/77. Find the common denominator of o and -113\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2172*h + 1590 = -2171*h - q, -4*h - 5*q + 6414 = 0. Does 28 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27, -35, -51, -81, -131, -207, -315?\n\"Answer: -r**3 + 2*r**2 - 7*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 73. Give j(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -27. Solve -4*c = j - 17, 3*c - 8 - n = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24085 is divided by 68.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1804669 = -4*s + 7*w, -44009 = -4*s - 5*w + 1760672. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -0*w + w, u = 4*w + 2. Solve x - 3*x + 2*j - 18 = w, j = 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 87 = 9*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 181*i**6\/24 - 335*i**3\/6 - 12*i**2 + 21*i. What is the first derivative of m(a) wrt a?\nAnswer: 2715*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -d + 4*d. Let y be (-9)\/d*(2 + -44). Let b = y + 247. What is the highest common divisor of b and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let n = 2 - 0. Suppose -n*f = f - 15. Sort j, f, -4 in descending order.\nAnswer: f, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 73. Let v(u) = 10*u - 364. Let j(w) = -14*c(w) - 3*v(w). Is 26 a factor of j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*p + 7 = 0, 5*p - 13 = -2*j - 4. Let z(c) = 5*c - 5. Let i be z(j). Let d be (-1)\/(((-1)\/2)\/1). Solve -i*r = -4*r + d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18873 is divided by 2037?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 10*v + 23. Give o(-10).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 73. Let j(o) = -5*o. Let k be j(-1). Suppose -k*s + 120 = -90. Calculate the highest common divisor of d and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m + 5*m + 6*m - 21*m. Let t(o) = -2*o. Calculate n(t(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a minute in milliseconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, 439, 1378, 2703, 4420?\nAnswer: 6535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*x - 51 + 99, 4*q = -9*x + 105. Let p be 10\/(-15) + (-29)\/(-3). What is the greatest common divisor of x and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-256)\/(-24))\/16*3846\/4. Let b = t + -4. What is the remainder when b is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*y - 27*y - 40 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8.1, 2\/15, -0.34, -2862, -3, 1\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**9\/s**25 assuming s is positive.\nAnswer: s**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53567244 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 61176 (base 9) to base 11\nAnswer: 28267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/15 - o**2. Suppose m - k - 1 = -8, 0 = -m + 2*k - 9. Let a(h) = 9*h**2. Determine m*i(s) + 2*a(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*g - 7*g + 4*j, -g = 3*j + 5. What is the least common multiple of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.018 and -19409588.\nAnswer: 349372.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwwddwdud. What is prob of picking 1 w, 2 d, and 1 u?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 3, m: 4, l: 5, n: 5, r: 2}. What is prob of picking 1 r and 1 b?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l + 11. Suppose -6*o = -o + 15. Let s(g) = 14*g - 11. Let z(h) = o*s(h) - 4*i(h). What are the prime factors of z(18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139797322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (287\/21)\/((-1)\/(-15)). Suppose -n + r = n + i, n = -i + 103. Let q = n - 35. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 times 8207734?\nAnswer: -287270.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:59 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -1\/20*n**5 + 0 - 3*n - 2*n**2 + 5\/6*n**3 - 7\/12*n**4. List the prime factors of i(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-342)\/(-12)*(-24)\/18. Let z(k) = -k**3 - 37*k**2 + 38*k + 37. Is 2 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*q - 48 = 129*q + 10*v, -3*q = -2*v + 106 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20959466 - -36559466. Round y to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -35*h. Let a be s(-5). Calculate the highest common divisor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/10*105\/(-14). Let d be -2*(4\/6 - 42\/n). Suppose -55 = -4*s + 37. Solve d = -3*u + s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + 0*s**2 + 4*s**2)*(-2184 - 4521 + 9807).\nAnswer: -3102*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/225 and 61\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -7*v + 3*s - 5, -9*s + 39 + 0 = -v - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*(-85)\/4284)\/(1*5).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/26 + (-4)\/(-104)*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 6) in base 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1085 or 867?\nAnswer: 867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-7 + 16 - -10) - (10 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -9. Let x be 2\/12 - z\/6. Which is the nearest to -0.3? (a) x (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1 + (sqrt(704) - (sqrt(704) - (5 + sqrt(704) + 0 - sqrt(704)))) + sqrt(704) + -6*sqrt(704)*-2)*-6)**2.\nAnswer: 74880*sqrt(11) + 4286736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2107)\/(-1764) - (-4)\/(-9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r**2 - 8*r**2 - 18*r**2 - 2 + 0 as p*r + s + i*r**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*v**3 - 42718*v**2 + 7*v - 3170 wrt v?\nAnswer: -78*v - 85436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 2*f - 2*f)*(-4*f + 4 - 3 - 6) as i*f + u*f**2 + d and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26230693 to the power of 1\/2, to the nearest integer?\nAnswer: 5122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 9 = -13*o. Suppose 1032 = -5*t + o*t. Let b = t - 119. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*a + 174*a - 69*a)*(-2 + 2 - 3*a).\nAnswer: -264*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1476212050540 - 3.\nAnswer: -1476212050543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/4))\/(z**12*z))**(-1\/4) assuming z is positive.\nAnswer: z**(47\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 17, 12, 7, 2, -3?\n\"Answer: -5*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose -x*l + 10 - 2 = 0. Solve -3*p + 2*h + 2*h = -31, 4*h = l*p - 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-24)*-4*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -794\/5 (c) -1 (d) -0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 101221?\nAnswer: 101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (107*m**2 - 104*m**2 - 305*m + 23*m)*(-3*m**2 + m**2 + 0*m**2) as h*m + x*m**2 + d*m**3 + y + w*m**4 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i = -22. What is the least common multiple of 10 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560247?\nAnswer: 13, 257, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53962393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*f**5 + 848*f**4 + 8016*f**3 - 152216*f**2 - 1034028*f + 1177416 = 0. What is f?\nAnswer: -9, 1, 158\/9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58622589 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1191 times -5?\nAnswer: 0.5955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c60c7a + 3?\nAnswer: -5c60c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136005 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**4 - 10*w**3 - 125*w**2 + 250*w = 0.\nAnswer: -5, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1059762, -2119390, -3179032, -4238694, -5298382, -6358102, -7417860, -8477662?\n\"Answer: -z**3 - z**2 - 1059618*z - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2324064t?\nAnswer: 232.4064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from hjqzt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 3*c**2 - 4*c - 1. Let y be r(4). Let x = 403.14 + -399. Let s = x - 0.14. What is the nearest to y in s, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:22 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -11. Let r(j) = -j**2 + 6*j + 2. Let b be r(c). Suppose 0 = 4*k + 16, -4*q + 52 = 5*k - b*k. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6681086 nanograms?\nAnswer: 0.0000000006681086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*5\/(-2))\/(35955\/846).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 11*h - 14*h.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14656 not equal to 14654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*n**4 + 1731*n**3 + 1363527*n**2 wrt n?\nAnswer: -720*n + 10386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - 2*n**2 - 2*n**2)*(n + 0*n + n)*(-5*n**2 - 21*n + 21*n).\nAnswer: -20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwpx when four letters picked without replacement from {x: 4, p: 6, w: 5, u: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(272) - (-2*sqrt(272) - sqrt(272))*-2))**2.\nAnswer: 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 161 - 343 = 8*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12894, 12895, 12892, 12885, 12874?\n\"Answer: -2*g**2 + 7*g + 12889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 2. Let k be s(2). Let p(q) = 3*q**2 - 4*q**2 + 61*q - 62*q + k. Let v be (0 - 2 - -2) + 0. Give p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/((-16)\/6) + -1. Let h be (-1)\/((-4)\/106)*d. Let l = h + 55. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-18) + 14\/(-24) - (-189)\/532.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 99004*g + 7034325 = 0. What is g?\nAnswer: -71, 99075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-24))\/(2\/6))\/(-1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, b: 6, a: 1, c: 2, u: 3, t: 4}. What is prob of picking 2 n, 1 b, and 1 a?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.649901 days?\nAnswer: 401751446.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = 3*l + 24, 0 = 3*k + 5*l - 8. What is the third derivative of 10*a**5 - 10*a**5 - 39*a**2 + 8*a**2 - 4*a**k wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -388409295 <= -388409295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -36*r - 2417. Calculate d(-65).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {f: 1, s: 4, h: 10, z: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4)\/(-2)*(-14)\/(-4) and 17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726444939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16.4. Let l = s + 1.8. Let h = 6 - l. Which is the biggest value? (a) 0.3 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 6. Let b be h(6). Let m(o) = -o + 14. Suppose 29*f - 144 = -57. Calculate the least common multiple of f and m(b).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -413 or -407?\nAnswer: -413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1888 and 16496.\nAnswer: 1946528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/6 - 3*z**3\/2 + 51*z**2. Let j(w) = -2*w**2. Calculate j(r(l)).\nAnswer: -32*l**2 - 144*l - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + -3 - (2 - (7 + (50 - -9))).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -620.05 + 620. Let f = 4 - 6. Let o be f\/(-4) + (-2)\/12. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/208 and 3\/182?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, -7\/9, -528, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 16343*u + 2959. Is n(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awa when three letters picked without replacement from {p: 1, q: 4, a: 9, w: 2, b: 1}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 262828\/4319?\nAnswer: 262828\/4319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*i**2*u*z - i**2*z**2 + i**2 - 2*i*u*z**2 - 7*i*u + 1851*i*z**2 + 7*u*z wrt z?\nAnswer: -2*i**2 - 4*i*u + 3702*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 6:58 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 52784210?\nAnswer: -52784216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 55.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6ab78 (base 13) to base 8\nAnswer: 575336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-1)\/(-5))\/((-6)\/(-15))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*k - 13*k + 4*k as c*k + h and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 274479547\/387 + -709249. Let n = -4\/129 + d. Suppose l + 4*l - 2*m + 8 = 0, l - 20 = -5*m. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 9121\nAnswer: -255388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 517, 518, 519, 520?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/12 + (-1)\/(-2). Let y = 14.58 + -15. Let r = -0.02 - y. What is the second biggest value in r, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 13*j + 7. Give p(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*o = 5*t + 171*o - 8, -3*t - 4*o + 8 = 0. Let p = -2\/39 - -5\/13. Which is the third smallest value? (a) 4\/7 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -75, -199, -375, -603?\n\"Answer: -26*l**2 + 6*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - z + 7, 3*c = -c + 3*z + 31. Solve -2*a + 3*q - 4 = 0, -c*a - 4*q = 1 + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = j - 7, -3*j = -y - 5 + 10. Let v be (2 - 2) + 1 + 1. Suppose 0 = -h - 4*x - 4, v*h + 3*x = 2*x - 1. Solve t + y = -h*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496*23 - (60\/40)\/((-2)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:23 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 h when four letters picked without replacement from thhhhhhh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 11*j - 3. Let r be p(10). Let i = 9 + r. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2066, -4132, -6198, -8264, -10330, -12396?\nAnswer: -14462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*n + 3. Let s be 1984\/192 + (-7 - 2). Let v be (-3 - (-27)\/6)\/(-6). What is the second smallest value in s, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1082 - 1164 = 172*a - 182 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {c: 1, w: 3, j: 3, t: 2, k: 1, r: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -300410 (base 6) to base 3\nAnswer: -1012012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v. Let h(b) be the third derivative of -b**5\/12 - b**4\/12 - 886*b**2. What is h(j(u))?\nAnswer: -45*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 0)\/(6\/(-8)). Suppose 0 = -m - 1 + 4. Differentiate -2*f**4 + m*f**v - 2 + 0 with respect to f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 14*x. Let p be v(-10). Let t be (10\/p)\/(1\/3). Let d = 217 + -215. Which is the closest to t? (a) -1\/4 (b) -2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-36)\/(-8) + -4. Is 1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 2. Let c(u) = 2*u + 1. What is 5*a(o) - 6*c(o)?\nAnswer: -7*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15571856 and 178944.\nAnswer: 3728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**8\/6720 + k**7\/2520 + k**6\/720 - k**5\/120 + k**4\/12 - k**2. Let f(w) be the second derivative of l(w). What is f(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1911*l**2 + 196*l**2 - 1958*l**2 + 91*l**2 to t*l**2 + u*l + f and give t.\nAnswer: -3582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19321 and 639122.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2281, 2282, 2285, 2290, 2297?\n\"Answer: g**2 - 2*g + 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f - 306 + 306 + 34*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b - 3*u = -23, b + 3*u = 7. Is 2\/8 - (-199)\/b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-159)\/(-12) + (-5)\/20. Let w = 14 + -21. Let o = r + w. Calculate the least common multiple of 20 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -586, -1172, -1758?\n\"Answer: -586*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -596, -890, -1180, -1466?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6072 and 704?\nAnswer: 48576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -154\/293 (b) -2\/17 (c) -2 (d) -1\/12 (e) 0.4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2568*l - 6183 + 3085 + 3100 in the form d*l + y and give d.\nAnswer: -2568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-8) + (-3105)\/(-2700). Let k = 5.395 + -0.095. Put -5, 3\/4, k, x in increasing order.\nAnswer: -5, x, 3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093553 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**6\/120 + 17*i**5\/30 + 3*i**4\/2 + 33*i**3\/2 + 3317*i**2. Determine x(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -140*u**2 + 409*u + 1551. What is t(-4)?\nAnswer: -2325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 525144379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3757738, 7515481, 11273224, 15030967, 18788710, 22546453?\nAnswer: 26304196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 152*i**4 + 168*i**2 + 8. Let h(m) = -101*m**4 - 112*m**2 - 5. Let b(s) = 8*h(s) + 5*k(s). What is the third derivative of b(x) wrt x?\nAnswer: -1152*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 - 214224001?\nAnswer: -214223214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - r = 0. Let j = 219 + -99. Let c be 14\/j + (-1)\/5. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6 + 18 - 6*x**2 - 5*x + 7*x**2 - 7. Give s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 23. Suppose 2*j - 3*h = 5*j + 3, -i*j - h = -5. Calculate the least common multiple of j and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - 5*w)*(66*w + 100*w - 109*w)*(2 - 1 + 0).\nAnswer: -57*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**7\/1260 + b**4\/6 - 2*b**2. Let f(j) be the second derivative of y(j). Let z(x) = -1 + 1 - x**2. What is f(z(l))?\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7141 - -7225. Calculate the remainder when y is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*f + 5*z, 0 = 5*z - 0*z - 10. Let x be (-80)\/(-15)*15\/4. Suppose 5*r + x - 100 = 0. Solve 0 = -f*l + 4*l - r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 426 and 97767.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*z**2 - 5*z + 314*z**2 + 6*z - 12 - 2*z + 11 as r + x*z**2 + s*z and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*z - 40, -5*t + 0*t + 2*z = -60. Let x(i) = i**3 - 13*i**2 + 5*i - 15. Let o be x(13). What is the greatest common factor of t and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 13\/(24\/(-4) + 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548508 (base 10) in base 12?\nAnswer: -225510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose p - 30 = -3*y, -3*y + 21 = -c*p + 4*p. Calculate the highest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 3*w**2\/2 + 5*w + 4. Let z be i(-6). Let a = z - -26. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -67*u**4 - 44*u. Let i(s) = 67*s**4 + 43*s. Let l(y) = 5*c(y) + 4*i(y). Find the second derivative of l(g) wrt g.\nAnswer: -804*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 7 + 16 + -18.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -646*y**4 + 87*y**3 - 295*y**2 + 32 wrt y?\nAnswer: -15504*y + 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bao when three letters picked without replacement from {o: 1, a: 1, b: 2, r: 2, x: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -738, -1078, -1420, -1764, -2110?\nAnswer: -2458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x. Suppose 3*w + 17 = y, x = y + 4*w + 6 - 2. Suppose 0 = l - 8*g + 5*g - 16, 0 = 2*l + 2*g + y. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:07 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2*f**2 + 5*f**2 - 3*f**3 - 3*f**2.\nAnswer: -3*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96542, 386472, 869800, 1546532, 2416674, 3480232?\n\"Answer: b**3 + 96693*b**2 - 156*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -142, -450, -1062, -2080, -3606, -5742?\nAnswer: -8590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 1030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7560*a - 10746*a - 5424*a - 14227*a + 4639*a)*(-2*a + 2*a**2 + 2*a).\nAnswer: -66636*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {a: 1, v: 11, d: 1, b: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 11*a - 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2395367 + 12599688. Let p = n + -5474321. Round p to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-35.5328867\nAnswer: 10.65986601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Is (b\/3)\/(1\/339) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/((-21)\/175). Let m = 92075\/2 + -46035. Let -25\/2 - 5\/2*i**3 + n*i**2 + m*i = 0. What is i?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1432 divided by 24040.\nAnswer: 179\/3005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 6*m**2 + 3*m + 5. Suppose 5*v = -0*y - 3*y + 12, 0 = 5*y - 2*v - 20. Calculate q(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than 40?\nAnswer: 41.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**6\/d)\/d)\/d)\/d**13)\/(((d**(-4)\/d*d*d)\/d)\/d**(-1\/22)) assuming d is positive.\nAnswer: d**(-133\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254088 is divided by 836?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109.9 + 108. Sort 5, b, 0.3 in ascending order.\nAnswer: b, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20351 - -36535. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -526097.0999996 + 526097. Let i = -1.9 + 2. Let f = i + n. Round f to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d + 37. Let s be u(-6). Suppose 0 = -10*j - s + 1611. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*j + 7 + 3, 3*j + 3 = 0. Let n(s) = 0 - c + 12*s + 5. Does 8 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8486)\/(-2)*(-18 + 35 - 16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37, -3, -1, 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, -2, -6 in decreasing order.\nAnswer: 12, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.29 + 2.71. Which is smaller: l or -8\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 3, n: 1, l: 1, y: 3, o: 2}. Give prob of sequence oo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 150912617771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - k)*(-k**2 + 0*k**2 + 2*k**2) - 5*k**3 + 6421*k + 6412*k - 8*k**2 - 12835*k - 3.\nAnswer: -6*k**3 - 8*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -0.1 (b) 5 (c) 0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (7 + -13 + 50)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1399453092 to the nearest integer?\nAnswer: 37409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*o = -2*o + 131694. Is 140 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 10*m + m - 3*m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x**12\/x)\/x)*x**11 assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 4*s - 5. What is f(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 - b**3 + 0*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669537667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 14. Let b be j(4). Let l(m) = 1555*m - 41. Is l(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 11*d**2 - 13*d - 12. Let k be x(-12). Suppose -2*r + 254990 = -5*g, k = -9*g + 4*g - 3*r - 255015. Round g to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 9. Let j be 34\/r + 9\/(-6). Suppose c - 576 = -j*c. What is the greatest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4910*q = 207668 - 25998 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**3 - 972*j**2 + 26*j - 26. Let t(i) = -2*i**3 - 485*i**2 + 12*i - 12. Calculate -6*s(x) + 13*t(x).\nAnswer: -2*x**3 - 473*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 732.736 + -12.436. Let x = a - 718. Which is bigger: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108241.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -103. What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/103 or -31\/2?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 + -3. Let q = 0.5 + y. Let i = -1 + 3. What is the nearest to q in 3\/5, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.2952 nanometers in kilometers?\nAnswer: 0.0000000000422952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 2*j + 14, 4*l - 30*j + 46*j - 20*j + 28 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-61595.\nAnswer: 123190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -39138 less than -39146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -0.7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8176464, 16352937, 24529432, 32705961, 40882536, 49059169, 57235872?\n\"Answer: 2*o**3 - o**2 + 8176462*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/1512 and -71\/1512?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*n = -19*n + 78. Solve 0 = -2*b + 3*l - 4, -2*l + 0 = -5*b + n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -208? (a) 8 (b) -2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -83 and 4709.075?\nAnswer: 4792.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139.4 + 142.4. What is the second biggest value in -13, -0.034, f?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**3 - 5*r**2. Let b be f(-4). What are the prime factors of b\/40 + (-2)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 + 46*x - 3. Let y(g) = 6*g**2 - 92*g + 5. Let m(s) = -5*q(s) - 3*y(s). Find the second derivative of m(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18972309 to the power of 1\/2, to the nearest integer?\nAnswer: 4356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbbz when four letters picked without replacement from {z: 2, i: 1, r: 1, b: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**2\/5 + 979671*r\/5 + 3918636\/5 = 0.\nAnswer: -326553, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3572, -3645, -3712, -3779, -3852, -3937, -4040, -4167?\n\"Answer: -y**3 + 9*y**2 - 93*y - 3487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 877568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 147. Let i = 13.7 - -104.3. Let s = k - i. Sort -2\/11, 0.4, s in decreasing order.\nAnswer: 0.4, s, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*v**5 + 150463*v**3 - 38164*v**2 + 30*v - 3?\nAnswer: 1560*v**2 + 902778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -697, 1, -5, 3.\nAnswer: -697, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s + 4*c - 25 = 0, s - 26 = -5*c. Calculate the common denominator of (-116)\/40 + 7 - (-1 - -3) and (-290)\/12 + s\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.7 + -7. Let f = -0.0081 + 0.0479. Let m = 19.9602 + f. Does x = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 + 8172*x**3 + 65730*x**2 - 925004*x - 982560 = 0. Calculate x.\nAnswer: -15, -1, 8, 4094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*o - 0*o. Suppose 5*n = -b + 1257, -5*n - 71 = o*b - 1336. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -5614.3?\nAnswer: -5614.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*y = -157*y. Let 0*c + 0 + y*c**2 - 5\/3*c**4 - 5\/3*c**3 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 80, 42, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2. Let o(k) = 3*k + 38. Let r be o(5). Let s(x) = -22*x + r*x - 27*x + 3. Determine n(s(c)).\nAnswer: 16*c**2 + 24*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2509 (b) -0.2 (c) -2\/11 (d) -21\/19 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 801*r - 33306. Determine l(38).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -882*k*s*z**3 - 2*k*s*z**2 - k*z**3 + 1943*k*z**2 - 2*k*z wrt s?\nAnswer: -882*k*z**3 - 2*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26996 + -998850\/37. Let y be (3 + (-42)\/10)\/(-2). Put 2\/7, y, u in decreasing order.\nAnswer: y, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 18*u**2 + 21*u - 9. Let l be i(10). Which is the nearest to l? (a) 5 (b) 12\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27057301.\nAnswer: 617, 43853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 - 2*j**2 + 188*j - 187. Give n(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -4 - 7)\/(-8 - 56\/16).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - -1) + -212 + 225.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72353737*f**3*m + 2*f**3 - 2678*f**2 - f - 494 wrt m.\nAnswer: -72353737*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*b - 542 = 0, -3*r + 2*b - 3*b - 1626 = 0. Is r at least -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 4, o: 2}. Give prob of picking 1 o and 1 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -743660.317 - 0.614571.\nAnswer: -743660.931571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*t**3 + 152*b**2*t**2 - 4*b**2 + 12 wrt t.\nAnswer: -6*b**2*t**2 + 304*b**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:25 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*f + 3*r - 17 = 229*f, 20 = 5*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - d - d + 18 = 0, t + 3*d - 14 = 0. Let c = t - -1. Suppose -119 = -c*o - 5. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/31)*v)\/(v\/(v**(-1\/15)*v*v)) assuming v is positive.\nAnswer: v**(854\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(5\/((-25)\/(-7)) - 1). Which is the closest to 1? (a) -1 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -127, -2, -4 in decreasing order.\nAnswer: 1, -2, -4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*s - 54 - 52, -558 = -5*u - 4*s. Let i(j) = j**2 - 8*j - 21. Let b be i(6). Let r = b + u. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/60 - 3*a**2. Let j(x) = 2*x. Give j(q(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -5 (c) -2\/77 (d) -0.4 (e) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -31*q - 104. Let f be t(-9). Let b = f - -200. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166421, -172643, -189533, -222425, -276653, -357551?\nAnswer: -470453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*i - 3*n + 234999 = 288*i, -5*i + 5*n = -391645. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by 108\nAnswer: 55\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/9, 2\/11, -4\/9, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197136.2 years to centuries.\nAnswer: 1971.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 14*i. Suppose y = 3*s - 9, -5*s - 5 = -i*s + 5*y. Is s at least as big as -2.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/15 + 22*s**2\/15 - 4*s = 0. What is s?\nAnswer: 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194 divided by -1447?\nAnswer: -2194\/1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 7) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 - 108\/5.\nAnswer: 3*(s - 6)*(s + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101110001 + 0?\nAnswer: 100101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = 4*w + 5*o - 675, 595 = 5*w + 5*o. Suppose p + 4*p = -5*a - 310, 4*p - 4*a + 248 = 0. Let q = p + w. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(-1)*-5. Which is the nearest to 1? (a) -4 (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) + 2425\/(-10500)*7?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1286? (a) 4 (b) 0.4 (c) -3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 29514 = 1352. Calculate the highest common divisor of d and 976.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(4\/7))**(-9\/4)*((s*s**(3\/5))\/s)\/s*s*s*s**(-17))**(-42) assuming s is positive.\nAnswer: s**(7953\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71480656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -303, 1 in decreasing order.\nAnswer: 1, -99, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015013 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1557 is divided by 199?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*h - 71*h + 20 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcx when three letters picked without replacement from xfffxfcx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-32)*-3*16\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(1\/2)\/d))**(-2\/65)*d\/(d\/(d\/(d*(d*d**(-5)*d*d)\/d)))*d*d\/d**8*d)**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 1\/14*f**4 - 1\/7*f**2 + 5 + 10\/21*f**3 - 10\/7*f. Find y such that a(y) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**2*x**2 - 3035*k**2*x + 3*k*x**2 + 5*k - 515*x**2 wrt k?\nAnswer: -6*x**2 - 6070*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 7. Let i(v) = -v - 2. Let h(d) = 20*d + 135. Let z(r) = -h(r) - 6*i(r). Let k be z(-10). Is k bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 49744.\nAnswer: 149232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 2)*(v + 3 - 3)*(-1 + 3 + 0)*(-71 + 75 + 107) to b*v + c and give b.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 6*t - 103. Let b be s(0). Sort 3, 4, b.\nAnswer: b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**2 - 1467*l - 8789 wrt l.\nAnswer: 2*l - 1467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 5600?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 75289571\nAnswer: 30115828.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -31*h**6\/120 - 3*h**4\/8 - 4*h**2. What is the second derivative of z(i) wrt i?\nAnswer: -186*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 9. Suppose -z + 755 = -0*s + p*s, -5*s + 1230 = -4*z. Suppose v + f + 3*f = 35, -5*v = 5*f - s. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -430 - -539. Suppose 56 = -95*y + j*y. What is the lowest common multiple of 44 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28369 is divided by 25011.\nAnswer: 3358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183710 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/9*l + 4\/9*l**4 - 4\/9*l**2 + 4\/9*l**3.\nAnswer: 4*l*(l - 1)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 24. Let s(u) = -2 + 2*u + 0*u + 0*u**2 + 3*u**2 + u**3. Determine s(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 12:35 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14329, 13793, 12299, 9367, 4517?\nAnswer: -2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -5, 1\/3, -5.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*3\/9*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 (base 4) in base 15?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 10. Let l = -4 + f. Let n be 16\/(-36) + (-4)\/(-18). Sort -4, l, n in decreasing order.\nAnswer: n, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0457 (b) 0.09 (c) 3 (d) 0 (e) 1\/2 (f) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2\/5 + 13*u\/5 - 12\/5 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -1\/7, 3\/7, -6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-8)*56\/(-6). Solve 5 = -q*r + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + w**3 - 8*w**3 - 4*w**3 + 7*w**3 + w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -88422 and 29.\nAnswer: -88393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 + 91. Let l(x) = -5*x + 671. Is l(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -423*s + 8065. Let p be x(19). Solve -p = -3*j + 5*t, -20*j + 19 = -21*j - 4*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 1. Let i(v) = 2*v**3 + 20*v**2 - v - 5. Let f be i(-10). Let j(a) = a + a + 5*a - f*a + 2. Determine -2*j(c) - 3*r(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1014374644 and 4988?\nAnswer: 4988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**3 - 4*i - 3. Let t be b(-2). Let w = t + -26. Let d(k) = 45*k - 26. Is d(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + sqrt(77)\/(-1*sqrt(7) - sqrt(7)) + -1 + 2 + sqrt(539)*2*1)**2.\nAnswer: 54*sqrt(11) + 8035\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, g: 1, y: 1, e: 3, b: 2, r: 2}. What is prob of picking 1 a and 3 e?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let f = 2470 + -2467. What is the least common multiple of 2 and n + 0 - f\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2. Suppose 4*g = -4*b - 4, b - 6 = -2*b. Let c(y) = -y**2 - 5*y - 4. Let p be c(g). Let d(w) = -26 + 26 + p*w. Determine d(o(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 9:42 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006727454 to seven decimal places.\nAnswer: -0.0000673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*t - 6, -5 = -6*z + 3*z + 4*t. Let f = 1 - -3. Suppose 2*d - f*d = 6. Which is the closest to z? (a) 3 (b) 1\/10 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.3. Let g = 0.016 + -0.016. Sort -1, g, w in increasing order.\nAnswer: -1, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8117617 to the nearest one hundred thousand.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 12*h + 6. Let w be 0 - (-12)\/(h\/3). Find the third derivative of 36*a - 36*a + w*a**3 + a**2 wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/3218 and -44\/9?\nAnswer: 28962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmmmmfbbfmbfzmf. Give prob of picking 1 m and 3 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 520123191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 88*w - 505. Calculate i(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = -4. Find the second derivative of 11*c**2 - 11*c**r + 3*c**5 - 2*c**5 + 3*c wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171396, -342825, -514280, -685773, -857316, -1028921?\nAnswer: -1200600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.7761633 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**3 - 26*q**2 + 9*q - 5. Let r be x(-6). Let h = -73 + r. Solve -3*d = -0*d + h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 25 - ((-40 - -105) + -97)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 divided by 2?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2962, 2957, 2952, 2947?\n\"Answer: -5*g + 2967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*s - 31. What is the second derivative of 6*p**4 + 8*p**5 - s*p**4 + 0*p + 4*p wrt p?\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -19*r. Let h(s) be the third derivative of s**2 + 0 + 0*s**3 + r*s - 1\/6*s**4. Let w(i) = -3*i. Calculate w(h(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 3\/332, 17\/40?\nAnswer: 17\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 87437 (base 12) to base 4\nAnswer: 223212223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29345 and -0.06.\nAnswer: 29344.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(325)*2).\nAnswer: -18 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u. Let a(n) = -1127*n**2. Calculate i(a(r)).\nAnswer: -2254*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 bigger than 21984100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*x + 30450, 3 = 4*x - 7*x. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + 7*k + 6. Let y(a) = -4*a**2 - 6*a - 5. Let l be ((-5)\/(-2))\/(1\/(-2)). Let q be -54 - (-21 + (6 - 33)). Give l*u(d) + q*y(d).\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -134, 1, 134, 265, 394, 521?\n\"Answer: -l**2 + 138*l - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 - (-1 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 - 3185 = -251*u + 2633 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20bae (base 15) to base 11.\nAnswer: 71065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 310521.3166 to the nearest ten.\nAnswer: 310520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25556 and 235025754.\nAnswer: 470051508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.80024 - -0.8002287237. What is f rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.5 (b) 1 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2854455 + 3?\nAnswer: 2854458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 5*k + 4. Let b be l(-3). Suppose 39*v = 38*v + 3*y + 10, 15 = -3*y. Put b, 0, 9, v in descending order.\nAnswer: 9, 0, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*t**4 - 2*t**3 + 2*t**2 - 222*t.\nAnswer: 3228*t**2 - 12*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 154*x**3 - 2*x**2 + 4*x - 1. Let z be (5\/(-15))\/((-1)\/6*2). Let a be b(z). Suppose 548 = 3*y + a. List the prime factors of y.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 79*r**5\/20 - 4*r**2 - 318*r - 2. Let i(j) = 4*j**2. Determine m(i(y)).\nAnswer: 3792*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-20 + 17 - (10 - 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(75)*-1 + 4))**2 - ((sqrt(15)\/(sqrt(5)*-1*-5))**2 + 4))*-2.\nAnswer: -40744\/25 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10303 * 2.59\nAnswer: 26684.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107602 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -119626 divided by 6\nAnswer: -59813\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - y + 4. Let x be s(-4). Suppose -z + x + 70 = 0. Calculate the least common multiple of z and 12.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.91 + 0.09. Let i = 3 - 4. Let l be ((-6)\/(-75))\/(-1 + (-4)\/(-5)). What is the closest to d in l, -5, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 124 = 9*v. Let j = 67 - v. Suppose -41 = 5*w - q - 3*q, -5*w = j*q + 5. Which is the smallest value? (a) w (b) -3\/7 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Factor -b**3 + 0*b**3 + b**3 + 2*b**l - 2*b**4.\nAnswer: -2*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4811 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700) + -3*sqrt(1700) + sqrt(1700))) + 5 + (sqrt(425))**2.\nAnswer: 20*sqrt(17) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 999.9 - 1000. Let v = 3 + -2. What is the nearest to v in -0.5, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41.961 + -42. Let p = 0.271 - d. Let h = p - 0.41. What is the nearest to h in 3, -4\/5, -7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*w = 304*w + 360*w - 5166 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -2\/7, -12, -1\/8, 1\/14?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276441 (base 9) to base 3.\nAnswer: 22120111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 228984 * 597\nAnswer: 136703448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3883.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421161704.\nAnswer: 2, 52645213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n + 10. Let t(a) = -2*a - 3. Let d(r) = 3*b(r) + 8*t(r). Suppose 68 = 15*g - 11*g. Let h = 13 - g. Calculate d(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-5 + (2*sqrt(3) - sqrt(3))*-6)*-2 - (sqrt(9) - (sqrt(9) + sqrt(72)\/sqrt(2)))\/(sqrt(24)\/sqrt(128)).\nAnswer: 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 x, and 2 y when four letters picked without replacement from {w: 8, x: 3, y: 5}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -3, -6, -4, -2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*g - 331 - 511 + 86 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbbiidiczccicbcc. What is prob of picking 1 i and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + 0*x + x)*(-3*x + 4*x + 0*x) - 16 + 2*x**2 + 16)*(-6 + 6 - 6*x**3).\nAnswer: -18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/853 in 2, -3\/5, 0.138, -0.5?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 72 = -5*c, 8*k = c + 4*k. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -10\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 2070814\/(-684)) + 10\/95. Let b = -3026 + t. Find the common denominator of (1\/2)\/((-21)\/171) and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - (-3 - 0))*(8 + -7). Suppose n = 3*v - 2*b - 117902, b = 2*v - b - 78602. What is v rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.834893 seconds to weeks.\nAnswer: 0.0004941053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.2509 + 0.2209. Let k = y + 9. Let t = -0.36 - k. What is t rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {d: 2, o: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1481263, -1481232, -1481163, -1481038, -1480839, -1480548, -1480147, -1479618?\n\"Answer: 3*v**3 + v**2 + 7*v - 1481274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = o - 46, -2*o + 0 + 4 = 0. Solve 2*d + p = -k, 0 = -4*d - p - 11 - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 1, t: 1, z: 1, p: 1}. What is prob of sequence ffz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(126)*3)\/(sqrt(112)*3*1 + sqrt(112)))**2*-4.\nAnswer: -81\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-20\/11)\/(((o**(2\/5)\/o)\/o)\/o)**(-1\/12))\/((o**(1\/4))**(-1\/5)\/((o*o\/(o*((o**(2\/3)*o)\/o)\/o*o))\/o*o)**(-8)) assuming o is positive.\nAnswer: o**(-107\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnlcnww. Give prob of sequence cl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -94188363 >= -94188365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0070146 to 4 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 + 22*a**3 - 74*a**3 + 2*a**2 + 28*a**3 + 8 - 30 + 22*a**3 in the form c*a**3 + q*a**2 + i*a**4 + n*a + x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -11. Let h = -7.9 - m. Let x be (-4)\/3*(2 + 1). Sort 0.4, x, h in increasing order.\nAnswer: x, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 195, 178, -51, -492, -1145, -2010, -3087?\n\"Answer: -106*d**2 + 301*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 696*c + 99. What is the tens digit of m(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12202 * -66.\nAnswer: -805332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 2*u + 38 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 129908*h**2 - 2344903330*h + 7417865426224.\nAnswer: -2*(h - 30481)**2*(h - 3992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g + 793365 = 792945 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(117) + 2*sqrt(117)))\/(sqrt(18)\/sqrt(2)*6) + -4.\nAnswer: -2*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -216321700 rounded to the nearest one million?\nAnswer: -216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(5) - sqrt(30)\/sqrt(6))*4 + sqrt(20)\/sqrt(4)*1)*3.\nAnswer: -3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 3. Let i(a) = -a + 2. Let d(w) = -w**3 + 12*w**2 + 13*w - 4. Let k be d(13). Calculate k*i(f) - 3*b(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2017, 6014, 12661, 21952, 33881, 48442?\nAnswer: 65629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 550.0036mg?\nAnswer: 550003600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1 + (2 - 1 - 3)*(-4 + 1 + 1) + 41 - 86 - 37 - 4 + 5 + 0)*(-17*t**5 - 21*t**5 + 93*t**5).\nAnswer: -4345*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 2. Let z(g) = 2*g**2. Calculate n(z(b)).\nAnswer: 4*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020685783 rounded to 6 decimal places?\nAnswer: 0.000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -51, 85, -3 in increasing order.\nAnswer: -51, -3, -2, 1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/8*-4*2\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -578295 or -578294?\nAnswer: -578294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 510?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**2 - 111914*p + 559520 = 0.\nAnswer: 5, 55952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.7245 and -0.1?\nAnswer: -0.37245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a - -22754b1?\nAnswer: 227550b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6664269\/(-16314)*(-4)\/38?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -323\/5. Is 0 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:42 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 + 170*q**3 + 460*q**2 - 170*q - 465 = 0 for q.\nAnswer: -31, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195580154.0000119 - -195580225. Let c = n + -71. Round c to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1597 and 5358?\nAnswer: 8556726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 4. Let z be r(6). Let q = z + -10. Suppose 0 = q*d - 3*d - 9. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354238?\nAnswer: 2, 241, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1331894, -2663414, -3994934?\n\"Answer: -1331520*f - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (169*b**2 + 36*b**2 + 211 - 211)*(b - 4*b + 4*b) in the form m*b + p*b**3 + y + c*b**2 and give p.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 629 = 6*k + 3*d, 5*d - 233 = 2*k. Let n = 129 + k. Let m(q) = q**3 - q**2 - 15*q - 7. What is the tens digit of m(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(3\/5)*-1. Let o be (-207)\/q + (-6)\/15. Let v = -25 + o. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 2255*x - 35952.\nAnswer: -(x - 4494)*(x - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + (1 - (-2 + 3)). Suppose -25 = 2*i - l*i. Solve i = -4*q - 5*a, 4*a - 3*a - 20 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25736 divided by -6434?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**3 - 5644*k**2 - 1503744*k - 123125760.\nAnswer: -2*(k + 192)**2*(3*k + 1670)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1127022551 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/20 - 2*y**4\/3 - 5*y**3\/6 - 5*y**2 - 2*y. Let f be d(9). Let v = f + -13. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27435.\nAnswer: 3, 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4 - 2. Suppose n - 11 = 7. Calculate the greatest common divisor of n and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = 1. Let i be (4\/(-4))\/(q\/(-1)). What is the lowest common multiple of -9*(i - 6\/(-9)) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(54)\/sqrt(144)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -224.8 times 0.2\nAnswer: -44.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/(-672)*(-4)\/(-6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -621*k + 533*k - 4664 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 2*i. Let q be c(8). Let y be (-9)\/24 - (-2 + (-78)\/q). Solve -4*w - w - 25 = y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31437278*k**3 + 2848438*k + 9 wrt k?\nAnswer: 188623668*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4030 + 13454?\nAnswer: 20514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -15*y + 119. Let v = -88 - -100. Is y at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97087.85 grams in nanograms?\nAnswer: 97087850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19227 = 4*c + 3*v, -5*c - 28*v + 23*v = -24040. Does 71 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -39*a + 1499 - 941. Let n(m) = -m**3 - 4*m**2 + 3*m - 6. Let o be n(-5). Let y = o - -16. What is the smallest common multiple of y and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrry when four letters picked without replacement from {r: 12, y: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2734*165\nAnswer: -451110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 10*t - 3. Let d(f) = -f - 1. Let q(y) = 3*d(y) - m(y). Calculate the remainder when q(-11) is divided by (-68)\/(-6) + (-6)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 792*h + 1 + 14.\nAnswer: 792*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44\/5 of a centimeter?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -17\/203816?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-14)*532\/(-133)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614267 is divided by 76781?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56339635873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259 + 227. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - -1391096?\nAnswer: 1391139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 2*p + 11. Let s(r) = -2*r**2 - 3*r - 11. Give -2*s(j) - 3*u(j).\nAnswer: -2*j**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88*(-319)\/1193060*(5\/2)\/(-1)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040342.234 rounded to the nearest 10000?\nAnswer: -2040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*d**3*m + d**2*m + 731*d**2 - 5*d*m - 384*d - 8*m - 6 wrt d.\nAnswer: -744*d*m + 2*m + 1462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40905939 by 40905939.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4934 + 4934.4. Which is the fourth smallest value? (a) -1\/5 (b) 4\/5 (c) -2 (d) v (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1584) + -4)*-5 + -1 + sqrt(1584) + -4 + (-6*sqrt(1584)*-2)**2)*1*-6.\nAnswer: -1368666 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187300691 and 1688.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let w be a(7). Let v = w + 9. Are 0.1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 480571.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 15 + 7 + -7 + -66 + 54.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281 - 301. Let b be ((-5)\/15)\/((-5)\/f*2). What is the closest to -2 in 0.4, b, 1\/4, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 bigger than 116734.79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*g - 24174 + 29763 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7*q - 16. Let z = q + 40. Suppose 2*n + 5*h - z = 79, 0 = -5*n - h + 342. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/9 and 37\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -19 + 20 - (-141 + 2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 - 471. Let o = 637 + a. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 9, o: 2, b: 8}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85381 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 - 133 = m. Let f = m - -74. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1631.\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13930*v*z**2 - 5*v*z + 10*v - 81*z**2 + 53438*z wrt v.\nAnswer: -13930*z**2 - 5*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.5 - 42. Let z = n + 22. Sort z, 5, 2 in decreasing order.\nAnswer: 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 93, 1\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78865*c**4 + 2*c**3 - 3*c**2 - 2*c - 2275167 wrt c.\nAnswer: -946380*c**2 + 12*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/12 - 2\/1. Let f be (8\/(-12))\/(1\/(-4)). Which is the closest to 2? (a) 4 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63*-4*(-6)\/(-168)*35\/21\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 104077.\nAnswer: -208154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (102\/255)\/((-1)\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4046 (b) -1\/3 (c) -5 (d) 0 (e) 1214\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*x\/((((x*(x**(-6)*x)\/x)\/x)\/x)\/x)))*x))\/x*x\/x**(1\/8))**(2\/47)*x**4\/x**3*(x\/(x*x\/x**6))\/x**(2\/11) assuming x is positive.\nAnswer: x**(11141\/2068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 809*w**2 + 4100*w - 21. Determine s(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + r + 4 = 0, r - 3 = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 + 1 + 20 + -19 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -113*i**2\/2 + 120*i - 95. Let a(n) = 339*n - 360. Let w(d) = 2*a(d) + 7*v(d). Find the first derivative of w(u) wrt u.\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -21. Let s be (8\/w)\/(12\/27). Suppose -s*v + 5*v = 14. Solve -8 = -3*t + v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2)\/(2\/(-5)). Let m(i) = -445*i + i**2 - 14 + 13 + 6 + 438*i. Determine m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 5 = -3*o. Let m be (-4)\/(-27)*o\/(-2). Is m bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p - 317543 + 317543.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -136)*(-21)\/105\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dld when three letters picked without replacement from dlddglgdgd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 3, -2\/23, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:30 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/10)\/((-6)\/5). Let v = 5007 - 3690161\/737. Let g = v - 5147\/4422. Which is the biggest value? (a) g (b) -0.3 (c) o (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17704 - 2594 = 1511*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3649 is divided by 804?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-144))\/(280\/138 - 2) + (165 - 161)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**10\/10080 - p**9\/840 + 9*p**8\/2240 - 5*p**4 + 50*p**2 + 1. Let x(k) be the second derivative of q(k). Factor x(n).\nAnswer: 3*n**3*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1517390 by 7.\nAnswer: -216770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 5*u**2 - 3*u. Let i be (1 + 1\/(-2))*8. Let y be t(i). Suppose -3*v - y = -43. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7145954679.\nAnswer: 3, 71, 33549083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1686a (base 12) to base 15.\nAnswer: -98ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -107046122 to the nearest one hundred thousand.\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 83300*r + 83296*r + 22, -5*z = 2*r - 7*r - 115 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:50 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 619.1 - 619. Let o be ((-55)\/(-10) + -5)*4\/(-6). Which is the nearest to o? (a) j (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.2, -6\/13, -550, 0.5 in ascending order.\nAnswer: -550, -5.2, -6\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-10)\/q*q**(2\/29)*q*(q*q**(-3\/5))**40 assuming q is positive.\nAnswer: q**(205\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4 - 2 = 0, 200*o - 2*x + 4 = 196*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:02 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*-68\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + o - 5, -44*m - 25 = -47*m + 2*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 627\/26506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (6\/(-9))\/((-14)\/(-63))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(592\/925)*-1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:10 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 59*n - 1017. Determine g(42).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 312\/(-56) + -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 15. What is n(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 587908497 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*93\/(-2). Let d = 8 - z. Let f = d - -32. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478551 is divided by 489.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/45 - (-2 - 34\/30). Let t(u) be the third derivative of -1\/16*u**4 - 1\/6*u**v + 0*u + 0 - 1\/120*u**5 + 6*u**2. Factor t(x).\nAnswer: -(x + 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 10:41 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.108, -30, -5?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 7*t**2\/2 - t + 1. Let m(l) = l**2 + l - 23. Let q be m(4). Let n be ((-7)\/(-3) + q)*15\/10. What is r(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*o**3 + 8*o*q**2 - 2*o - 2*q**2 - 45*q wrt o?\nAnswer: 30*o**2 + 8*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8801 + 8070. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3077431 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 10021?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.71 - -2.41. Let b = -16.3 - s. Sort b, -1, -0.1, 2\/17 in increasing order.\nAnswer: -1, -0.1, 2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 4) + -19 - 19 - (10 + -3) - -34.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/7 - (-126)\/49. Is 1*-3 + (p - -1) + 76 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {k: 1, v: 2, q: 1, m: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-4 - -1) + (136\/14)\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 15, 6*f - j - 21 = 2*f. Is f\/((-48)\/(-21782)) + 3\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -5. Let y = -23785 - -23785. Solve 16*m - w*m = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 747\/38, -0.11, -55, -3\/7 in decreasing order.\nAnswer: 747\/38, -0.11, -3\/7, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -73\/15 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 minus 462.24?\nAnswer: -460.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 18*w - 9*w. Let o = -9.8 - -4.8. Sort -0.1, 3\/2, w, o in descending order.\nAnswer: 3\/2, -0.1, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 609*v + 25*v**2 - 4 - 143*v**2 - 609*v as m*v**2 + j + n*v and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 18 + 7. Let a = -6 + 8. Suppose 3*m = -4*z + 16, -z + 0*z + 4 = a*m. Is q != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 25\/2. Let l = 1147\/3477 + 4\/1159. What is the closest to 1 in l, k, 0.04?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234859837 to the nearest integer?\nAnswer: 15325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5876 - 440 - 7793*w - 737 + 4559 with respect to w.\nAnswer: -7793","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40476371200 rounded to the nearest one million?\nAnswer: -40476000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 194*g**2 + 5*g + 12. Let n(w) = 678*w**2 + 18*w + 42. Let s(o) = -5*n(o) + 18*v(o). What is the derivative of s(u) wrt u?\nAnswer: 204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12333 - -12332.9999985668. What is u rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 3*m. Suppose 5*d = 2*x - 11, -12 = -3*x - 0*d + 3*d. Let c be j(x). Which is bigger: -5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -2083305252.\nAnswer: 2083305251.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16117537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.04 (c) 5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 243 = 3*o, -2*t - 171 = -2*o - t. Suppose -3*q = q - o. Let y = 74 - 33. What is the remainder when y is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avzsravrrva. What is prob of picking 1 s, 2 v, and 1 a?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 160 = -148 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200 (base 3) to base 12.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + u - 5)*(-u - 3*u + 3*u) + (-44 + 83*u**2 + 44)*(2 + 4 + 6).\nAnswer: 995*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*v**2 + 39*v + 1.\nAnswer: 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 13*z**2 - 13*z - 7. What is the least common multiple of 40 and x(-12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/128315 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7046 = -93*y + 9508. What is the remainder when 354 is divided by y?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52520 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**24\/p)\/p)\/(p\/p**27) assuming p is positive.\nAnswer: p**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248264393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/3*27\/(-18). What is the remainder when (-1839)\/(-12) - q\/40 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681 = -5*x - 3*f - 637, 0 = 5*x + f - 58. Solve -6*u = x*u + 22*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 0)*(-19 + 19 + 3*l)*(11 + 6 + 3) as b + u*l and give u.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 241*u**5\/60 - 3*u**2 + 222. Let f(w) = 4*w**2. What is f(i(p))?\nAnswer: 232324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:38 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -34*i + 1. Determine x(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -33, -57, -91, -135, -189, -253?\n\"Answer: -5*n**2 + n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*o = -2*o + 23, 4*o = -5*i + 30. Let q(c) = -46*c + c**i + 46*c. Let f be 6\/4*(-28)\/(-21). Give q(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -19 - 17. Let r(y) = y**2 + 2*y - 6. Let u be r(2). Solve -u*h - a = -6*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -523*w + 2096. Let q be z(4). Let j = 3 - 0. Solve -q*n = j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-4)*128\/(-48). Let g(p) = -p**2 - 5*p + 7. Let c be g(k). Sort -1, c, 3 in descending order.\nAnswer: 3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4739 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 118*v - 58*v - 44*v - 11. Let p be t(-4). Is p smaller than -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6)*(3 - 3)*-1. Solve g - 2 = l, -9*g - 14 = -4*n - 14*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 19 + 60 + 178 + 15*v.\nAnswer: 2*v + 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 167\/668*(-72)\/(-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {h: 1, s: 1, y: 1, n: 2, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-4*1 - -2). Let k(z) = -2*z**2 - 5*z + 4. Let d be k(a). Let m = d + 13. Solve -u - u = -m*i + 12, -2*u + i - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78198*i - 6 + 19 + 332768*i - 10.\nAnswer: 254570*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -41. Suppose -i = -6*i + a. Solve -2*m = -i*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1684*q. Let i(x) = -18*x**2. Give i(w(d)).\nAnswer: -51045408*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 49 in descending order.\nAnswer: 49, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 - -136. Let y = d + 7. Let n(x) = 35*x + 21. Let c(j) = -7*j - 4. Give y*n(s) + 21*c(s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -15*l + 66. Suppose l*q + 23 = 5*n, 0 = 2*n - 4*n + 5*q + 16. Sort n, 1\/7, 0.2, 7 in descending order.\nAnswer: 7, n, 0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4571 = b + 4*x, -5*b + x - 11023 = -33941. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -291 - -252. Find the common denominator of ((-62)\/22)\/((-104)\/j) and 83\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127981 or 0.57?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -29*s + 12. Let v(t) = 35*t - 12. Let i(p) = -5*v(p) - 6*w(p). Suppose 4 = j + 5*h, -4*j + 0 - 18 = 3*h. What is i(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129803603 times -4\nAnswer: 519214412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 + 8*w**2 - 6*w - 20. Let f be h(-4). Let -48*q + 5*q**3 - 62*q**3 + 12 + 103*q**2 + 0*q**5 - 28*q**2 - 3*q**5 + 21*q**f = 0. Calculate q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 66?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -43\/2 = -1\/23228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at most 352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/4*((-204)\/(-20) - 11). Sort 4\/3, 8\/7, -13, p in increasing order.\nAnswer: -13, p, 8\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2243587529.\nAnswer: 17, 7907, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 3 - 2*-5. Let x = 8 - n. Let o(g) = -2. Let s(f) = f. Calculate x*o(b) + s(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*s = 535*s - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*p - 150 = 457*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2456\/3)\/1*(-81)\/(-54). What is the highest common divisor of q and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*a - 1463 = 125*a - 199 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r*r**(-1\/6)*r)\/(r**(-2\/5)\/r*r)**(-50))**(-1\/47) assuming r is positive.\nAnswer: r**(103\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1417.99247 + 1418. What is h rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1593794990 + 15906074014711\/9980. Let u be -2*(-1)\/(-3) + 21824\/32934. Let w = u + i. What is the common denominator of -43\/2 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 14*d - 10. Let z be x(-12). Let t be z\/(-10) + 15\/25. What is the second smallest value in -2\/9, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chcfcchchochxhhv. Give prob of sequence hcho.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1648935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 481048 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqydyoqqydqdddqyq. Give prob of picking 1 y and 2 d.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/33 and ((-56)\/40)\/(1\/((-30)\/(-116))).\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.0621\nAnswer: 0.03105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1521 + 761*p**3 - 641 - 880.\nAnswer: 761*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 9*j**2 + 55*j + 69. Let u be k(-8). Let s = 2 + 1. Let d be (-2)\/(s*-2)*33. Calculate the highest common factor of u and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12 + 12 - 8*w**2 - w**3 - w**2 - 2*w. Suppose 2*h = 5*s - 28, h - s + 4 = -7. What is the tens digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6352, -6381, -6424, -6481, -6552?\n\"Answer: -7*p**2 - 8*p - 6337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-50)*15\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37606673961138.000029 + -37606699597951. Let z = -25636789 - q. Let w = z - 24. What is w rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s, -5*s + 2*s + 27 = -4*b. Let h be 14*-40 - (b - 0). Is (h\/(-2))\/((-4)\/32*-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -89*p + 2136. Let h be q(24). Let s(g) be the third derivative of -7\/36*g**4 - 1\/90*g**5 + 6*g**2 - 2\/3*g**3 + h*g + 0. Factor s(t).\nAnswer: -2*(t + 1)*(t + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/20 - -11\/60. Let n(r) be the first derivative of 0*r + 0*r**2 + j*r**3 - 6. Let z(i) = i**2. Determine n(z(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10048944871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -1, 106, 1, 2 in ascending order.\nAnswer: -1, 1, 2, 32, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39078 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose 2*d = 3*f - 1, m*f + 5 = -3*f + 5*d. Put f, -4, 0.2 in descending order.\nAnswer: f, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2336398469?\nAnswer: 2336398469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 44.7. What is the third biggest value in a, 1, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/11 and 32\/2525?\nAnswer: 27775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400 + 1671 - 438 - 4*s**2 - 415 - 25*s**2 - 418.\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(484) - sqrt(484))\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*v + 594*v - 1759*v + 587*v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91489 + -131489. Round k to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37929866 or -37929867?\nAnswer: -37929867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 995\/8. Let l be (2\/4)\/(2\/20). Suppose 0 + 5 = l*c. Put c, 0.2, m in increasing order.\nAnswer: 0.2, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*i**2 + 174*i**2 - 27*i**2 - 2548 + 492.\nAnswer: 314*i**2 - 2056","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 7*l**2 - 10*l - 4. Suppose 0 = 2*q - 2*f + 24, -2*f = q + 3*f - 12. Calculate the lowest common multiple of t(q) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.1903 + 16.190381611. What is x rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 4*r + 3*r - 2*r + 0*r + r + (0*r + 0*r - 2*r)*(3 + 4 - 5) + (185*r + 35*r - 8*r)*(3 - 2 + 1) - 44 - 18*r + 44)*(7 - 4 - 5*r + 4*r).\nAnswer: -399*r**2 + 1197*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423 and 45731?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18282, 1\/6, -0.2, 4, -1\/4, 0?\nAnswer: 18282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1434\/5 - 1436\/5. Let t = 7519\/76 - 397\/4. Which is bigger: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12723223 (base 8) to base 4\nAnswer: -22322122103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - k - 8 = h, -4*h + 2*k + 12 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/7 + 2*x**2 + 12*x\/7.\nAnswer: -2*x*(x - 3)*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 - 89*w + 567. What is v(0)?\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 7*q - 3*q + 492, 0 = -2*b + 3*q + 246. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.55 - -10. Let m = k + -0.45. What is the nearest to m in 0.5, 5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62177, 248667, 559501, 994679?\n\"Answer: 62172*n**2 - 26*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or 353?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9102, -7771, -6430, -5079, -3718, -2347, -966?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 108508 and 2.\nAnswer: 108510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 17. Let a be h(-8). Let d(x) = -9*x**3 + x**2 + 5*x + 4. Calculate the lowest common multiple of d(a) and 62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22083467 and 6909?\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-16) + (-870)\/(-2320)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 1. Let z(d) = -4*d + 2 - 11 + 6 + 0. Let c(y) = 3*m(y) + z(y). Let i(l) = 5*l + 3. Determine 3*c(a) + i(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 3*sqrt(7)).\nAnswer: 2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.3. Let z = -15 - -14.96. Put -2\/5, z, c in decreasing order.\nAnswer: z, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -3.4?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 10*x = -5*g - 10, 9 = -3*g - 2*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + (-9 - -4) + -6. Let r(k) = k**2 - 15*k + 1. Let q be r(15). Sort 2, m, 3, q.\nAnswer: m, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 129385 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i - 23. Let v be y(-8). Solve 3*r - 11*f = -13*f - 1, r - 4*f - v = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1170 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -12229.2?\nAnswer: -85604.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -0.29.\nAnswer: -4.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26301684 and 54.\nAnswer: 236715156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670.8301 days to minutes.\nAnswer: 965995.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -10. Let j be -6 + (0 - l - 0). Which is the second biggest value? (a) -3\/5 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 10\/268612179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-42) + -1 - 180\/315.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1959\/20 - 98. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 14*q + 21. Let b be l(-6). Let v be (-56)\/18 + (b - 6). Let w = 2357\/15 - 157. What is the fourth biggest value in 0.4, w, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33300 + -2?\nAnswer: 33232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8824006 = 5*l - 83819321. Let i = -2959063 + l. Round i to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/24 + 7*m**3\/6 + m**2. Let c(u) = -3*u - 1. Let z be c(3). Is s(z) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3.4617, -3, 1, 0.5, 5\/47?\nAnswer: 3.4617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299 - 25. Calculate the common denominator of 17\/14 and g*((-572)\/(-144) - 4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g + 115 = 0. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 233.4 + 38.6. Let c = -272.0001618 + g. What is c rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494 divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/11 + 35298*i**2\/11 + 182443134*i\/11 + 224417255774\/11.\nAnswer: 2*(i + 1783)*(i + 7933)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 13*s + 13. Let r be p(12). Which is the nearest to -5? (a) r (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14036098.\nAnswer: 2, 19, 37, 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 139*k**3 + 13*k**2 - 303*k - 2. Let l(q) = 69*q**3 + 6*q**2 - 151*q - 1. Let b(n) = 13*l(n) - 6*p(n). Find the second derivative of b(w) wrt w.\nAnswer: 378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - 2*q)*(-3*q + 0*q + q) + 2*q**2 - 70092 - q**2 + 69888.\nAnswer: 5*q**2 - 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.6. Let t = 1187 - 1178. Is t greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146 or 24749?\nAnswer: 24749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d4 - -6?\nAnswer: -1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*y**3 - 124317*y**2 - 6*y + 21007858?\nAnswer: -30*y**2 - 248634*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4\/9)*u*u**(6\/11))\/(u**6*(u*u*(u**(-1\/2)\/u)\/u*u*u)\/u) assuming u is positive.\nAnswer: u**(-695\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mngsngnglyglg. What is prob of sequence ylsm?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -26\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(50) + 4 + sqrt(2))*1 + -2.\nAnswer: 2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + n + 98, -4*j + 126 = n. Suppose 7*q = 11*q - j. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5)*(-2 + 32). Let x = -6 - i. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2 and (-738)\/80 + (-2)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by (-2 - 30\/(-12))*20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6, -h - 5*a + 3 = 5. Suppose -2*n = -h - 2. Let u = n + 6. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1981, -1980, -1979, -1978, -1977, -1976?\nAnswer: -1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-155) + (-8)\/20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 9:23 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000241369 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 32*a + 1907. Let s be q(-59). Let y(d) = 7*d - 129. Give y(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let m be 1 - (q + -1)\/3. Let f(a) = 0*a + m*a - a. What is f(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -759\/2 + 379. What is the third smallest value in 0.2, 3, -2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/757 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 20*n = 210 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o = 65. Let l be -7 + o - (5 + -1). Let a(b) = b**2 - 17*b + 45. Let t be a(14). Solve 0 = 3*c + 2*q + 4 + 6, 2*c - l = t*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/4149 - -4489\/141066. Sort d, -4, -25.\nAnswer: -25, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 1 + 4*z - 4*z + 0 + 2*z + 0 + (-1 + 1 - z)*(-3 + 5 + 2) + 5*z - 3*z - 3*z in the form p + v*z and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 + 24*b**2 + 0*b**2 - 3*b**2 + b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*n - 8244, -a - 3*a = -n - 16510. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8564 is divided by 238.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225828784?\nAnswer: 2, 3347, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14809, 14785, 14759, 14731, 14701, 14669?\n\"Answer: -t**2 - 21*t + 14831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 + 11 = 0. Let n = 2 - k. Let t be 4\/6 + 416\/n. What is t rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y**3 + 7*y**3 - 7*y**3 - 15*y**3.\nAnswer: -45*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -555 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus 2843042946?\nAnswer: 2843042939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o = 8*o + 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115\/186 - 2175\/1178. Let q = -2\/19 + h. Let o = -4 - -8. What is the third smallest value in o, q, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 7*a - 29. Suppose -62 = -5*t + 5*g + 8, 12 = t + g. What are the prime factors of r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 0*x**2 + 1\/720*x**6 + 2*x + 0 + 7\/12*x**4 + 0*x**3 - 7\/120*x**5. Let m(r) be the third derivative of v(r). Give m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -16*x**3 + x**2 - 4*x - 6. List the prime factors of j(-4).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4144, -5386, -6628, -7870, -9112, -10354?\nAnswer: -11596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**2 + 5*r - 9. Let s(g) = g**2 - g + 1. Determine 5*s(k) + v(k).\nAnswer: -k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 671?\nAnswer: -66a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 338 + -243. Calculate the least common multiple of l and 45.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-4 - (-108)\/20). Let g = -0.035 + 0.035. Sort r, g, -0.1 in increasing order.\nAnswer: r, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4309751 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-1)\/(-6))\/((-56)\/(-210))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 3*u)*(6 - 4 + 0) - 2*u + 0 + 0 - 6 + 26*u - 56*u + 27*u.\nAnswer: -u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = 16, -3*n = f - 3156. What is the greatest common factor of 1386 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4818 + -4814. Which is the nearest to -119? (a) 1 (b) t (c) 2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence add when three letters picked without replacement from {d: 5, a: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r + 15. Let g = -44 + 29. Let k be (-13)\/45 - 6\/g. Put k, -1\/4, r in increasing order.\nAnswer: r, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 162\/15*5*(-60)\/(-270)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -338 + 781. Let v = h + -383. What is the smallest common multiple of v and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/9)\/(-5)*(-3)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25309400 rounded to the nearest one hundred thousand?\nAnswer: 25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(15*(-33)\/(-55)). Which is the third smallest value? (a) 4 (b) z (c) -0.1 (d) -2 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**3 - 4 - 4*d**2 + 2*d**4 + 273876*d - 273875*d - 1 in the form n*d**3 + b*d**2 + c*d + o*d**4 + i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-22904)\/2863 + (3\/(-17))\/(2\/(-92))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z + 78 - 78)*(6*z - 9*z - z) as k*z**2 + p*z + n and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -3*m - 5073. Let l be (-2)\/(-12) + m*4\/(-72). What is the highest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 16*r - 55. What are the prime factors of k(17)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 661 and 2644?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*r**2 + 11*r**4 + 223*r**2 - 449*r**2 + 4*r**3 + r**4 - 1 - r to y*r**2 + a*r + t*r**4 + w*r**3 + u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 558339 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4042 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*3\/30*6. Let u(t) = 0*t - 2 - c*t + 5*t + 4. Give u(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most as big as 9\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 2, r: 1, k: 1, h: 5}. Give prob of sequence qg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from {q: 1, c: 4, o: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:27 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 5500563.\nAnswer: 17\/5500563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1920*u - 334*u - 4441 + 4441.\nAnswer: -2254*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*c - c**4 + c**2 - c**2 + 3*c**3 - 9 + 131*c to the form h*c**3 + m*c + d*c**4 + b + t*c**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h - 3. Let v(j) = -j**2 - j - 5. Let r be v(0). Does 7 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 20*d**2 + 8*d + 6. Let y(h) = -41*h**2 - 17*h - 13. What is 13*x(k) + 6*y(k)?\nAnswer: 14*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(1 + 45\/25).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5682162 micrometers in millimeters?\nAnswer: 0.0005682162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 11*c**2 - 6*c + 63. Give r(10).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -975*f**5*k + 2*f**5 - f**3 - 64*f*k + 21*k wrt f?\nAnswer: -19500*f**3*k + 40*f**3 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/60 and (28\/(-156))\/((-87)\/609).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from {g: 7, a: 3, e: 3, f: 5, i: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -2)\/(-4 - -2). Suppose -v - 2 - 2 = g. Let t be 169 + (v - -3 - -2). Calculate the highest common factor of t and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2207542236 + -48.77\nAnswer: -2207542284.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.105.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = -4*r - 99. Let l = 112 + r. Solve -5*n = -l*c - 8 + 23, 0 = -5*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 25 = -4*s. Suppose -5*t = -25 - s. Suppose -d + 10 = -4*v - 4, d + t = -4*v. Solve m - d*m = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 193, 304, 431, 580, 757, 968, 1219?\nAnswer: 1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2781100 and 1950?\nAnswer: 108462900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5 + 3*c**4 + 68030*c**3 - c**2 - 2715995 wrt c?\nAnswer: -180*c**2 + 72*c + 408180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 132*r**2 - 25. Let w(z) = -2*z. Determine p(w(h)).\nAnswer: 528*h**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*p - k + 8, -4*p + 156 = 4*k. Calculate the lowest common multiple of 10 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023447451399 rounded to 7 decimal places?\nAnswer: -0.0023447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36769, 73533, 110295, 147055, 183813, 220569?\nAnswer: 257323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 9 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1067*p + 27. Let t(y) = 2136*y - 53. Let k(s) = 9*l(s) + 4*t(s). Let w(x) = x**3 - 6*x**2 + 3*x + 6. Let h be w(5). Is k(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 436366703 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 44 + 32 = 0. Suppose 22*y + g = 148. Put -17, y, 0 in increasing order.\nAnswer: -17, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**0))\/(i**(-4)\/i)*(i\/((i\/i**0)\/i))\/i**(-1\/2) assuming i is positive.\nAnswer: i**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 4814\/2 + 13. What is the highest common divisor of v and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.123, 18525, 2\/7, 3\/4?\nAnswer: 18525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wtwxtttxxxxxwwt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6278691 is divided by 294.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-3) - -1) + (-67 - -68). Determine w, given that -4\/3*w + l*w**2 + 2\/3*w**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -4, 1.\nAnswer: -8, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-6)\/87 + -1). Suppose 3*b - 8 + 26 = 0. Let w be (-8)\/(-16) + (b\/(-4) - 1). Does h = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2 - 737354*u - 1474720 = 0.\nAnswer: -2, 737360\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 6. Let q be m(0). Suppose -q*t + 2*t = -8. Let h be -184*25*(-10)\/t. Round h to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 3}. What is prob of picking 1 f and 2 g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -326.00548 - -326. What is f rounded to 4 decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 - u - 1. Let c be 3 + (-2)\/(4*3\/(-60)). Suppose c*p = 256 - 269. What is f(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3\/3 - 2*d**2 + 44*d\/3 + 16 = 0.\nAnswer: -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -16. Let n = 11 + x. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/9 and (102\/(-99))\/(4\/12)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 41*j - 525. Let v be a(13). Let k(f) be the second derivative of -1\/120*f**6 + v*f - 1\/20*f**5 - 1\/6*f**3 - 1\/8*f**4 - 1\/8*f**2 + 0. Solve k(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:21 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(160) + sqrt(160))\/sqrt(8))\/(sqrt(90)\/sqrt(36)) - (-5 + sqrt(98)*2 + -1)**2.\nAnswer: -428 + 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 2. Let m(j) = 8*j + 9. Let o(z) = 2*m(z) - 9*v(z). Let u(n) = -26*n**2. Determine o(u(f)).\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {x: 1, a: 1, m: 3, o: 4, u: 4, b: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -30?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -41, -56, -77?\n\"Answer: -3*y**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -4*f + 44, 5*f = -2*j + 8*f - 7. Solve -j*w + 3*k + 18 = 3, 2*k = 3*w - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 1. Suppose 2*u - 119 = -4*d + 51, 5*u = -2*d + 425. Let v be u\/15 + (-2)\/3. Let h = -2 + v. What is y(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*u + 630. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, i: 3, n: 1, a: 2, e: 10}. What is prob of picking 1 m, 1 a, and 1 e?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 + 5548*v**4 - 1816348*v**3 - 75989516*v**2 + 341526464*v + 415694080 = 0. Calculate v.\nAnswer: -41, -1, 5, 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 21 = 2*q, -3*z + 5*q + 0*q + 30 = 0. Suppose 0 = -z*v + 6 + 44. Let y be (-12)\/(-20) + 34\/v. Solve 16 = h + 4*o, h - 8 = -2*h - y*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4789455789.\nAnswer: 3, 1596485263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/1*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1901, 2171, 2441, 2711?\n\"Answer: 270*g + 1631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 5, h: 8}. Give prob of sequence dkdd.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (372\/(-84) + 5)*(-660)\/(-88)?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose -2*l = x*l - 24. Let g be -3 - (-2 - (-2 + l)). Solve -8*h + 25 = -g*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0*o**5 - 1\/2*o**4 + 0*o - 1\/24*o**6 + 0*o**3 + 0 + 2*o**2. Find the second derivative of n(f) wrt f.\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 599870007 or 599870008?\nAnswer: 599870008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 51*y**2 - 109*y - 22. Let g be d(-2). Which is the closest to 3\/14? (a) -5 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-52)\/12 - 0)\/(3 + -6 + 4). Which is the biggest value? (a) p (b) -1.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29322 is divided by 367?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/107 (b) -0.5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20367 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 (h*h**1*h)**(-20)\/(h\/(h*h**(-2\/13))*h**(-5)) assuming h is positive.\nAnswer: h**(-717\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -761, -3, 1 in ascending order.\nAnswer: -761, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a + 6. Find the second derivative of -h**4 + 3*h - 4*h**a + h + 4*h**4 wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*k + 29, -4*k + 4 = n + 3. Which is the third smallest value? (a) 0.1 (b) 2\/3 (c) k (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 56129846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 862560720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.0763 - -0.0763. Is u bigger than 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 2*d**2 - 3*d**2 + 5*d**2 in the form p*d + q*d**2 + a + i*d**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3611541.\nAnswer: 3, 331, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + (6 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**3 - b**2 + 7*b - 24. Let t(a) = -4*a**3 + 2*a**2 - 5*a + 24. Let r(l) = 5*d(l) + 6*t(l). Let j = 46 - 51. What are the prime factors of r(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.07 and -4.\nAnswer: 48.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 567, 4, 1.3, -2?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 5762952?\nAnswer: -2305180.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -5488686 and -5488687 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*u + 24, -15 - 10 = 5*u. Put -2, -0.2, j, 0.2 in descending order.\nAnswer: j, 0.2, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, -197 in descending order.\nAnswer: 18, 4, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -632?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b39 + -6?\nAnswer: -b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 10*b**3 - 5*b - 3*b**3 - 3*b + 2 + 10*b + b**3 in the form o*b + d + g*b**2 + c*b**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2242124.\nAnswer: 2, 560531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -126, -73, -10, 57, 122, 179?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2539060*w**3 + 6486428*w - 2 wrt w?\nAnswer: -15234360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 13 = 3*u, 88 = -2*u - 4*g + 74 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.269130382 to three decimal places.\nAnswer: 4.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (1 + 1 - 3 - -21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -1\/169, -2\/7, -0.7, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1648*a**3 + 2*a**2 + 443*a - 2 wrt a.\nAnswer: -9888*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w = 40*w + b + 4*b + 73, -3*b + 5*b + 60 = 17*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/13 - 119154*q**3\/13 + 238300*q**2\/13.\nAnswer: 2*q**2*(q - 59575)*(q - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 + 24*d**4 + 70*d**3 - 24*d**2 - 72*d.\nAnswer: 2*d*(d - 1)*(d + 1)*(d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = o - 4*o - 5*m, 0 = -o - 5*m + 67. Let l = o - 830\/9. Which is smaller: 2\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-1)\/(4\/270)). Let s be (4\/10)\/(216\/11602). Let f = j + s. What is the common denominator of -119\/6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(0 + 2 + -4*(sqrt(320) - 1*sqrt(320)) + sqrt(320)))**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/551, 5, 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**5\/120 - c**4\/12 - 2*c**3\/3 + 3*c. Let v(g) be the second derivative of a(g). What is v(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, c: 3, q: 6}. What is prob of sequence coo?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-91))\/(3*-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 - 114. Let w = 2396\/153 + -142\/9. What is the closest to -23 in r, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b - 39. Let j(r) = 5*r - 31. Let x(m) = 5*j(m) - 4*t(m). Suppose 2*y + 0*i - 5*i + 1 = 0, -y = -3*i. Determine x(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 7*d**2 + 4*d - 7. Let q be l(-6). Let v = q + -15. Let y = v - -14. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110111110110001 (base 2) to base 11.\nAnswer: 268a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36930.\nAnswer: 2, 3, 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*o**4 - 9*o**4 + 7 + 26*o**4 wrt o.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 4*v - 3*v. Let t = 733\/7 + v. Let o(a) = 4*a**2 + 24*a + 1. Let x be o(-6). Which is bigger: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-12))\/(-7)*(-16)\/(-72).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3))**(2\/61)\/((n\/n**3)\/n)**40 assuming n is positive.\nAnswer: n**(7314\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*p - 5, j - 3*p + 0*p + 7 = 0. Suppose 3 = a, 3*u - 5 = j*a - 8. Solve -o = -5*k + o, -u*o = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*v**2 + 69*v + 2 + 25*v**2 - 1203*v + 21*v**2 + 27*v**2 as m + a*v + u*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -196.46, 1.\nAnswer: -196.46, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19502409 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, 0.12, -1\/6, -1, -2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3)*w)**(-1\/3))**(-7\/6))**30 assuming w is positive.\nAnswer: w**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 979296019 and 21099.\nAnswer: 7033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 + 51.6. Let r = l + -45. Let o = 0.13 + -5.13. What is the closest to 1 in -1\/5, r, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -4, -10\/7, -2, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, r: 3}. Give prob of picking 1 r and 1 w.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -34*o**2 + 7353*o + 94. Give s(216).\nAnswer: 2038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.46 from -425827958772.\nAnswer: -425827958771.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028841576 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 213*w**2 + 11*w + 11. Let r(f) = -f**2 + 22*f - 97. Calculate the remainder when i(-1) is divided by r(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49.04 + -48.74. Let b = 4 + -6. What is the closest to -1\/4 in b, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 5, 7\/9, -2\/13, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -582 less than 0.11?\nAnswer: 582.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -14 + 16 - 9 + v. Calculate m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1499880 by -17240.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9596 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + q + 63. Let c be j(0). Let i be (-344)\/(-315) + 14\/c. Let p = 1748\/105 - i. Find the common denominator of 51\/2 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7794926 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5 - 90*i**4 + 568*i**3 - 1408*i**2 + 1536*i - 608 = 0.\nAnswer: 1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 98*x**2 - 97*x + 3. List the prime factors of d(-12).\nAnswer: 3, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**4)**22\/(z**1)**(-11\/7) assuming z is positive.\nAnswer: z**(781\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 53.42. Let y = 0.039 + -29.239. Let h = 28.8 + y. Sort f, -4, h in decreasing order.\nAnswer: h, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2, l - 3*i = 4*l - 231. Let -l + 33 + 36 + m + m**2 = 0. What is m?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1. Let k(l) = 19723*l - 4. Let w(b) = -k(b) - 6*t(b). Is w(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + 0*s**2 - 2*s**3 + 4*s**3 - s**3 - 2*s**2 + 2*s**2 + (-5*s**2 - s**2 + 4*s**2)*(-5 + 4*s + 5).\nAnswer: -7*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240350 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*i = -324*i + 176*i - 120 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 496 + -496.0781. Let x = z - -380.0781. Let b = x + -353.1. Round b to zero dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37100000 rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*((-12)\/(-5))\/6. Suppose 0 = 2*f + o*p - 36, -2*f - 8 = p - 42. Calculate the least common multiple of 22 and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) - sqrt(8)))**2 + (sqrt(192)\/sqrt(6))**2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/32)*j)**(2\/23)*(j**7)**36)**(-6\/37) assuming j is positive.\nAnswer: j**(-278307\/6808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000001 - -100111110110010100000?\nAnswer: 100111110101011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 16159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -4, 5, 1, -7, -540 in descending order.\nAnswer: 5, 1, -2, -4, -7, -10, -540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 7. Let r be n(5). Let j = -1138 - -1147. Sort -1, j, -1\/7, r.\nAnswer: r, -1, -1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 14497*w**4\/12 - 3265*w**3\/6 - 6823*w. What is the second derivative of c(b) wrt b?\nAnswer: 28994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*g - 11. Let u(k) = -1 - 3 + 6*k**2 + 3 - 6*k**3 + 2. Let a(p) = -p**3 + p**2 - p + 1. Let l(j) = 5*a(j) - u(j). What is l(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3\/8 + 25479*s**2\/8 + 95425647*s\/8 - 926863728343\/8 = 0.\nAnswer: -14843, 4207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6*v + 6 = -7*v, 2*h + 10*v + 158 = 3*h + 11*v + 162 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886312733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + 10*q)*(1 - 4*q + 2*q**2 + 2*q - q**2).\nAnswer: 12*q**3 - 24*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 0, -10259 in ascending order.\nAnswer: -10259, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -447, -1007, -1801, -2835, -4115, -5647, -7437?\nAnswer: -9491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21915650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -22770674 rounded to the nearest 10000?\nAnswer: -22770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1538)\/769 - (628\/16 - -4 - 2\/8)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 273\/312*12\/3. Let i(o) be the first derivative of -7*o - 9 + j*o**2. Let d(r) = -6*r + 6. Calculate -5*d(g) - 4*i(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02835 rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.58839 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/3 - 131*r**3\/3 - 1316*r**2 + 22576*r\/3 - 18496\/3.\nAnswer: -(r - 4)*(r - 1)*(r + 68)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 8*v**2 + 6*v - 8. Let u be g(-11). Suppose -s + u + 426 = 0. Suppose 2*n + 17285 = -s. What is n rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9657 and 181485.\nAnswer: 5263065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*g + 8, -3*m - 4*g + 2*g + 7 = 0. Let z(s) = 4 - s**2 + 2*s**2 - s**3 + 5*s - 3*s**2. Let v be z(-3). Put v, 2, m in descending order.\nAnswer: m, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11547616.1 and 2?\nAnswer: 23095232.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*t**5\/2 - 170*t**4 + 1535*t**3\/2 + 6830*t**2 - 9570*t + 2160 = 0. What is t?\nAnswer: -9, -8, 2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 + -3.7000003004. Round n to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 4080?\nAnswer: 53040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 13905?\nAnswer: 13905.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 34. Let k be d(6). Suppose k*a + 60 = 12*a. Suppose 105 = a*t - 21. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + -65?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6049 - 6047. Let 5\/4*w**3 - 3\/2*w**2 - 1\/4*w**4 - w + l = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (4 - 3) - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 h when four letters picked without replacement from {h: 7, y: 9}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5238234*k*s**5 + 275*k*s**2 - 3*k - 125*s wrt s?\nAnswer: 314294040*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 153*m - 879. Let a be i(6). Solve 0 = -w - 2*s - 7, -a*w = -0*w - s - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 34919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 27*w - 345. What is p(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 3)\/(2\/8). Suppose g + 0 - a = 0. Let o be 0 - g\/(-2) - 0. Solve 2*z = o*i - 5*i - 19, 0 = 5*z + 3*i + 34 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)**(-32)\/(s\/((s*s\/s**(-1))\/s*s*s))**(-3\/20))\/(s*(s\/(s*(s**(-4)\/s)\/s))\/s*s**(-1\/4))**(-1\/19) assuming s is positive.\nAnswer: s**(-14\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**6\/360 - q**5\/60 + q**4\/24 - q**3\/18 + 17*q**2. Factor r(y).\nAnswer: (y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/19, -2, -0.1, 11, -4, -2\/16647?\nAnswer: -2\/16647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018760691 rounded to 7 decimal places?\nAnswer: 0.0001876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 8. Let w be j(-8). Let f be 5\/(0 - (w - -1)). Let r = 8 - 5. Put -3, r, f in decreasing order.\nAnswer: r, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000165 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2417311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046555699?\nAnswer: 7, 149507957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5. Let y(b) = -b + 1. What is v(s) - 2*y(s)?\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.09 (b) -10 (c) 931 (d) 2\/3 (e) 3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*b + 89 = -4*r, 5*b + 101 = -2*r. Let j be (57\/r)\/(2\/(-8)). Solve -m = -j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*i - 21, -7*w = -2*w + 5*i + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2593657 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52766 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + 1 - (-3392)\/(-288). Which is the third biggest value? (a) i (b) -2 (c) 142 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16875 is divided by 676.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (6 - 3 - -1) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {z: 1, n: 1, j: 1, h: 1, e: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2. Let m(f) be the second derivative of 1\/3*f**3 + 0 + 0*f**2 - 4*f. Determine m(o(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 321 + 235. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-187) - 9\/77.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 3*q**2 + 3*q - 9. Calculate b(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(16\/(-4)) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5968612 meters to centimeters.\nAnswer: 59.68612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3588 rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116737*a**5 - 60777*a**5 - 60685*a**5 + (-a**4 + 3*a**4 - 4*a**4)*(-2*a + a + 3*a) + 4*a**5 + 3*a**5 - 5*a**5.\nAnswer: -4727*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 16 + 8 = 0. Suppose t = n + 36. Let a(s) = -s**3 - 7*s**2 - 4*s. Let j be a(-7). What is the highest common factor of j and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1ec5?\nAnswer: -1ec0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 755*b**2 - 1321*b + 97*b**2 + 661*b + 662*b in the form g + u*b + t*b**2 and give t.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1340\/16 - (-2)\/8. Let o = 87 - g. Suppose -117*b - b**2 + 120*b + o*b**3 + 0*b**3 + 7*b**2 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62960*g**6 + 160979*g**2?\nAnswer: 7555200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8858 + 35205 = -1571*l - 54402 - 943 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5750 - -8131. Suppose -42*k + 7993 = -z. What is the highest common factor of k and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 86, -10, 2\/15, 0.26, 0.5 in increasing order.\nAnswer: -10, 2\/15, 1\/5, 0.26, 0.5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/(-10) + (-2)\/4. Let f(y) = -2*y - b + 3 + y**2 + 68*y**3 + y**2. Is f(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 8:39 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90234.\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 82 = 46 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 18*r**2 + 15*r - 26. Let l be t(18). Suppose -l - 212 = -8*v. Calculate the highest common factor of v and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 1\/3*f**3 + 1\/20*f**5 + 0*f**2 + 0 + 0*f**4 - f. What is the second derivative of h(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378931 (base 13) in base 8?\nAnswer: 5053317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 - 420*n**4 + 2226*n**3 + 44600*n**2 + 139872*n + 97920 = 0 for n.\nAnswer: -4, -1, 15, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 20 = -q. Let b = -20 + q. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*t + 3*t**3 - 3*t**3 + t**2 + t**3.\nAnswer: t**3 + t**2 - 381*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Factor -m*o**2 + 3*o**2 - 3*o + 6*o**2 - 3*o**2.\nAnswer: 3*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123.1 - 123.4. Which is the smallest value? (a) o (b) 196 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 3*s + 3. Let y = 4 - -51. Let o(w) = y*w - 4 - 34*w - 2*w**2 - 25*w. Calculate -3*o(p) - 4*z(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 19 = 26 - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - (-14)\/(-10). Calculate the lowest common multiple of g\/(-3) - 145\/(-15) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 2778018202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - ((0 + sqrt(176) - sqrt(176))*5 - sqrt(176))) + sqrt(176).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 56 = -o - 3*r, 5*o = 2*r + 280. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 6*w**2 - 19 + 101*w**2.\nAnswer: 107*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.2339 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1944878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35734117 and 1004?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2636 - -0.1636. Sort 2\/63, n, -4 in decreasing order.\nAnswer: 2\/63, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = 9*u - 525. Solve u - 32 = 7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*h + 2108251 = -9037083. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*n + 90 = 3*n, -5*n = -x - 30. Let r = x - -53. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from ncbbnnpbncpnnnnncn.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*d + 32*d - 15. Suppose 4*o - 3*f = 7895, 2*o - 5914 = -o - d*f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - v. Let q = -273 - -277. Suppose -q*r + 5*b - 2*b = -102, -64 = -3*r - 4*b. Calculate the remainder when r is divided by z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21552 is divided by 12280.\nAnswer: 9272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48.6 + -43. Let g = 13 - 19. Let f = g + c. Sort 1\/8, f, -2.\nAnswer: -2, f, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 4) to base 12\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -616825.1.\nAnswer: -616822.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.198 (b) -4 (c) -5 (d) 3\/8 (e) -9 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 2:09 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (109296\/3795)\/(6\/(-40)). Sort y, -1, 3 in decreasing order.\nAnswer: 3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -a - 4, 5*a + 52*b - 12 = 56*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 3*g - 173. Suppose 3*o = -m + g, m + m = -5*o + 246. Suppose -3*p + 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: In base 6, what is -32513 - 140?\nAnswer: -33053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534768 divided by -12.\nAnswer: -44564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**3 - w**2 + 1. Let q(c) = -2 - c**2 + 11 - 2*c - 4*c. Let v be q(-7). Suppose s - 3 = -v. Determine a(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1061, 4207, 9437, 16751, 26149?\n\"Answer: 1042*r**2 + 20*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*b = -76 + 251 + 143 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267197 is divided by 38170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h**5*h*h))\/h)\/(h\/(h**(-1\/4)\/h)))\/(h**3\/h**(1\/2)) assuming h is positive.\nAnswer: h**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211\/(-8) - (-116 - -87).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 327 + -246. Suppose f = 3*f + 154. Let a = n + f. Sort 1, a, 16 in increasing order.\nAnswer: 1, a, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -792 - -792. Which is bigger: -1\/362 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (13 - 17) - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-7)\/((-420)\/(-192)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33034 and 680978?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*(20168\/688233)\/((-2)\/(-13))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 5390220?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-99) - 46807\/1035. Let o = 226\/5 + g. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267916853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.13 plus -0.6951886825?\nAnswer: -56.8251886825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -38. Let s(u) = 7 - 3*u**2 - 5*u + 10*u**3 + 3*u + u. Is s(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165 - 235*j - 165.\nAnswer: -235*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8905*z**2 - 2014*z**3 + 2012*z**3 - 8905*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 537, 1061, 1585, 2109, 2633, 3157?\n\"Answer: 524*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 0*f**2 + f + 1\/2*f**3 - 3 + 1\/6*f**4. Let v(q) be the first derivative of b(q). Find the second derivative of v(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 0.1, 7, -1, 42\/13, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) - ((sqrt(200) + -1)**2 - sqrt(200)) - (sqrt(4)\/sqrt(2) + 0).\nAnswer: -201 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 77. Let x be (3\/2 - 2)*-232. Let j = x - c. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -2*l**7\/3 - 5*l**3\/3 - 20*l. What is the second derivative of r(n) wrt n?\nAnswer: -560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 57?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 4*a - 12)*(0 - 1 + 0)*(-a**2 + 0*a**2 + 3*a**2 + (2*a - 3*a + 3*a)*(-a - 2*a + 4*a)).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 - 4*v - 2. Let q(n) = 1152*n**3 + 3*n**2 + 12*n - 1731. Let y(o) = -3*m(o) - q(o). Differentiate y(t) with respect to t.\nAnswer: -3447*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 10) to base 16\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 251 in 2\/39, -4\/27, -2, -3\/5?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*d - 222*d = -127*d - 8649 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 5:51 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30360 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23444 - -241010?\nAnswer: 213122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-6)\/9 - 3. Let g be 5*q\/(-4)*-4. Solve 4*m - 40 = -g*o, 7*o + 6 = 6*o + 2*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 381442*y**2. Let p(v) = 4*v - 17. What is p(t(o))?\nAnswer: 1525768*o**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 73 - 27. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeapeeuaupiaeaee. Give prob of picking 3 a and 1 p.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 852\/(-80)*15\/18 and 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -1626125, 1, -4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 22*p**2 - 34*p + 2. What is the lowest common multiple of 6 and u(-22)?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 47097 - 26980 = 4*t, -2*t = -2*j + 29628. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -46*y + 69*y - 9 + 160*y - 190 - 12. What is the units digit of c(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a hour in minutes?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:09 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/27)\/(-1))\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/80)\/(1\/(-80)). Find the second derivative of h - 47*g + 16 - 46 - 11*g**2 wrt g.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22532*x + 44998*x - 22663*x.\nAnswer: -197*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8627\/7 >= 1233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -312 + 0 - 178 + 6 - p + 50 in the form u*p + w and give w.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 209*a + 208. Let q be c(1). Sort -1, q, -637, -2, 2 in decreasing order.\nAnswer: 2, q, -1, -2, -637","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 14*o**2 + 2*o - 1. What is d(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 - -60743880?\nAnswer: 60743706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -6\/7*y**2 + 10 + 1\/21*y**3 + 36\/7*y. Let a(u) = 0. Calculate u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 16. Find the common denominator of (7\/12)\/(g\/(-16)) and -3\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, l: 5}. Give prob of sequence llc.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170 + 176. Calculate the smallest common multiple of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5136122, -5136097, -5136072, -5136047, -5136022, -5135997?\n\"Answer: 25*y - 5136147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5597.256ml to litres.\nAnswer: 5.597256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/207 and -6\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 994*i**2 - 4*i + 8. Let z(w) = 992*w**2 - 5*w + 10. Let a(p) = 4*y(p) - 3*z(p). What are the prime factors of a(1)?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60984 and 26376?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j + 239. Let w = 50 - 50. Let z be k(w). Let h = z - 122. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.7 (b) 0.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {p: 6, m: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 9*h**2 - h + 12. Let u be y(9). Let b(j) = 2 - 1 + u*j - 2*j. Let o be 190\/35 - 3\/7. Calculate b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 27*s - 1488. Calculate the remainder when f(61) is divided by 85.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4433 - -707?\nAnswer: 5241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-31)\/7 - 6\/(-14). Let t be (h - -1) + 252000045\/15. Suppose -5*s + 0*s = 0, -x + t = -5*s. Round x to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + t - 8, 9 - 1 = -2*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b + 13*b - 8*b - 45*b**2 + 16*b**2 + 5*b**3 to p*b**3 + q*b**2 + w*b + y and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 - -3020. List the prime factors of f.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzznkqzzzz. What is prob of sequence kkz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68344674 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 17*h - 25 = 0. Solve -5*g = -h*w, -2*w - 1 + 3 = -g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 + -203. Suppose 3*u + j + 13 - 4 = 0, -d*j = 15. Sort u, 6, -1 in decreasing order.\nAnswer: 6, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478007279?\nAnswer: 67, 7134437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i - 10*i**3 + 24*i**3 - 39*i + 2*i + 6*i + 11*i.\nAnswer: 14*i**3 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(4\/3))\/u)\/(((u**(-9\/5)*u)\/u)\/u*u))**(-22\/7)\/((u*u*u\/(u*u**1)*u*u*u)**6\/(((u\/(u*u**(2\/3)))\/u)\/u*u**(-4)*u*u)) assuming u is positive.\nAnswer: u**(-1348\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 48 = 16*b. List the prime factors of 2\/4 - 308\/b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*c**5\/5 - 29*c**4\/2 + 5*c**3\/2 + 27*c**2\/2 - 79*c\/10 + 1 = 0. Calculate c.\nAnswer: -1, 5\/27, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -866, -975, -1172, -1451, -1806, -2231, -2720?\n\"Answer: k**3 - 50*k**2 + 34*k - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + -1.4. Let m = 6 - 11.5. Let d = o + m. Put -0.2, 0, d in ascending order.\nAnswer: d, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 3:57 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + s - s)*(0 + 0 - 1) - 6*s + s + 3*s - 13981*s + 7203 - 7203 + 1553*s - 9058*s to g + u*s and give u.\nAnswer: -21489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.79 - -0.01. Let r = 0.2 + l. Which is the closest to -0.1? (a) -0.5 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -49*r + 640. Let q be z(13). Factor -2*y + 1\/2 + 1\/2*y**4 + q*y**2 - 2*y**3.\nAnswer: (y - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d + 28*d + 5*d + 72*d in the form x + v*d and give v.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8391 - -13?\nAnswer: -8378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1 + 18*w + 22*w - 4*w + 18*w. Is z(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410000203 - 1?\nAnswer: -410000204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 14, -0.5, 1\/9, 2, -0.3.\nAnswer: -0.5, -0.3, -0.11, 1\/9, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 537718679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 586\/293*(-391)\/34?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/3 + 32*y\/3 + 91 = 0. Calculate y.\nAnswer: -7, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z + 6*z + z + 2*z**2 wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 1\/24*i**4 - 1\/6*i**3 - 3 + 0*i - 6*i**2. Determine n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 487 - 483. Let k(j) = 5*j**3 - j**2 - 6*j - 4. Let w(o) = 4*o**3 - 6*o - 4. Let h(z) = v*w(z) - 3*k(z). Calculate h(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83843730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 69*j + 18 = 64*j, 2*k + 5*j + 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a factor of 3159598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 5*h + 2. Suppose x + 4 - 6 = 0. Suppose 5 = -j + x*m - 0*m, -m + 10 = j. Determine i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 32*v**2 - 124*v + 2996. Give m(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:51 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Let p(b) = 306*b + 4473. Give p(g(i)).\nAnswer: -306*i + 4473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d**2 - 16. Let j(v) = 39*v**2 - 31. Let i(s) = -3*j(s) + 5*y(s). Differentiate i(h) wrt h.\nAnswer: -44*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4191540306.\nAnswer: 2, 3, 12809, 54539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5. Let v be 12*w\/(-7) - 20\/(-70). Solve 0 = -6*g + v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbulubfbu. Give prob of picking 1 h and 2 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 873139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51 and 14.18.\nAnswer: 65.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-2 + (-2 + 11 - 4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*s + 27, 0*s = 4*r - 2*s + 36. Let b be -3*(303\/r - -1). Suppose -b = -2*z - 0*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45780 and 14820?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 c, and 1 m when four letters picked without replacement from {c: 4, y: 8, k: 2, m: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 650 = 2*l. Let f = l - 124. Find the common denominator of 2\/13 + f\/(-208) and -111\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-8)*5*48\/30. Suppose -32*u + 28*u = -5*h + 3306, 1327 = 2*h + d*u. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 129.83535.\nAnswer: 64.917675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80\/11 - 82\/11. Let n be 45\/30 + 97\/(-30). Let u = -7\/3 - n. Which is the third smallest value? (a) u (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236281?\nAnswer: 277, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 22*v - 250. Give d(50).\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 307 = 5*x, -2*x - 3*z = -5*z - 120. What is the highest common divisor of x and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2633, 2, -935, 1, -2 in decreasing order.\nAnswer: 2633, 2, 1, -2, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9)*(-90)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-1*(5 - (-84)\/(-18)))\/((-161)\/42))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 84. Let f = 31 + j. Which is the second smallest value? (a) -2\/7 (b) f (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83317137 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and -519305.\nAnswer: -571235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(12 - 12 - 3*h) + (2*h + 5*h - 6*h)*(1 - 1 + 1).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -74*v**2 + 7*v + 9. Let c(x) = 73*x**2 - 6*x - 8. Let l(q) = 7*c(q) + 6*z(q). Differentiate l(t) with respect to t.\nAnswer: 134*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-141)\/(-18) + -6). Factor -u + 12\/11*b - 2\/11*b**2.\nAnswer: -2*(b - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g + 2*g. Suppose -34*y + 23*y = -44. Solve 3*f - 3 = 4*b - 6, y*f + 8 = g*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 1. Let b(y) = -2*y - 20. Calculate 3*a(c) + b(c).\nAnswer: c - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.01 (b) -5 (c) 27\/4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 4*s**2 + 7*s**2 + (-s + 3*s - s)*(-s - s + 0*s) + (-11 + 11 + 21*s)*(2*s + s - 4*s) as j*s**2 + u*s + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63594, -63597, -63600?\n\"Answer: -3*q - 63591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16967100 and 3075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -102, 51, 202, 351, 498?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i. Let c(j) be the third derivative of 0*j**4 + 0*j - 1\/20*j**5 - 3*j**2 + 0 + 0*j**3. Determine r(c(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104 and -0.2.\nAnswer: 103.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 + 2 = 0. Suppose -m*d - y + 9 = -10, -11 = -d - 2*y. Factor 0 + 2\/3*h**d + 4\/9*h + 10\/9*h**2.\nAnswer: 2*h*(h + 1)*(3*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 greater than -181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 8, 4, 0.\nAnswer: -1, 0, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/10*(-19926)\/(-369)*5\/27?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**8\/20160 - w**7\/720 + w**6\/360 + w**5\/60 + w**2. Let y(o) be the third derivative of k(o). List the prime factors of y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(288)*-1 - (1*(sqrt(4)\/sqrt(2) - sqrt(2)) + sqrt(2) + sqrt(12)\/sqrt(96)))**2.\nAnswer: 159*sqrt(2)\/2 + 2881\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 16 = -4*x, -t = 3*t - 3*x + 12. Suppose 0 = -3*o - l - 0*l + 1229, t = 3*o - 5*l - 1199. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -16*y + 12. Let p(z) be the first derivative of -1\/24*z**6 - 3\/16*z**4 + 0*z + 1\/12*z**3 - y + 0*z**2 + 3\/20*z**5. What is n in p(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -2*g**3\/3 + 63*g. Let b(k) = 23*k**2. Give b(u(v)).\nAnswer: 368*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0, -74?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/(-4) - (1 - 5 - (32 + -34 - 10)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5864 is divided by 203.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-3276)*-13*2*2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 + 2 = 0. Suppose 0*r = -i*r. Which is bigger: 2\/7 or r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -257 (base 10) to base 15.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 15*w - 10 + 0*w - w - w + (-4 - w + 4)*(3 - 1 - 3) + 3*w - 5 + 5 as g + j*w and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -19*s. Let b(w) = -418*w - 424*w + 1707*w - 420*w - 421*w. Give u(b(v)).\nAnswer: -456*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**3 - 4525*z**2 - 1030535*z - 3051015 = 0. Calculate z.\nAnswer: -451, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -822 by 187.\nAnswer: -822\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -19623 >= -19620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*2)\/sqrt(3).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105908 is divided by 306?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4\/4 - 50*j**3 - 385*j**2\/4 - 95*j\/2.\nAnswer: -5*j*(j + 1)**2*(j + 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l**2 + 287*l + 34. Let z be t(17). Put 4, -10, z, -3, 33 in decreasing order.\nAnswer: 33, 4, z, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10123 (base 4) in base 6?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2 - (-10 + 4 - -8). Let s be (5 - (-20)\/(-24)) + f\/(-12). Which is the closest to -0.16? (a) -1 (b) s (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3909.2 - 4507. Let h = -598 - s. What is the second biggest value in h, 7, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*j - 206*j + 77*j + j + 63*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1300 - -1299. Let p = 4 + -8. Let d be y\/(0 + 7 + p). Which is the second smallest value? (a) 4\/5 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1756 * -4\nAnswer: -7024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b06a8 + 4c?\nAnswer: b0716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 1485 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.72 and -400.\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -799*n**5 + 709*n**4 + 3*n**3 - 1066627*n**2 - 22*n + 1?\nAnswer: -47940*n**2 + 17016*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898706556.\nAnswer: 2, 3, 11, 277, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/12 - 2*m**3 + 6*m**2 + 2*m + 4. Calculate a(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) - 5\/15. Let a be (-3)\/(o*(-3)\/(-15)). Let p = 2 - 0. Solve -z - a = p*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 + -1)*(14 - 660\/48). Suppose 5*g - 310 = -3*u + 252, m*g - 5*u = 200. What is the greatest common factor of g and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/35))\/g*g**4*g)\/(g**7\/(g*(g*g\/g**6*g)\/g)) assuming g is positive.\nAnswer: g**(-173\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 4*l + 0*l + (5*l - l - 3*l)*(-1 + 2 + 0))*(2*l**2 - 2*l**4 - 2*l**2).\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35723, 142913, 321565, 571679, 893255?\n\"Answer: 35731*q**2 - 3*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 345190 by 69038.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 339, 532, 657, 690?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6750936.\nAnswer: 2, 3, 93763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*x + 3*x - 4*y, 0 = x + y + 7. Find the common denominator of -8\/5 and 181\/12 + x\/12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 512*g**2 + 899*g - 198274. Calculate c(511).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 134 = -5*v, -3*v - 4*f - 81 + 19 = 0. Let l be (v\/(-4))\/(11\/22). Calculate the greatest common factor of 65 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b**2 - 6*b + 5. Suppose -6*l + 3*l = -21. Let i(n) = 9*n**2 + 7*n - 6. Determine l*a(r) + 6*i(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -22. Solve 15 = -3*u + 3, 5*o + 3*u - 8 = g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103011131 (base 4) to base 6.\nAnswer: -1401525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 3*j = -892635. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783100.\nAnswer: 2, 5, 11, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z + 41. Let v be r(5). Calculate the greatest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, a: 5, m: 2, n: 2, k: 7}. What is prob of sequence ma?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 a factor of 1080194842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/((z**(-1\/3)*z)\/z))\/(((z**5\/z)\/z*z)\/(z*z**(-3\/2)))*(z**(-1))**(-3\/11)*(z**0\/z)\/(z*z*z*z**(-7)*z) assuming z is positive.\nAnswer: z**(-323\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684650?\nAnswer: 2, 5, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 1027.479?\nAnswer: -1027.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/11))**13 assuming a is positive.\nAnswer: a**(117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4 (b) 0.2218 (c) 3 (d) -5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10193 - -10193. Let x(l) = -l**3 + 7*l**2 - 4*l - 8. Let i be x(6). Suppose j*z = z - i. Solve -r - z*r = -20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -12. Let u(i) = i**3 - 7*i**2 - 6*i - 11. Let d be u(h). Let f(g) = -6*g - 5. Let w(t) = -7*t - 6. What is d*w(x) - 6*f(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-5)\/30)*5. Suppose -4*p + d = -p. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 722?\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.79 take away 23342.5?\nAnswer: -23234.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, 2\/54865, 6 in descending order.\nAnswer: 6, 2, 0.2, 2\/54865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*t**5\/7 - 30672*t**4\/7 + 115944*t**3\/7 + 124028*t**2\/7 - 568110*t\/7 - 198476\/7 = 0.\nAnswer: -2, -1\/3, 29\/9, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3402) + 1*sqrt(3402) - sqrt(3402)) + sqrt(3402))\/(sqrt(36)\/sqrt(150)) + 0)**2.\nAnswer: 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-9 - -49) - 66.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**3 - 36*m**3 - 13*m**3)*((0 + 2*m + 0)*(-2 + 5 - 1) + 3*m - 3*m - m).\nAnswer: -114*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + t - 5 = 0, -2*h - 2*t - 3 + 1 = 0. Let s = 26 - 18. Let m = s - h. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, h: 1, d: 1, m: 1, x: 2, k: 1}. What is prob of sequence xdbk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10 and -2294?\nAnswer: 2284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-4 - (-23 + 6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 28*m**2 - 54*m + 55. Give f(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uueuhheuheehrve. What is prob of sequence vh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 12 = s + 2*s, 0*s - 3*s + 40 = -5*s + 44172*g - 44168*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-3) + (-14)\/112*68\/(-6). Let y = 235 - 240. Suppose -3*z + 0 - 6 = 0. What is the nearest to v in -4, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:23 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/30)*j*j*j)**(-1\/11) assuming j is positive.\nAnswer: j**(-89\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980699?\nAnswer: 701, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1) - 0 - -2. Suppose 0 = i*k + 14 - 50. What is the lowest common multiple of k and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 - -2344\/7. Let r = -2.8 + 0.4. Let p = -2 - r. Which is the nearest to 2? (a) i (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, -124, -294?\n\"Answer: -170*q + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28239 - 28*r**4 + 68*r**2 - 76*r**3 - 64*r - 4*r**5 + 28223 - 168*r**2 = 0 for r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010077378 rounded to six decimal places?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 50 = 2*k, -6*k - 2*z = -3*k - 70. Let x(y) = y**3 - 26*y**2 - 359*y + 20. Calculate the remainder when x(36) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.889 - 0.111. Let u = 64 + -63. What is the nearest to -0.1 in u, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8450 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 48*d + 5307 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - x = 4*x, 4*x = f - 9. Suppose f*v - 7 = -32. Sort v, -1, -8.\nAnswer: -8, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 27752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 1. Let r(k) = -3*k - 15. Let m(d) = 6 - 26 + 21. Give a*r(y) - 15*m(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -5*g - 72. Suppose -2 = g*r - 2. Solve 2*f - 6 = -f, -2*x + 4*f = r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -666292, -1332704, -1999116?\nAnswer: -2665528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -51.71. Let g = i - 0.11. Which is the smallest value? (a) -4 (b) g (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, 1, 3\/7, 338?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v + 2*a + 20, -12 = 2*v - 2*a. Let t be (1\/2)\/(v\/(-1232)). What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37\/148)\/((-1)\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22524, 45245, 67966, 90687, 113408?\n\"Answer: 22721*x - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -5\/4 (c) 1\/20 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 10) to base 9\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 85*i**3 + 2*i**2 + 2*i. Determine d(-1).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 - 6*p + 5. Let u = -25 + 35. Suppose -2*a + 6 = 0, 2*x = -0*x + 4*a - u. Let v be w(x). Solve -v*c = -5 - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583146591?\nAnswer: 3, 194382197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*d + 356*d + 18 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 273\/(-70)*740\/111?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -36. Calculate the remainder when 27 is divided by (-2)\/(-5 + 3)*h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6171966864 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 6*t**2 - t + 4. Let g be i(3). Is g*(-2)\/(-4) - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*t + 300 = 304*t. Let g(h) = -h**3 - 6*h**2 - 4*h. Give g(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a4 (base 14) to base 12.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-0.01.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 803 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 15 = 3*a + r, 8 = -4*a - 2*r. Let m(u) = 2*u**2 + 5*u + 10. Let y be m(a). Solve 3 + y = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 15*d - 3*d. Suppose -6*y - 112 = -14*y. Put y, d, -4, 1 in ascending order.\nAnswer: -4, d, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9758*o - 9757*o + 5*p = -7, 5*o + 9 = p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120 - -8. Let g be (2 - 21\/9)*0. Suppose 5*k - 62 - h = g. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -17*l**3 - l**2 + 8*l + 4. Let d(s) = 51*s**3 + 2*s**2 - 22*s - 11. Give -4*d(q) - 11*y(q).\nAnswer: -17*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10134315 divided by 7695.\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 8*v - 5. Let p be m(8). Let j(l) = 2*l**3 - l**2 + l - 8. Let g(c) = 5*c**3 - c**2 + c - 17. Let y(f) = -3*g(f) + 7*j(f). Calculate y(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 288\/(-858) - 3*(-2)\/33. Which is the closest to 3? (a) -0.2 (b) 1\/12 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-5) - 55\/275.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2 - 4*z - z + 2*z. Suppose 0*o = o. Let f be 2 + (3 - o) + -1. Let s(c) = c - 1. What is f*s(q) + 2*i(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 69. Let k be (-128)\/70 + 2 - 14\/c. What is the nearest to k in 5\/2, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441 >= 8439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 3*v - 4. Let u be 3*(-8)\/36*(-9)\/2. Give t(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -92570 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*t + 280 = 3*m, 5*m - 2537 + 2518 = -4*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 152472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 - 6*v + 157. What is m(8)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 19*x - 12 + 0 + x + 0 + (-5 + 2 + 5)*(0*x + x + x) - 2*x + 6*x - 2*x to the form h*x + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -640542 (base 8) in base 14?\nAnswer: -57a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1080088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 530 (b) -3\/8 (c) -139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3825972 and 132?\nAnswer: 42085692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*o - 2. Suppose -4*x + 9 = 1. Sort o, -3, x.\nAnswer: -3, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 11*u - 8. Let w(f) = f**2 - 5*f - 40. Let t be w(-5). Let j be x(t). Solve -2*c = -0*c - j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 21. Differentiate -7 - 4 + 1227*g**2 - 1245*g**p with respect to g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*q + 3*q - 9, 0 = 5*z + 5*q + 20. Let l be z*(-6)\/(-2 - 1). What is the units digit of l + ((-4)\/2 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2339*o**3 - 2343*o**3 + 4687*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 50 - 90 + 21 - 38*p + 19.\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(9\/12). Suppose -10 = -4*v - 2*f, r*f - 3 = -v + 1. Suppose -2*j + 4 = 5*y, -y - 5*j = -6*y - 10. Solve y = i - 1 - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*t - 129*t + 82170 = 883*t for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**2 + 2 + 2*d - 9*d**2 + 4*d. What is the units digit of s(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108348 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-136*d + 49*d + 60*d)*(-d - 9*d - 12*d)*(2 + 0 - 8)*(-3*d + 3*d - 2*d) to p*d**3 + v*d + b*d**2 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**5\/3 - 10*a**4\/3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1649940 - -1649855.9937. Let d = q + 84. What is d rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k**3 + 1. Suppose -15 = 3*l, 2*n - n = -3*l - 16. Let b be f(n). Suppose -b = 5*p - 55. Solve p = -4*s - 5*z - 2, -20 = 4*s - 4*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 394643, 1580375, 3556589, 6323279, 9880439, 14228063?\nAnswer: 19366145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 497 - 353. Suppose 12 = 2*r - w. Does 26 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(98)*1 + sqrt(98))**2 + -1 + ((0 + 5*sqrt(98))**2 + sqrt(98))*1.\nAnswer: 7*sqrt(2) + 3331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 n when three letters picked without replacement from {y: 1, u: 1, z: 2, n: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174921789 to the power of 1\/3, to the nearest integer?\nAnswer: 1929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 41*w**9\/252 - w**5\/30 + 4*w**4\/3 + 20*w**2 + 2. What is the third derivative of i(t) wrt t?\nAnswer: 9840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-128)\/(-448)*63\/6. Sort -4, 5, -3, o in decreasing order.\nAnswer: 5, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 0.23. Let h be 4 + (14\/63 - 20\/9). Let r(a) = -3*a**2 + 5*a - 3. Let t be r(h). Put t, s, 2\/9 in descending order.\nAnswer: 2\/9, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7 - 3. Solve 0 = o - 5*k + 7, -2*k + 0 = -i*o - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29557934 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -29, -86, -171, -284, -425, -594?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25 - 98.25. Let q = c + 98.00000743. What is q rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1 + (-3 - 3). Let g = -3 - s. Suppose -g*a + 4 = -0*a. Solve o - a - 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1*s)\/s*s**(-5)\/s)\/((s*s*s*s\/(s**(1\/2)\/s)*s*s)\/s)**(-38)*((s**0)**(2\/29))**(-9) assuming s is positive.\nAnswer: s**205","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/143?\nAnswer: -14\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420739827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 518\/224*-4 + 9. Suppose -3*o + 12 = o. Let g be o\/(-12) + (-39)\/(-12). Which is the nearest to -2\/5? (a) 0.07 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2432) - (sqrt(2432)*-1 + sqrt(2432)))\/(-3*sqrt(2)*2) - -4*6*(sqrt(19) - (sqrt(475) + 0)**2))*-3.\nAnswer: -68*sqrt(19) + 34200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33227, -33235, -33245, -33257, -33271?\n\"Answer: -i**2 - 5*i - 33221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21586270 rounded to the nearest 100000?\nAnswer: 21600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/8*(-2)\/(-5). Which is the second smallest value? (a) 20 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12972 less than -213980?\nAnswer: -201008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-1))\/n)\/n)\/(n*n*n\/n**(-2\/11)*n*n))**(-21\/8) assuming n is positive.\nAnswer: n**(1197\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 24*q - 20*q + 5*w, -4*w = 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x + 156. Let i be b(-15). Let g(s) = -20*s**2 - s + 2. Let w be g(-3). Let t = i + w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40.77 - -46.77. What is the second biggest value in 0, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - o - 10 = 0, 0 = -0*j + j - 5*o - 14. Suppose 5 = 2*h + 4*z - 21, 5*z - 50 = -5*h. What is the remainder when h is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - 3*i - 4. Give f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (39543\/(-98))\/((-6)\/8 - 0\/(-1)) is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 7*b + 59 = 0, 1 - 2 = 478*r - 482*r - b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**4 - m**3 + m**3 + 4*m + 5*m**3 - 5*m + 1 as s + c*m + j*m**3 + x*m**4 + v*m**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(2*sqrt(5)) + sqrt(19) - ((0 + sqrt(19))**2 - sqrt(19))*-6.\nAnswer: -9*sqrt(19)\/2 + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-34))\/(-2 - -1). Let t = 21.3 + -23.3. Which is the nearest to -1\/4? (a) t (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-96))\/(3\/12).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -13.6 (c) 24 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:54 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729 = -18*c + 283 + 194 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3 + 5 = -39*m, -4*m - 4*c = 1120 - 1116 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*q**2 - 16\/3*q + 64\/3 = 0. What is q?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 44*g**2 + 212*g + 209. Calculate m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47594782 + 47594785 - 13*j + 0*j.\nAnswer: -13*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11))**(-26))**(27\/4) assuming w is positive.\nAnswer: w**(-351\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/39*(-49)\/(-28)*27\/(-21)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, -2.6, -11, 1.38, -2 in ascending order.\nAnswer: -11, -4, -2.6, -2, -0.2, 1.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -248, -255, -266, -281, -300, -323, -350?\n\"Answer: -2*w**2 - w - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5.41, -0.3, 5\/4?\nAnswer: -5.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 717407 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5382)\/(-552))\/((-3)\/24*6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810410 and 1863943.\nAnswer: 18639430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/20439 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 421 - -5661571?\nAnswer: 5662212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -49\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -568 - -567. Let g be (j*(-6)\/(-9))\/24. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 6*f + 9. Let x be u(7). Suppose 8 = -y - 4*t - 0, 2*y + 4 = -2*t. Solve c - o = -3*o - 1, -x*o - 4 = y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 30*i - 16. Let t be (49\/21)\/(1\/(-6)). Let g be r(t). Solve -2*h + 3*h + 4*a = -g, 5*h + 26 = -3*a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -21 - -28 - (-1 + 5). Suppose -r + 4*s = g*r + 40, -22 = 3*r + s. Let o(y) = y + 12. What is the least common multiple of o(r) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.38.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 3*f - 153 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = 0, -5*c - 3*a + 188 + 1476 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -12*k**3 - 4*k + 3. Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 664*u**3 + 4*u**2 + 4*u - 55. Is k(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61872 and 1040223?\nAnswer: 3867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*o - 52*o = -3, -2*p = 10*o + 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 q when four letters picked without replacement from {p: 2, q: 8, g: 8}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 3 - 1 + 0 + 3 + (0 - 3 + 5)*(2 + 3 - 6) - 1 - 2 + 2)*(-5*s**5 + 4*s**5 + 7*s**5).\nAnswer: -30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let g(a) be the second derivative of a**5\/120 + a**3\/2 + a. Let n(p) be the second derivative of g(p). Calculate n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -253, -446, -779, -1264, -1913, -2738, -3751?\n\"Answer: -2*b**3 - 58*b**2 - 5*b - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 smaller than -89548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 2*z**3\/21 + z**2\/7 - 4*z\/7 - 5. Factor d(l).\nAnswer: 2*(l - 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 17 + 59. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -13*o**3 - 3*o - 2. Let f = -6 + 6. Let n(s) = s + 0*s**3 + s**3 + f*s**3. Let y(d) = -k(d) - 3*n(d). Find the first derivative of y(b) wrt b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-20))\/(495\/(-44) - -9).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1821, -5, -2, 8 in decreasing order.\nAnswer: 8, 0, -2, -5, -1821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 5. Suppose 4*v + 40 = -3*y, -5*y = -9*y. Let f be a(v). Let g(j) = -j**2 + 3*j + 5. Give g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsb when three letters picked without replacement from {s: 1, j: 2, b: 2, z: 1, g: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-15) + 586382\/205.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 384 + -380.5. Let s = 3.3 - i. What is the nearest to 0.3 in -2\/23, s, 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 9 - 39. Let s(r) = 2*r**3 + 2*r**2 + r - 2. Let m be s(-2). What are the prime factors of g\/(2*(-9)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282582934 is divided by 1308?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*u - 2 = 92*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 0.1.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 - 8?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - p**3 + 4*p**2)*(p - 2*p + 2*p) + 5*p**4 + p**4 + 9*p**3 - 4*p**4 - 2*p**4 + 250*p - 146*p + 908*p.\nAnswer: -p**4 + 9*p**3 + 1012*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3963 + -19813\/5. Factor -2\/5*x**3 + v*x**2 + 2\/5*x - 2\/5.\nAnswer: -2*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-10)*(-25)\/10. Let r be (-13)\/(-26) + (-9)\/t. Suppose r*l - 369 = 56. What is the highest common divisor of l and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + z - z**2)*(5*z + 5*z - z).\nAnswer: -9*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 4*s + 2*z - 33, -2*z - 32 = -4*s + 2*z for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 14\/(-6) - 16\/(-192)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 11 + 5 + 163*b**2 - 161*b**2 in the form x + j*b + k*b**2 and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {k: 3, e: 5, v: 5, r: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -24. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/11 (b) -50109 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1290\/(-30))\/(39\/(-39))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f, 0 = 4*u + 2*f + 140 - 892. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 7 + 6*j + j**3 + j**2 + 3*j. Let f(n) = -n**3 - n**2 - 7*n - 6. Let i(o) = 7*f(o) + 6*y(o). Determine i(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**(1\/8))**(-27) assuming b is positive.\nAnswer: b**(27\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 12*l**4 + 18*l**4 - l + 4*l**3 + 5*l**4 in the form n*l**2 + x*l**4 + c*l + q*l**3 + z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*a - 4617. Suppose -a = -10*d + 507. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (53 - 17) + -53\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-60) - (1 + (-204)\/15). Suppose r = 11*k - 5*k. Suppose -j + 3*j + 36408 = 4*l, k*l - 18180 = -5*j. Round l to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3124267 and 327.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 961674574 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 4*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5, -4, 1, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16589.\nAnswer: 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/30 + 2*h**2. Let g(f) = -f**3 + 8*f**2 + f - 6. Let c be g(8). Let w(m) = -5*m**c + m**2 + m**2. Give l(w(z)).\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-15)*5 + 92013. Suppose k - 3 = 0, -5*k + 0*k = -2*g - f. Round g to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 5:02 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532974.\nAnswer: 2, 3, 13, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5 = 2*b + 3, -6 = 2*b. Let r(w) = 20*w**2 - 99*w + 14. Let l(z) = 7*z**2 - 35*z + 5. Let x(c) = -17*l(c) + 6*r(c). What is x(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1533654 divided by -15\nAnswer: 511218\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 4*x - 3. Let i be -4 + (2 + -2)\/(-1) + 2. Calculate f(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.9 - -7.992. Let r = x + -1.592. What is the third smallest value in -5, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1.17?\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 9*u**3 + 21612*u**2 - 516387*u + 334650 = 0.\nAnswer: -2425, 2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2\/5*i**2 + 54\/5*i - 52\/5 = 0?\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**3 + 20*a**2 - 21*a + 7. Let z(y) = y**3 - y**2 + y. Let t(n) = p(n) + 6*z(n). Calculate the least common multiple of 21 and t(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -478909*x**4 + 217871*x.\nAnswer: -5746908*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 3, 2, -22.7, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {n: 5, g: 3, t: 4, x: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 + -8 + 7 + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n**2 - 3. Let w(h) = -15*h**2 - 5. Let q = 1345 + -1348. Suppose 2*j = -4*s - j + 17, 0 = 5*s + 3*j - 22. Determine q*w(i) + s*k(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 + -3 - (-1 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 12*q + 13. Give a(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-36)\/(-30))\/(3\/930). Suppose -4*q = -k - 620. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/44)\/(1*2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 62 + 5. Factor -57*l**2 + q*l**3 + 177*l**2 + 900*l - 15*l**3.\nAnswer: 4*l*(l + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15208721 - -0.5.\nAnswer: 15208721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -34, -65, -98, -127, -146, -149?\n\"Answer: x**3 - 10*x**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 8)*(2 - 1 + 3)*(0*m - m - 3*m).\nAnswer: -64*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 19 = -s - 58, 4*q - 51 = 5*s. Suppose -13*f - c + 13 = -q*f, 5*f = -3*c + 25. Factor 4*y**f - 2\/3 - y - 7\/3*y**3.\nAnswer: -(y - 1)**2*(7*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {q: 5, x: 10, l: 4}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylluiryrllllllzr. What is prob of sequence yr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 4*h - 1. Suppose -2*o = 2*o - 176. Suppose -5*m - 7 + o = -3*n, -m = -5. Is a(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 17. Let f(s) = s**3 + 5*s**2 - 6*s + 1. Let c be f(-6). Let j = x - c. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/439452 and -83\/15024.\nAnswer: 1757808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11653 + (-1 - -3)\/(-4))\/(111\/(-148)).\nAnswer: 2, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 25 = -2*w, -2*w + 52 = -2*v. Let i = 33 + v. Suppose i = -2*q - 0. What is the nearest to 0.1 in 5\/2, 6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 846528225 to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5461149, -10922295, -16383441, -21844587, -27305733?\nAnswer: -32766879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 13144 = -468*m + 219*m for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d - 41. Let h be 3\/(-1) - ((-26 - -10) + 6). Calculate c(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gogsfsgsogfsgsgoos. What is prob of picking 1 o, 1 f, and 1 g?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -21592*t - 172742. Calculate b(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -365741 < -365776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*v + 620, x + v + 2*v = 652. Let g = 648 - x. Calculate the least common multiple of 384 and g.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + t = 29, -4*p + t + 24 = 2*t. Let n = p - 3. Find the second derivative of 10*l - 3*l + l**n - 5*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24410\/257, -3\/8 in increasing order.\nAnswer: -24410\/257, -3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2046920995 + 2046920500.9999084. Let a = o + 494. Round a to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 + 121973 + 5*j**3 - 770 - 375*j**2 + 9849*j = 0. Calculate j.\nAnswer: -9, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 7, 10, 13, 16, 19?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000613461 rounded to six dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 805 + -795. Suppose -6 = 8*p - n*p. Determine s so that 4\/9*s**2 - 1\/9*s**p + 2\/9 - 5\/9*s = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 57\/(-12) - 1\/4. Let a(d) = -d**3 + 4*d**2 + 3*d + 2. Let b be a(5). Let m = k - b. Solve 0*z = z + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-158)\/4 - 1)\/(20\/120). Sort 5, d, 4, -3.\nAnswer: d, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + l + 1 - 1)*(-6*l - 9*l + 5*l) in the form q*l + g*l**2 + z and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-1\/14)\/i)*i*i**9\/i*i**(1\/5)\/(i*(i\/i**(-1\/9))\/i) assuming i is positive.\nAnswer: i**(6401\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 4*r + 36, -u + 4*r = -21. Suppose -12 = l - u*l. Solve o + 9 = l*v, o + 3*v - 9 = -0*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -a + 13. Suppose 5*f + d = 67, 0 = -f - 0*d + 3*d + 7. Let o = a - f. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 2. Suppose 4*c - 9 = -t. Suppose -g = c*g. Solve g = -2*u + 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80 - 2) + 0\/(-1). Let h(g) = -g**3 - 2*g**2 - 15*g - 48. Let f be h(-6). Let x = f + r. Is x a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 18*n - 3991. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 + 3*l + 3. Let a(x) = -3*x**2 - 2*x - 2. Determine -8*a(w) - 5*z(w).\nAnswer: -w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*1*(-8)\/42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -85, -97, -97, -79, -37, 35, 143?\n\"Answer: r**3 - 19*r - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1680584 and 89\/112.\nAnswer: 23528176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuuu when four letters picked without replacement from tiuttuuiututtiuuu.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 6:43 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4\/7 + 92*m**3\/7 + 3000*m**2 - 1213424*m\/7 - 2510080\/7 = 0.\nAnswer: -106, -2, 74, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 9*r**2 - 4*r - 7. Suppose -2*j = -2*s - j - 45, -s - 2*j - 30 = 0. Let l = s + 16. Is w(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 take away 10079691978?\nAnswer: -10079691909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 69*j = -66*j - 702, -3*y - j + 16 + 6 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326195019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 4. Is 10 a factor of (-2)\/v + 576\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 804 - 391. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + sqrt(117) + 3*-1*sqrt(117) + sqrt(117))*1)\/((sqrt(45) - sqrt(180)\/sqrt(4))\/sqrt(5) + (sqrt(729) - sqrt(729)*-2)).\nAnswer: sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*a - 116*a - 984183 + 984124 with respect to a.\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -f + 8*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40742, -4, -5 in decreasing order.\nAnswer: -4, -5, -40742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 298856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79565105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35162748 rounded to two decimal places?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 3. Let y(f) = -f**3 + 9*f**2 - 2*f + 7. Let g(w) = -4*w**2 + w - 3. Let z(i) = 5*g(i) + 2*y(i). What is z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 82*u**2 - 5*u - 40. Determine s(3).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32968221 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/5 + r**4\/24 - 3*r**2. Suppose 3*l + 4*k - 23 = 0, 2*l - 4*k = -0*l - 18. List the prime factors of g(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 130*z = 679355 - 125435. List the prime factors of z.\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1659.8862 months?\nAnswer: 138.32385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 - 1)*(-y**5 + 9*y**2 - 9*y**2).\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:01 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-160)\/120)\/((-4)\/(-66)). Let m(n) = -n**2 - 8*n - 10. Let p be m(-3). Put p, 2, b in descending order.\nAnswer: p, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*c - 160, 3*a + 77 + 28 = -c. Let b be 1\/3*(-12690)\/c. Solve 8*j - b + 7 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a - 9. Let r(t) = t + 2. Let l(i) = -2*b(i) - 11*r(i). Let d be l(7). Solve 2*o = d*w - 2, -4*o - 2 = -5*w + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*v + 21 = 0, 0 = 3*x - 5*x - 4*v + 42. Solve 2*u = -4*h + 12, h + 0*u = -5*u + x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*u - 306*u = -24. Solve 28*v - u = 82 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hahhaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 5*h + 3*h)*(-9*h - 2*h - 72*h) + (-h + 0*h + 3*h)*(h + 2*h - 2*h).\nAnswer: 168*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)*(v\/((v**(-1)\/v)\/v))\/v)\/((v\/(v**(-2\/9)\/v*v)*v*v*v*v)\/(v**4\/v))*((v**(1\/4))**(-25))**(-31) assuming v is positive.\nAnswer: v**(34979\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49.7 - 53. Let s = -1.3 - k. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -86, -87, -88?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -42\/5, 9, -2, 0.1?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70231040 by 219472.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -460 or 1\/4?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 4*l**2 - l**2 - 16*l**2 + 3*l + 23*l**2 to the form v*l + o*l**2 + g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c**5)\/((c*c**(-5\/3))\/c**(2\/13)) assuming c is positive.\nAnswer: c**(-7\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2)*(-3 + 0 + 2). Let o(b) = b**2 - 2*b - 5. Let k be o(5). Suppose -3*u + 5*q + 2 = 0, 5*q = 4*u + u - k. Sort h, 5, u, 0 in increasing order.\nAnswer: 0, h, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 38 = 26. Let w be t\/(-12) + 16\/(-12). Let f be (-2)\/(-4)*(-1 + 1). Sort 0.4, 0.5, w, f.\nAnswer: w, f, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 0 + 1\/4*z**4 + 0*z**2 + z - 1\/3*z**3. What is the second derivative of p(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**3*p**3 - 16*c**3*p**2 - 2*c**2*p**2 + 12*c*p**3 + 2*p**2 wrt p.\nAnswer: -42*c**3 + 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.6 + -6.6. Let g = -0.2 - 0.8. Which is the closest to 0? (a) -0.4 (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -19\/37, 0, 26?\nAnswer: -19\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 3*n + 8*n)*(-2*n**3 + 2*n**3 + n**4)*(-1 + 0 + 4)*(4 + 0 - 2).\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161724557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + z + 17 = 0, 2*w = 2*z - 10 + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2957 + -232. List the prime factors of z.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*y = -360077, -q - 125262 = -3*y - 485369. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*y - 23 = 0, 112*y = 118*y - 6 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527955211 to the nearest integer?\nAnswer: 22977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 104 = 128. Let d be (-4 - -2) + 42 + x. Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 11*y + 12. Let i be k(10). Suppose 6*w - 3*w = -i*l + 25, -5*w - 83 = -4*l. What is the tens digit of -4 + l + 1*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1 + (-4 - 5). Let v be (-3)\/(-15) + (-48)\/p. Suppose 3*f + v = 41. What is the smallest common multiple of f and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*d - 52*d wrt c.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 100\/(-35) - 10\/(-14)*-1. What is the closest to 2 in 0.3, z, -5, 2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + 62*m - 198. Let d be k(4). Let c(s) = 61*s + 4. Let z(h) = -20*h - 1. What is d*c(r) + 7*z(r)?\nAnswer: -18*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 1, 0 = w + f + 71 - 82 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 0 + 0*r - 3*r**2 + 2\/3*r**3 + 1\/60*r**5 + 0*r**4. What is the units digit of t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6106, -12188, -18270?\n\"Answer: -6082*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7306 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.9. Let s = 0.21 - 0.2. Let f = s - x. Round f to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/3)\/o)**(1\/27))**(-3\/13))**(1\/63) assuming o is positive.\nAnswer: o**(2\/22113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1735*n - 163092. Give t(-94).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4.877454*2\nAnswer: -9.754908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/13 - 4174838*z**2\/13 - 41748530*z\/13 - 104371450\/13 = 0.\nAnswer: -5, 2087429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 - i**3\/3 - 4*i**2 + 28*i\/3 - 16\/3.\nAnswer: (i - 2)**2*(i - 1)*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 6*h + 7. Let w be s(-5). Suppose -w*l - 1 - 3 = 0. Let k be (l\/12)\/(4\/(-12)). What is the nearest to -0.3 in 0, k, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6066 and 169174.\nAnswer: 1522566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3 + 6*m**2 - m - 3*m**2 - 8. List the prime factors of o(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*v + v. Let t = 8 - 8.3. Let q = 99\/7 + -14. What is the second smallest value in t, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 3*j - 1. Let f be i(-4). Suppose 0 = -f*l - 0*l + 6. Solve -l = n + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -137467, -137419, -137373, -137329, -137287, -137247, -137209?\n\"Answer: -r**2 + 51*r - 137517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -12 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0304 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.39808 and -1559591678?\nAnswer: 1559591683.39808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1191 - -26062. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 167, 197, 245, 317, 419?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9 = 2*d - 61, 2*j = 3*d + 60. Let x = j + 1. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**8\/420 - a**4\/6 - a**3\/2 - 4*a. Let f(t) be the second derivative of m(t). What is the first derivative of f(w) wrt w?\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1539) + 0)*-2 + -5 + sqrt(1539) + ((1 + sqrt(1539) + sqrt(1539))*-5)**2)*1.\nAnswer: 891*sqrt(19) + 153914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2440 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19366904 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23184 and 21209496?\nAnswer: 127256976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578 divided by 2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xupmlmplllpmlpxala. What is prob of sequence mmu?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -3*a + 708. Let s = -175 - a. What is the lowest common multiple of 88 and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 135*n**4\/4 - 47*n**3 + 3*n**2 + 416. Let k(r) = 0. What is r?\nAnswer: 0, 2\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4\/7 - 1216*z**3\/7 + 25878*z**2 + 1121164*z\/7 + 1507984\/7 = 0?\nAnswer: -4, -2, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 415*x**4 - 36*x**2 - 8600*x + 4 wrt x.\nAnswer: 4980*x**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - i + 252 + 218 - 174 as n + f*i and give n.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d + 1. Let r(a) = -3*a**4 + 4*a**3 + 3*a**2 - 4*a + 6. Let n(o) = 6*h(o) - r(o). Factor n(f).\nAnswer: f*(f - 1)*(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 2\/35, -10, 1114, -5 in descending order.\nAnswer: 1114, 5, 3, 2\/35, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/45))\/((v\/(v\/(v\/(v\/(v*v**2)))))\/v)*(v**31*v)\/((v\/(v*v**(-19\/5)))\/v))**(20\/9) assuming v is positive.\nAnswer: v**(5084\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 2649209.09588\nAnswer: -2649213.09588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 12661225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 648 times 0.0439227\nAnswer: 28.4619096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = g - n - 14, 0 = -3*g - n + 9. Let y(p) = 5*p - g*p - 3*p + 4*p. Let r(o) = 6*o. Calculate y(r(d)).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 154 (base 13) to base 11\nAnswer: 1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 10:40 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8882 + -1811. Let c = 3607 - x. What is c rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4259*b - 4259*b + 19*b**2 in the form q*b**2 + m*b + v and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**5\/5 + 21*b**4\/4 + 5*b**3\/3 + 331*b**2\/2 + b + 4409. What is the second derivative of g(l) wrt l?\nAnswer: 12*l**2 + 126*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*(72\/(-21))\/3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**4\/4 - 5*u**2\/2 - 7*u + 34. Let f be j(-3). Let m = f - -91. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 3*v. Let z(p) = 4*p**2 + 14*p. Calculate 14*s(q) + 3*z(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -32. List the prime factors of 12*(s + 3) + 2.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -311 + 396. Suppose -b - 40 + d = 0. Does 45 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 624*q**3 + 20*q - 614*q**3 - 46*q to a*q**3 + n*q + y + g*q**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.08 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -502, -1001, -1500, -1999, -2498, -2997?\nAnswer: -3496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1148 + -1171 - (-3 + 3 - 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 281646775 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 179\/4. Let f = -1655 + 1652. Which is the nearest to 2? (a) f (b) 2\/7 (c) u (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/2*(-20)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 678*x - 190. Is 21 a factor of c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.15 rounded to 1 decimal place?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18733418 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280528955.\nAnswer: 5, 7, 811, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55746471 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + 5. Let z(t) = -t**3 + 2. Suppose 0 = -8*w - 39 - 321. Let a = -41 - w. What is a*k(r) - 10*z(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -2.723, 4?\nAnswer: -2.723","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 - 1. Let d(t) = -6*t**2 - 1. Suppose -3*m + 30 = 18. Let o(f) = -f - 3. Let c be o(0). Calculate c*d(w) + m*b(w).\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/26779 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 43*1 + -4 + 2. Let q = r + -27. Let o be q + (-19 + 3)\/(-4). What is the greatest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5)*c)\/(c\/(((c*c**(-1\/6)\/c*c)\/c*c)\/c)))\/(c**(1\/3)*c**(-2)*c) assuming c is positive.\nAnswer: c**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -426161031 minus -0.411?\nAnswer: -426161030.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11583432 and 22005?\nAnswer: 57917160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49499.\nAnswer: 49499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-9) - (-14127)\/(-14958)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - ((-1155)\/5)\/21) + -1*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -7. Let h = g - -3.2. Let m = -0.05 - 0.25. Sort h, m, 0.5 in increasing order.\nAnswer: m, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 0.12. Let k = 3.22 + d. Let x = 2.64 - k. Round x to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(-5)\/h))\/(h*h**13\/h)*(h\/(h\/h**(-2)))\/h**2)**(-43) assuming h is positive.\nAnswer: h**387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5502 and 848?\nAnswer: 6350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*v - 2 - 20 = 0, -20 = -5*x + 5*v. What is the tens digit of 1400\/24 + x\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212911*k**3 + 226708*k**2 wrt k?\nAnswer: 1277466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4787.99990144 + 4788. What is g rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 + -81 - (3 - -5)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -64*a. Let r(w) = -7323*w**2 + 10*w. What is c(r(b))?\nAnswer: 468672*b**2 - 640*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4777*i**2 - i - 66.\nAnswer: 9554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*((-360)\/28 + (-9 - -24))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from maaahacahacaaacaapaa?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15) - (3 + -3) - (-93)\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -4 (b) -110\/21 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.678444s to nanoseconds.\nAnswer: 678444000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 108 = -2*s, -23351*s - 4*u = -23346*s - 270 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151499457 to the nearest integer?\nAnswer: 12309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -905 (base 12) to base 8.\nAnswer: -2425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/877 equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-165)\/(((-135)\/110)\/9). Suppose -5*k + 1 = 26, -2*k + j = 4*u. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*z + 6672*z - 148544 = 0 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*d**3*g + b**2*d*g**2 + 3*b**2*g**2 + 2*b**2 + 40*b*d**3*g**2 - 17*b*d + 4*d*g wrt g.\nAnswer: 2*b**2*d + 6*b**2 + 80*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 5*h + 10, 5*t = -2*h + 24. Let f be (0 - 4\/t)\/((-1)\/5). Suppose -a + a = -f*a. Solve -4 = -2*y, j + 2*y - 3 = -a*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -o + 1, 0 = 3*o + u - 29 + 46 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86\/1297 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 700?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 3:41 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/7 + -2 + -2 + 0. Let u(i) be the first derivative of i**4\/4 + 2*i**3 + 3*i**2 + 6*i - 4. Let h be u(-5). Is s not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/300 - 2*y**5\/75 - 19*y**4\/60 - 14*y**3\/15 - 340*y**2. Factor m(b).\nAnswer: 2*(b - 7)*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -2\/17, -1.3, 3, 4\/3, 4, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**4\/8 + 71*k**3\/6 - 50*k**2. Let t be y(22). Solve -t*i + 10*i = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3 + s + 9 - 9 wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m. Let v(s) = 1463*s. What is v(h(y))?\nAnswer: 4389*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3247 is divided by 1076.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -88, 4, 2, 102 in decreasing order.\nAnswer: 102, 21, 4, 2, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l + l**3 + (3*l + l - 5*l)*(-3*l - 3*l**2 + 3*l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = 8. Let v = 6 - s. What is the second derivative of 7*b**v + 20*b - 11*b**4 - b**3 - 6*b**3 wrt b?\nAnswer: -132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, 1\/3, 10.09 in ascending order.\nAnswer: -194, 1\/3, 10.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3 + 208*k**2 + 3140*k - 7104 = 0.\nAnswer: -16, 2, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 147321925 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17557362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33774583613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1220*g - 612*g - 609*g. Let p(c) be the second derivative of 9*c**3\/2 + c. Give p(m(u)).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let k(z) = 522789*z - 6. What is k(j(w))?\nAnswer: 522789*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 2. Let y be n(5). Solve 0 = -2*d - y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*m + 74. Suppose -5*u + 100 = -0*u. What is the least common multiple of 2\/(-7)*(m - -1) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -166 + 1?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2098 + 0.2368. Which is the nearest to -1? (a) -2\/9 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1868 = -2*p - 3*n, 21*n - 18*n = -p + 928. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(405)*-2)**2 + sqrt(405) - (sqrt(405)*-2*-4)**2) + (4*(sqrt(405) - (-4 + -1*sqrt(405))))**2.\nAnswer: 2313*sqrt(5) + 6736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-20)*(y*y*y\/y**(-17))\/y)\/(y*y**13*y*y\/y**(2\/29)) assuming y is positive.\nAnswer: y**(-491\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 8*n - 89. Determine r(-11).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) - 932\/16. What is the common denominator of s\/14 + 0 + -1 and -39\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 1016644)\/(-2)*(-55)\/(-165). Suppose -p - 318652 = -43*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 50*w**2 - w - 2. Let u(p) = 25*p**2 - 1. Let r(d) = -2*q(d) + 5*u(d). Suppose -i + 3*i - o = -2, 0 = -5*i + 5*o - 15. Does 15 divide r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-132)\/(-8)) + (-6)\/33. Let u(s) be the third derivative of -s**4\/24 + s**3\/3 - 23*s**2 - 2*s. Give u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 6328305.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10498 + -10524. Is o less than 0.445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/(-228))\/(2*3\/4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2462*r - 93 = -2475*r + 50 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -67*q - 79*q + 144*q. Let c(s) = 7*s + 4*s - 2*s. Give c(m(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50741.\nAnswer: 50741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20951 is divided by 1584.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13302402 (base 5) in base 7?\nAnswer: -1100535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 233 = 52. Suppose -3*d + 122 = -4*l, 31*l - 66 = -2*d + 26*l. Calculate the highest common factor of f and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00188357 to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2319, -22, 8\/7 in increasing order.\nAnswer: -22, -2, -0.2319, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 6*g - 11. Let j be n(5). Let v be j\/14 - 6\/(210\/(-155)). Solve 3*s = -4*c + 8, v*c = 5*s + 4 + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20518896 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -0.1, 1, 73812, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 26 = 2*d, 4*n - 18 = -d + 4. Let j(u) = -25*u + 11*u + n*u**2 + 14*u. Let b(c) = 4*c**2. Calculate j(b(k)).\nAnswer: 96*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -568*k**2 + 2*k**3 - k**4 - 2 + 1134*k**2 - 564*k**2 in the form d*k + x*k**2 + o + l*k**3 + t*k**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -212, -193, -174, -155, -136?\n\"Answer: 19*o - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Sort h, 1, -3.\nAnswer: -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13023 + 9691 = -1049*m - 30688 - 2195 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.3, -17, 7 in increasing order.\nAnswer: -17, -1\/2, -0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4 = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3611100078 to the nearest integer?\nAnswer: 60092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/120 - 7*m**5\/30 + m**4\/6 - 11*m**3\/3 + 150*m**2. Suppose -4*t = 5*w + 79, 3*w = -w + 2*t - 58. Is 13 a factor of z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n**(2\/41)*n*n)))*n\/(n*n**(-27)))\/(n**(-11\/6)*n\/(n*n**(-25)\/n)*n) assuming n is positive.\nAnswer: n**(193\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 22201211101?\nAnswer: 22201211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -3. Let a = k + 6. Suppose 0 = 3*p + 2*w - 14, 5*w - 3 = -p + 19. What is the remainder when a is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) - 54\/(-30). Let y(f) = -11*f + 25. Let i be y(2). Sort o, 5, i, 1 in decreasing order.\nAnswer: 5, i, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50752\/6315452)\/(24\/33).\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1386840 divided by -4953.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167032?\nAnswer: 2, 145879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -3. Suppose v*q - 3*q = 124. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -209811 - 152?\nAnswer: -209963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.08111 and 4122.25.\nAnswer: 4126.33111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 10.8. Let u = -0.7 - d. Let l = u - 0.1. Which is the nearest to l? (a) 3\/4 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2756 and 11554?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1473182 or 0?\nAnswer: 1\/1473182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-22) + 1467\/(-326)*8\/18\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g*g**10\/g)\/(g\/g**(6\/5)*g*g*g**(-2)) assuming g is positive.\nAnswer: g**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + g**2)*(-3*g + 2*g + 3*g) - 4*g**3 + g**3 - 4*g**3 in the form p + x*g**3 + d*g**2 + n*g and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(132\/55)*-4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 219.5 (b) -1.2 (c) -2\/11 (d) 54\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10621 and 89661.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 54359903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*y + y**2 + 9643*y**3 - 144*y - 9647*y**3 as f*y + x*y**2 + g + a*y**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13136 (base 10) in base 3?\nAnswer: 200000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*j - 8 = -2, -3*j = -2*y + 4. Solve 5*w - y*z = -30, 3*w - 1 + 17 = 2*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swd when three letters picked without replacement from pswdr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 29*d**2 - 83*d**2 + 25*d**2 - 41*d - 2 + 24*d**2 in the form g + w*d + l*d**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 720940, 720976, 721012, 721048, 721084, 721120?\n\"Answer: 36*o + 720904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-5) + 81\/(-15). Let q = -3 - h. Suppose 2*f + 1 = o, q*o - 2*o = -5. Put f, -5, 5 in ascending order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from iillqiinciiqiclclci.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by 2044.\nAnswer: 48\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 = 5*a + 8, 3*a - 10 = -5*r. Suppose 0 = -5*v + 2*v, 4*y + 3*v + 36 = a. Let m = y - -26. What is the remainder when 49 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 2*4)*1. Suppose -w = -q - 5. Suppose -4*f = d - 3*f - w, 0 = -4*d + f + 42. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -297676.\nAnswer: 29767.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5133 and 531?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 19 + 20899*w**2 + 172.\nAnswer: 20899*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*g - 9338*g - 262981 = 118452 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/3 - 58936*o + 707264\/3 = 0 for o.\nAnswer: -88408, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2432, 4840, 7232, 9602, 11944, 14252, 16520?\n\"Answer: -l**3 - 2*l**2 + 2421*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 + 0 - 11) - (-38 - -45)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.83 - -1.83. Suppose -5*f + 0*f + 10 = 0. Which is the biggest value? (a) f (b) 10\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:40 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0576 * 615\nAnswer: -35.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 95*h - 183. What is the least common multiple of b(2) and 71?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/156 and -11\/9.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -531925*q**3*x**2 - 8*q**3 - 12*q**2*x**2 + 76*q**2*x - 2*q**2 + q*x**2 + 745*q wrt q.\nAnswer: -3191550*x**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - d + 6. Let f be q(3). Round f to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 20 = 0, -j = 4*j - 3*z + 50 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 58 + 24. Suppose -3*y + t = 2*q + 5, -24 = -4*q + 4*y. Is ((-213)\/q)\/((-1)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2197*d*p**4 - 15664*d*p**2 - 4*d*p - p**5 - 142*p**3 + 6*p**2 - p wrt p?\nAnswer: -52728*d*p - 60*p**2 - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1034257 divided by -24.\nAnswer: -1034257\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1. Let r(h) = h + 2. Let i(b) = 2*d(b) + r(b). Let y(t) = 6*t**2. Let k(o) = o**2. Let l(u) = 5*k(u) - y(u). Determine l(i(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 114965081 to the power of 1\/2, to the nearest integer?\nAnswer: 10722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = j - u, j + 26 = 2*j - 2*u. Suppose 0 = 2*a - 140 - j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from izizizziiiziz?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 10972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 27615304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37686, -37626, -37566, -37506, -37446, -37386?\nAnswer: -37326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 16) to base 13\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428181 is divided by 207.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*k + 9*k + 2*v - 1, -129*k - v + 1 = -121*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 51 = -4*c, 0 = 5*c + 5*o - 44 - 31. What is the smallest common multiple of c and 142?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivii when four letters picked without replacement from viiiziiiiiiiiiii.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 6) in base 14?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169107, 338214, 507321, 676428, 845535, 1014642?\nAnswer: 1183749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 27. Solve 4*p + m = y*p - 23, -4*p + 25 = -3*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + 143402?\nAnswer: 143300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.07, -1041?\nAnswer: -1041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -554642 times 9?\nAnswer: -4991778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*z = 59, 5*k + 0*k - 117 = z. Let c = -9 + k. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 312804 + -453324. What is d rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74211?\nAnswer: 3, 29, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 804073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110 (base 2) to base 16.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 take away 0.5?\nAnswer: 582.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 14*o**4 - 673*o**2 - 17*o**4 + 72*o + o**4 - 71*o + 2*o**3 as u*o + c*o**3 + h*o**4 + k + n*o**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*b**2 + 26*b**2 + 68*b**2 - 168*b**2.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -473 greater than -475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 - l**2 + 5*l - 4. Let s(v) = 5*v**3 - v**2 + 6*v - 5. Give 5*s(w) - 6*y(w).\nAnswer: w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xccccccccsccsbsbs. Give prob of sequence csxb.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 + -139. What is the second smallest value in z, 12, 1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**10\/30240 - l**9\/7560 + l**8\/6720 - l**4\/6 - 3*l. Let i(p) be the third derivative of u(p). Find w such that i(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -344261550 - 4?\nAnswer: -344261554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-91)\/(-4)) + 5229\/2988\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -248?\nAnswer: 247.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -558, -557, -556, -555, -554, -553?\n\"Answer: r - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-35 + (16 - -22) - (-1 + 39)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.33? (a) -1 (b) 2 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.47 times -15\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -971, -9 in increasing order.\nAnswer: -971, -9, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3639, 2, 0.0381, -1, 3?\nAnswer: 0.0381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/120 - 3*o**4 - 432*o**3 - 156*o**2. Factor m(n).\nAnswer: -(n + 72)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68917 + 489772 = 13*r - 64955. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/143461725 and 7\/19239.\nAnswer: 1578078975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*u + 7. Let f be 0\/u + 230902\/(-32). Let h = f - -7212. Calculate the common denominator of h and -53\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28997 is divided by 14457.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104.00077 - 104. Round m to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v = y - 52, -4*v - y + 68 = 0. Solve -4*j = 4*g + v, 5*j - j = -3*g - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/4)\/d*d)\/d)**(-40)\/(d**(-2\/87)*d*d\/d**(1\/21)))**(-1\/4) assuming d is positive.\nAnswer: d**(-29275\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**7\/35 - 323*i**3\/6 + 2*i**2 - 185. Find the first derivative of d(q) wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((sqrt(26)*-2 - sqrt(26))*-2)\/sqrt(2) - sqrt(39)\/(sqrt(192) - sqrt(192)*2)))**2.\nAnswer: -147*sqrt(13)\/4 + 31789\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 31550516?\nAnswer: 31550513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 7012*x**2 + 3639484*x - 590151900.\nAnswer: 4*(x - 975)*(x - 389)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + -118*(-4 - -3) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15dc (base 14) to base 6\nAnswer: -30050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 594356184.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-108)*3\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 11:17 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*o + 1936 = -669*o + 301*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g + 2. Let j be x(0). Suppose 3*o + 5*r = 19, j = -r + 2*r. What is the tens digit of 53 + o - (-8)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - 4*-5*sqrt(11) - sqrt(11)) + sqrt(22)\/(sqrt(16)\/sqrt(8)) - ((1*sqrt(121) - sqrt(121))\/sqrt(11) + 6*sqrt(396) + sqrt(11)))**2 + 2.\nAnswer: 2818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -32 - (1 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-28)\/(-8) - 3)*250 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 5*n - 10. Let a = 5 + -12. Let x be d(a). Let f be 8\/(-2) - ((-12)\/(-4) - 23). Solve 5*o - 4*g = -g - f, 2 = 3*o + x*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*p - 4*h, h + 96 = 2*p + 57. What is the remainder when 964 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -299414 and 18804447.\nAnswer: 18505033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -306\/26273 in -0.02, 1\/8, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55\/6 - 9*x - 1\/6*x**2.\nAnswer: -(x - 1)*(x + 55)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126.11 - 1.89. Let z = 126 + m. What is the closest to -1\/4 in -166, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*s - 91 + 287, 0 = 4*d - 5*s - 392. Solve d*t = 100*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 254, 377, 506, 647, 806?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (sqrt(171)*3 - sqrt(171)))*-2*6)\/(-5*(3*sqrt(9)*-6 - sqrt(9))).\nAnswer: -36*sqrt(19)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004777 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (279\/3348)\/(23\/(-6)).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2, 5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -2.39\nAnswer: 26.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 + 70. Sort -3\/4, 1\/3, -0.5, u.\nAnswer: u, -3\/4, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1224\/(-986))\/((-1278)\/(-24708))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*r + 41 = 3, f - 28 = 3*r. Let v(o) = -o**3 + 12 - 13 + 22*o - f*o**2 + 17 - 2*o**2. Does 38 divide v(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23\/6 (b) 1\/3 (c) -3\/5 (d) -3\/68 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 greater than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19586861\/361779 + -3086\/57. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3305*d - 6605*d + 3290*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240 + 14?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d - 792. Let u = 501 - d. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235244 divided by -5114.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (116*u - 248*u + 121*u)*(-20085*u + 202*u**2 + 20085*u) as t*u + a*u**3 + f*u**2 + r and give a.\nAnswer: -2222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 6*w + 3*w + 2*w**2 + 2*w + w**4 + 2*w**3 to the form n + i*w**2 + g*w**3 + y*w**4 + b*w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -302*m - 2. Let y(a) = 2*a**2 - 68*a. Calculate y(i(d)).\nAnswer: 182408*d**2 + 22952*d + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-4) + 2\/(-4). Put m, 0, -3 in decreasing order.\nAnswer: m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 102)\/(2\/5). Suppose 3*o = j + 144, -5*o + r = 2*j + 3*j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 = -4*o, -o - 7 = 2*r - 2*o. Let h be (-16)\/10 + r\/(-3). Factor 0 - 32\/5*y**3 - 16\/5*y**2 - h*y.\nAnswer: -2*y*(4*y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 6:38 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 44*h - 6. Let k(y) = y**2 - y**3 - 6 - y + y. Let n be k(0). Let z be i(n). What is z rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 + 14805*k**4.\nAnswer: 3*k**4*(k + 4935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) -1\/93 (b) 2\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -1.5. Let s = -0.8 - h. Which is the nearest to -1? (a) 3 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 11.5.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 11000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8457\/112 - 543\/7. Calculate the common denominator of (-43*9\/(-660))\/((-6)\/(-5)) and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 27*j**3 - 27*j**2 - 2. Suppose 12*g = -0*g - 24. Let o(i) = i**2 - 1. Let u(m) = g*o(m) + n(m). What is the third derivative of u(d) wrt d?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132282 is divided by 66139.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/11, 2, -5, -2\/5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 177305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let y(h) = 44*h. Let g(b) = -55*s(b) + y(b). Let q(t) = 2*t. Give g(q(a)).\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v. Suppose 3*h = 4*h + 4*r - 15, v = h - 5*r - 15. Solve 2*l - 25 = -5*p + 3*l, -h = -3*p + 3*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -14*b**2 + 30*b + 578. Let y be l(31). Which is smaller: y or -11945?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 831647273.45 + -831647317.250000087. Let k = t - -43.8. What is k rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133217038 divided by -67.\nAnswer: 1988314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418 or -21727?\nAnswer: -21727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100100201201 (base 3) in base 11?\nAnswer: 1005296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-11)\/((-44)\/224). Let k be 3\/6*-2*t + 1. Let d = -57 + k. Solve -3*w - 2*r - 8 = -4*r, 2*r = -d*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.321912 millimeters to nanometers.\nAnswer: 9321912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 48, 90, 148, 228, 336, 478, 660?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*p**3 - 467778*p**2 + 76236761*p wrt p.\nAnswer: -66*p - 935556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 15*c + 153 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. What is the least common multiple of 7 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbbb when four letters picked without replacement from {b: 9, w: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -725 divided by 22?\nAnswer: -725\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -7427393.\nAnswer: -59419144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-1 - (-935)\/44)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -91*g - 104*g + 326*g - 101*g + g**2 = 0. Calculate g.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -21*y**2 + 26*y - 120. Let d(l) = 20*l**2 - 24*l + 111. Let g(k) = -12*b(k) - 13*d(k). Let q(x) = 4*x**2 - 4*x**2 - 1 - x**2. Give -g(v) + 3*q(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -45*y**2 - 7*y + 5. Let l(c) = 2 - 22*c**2 + 5*c + c + c - 11*c + c. What is 2*f(j) - 5*l(j)?\nAnswer: 20*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 646\/(-57) + -26 - 2\/3*4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 6, -134, 0, -22, -2, -4 in descending order.\nAnswer: 23, 6, 0, -2, -4, -22, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57.69, 0.7, -1\/5.\nAnswer: -57.69, -1\/5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 13.7, -0.11, -5, 0.3 in increasing order.\nAnswer: -5, -0.11, 0.3, 13.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*o + 52, -3*o - 4*g = -5*g - 58 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-3 + 155\/(-15)). Suppose 5*k + p + 2*p = 100, 4*k - p - j = 0. Let z(h) = -h**2 + 21*h - 17. Let w be z(k). Solve -w*v - v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i*y**3 + i*y*z**2 - 5*i*y*z - 59*i*y - 11*y**3*z**2 wrt z?\nAnswer: 2*i*y*z - 5*i*y - 22*y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*-2 + sqrt(3600)*3)\/((sqrt(144)*-2)\/sqrt(12) - -6*sqrt(48)\/sqrt(4)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 404819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104414 + -105?\nAnswer: 104305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaawaaa?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.34 + -0.4. Let j = -0.06064 - x. What is j rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 594 and (-1776)\/(-81) + 5\/(405\/6).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 212121.\nAnswer: 848484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -3. Suppose -l*r + 7*r = 4. Factor -48*p**3 - 4*p**5 + 25*p**3 - r*p**2 + 27*p**3 + 4*p**4.\nAnswer: -4*p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:41 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 4884606.\nAnswer: 34192242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -11.538562.\nAnswer: 4.6154248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**2 + 3*p + 16. Let g = -10 + 7. Calculate y(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 44 - (1 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 5 - 61 - 25 - 2*r + r**3 to q*r**3 + l*r + i + m*r**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r. Let j(a) = 102880324*a. Give n(j(f)).\nAnswer: 308640972*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/24 + (-1)\/(-4). Suppose 2*s - 3*s = -j*p + 17, 2*p - s = 11. What is the least common multiple of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -89, -90, -91, -92, -93?\n\"Answer: -k - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2854)\/(-6) + (-8)\/(-6)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*9*(-1)\/3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3199144997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.78849551 and 1.52.\nAnswer: -4.26849551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364, 353, 320, 253, 140, -31?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from eeexmermrhmre.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 5\/12, -2.2, 0.2, -28\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -330*k**2 - k - 2 - 1 + 317*k**2. Let n(h) = -8*h**2 + 5*h - 1. Let w be n(1). Let m be u(w). Round m to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((((x\/x**(-6))\/x)\/x)\/x))\/(x*x**8)*(x*x**(2\/5)\/x)**5)\/(x**0*x**(-7\/3))**(18\/11) assuming x is positive.\nAnswer: x**(-68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6791 is divided by 213.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v**2 + 18*v**2 + 24*v**2 - 69*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/10? (a) -0.1 (b) -40 (c) 5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(637)*2 + 5 + -2 + sqrt(637)*-1 - ((sqrt(637) - (sqrt(637) + -1 + sqrt(637)))*2 - (sqrt(637)*2 + 5)))**2.\nAnswer: 210*sqrt(13) + 15934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 10431404?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and 222.\nAnswer: 7770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5298 divided by 3\nAnswer: -1766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59, 46, 33, 20, 7?\n\"Answer: -13*q + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 n when three letters picked without replacement from bbxbbnxln?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (58\/(-4))\/(2*(-1)\/44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 3*c = -4*j - j + 3, 3 = -3*j + 3*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:59 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45.000021 + -45. What is c rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 661 - 605. Suppose -3*x - h - 1 = -128, -2*x + 83 = -h. Calculate the highest common factor of x and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**3*o**3 + 12*l**3*o + 5*l*o**2 - 3*o**3 + 3 wrt l.\nAnswer: -24*l*o**3 + 72*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(216) - sqrt(171)\/sqrt(81))**2*3.\nAnswer: 19\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1162 - -5?\nAnswer: -115c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**29)**(9\/8) assuming n is positive.\nAnswer: n**(261\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1721274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -7. Let c = x + 6. Let t be ((40734\/(-511))\/93)\/((-16)\/14). What is the closest to -1 in t, c, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2990 and 85\/13156.\nAnswer: 65780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 338301 in 0.1, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3249 and 156066?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(5\/(20\/(-6))). Let l be ((-1)\/8)\/((-20)\/480). Sort 5, c, l in descending order.\nAnswer: 5, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-21))\/1 + (-4)\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.184 - 31.702. Let l = t + -0.114. Let y = -33 - l. Which is the closest to 0.1? (a) 2\/7 (b) y (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.5, 213?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 200\/32 - (1 + 21\/(-12)). Solve -y - 11 = -t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47993069 a multiple of 929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.9336 nanograms in kilograms?\nAnswer: 0.0000000001399336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - m. Let q(d) be the first derivative of -5*d**4\/4 + d**3\/3 - d**2\/2 + 49. Give l(k) - q(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-5 - -10) - (-8 - -3). Suppose 0 = -j + 3*s + 566, x*s = -3*j + 10*s + 1708. What are the prime factors of j?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21530*b - 21483*b + 64379*b - 21368*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, g: 1, r: 4}. What is prob of sequence qgr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:56 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -227 + 253?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**2 + 10*d. Let b(h) = -90*h - 10. Let z(k) = 73*k + 8. Let g(m) = -4*b(m) - 5*z(m). What is g(n(o))?\nAnswer: -45*o**2 - 50*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37376573499452 - -1.\nAnswer: 37376573499453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -9, -1, 1, 48817 in ascending order.\nAnswer: -9, -1, 1, 4, 5, 48817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -0.1, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1344782732 to the nearest integer?\nAnswer: 36671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(252) - (sqrt(1008)*-1 - sqrt(1008)).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 12*f**2 - 14*f + 5. Suppose -3*p - 4*k + 257 = 198, p = -4*k + 33. Calculate o(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -80*i**2 - 5. Let h(k) = 2*k**2 - 431*k - 2. Determine h(b(q)).\nAnswer: 12800*q**4 + 36080*q**2 + 2203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 + (13 - 43 - -33 - 41)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 29753*t**2 + 46*t + 25. Is d(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14\/9, 3\/4, 32\/65, -26?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/44 and 77\/8612.\nAnswer: 94732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 11*s = 3*d + 97, -d + 271 = 3*s. What is the remainder when s is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 14*q - 82. Let d(j) = -111*j + 639. Let b(n) = -6*d(n) - 50*l(n). Calculate b(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19655393.\nAnswer: 353, 55681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 + 442 - 574*z**2.\nAnswer: -574*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6 = 2*g, 6*g + 3 = 4*l + 5*g. Suppose l*m = -m + 5. What is the remainder when (-2)\/(m\/(225\/(-6))) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -10, 22, 54, 86?\n\"Answer: 32*j - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -31876 times -17.7\nAnswer: 564205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6011*d + 11672 - 11672 to the form m*d + g and give m.\nAnswer: -6011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1.64, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56a - a?\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7 + 8*n**2 + 9*n - 24959*n**3 - 2*n**2 - 2*n - n. Let y be p(-5). Suppose y = -6*h + 2*h + 2*i, -5*i = -5. What is h rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 407169 and 170982.\nAnswer: 48045942","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1\/43)*t**(-37) assuming t is positive.\nAnswer: t**(-1547\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -65*q**3\/3 - 26*q + 61. Differentiate n(j) wrt j.\nAnswer: -130*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15120*u - 26 - 16145*u - 16152*u + 47419*u.\nAnswer: 2*u - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7177, -0.2, 109 in ascending order.\nAnswer: -0.2, 109, 7177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 + 233 = 5*z. Suppose 5*o = -20 + z. Suppose o = 5*h - q - 87, -40 = -2*h + 2*q. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*w + 23 = 0, -9 = 4*z + 2*w + 5. Let n be (-2)\/10 + 1\/5. Put z, -0.1, n in descending order.\nAnswer: n, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*p**4 + 41*p - 1 wrt p?\nAnswer: -996*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + 2*w)*(-34106 - 543*w + 34106).\nAnswer: -1629*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 1\/5*c**2 + 15*c + 74\/5 = 0?\nAnswer: -74, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/(s\/(s\/(s**(-4)\/s))*s))\/(s**(-4\/5)*s**(-6)) assuming s is positive.\nAnswer: s**(103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3 + 0 + 0 + t**2 + 0. Let h(x) = 1150 - 380 - 385 - 383. Give -2*g(d) + 3*h(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 403, 1592, 3577, 6358, 9935?\n\"Answer: 398*g**2 - 5*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 70*a**3\/3 + 53*a**2 + 36*a + 4021. Solve o(b) = 0.\nAnswer: -1, -18\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 + 160 + 0*p - 317 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -75043 and 50.08 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-3460)\/(-200) - 7\/(-90).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -4.599696.\nAnswer: -4.599696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67613 minus 0.67?\nAnswer: 67612.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13993056 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 5*u = -7*c - 8, 4*c + 16 = 4*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6573881 bigger than -6573880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 828760 (base 9) to base 16\nAnswer: 781bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91.31 - -89.31. Let x be 2\/12 + 136\/48. Sort -3, x, -2\/17, l in decreasing order.\nAnswer: x, -2\/17, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 30*j - 10. Give n(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/5 (b) 1\/14 (c) -2\/11 (d) -23\/11 (e) -3\/5 (f) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**2 + 6*s. Let c(x) = 7*x**2 + 7*x. Let v(b) = -6*c(b) + 7*m(b). Let q(i) be the first derivative of 2*i**2 + 120. Calculate q(v(g)).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 122*b**2 + 49*b + 381. List the prime factors of w(-8).\nAnswer: 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 132311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13011131 + -1?\nAnswer: 13011130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.078 * -42\nAnswer: 3.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2 - 19\/((-152)\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 221*n**2 + 1120*n - 2246. Determine j(-226).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o + o**2 + 10 - 14*o + 9*o - 3*o.\nAnswer: (o - 5)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a factor of 22125265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-six sevenths of a week in minutes?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 549 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 1\/4, 1\/7, -0.3 in increasing order.\nAnswer: -0.3, 1\/7, 1\/4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*i**2 - 90*i**2 - 94*i**2.\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2\/(-8))*8. Let 4*s**3 + 3*s - s - 2*s**4 - x*s - 2*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + 4 - 1515240\/(-28520)?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + -2. Let r be 11423\/(-2404) - (-7)\/b. Let v = r - -1\/601. Find the common denominator of v and -31\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 4. Let h(i) = 1. Let n(b) = f(b) + 4*h(b). Let a be n(-2). Suppose 0*s = a*s. Solve -z + 7 = 2*t - 5*t, -5*t - 4*z + 11 = s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9844408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.67 - -20094.\nAnswer: 20091.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -180, -580, -1348, -2604, -4468, -7060, -10500?\nAnswer: -14908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -26*m - 1. Let x = 8 - 9. Is 18 a factor of o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -33. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21541.23 - 0.3.\nAnswer: 21540.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c**2 - 9. Let x(j) = -367*j - 2. What is l(x(i))?\nAnswer: -1885646*i**2 - 20552*i - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -4353\/625 and -6.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103*h**2 + 56748*h + 10040610 wrt h?\nAnswer: 206*h + 56748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -61a957 (base 11) in base 12?\nAnswer: -400068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) + 12\/3. Sort 0, -4, -2, z in ascending order.\nAnswer: -4, -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1579, 1582, 1585?\n\"Answer: 3*p + 1576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 522 - -34. Let k = 591 - h. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13093254 and 1746.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1 = 3*x, i - 2*x = 3*i + 2. Let v be (-6)\/(-4)*(1 + 1). Suppose -i*q + 16 = -2*k + 5*k, -15 = -v*q. Solve 6 = c + k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*t**2*v**6 + 6*t**2*v**2 + 16*t**2*v - 3*t**2 + 4*v**6 wrt v.\nAnswer: -3120*t**2*v**3 + 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -19*z**2 + z - 7. Give q(3).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 32*d + 1. Let n be y(9). Let g = n - 1739\/6. Is g greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s. Suppose -9*k + 16*k = 77. Let c(l) = -14*l**2 + k*l**2 + 10*l**2 + 2*l**2. Calculate b(c(w)).\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 0.029, -0.08, -895\/6, 0.2, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - j**5 - j**3 + (2*j**4 + 3*j**4 - 3*j**4)*(2*j - 2 + 2) - 2*j**5 - 3*j**3 + 3*j**3 + (2*j - j**3 - 2*j)*(4*j**2 + 2*j**2 - 7*j**2).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148 - 122) + (-10 - 1) + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 4.6. Let y = -2 + 6. Let f = y - v. Is f at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 126*l - 2766. What is w(98)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -125\/4*b - 875\/12 - 15\/4*b**2 - 1\/12*b**3 = 0. Calculate b.\nAnswer: -35, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2229*b - 3799*b = -2068*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 228112\nAnswer: 49\/228112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5465, -5418, -5367, -5312, -5253, -5190?\n\"Answer: 2*y**2 + 41*y - 5508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18343 is divided by 278?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -472 by -4.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38892960 and 36?\nAnswer: 38892960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 3\/10 (c) 9\/4 (d) 1 (e) 1075\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6393039.9928 and -30.\nAnswer: -6393069.9928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 - 5*w**3 - w**3 + 34*w**4 - 2*w - 32*w**4 + 0*w**3 to u*w + q*w**3 + h*w**4 + d + m*w**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/8 + 1\/(-4). Suppose -46*n - 10 = -51*n. Suppose n*b - 7 = 5. Solve -4*r - i*w = -4 - 8, 4*r - 5*w + b = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14388040\/60*-3*((-1)\/2)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/((-2184)\/(-351))*((-4200)\/27)\/7.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -1)*2\/(-4). Suppose -9*f + 4 = -13*f. Let v be (-2 - f) + (4 - 3). Is v at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -847 not equal to -2543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 7*a = 5*i - 1562, -a - 625 = -2*i. Let z = i + -89. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaa when three letters picked without replacement from aaaaaaaaaaaaaaaagag.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2ea69 (base 16) to base 9\nAnswer: 321102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i + 2*d - 31, 2*i + 5*d - 25 = 0. Let u = 7 - i. Let k(h) be the first derivative of -h**2\/2 - 27. What is k(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, i: 2, w: 1, t: 2, b: 1}. Give prob of sequence ct.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2 - 6*u + 1. Let v(j) = -7*j**2 - 11*j + 1. Let g(s) = -3*v(s) + 5*z(s). Let x be g(-3). Solve 9 - 1 = x*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from rrzbrubbdu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/179531154 and 79\/79791624.\nAnswer: 718124616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 23*q\/3 - 946.\nAnswer: (q - 66)*(q + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -24. Let x = o + 11. Let p be (-4 + (-48)\/(-9))*3. Solve -n = p - x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 divided by -6.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 237932*l**3 - 158245?\nAnswer: 713796*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 3:51 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676829 + 16886819 = -5*u. Let x be (7 + (-5 - u))*1. What is x rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-637))\/(16\/(-224)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 571 + -38971. What is h rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1507038103 to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 14. Let v(w) = w**2 + 5*w + 7. Give v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-12) + (-10513)\/44. Suppose 0 = -2*z + 5*l - 486, -z = -3*l + 8*l + 228. Let h = z - p. Which is the smallest value? (a) 2\/9 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224624 and 1641173.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m)**(3\/2))**(3\/4)*(m**(-1\/2)\/m*m)**(-2\/45)\/((m\/m**(-1))\/(m*(m**(-1\/17)*m)\/m*m)) assuming m is positive.\nAnswer: m**(-28\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231222 - -31310?\nAnswer: 323132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-33)\/22*(-16)\/(-84)*-5607 is divided by 801.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**(15\/2)))*b*b*b**0*b*b)\/(b**(-2\/39)\/(b*b**(3\/5))) assuming b is positive.\nAnswer: b**(-331\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**3 - 6*w**2 + 7*w - 1. Give q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3030132233 (base 4) to base 7\nAnswer: -10055561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 15, -5*x - 155 = -4*z - 4*x. Let n = z + -36. Calculate the smallest common multiple of 38 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**2 + 35*m**2 + 267 - 17*m**2.\nAnswer: -2*m**2 + 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44215584 divided by -3463.\nAnswer: 12768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*j - 106 + 98 - 66*j.\nAnswer: -189*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 7147891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79355 is divided by 13215?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1\/5, -1377 in increasing order.\nAnswer: -1377, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12 = k + 2, y + k = 2. Let p = 3 - 3. Let s be 0\/(3 + -2 - p). Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -951.\nAnswer: 190.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 443*n. Let s(g) = g**2. Calculate f(s(u)).\nAnswer: 443*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 15. Give d(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -57. What are the prime factors of (2*1443\/r)\/(-1)?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 - 22*x**2 + 9*x**2)*(x + 3 - 3) - 7*x**3 + x**3 + 2*x**3.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5 - 2 - 3*j - 4*j - 1. Let u be l(-1). Solve -2*k**2 + 10*k**5 - u*k**3 - 223*k + 27*k**3 + 219*k + 26*k**4 = 0 for k.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174608 and 473936.\nAnswer: 3317552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b - 1. Let g be s(1). Let n = 90 - 55. Let a be n\/14*(-4)\/(-5). Solve 3*w - a*i = -3, 3*w - w = g*i - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18926, -38065, -57204, -76343, -95482?\n\"Answer: -19139*t + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10815272, 43261069, 97337398, 173044259, 270381652?\n\"Answer: 10815266*q**2 - q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 24 = 3*h - 2, -4*h + 2*o = 0. Let z be (5 - 207\/45)\/(8\/(-5)). Is z < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547008 divided by -3256?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 152\/2 + 27\/((-729)\/135). Solve q = 6*y + 29 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2 - 3. Let f(b) be the first derivative of -3*b**2 + 3. What is f(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f, -7*i - 3005 = -2*i - 3*f. Let l = i - -1040. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -21. Let a(f) = 20*f**3 - 17*f**2 - 17*f + 2. Let w(m) = -7*m**3 + 6*m**2 + 6*m - 1. Let r(y) = q*w(y) + 6*a(y). Differentiate r(t) wrt t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -g - 1 + 7, -3*q = -5*g + 70. What is the lowest common multiple of 2\/(-4) + (-33)\/(-6) and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((-2*sqrt(1377))**2 + sqrt(1377) + sqrt(1377)) - (sqrt(153) - (sqrt(153)*-4 - sqrt(153) - sqrt(153)))\/sqrt(9)) + 2.\nAnswer: -5506 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74376, -297514, -669434, -1190148, -1859668, -2678006?\nAnswer: -3645174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*z + 223*z - 176*z in the form o + b*z and give b.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**7\/z)\/z**(2\/13))**(-47))**(5\/7) assuming z is positive.\nAnswer: z**(-17860\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 2*p - 8*p + 12*p - 6*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50845*r + 50956*r - 11766 for r.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.098215447 to 4 decimal places.\nAnswer: 0.0982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5199, 20634, 46307, 82212, 128343, 184694, 251259, 328032?\nAnswer: 415007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20612103 - 0?\nAnswer: -20612103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((260\/(-255))\/52).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 969 and -20.728.\nAnswer: -20085.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 + -2. Suppose 84 - 37 = 185*s - 138. What is the closest to s in c, 2, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*b + 22*b + 5*b as c + z*b and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/6*-3 - 3. Suppose 2*r - q*c + 2 = 0, 0*c = 4*r + c - 21. Solve 0 = 4*h - 0*h + 5*n - 36, -r*h + 28 = 3*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18\/7)\/c)\/(c\/((c\/(c\/c**(-1\/9)))\/c)) assuming c is positive.\nAnswer: c**(-358\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 4, 0, 8 in decreasing order.\nAnswer: 8, 4, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from qssqsssq.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-11 + 3 + 3 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1186364434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3487*o**3 + 5*o**2 - 1969*o - 12. Let b(a) = -3486*a**3 - 7*a**2 + 1969*a + 16. Let q(u) = 3*b(u) + 4*j(u). Find the second derivative of q(p) wrt p.\nAnswer: 20940*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232 + 31?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0*-876\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, k: 4, g: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4\/119 (c) 50 (d) -1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -482, -19, 1.\nAnswer: -482, -19, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84428317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1471363568 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/3840 and -5\/1056?\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 6. What is the third derivative of -c**2 + i*c**2 - 2*c**6 + 0*c**6 + c**6 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + (6*sqrt(2736)*-2 - sqrt(2736)) - sqrt(2736).\nAnswer: -156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, 4\/5, -21\/5, -2\/5, 3 in ascending order.\nAnswer: -114, -21\/5, -2\/5, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 19. Let l = -2064 + 14451\/7. Which is smaller: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.06, -4, -3\/4, 0.1202, -5\/2?\nAnswer: 0.1202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 6, c: 1, t: 2, x: 3}. Give prob of sequence kc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212186, -2, 5 in descending order.\nAnswer: 5, -2, -212186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1875130 and 1145?\nAnswer: 429404770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1317488 and 1317487 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15*g**2 - g. Let t be f(-1). Solve -4*o + t = 4*d - 2*o, 0 = -3*d - 5*o + 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4629820 divided by -1\nAnswer: -4629820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944.8*-1.4.\nAnswer: -1322.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2. Let o(d) = -25*d**2 + 61*d + 4. Let z(b) = -2*k(b) - o(b). What is the second derivative of z(x) wrt x?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/2 - (-17)\/68*10. Let s be (0 - -27)*(2 - 1). Suppose s = r*k - 8*k. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 16 = 37*k. Solve -4*a + 2*d = -4, d + 4 = k*a + 3*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22446 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (31 - 35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -621\/7, 3\/2, -0.6, -0.4, -4, 3?\nAnswer: -621\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - x + 7, -3*y - 6 = -3*x + 2*x. Is (-485 - -18)*y\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 2*y + 5*v, 104*y + 5*v + 33 = 103*y. Let g be (-8)\/(0 - 2 - 0). Which is the third biggest value? (a) g (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -276100 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (12 - 6) + 0 + -15 + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 39097*x**3 - 19377*x**3 - 2*x**2 - 19422*x**3.\nAnswer: 298*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-675)\/18*(-8)\/(-6). Let d be -10*(-5)\/g*4. Let b be 42\/20 + d - -2. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - n**2. Let f(r) = 5*r**3 - 3*r**2. Suppose 2 = a - 1, 6 = -d + 2*a. Suppose 18 = 2*o - 4*j, -o + d*j = -5*j - 18. Calculate o*k(m) - f(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*z**2 - 24*z**6 - z - 27*z**6 + 4*z + 40*z**5 - 9*z**5 + 57*z**6 wrt z.\nAnswer: 720*z**3 + 1860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 931\/65, -2, 0.4, 0 in ascending order.\nAnswer: -2, -1, 0, 0.4, 931\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 54157556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 519, 19660, 71607, 172764, 339535?\nAnswer: 588324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 12, w: 7}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from anhlhlhfla?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6394 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**8\/23520 - q**7\/1764 + q**6\/630 + 7*q**4\/12 + 12*q**2 - q. Let y(c) be the second derivative of i(c). Factor y(a).\nAnswer: 2*a*(a - 4)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -11 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {p: 2, u: 4, d: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2664 - 1488. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(28\/3)\/h*h**(-2\/9)*(((h*h\/h**(-12))\/h)\/h)**9)**(9\/4) assuming h is positive.\nAnswer: h**(1045\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/78309 and 73\/59664?\nAnswer: 1252944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-3)*12\/8. Suppose 0 = -3*o + 3*l + 2*l + 58, u*o - 70 = 3*l. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 464 = 186*c - 993. Calculate the remainder when 105 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*b**2 + 63*b**2 - 28*b**2 + 25*b - 20*b**2 - 20.\nAnswer: -5*(b - 4)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 + -157 + (-19 - 20)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/20*((-15 - -14) + -75)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/3 - 25*f**3\/6 + 29*f**2\/2 - 13436*f. Determine l(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 18 = -b, 0*b = 2*b - 5*n - 38. Let v = -89 - -159. Let x = v - 28. Calculate the greatest common factor of b and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 3. Let l be (-4)\/(-3) - 2\/(-3). Let y be (7 + -11)\/(l*1). Calculate f(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1294529, -1294561, -1294609, -1294667, -1294729, -1294789, -1294841?\nAnswer: -1294879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8 - (-138)\/56?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25637843 a multiple of 847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*n + 6578 = 129*n for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f - 1\/2*f**2 - 3. Let k be ((-42)\/35)\/(1\/5). Let s(t) = t**2 + 6*t - 5. What is k*g(z) - s(z)?\nAnswer: -z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.43 - -2.33. Which is the fourth biggest value? (a) -3\/4 (b) 5 (c) -5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 6*w + j, 6*j + 4 = 2*j. Calculate the remainder when 168 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.63 + 1.33. Let v = y - 1.18. Round v to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(-4*s + 4*s - 2*s**2) + 1040563 + 33*s + 82*s**2 - 1040563 in the form l*s + o*s**2 + m and give o.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 3:35 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-17)\/y*y)\/(y**(-5)\/y))\/(y\/y**(5\/4))**(-21))**36 assuming y is positive.\nAnswer: y**(-585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 - 972*n - 7041. What is y(-154)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r + 11. Let o(y) = -y + 1. Let a(g) = 22*o(g) - 2*q(g). Let f(j) be the second derivative of 10*j**4\/3 + 49*j + 1. Calculate a(f(u)).\nAnswer: -160*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2428138 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33001043 - -3?\nAnswer: 33001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21.284766 hours?\nAnswer: 0.88686525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -570 (base 14) to base 11.\nAnswer: -8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -3, 2\/43, -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - 5 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*v**2 + 2*v - 3*v - 99*v**2 - 5*v**3 + 213*v**2 - 4 to b*v + g + i*v**3 + q*v**2 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.88347 centuries in years?\nAnswer: 7088.347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2004 - 505. Suppose 5*y - h = 726. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04213611148 rounded to four dps?\nAnswer: 0.0421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571 = 177*n - 1810. Let s(j) be the first derivative of -n + 0*j + 27\/25*j**5 + j**3 - 12\/5*j**4 + 3\/5*j**2. Factor s(u).\nAnswer: 3*u*(u - 1)**2*(9*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -6)*-1 - -19. Let p be (-4 - -3)*(-4)\/((-12)\/n). Let v be 2 - 1 - (-20)\/p. What is the biggest value in v, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 139 = -131. Suppose -4*r - 7 = -5*v + 2*v, v = 5*r + 6. Sort -66, v, y in decreasing order.\nAnswer: v, y, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*f**3 - 30*f**3 - 43*f**4 - 3*f + f to the form w*f**2 + c*f**3 + r + v*f**4 + u*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 9*j - 3. Let w be o(-5). Suppose 0 = -5*i + 2*k + 7 - w, 4*i - 2 = 2*k. Let s(y) = 0*y - 1386*y**2 - 5*y - i + 1387*y**2. Give s(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**5 - 3435*i**4 - 545520*i**3 + 15244640*i**2 - 105945600*i + 91249920 = 0.\nAnswer: -356, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22314 and 252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 c when four letters picked without replacement from cciccccc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1679254 and 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -94*z - 102*z + 1552320. Calculate the highest common divisor of z and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43665?\nAnswer: 3, 5, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/15, 5\/4, -1900\/91, -1\/5, -1\/3, 0.07, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 74 (b) 4\/7 (c) 6\/13 (d) 1\/13 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 18 + 18 + -50?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -15\/4, 3, -0.27599, 5, 7\/2?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2172 and 13\/531?\nAnswer: 384444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -461 + 457. Which is the nearest to -0.4? (a) -0.32 (b) -0.3 (c) z (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*r - 1366, 19*r - 14*r - 3443 = -4*w. What are the prime factors of r?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d - 6, 0 = 4*t - 4*d - 11944. Suppose 9*a - t = 2*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 2219, 5250, 9493, 14948, 21615, 29494?\nAnswer: 38585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 534280180 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -183*q**4\/4 + q**3\/3 - 7*q**2\/2 + 259. Find the third derivative of y(s) wrt s.\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -11*a**3\/6 - a**2 + 6*a. Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 5047.\nAnswer: 1514.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -6.7, -0.1 in ascending order.\nAnswer: -6.7, -3\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 246\/11 (b) -2 (c) 0.5 (d) -1\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27544701*h - 27544701*h - 4*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 910992.9 millennia in months?\nAnswer: 10931914800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 48 = 3*w. Let n(p) = -p + 14. Let b be n(w). Let m(i) be the first derivative of 2*i**3\/3 + i**2\/2 - i - 1. What is m(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 596.3584ml to litres.\nAnswer: 0.5963584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*x - 90366 + 90877 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24001958611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -51714.6 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735*v - 78*v**3 - 239*v - 217*v - 152*v**3 - 279*v.\nAnswer: -230*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p = -4*f + 86, 0 = -46*f + 5*p - 143 + 455 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4303642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 382.288453 rounded to one dp?\nAnswer: 382.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -232*d - 4747. What is the remainder when 1998 is divided by b(-21)?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15269884 and 48146.\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -155 in -66, 0.2, -1\/3, 3\/8?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 4*q - 7, 4*c - 20*q - 4 = -24*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 1. Let s(i) = -i - 3. Let g(n) = n + 2. Let z(v) = g(v) - s(v). What is 10*m(x) - 2*z(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 2 - 8\/(-12). Let u = -17.98 - -18. Sort h, -2\/11, u in descending order.\nAnswer: u, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72061.94 millimeters in micrometers?\nAnswer: 72061940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 778223*n + 1. Let a(r) = -2*r - 70. What is y(a(z))?\nAnswer: -1556446*z - 54475609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2)*n*n*n)**(11\/6)\/(n*n\/n**(1\/14)*n*n*n*n**(1\/5)))\/(n**(-4)\/n**(-2\/15)*n*n*n\/n**(-2)*n\/(n**(-2\/25)*n)) assuming n is positive.\nAnswer: n**(-2809\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 197803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00965803 to 5 dps.\nAnswer: 0.00966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**2 - 9. Calculate t(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*-2)\/(((-6)\/(-8))\/(5401\/(-1964)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - g + 4181 = -0*z, -2*g = 4*z - 16724. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/91 and 27\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6690 and 90.\nAnswer: 20070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (850\/(-935))\/((-8)\/(-22))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Suppose t = -5*q - 5*k + 455, 6*k - 276 = -3*q + 2*k. Is 44 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3225960?\nAnswer: 2, 3, 5, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-6))\/(6\/80). Let m be t\/70 + 89\/7. What is the third derivative of -4 + 4 + 3*d**2 + m*d**5 - 14*d**2 wrt d?\nAnswer: 780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**2 - d**2 + 0*d**2)*(4439*d - 1483*d - 1466*d + 28946*d**2 - 1490*d) as u*d + l*d**4 + c*d**3 + j*d**2 + g and give l.\nAnswer: 57892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/3108 and 13\/142450?\nAnswer: 854700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:05 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/3 + 577*p**4\/3 + 10757*p**3\/3 - 27821*p**2\/3 - 85600*p\/3 - 47600\/3 = 0. Calculate p.\nAnswer: -20, -1, 4, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 0.48 in ascending order.\nAnswer: -11, 0.48, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 359*n**2 - 365*n**2 + 4.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 7*o + 18. Let k(q) = -3*q**2 + 4*q**2 - 36 + 5*q**2 + 2*q**2 - 4*q**2 - 13*q. Calculate -6*k(n) - 11*z(n).\nAnswer: -2*n**2 + n + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5))**0\/(q*q*(q**(-9)*q)\/q*q)**43 assuming q is positive.\nAnswer: q**258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.64, 5, 0.4, -3 in descending order.\nAnswer: 5, 0.64, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4650678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55815169?\nAnswer: 29, 1924661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6784153 and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 31 + 227*d - 2491*d.\nAnswer: -2264*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*x + 4*x + 48 + 7*x)*(6*x - x - 4*x) to the form s + p*x**2 + k*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i**2 - 37*i**2 + 35*i**2 - 191 + i**3 - 3*i**3 to the form z*i**3 + d + y*i + u*i**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 2. Let y(j) be the first derivative of j**4\/4 + 2*j**3\/3 - 2*j**2 - j + 3. What is y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576058 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/24 - 17*w**3\/6 - 139*w**2\/2 - 122*w. Let i(b) be the first derivative of z(b). Give i(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 695310 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/1)\/(-20 + (-1818)\/(-90)) - -3680 is divided by 100?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78057?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -10.5. Let c = j + -10. Suppose l - 4*l = 0. Put c, -4, l in decreasing order.\nAnswer: l, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 6) + (4 - 20 - -25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**4*u**2 - 366*l**3*u - 2*l**3 - l*u**2 - 2*l + 10830 wrt l.\nAnswer: 12*l**2*u**2 - 2196*l*u - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = -25. Factor -3 - 3*f**5 + 2*f**x + f**3 + 3.\nAnswer: -f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 15*t + 16. Let o be u(-14). What is the second derivative of -14*l + 4*l**o - 3*l - 19*l**2 wrt l?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*4\/(-10)*-10. Let h(a) = -6*a - 6. Let o(f) = -13*f - 12. Let m(s) = 5*h(s) - 2*o(s). Is 5 a factor of m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2524 divide 402583048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/((-2)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 - 4*d**2 - 51*d**2 + 13*d**2 + 4*d**2 + 26*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4440*y + 4434*y + 120 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6332, 12662, 18992, 25322?\nAnswer: 31652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27612, 27712, 27812, 27912, 28012?\nAnswer: 28112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 4*v**2 + v. Let c be 3\/18 - (-1)\/(-6). Let q(z) = -z + 11. Calculate the remainder when q(c) is divided by n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/25 and -37\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15562, 124535, 420326, 996343, 1945994?\nAnswer: 3362687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -5, 2, 5.\nAnswer: -53, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217366.\nAnswer: 2, 251, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51586.\nAnswer: 2, 25793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 49*m**6\/120 - 5*m**3\/6 + m**2 + 9*m. What is the derivative of v(g) wrt g?\nAnswer: 147*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79437515.\nAnswer: 5, 17, 23, 179, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:07 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 9. Let j be w(-7). Let h be 0*((-15)\/6 + j). Is (0 + 13)*(h - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 1. Let x(o) = 12*o - 2. Give 8*f(w) + x(w).\nAnswer: 4*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -121 + 121 - 3*i**2. Let v(g) = -4*g**2 + 6*g - 6. Let z(a) = a**2 - a + 1. Let f(m) = v(m) + 6*z(m). Give f(j(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6372970 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -363306 less than -1?\nAnswer: 363305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 6510*y - 97200.\nAnswer: -2*(y - 3240)*(y - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 0, -2*z + 7*z = -4*o + 345. Calculate the remainder when 146 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/17)\/((w\/w**(-44))\/w) assuming w is positive.\nAnswer: w**(-746\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - h - 2*h**2 - h**2 in the form o*h**2 + a*h + r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 989 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.86 - 0.76. Let r = -0.09 + 0.29. Let k = r - 0.1. Is b <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6588 divided by 4\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*w + 36, 58 + 52 = -4*d + w. Let b = -8 - d. Suppose -4*t = t - b. Solve 0*v = t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 + -10 + (-4644)\/(-63). Solve -t = -10*c - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u + 33. Let q be k(6). Let f be (-106)\/q + 42\/189. What is the highest common factor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 22 = -5*r, r + 5*j = -2*r. Calculate the remainder when r is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 16*w - 130 = 14*w, 2*w = 5*s - 110. Calculate the greatest common divisor of s and 1272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3969 and 11745153?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1999 or -1990?\nAnswer: -1990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4 + -4)*2. Let u(p) = -p**3 + 5*p**2 - 7*p - 6. Let r(o) = 5*o**3 - 20*o**2 + 29*o + 24. Let k(i) = m*u(i) - 2*r(i). What is k(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6578 + 215.4\nAnswer: -6362.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**2*n + 2*g**2 - 2382*g*n + 83088*g - n wrt n.\nAnswer: -g**2 - 2382*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*u + 6, -b - 2*u + 0 = 3. Suppose 0 = -2*c + b*r + 25, 4*c + 2*r = -0*r + 10. Solve -3*j + 6 = -c*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5873329*l**3*o + l**2*o + 33*l**2 + o + 13319 wrt l.\nAnswer: -35239974*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 350 + 74 + 208 + c**2.\nAnswer: c**2 + 2*c + 632","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8 - 8*n + 2*n**3 - 9*n**3 + 6*n**3 - 8*n**2. Give s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 124*x - 600 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l**2\/7 - 9756*l\/7 - 9750\/7 = 0. What is l?\nAnswer: -1625, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -182.05, 4 in descending order.\nAnswer: 4, 0.6, -182.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2582*f**6*i**2 + 83*f**3*i**2 + 3*f**2 + 2*i**2 - 39039 wrt f?\nAnswer: 309840*f**3*i**2 + 498*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.019 - 3.281. Round v to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1111010111?\nAnswer: -1111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 2*k**2 + 35 - 16*k in the form t*k + j*k**2 + m and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -30.1 (b) -0.4 (c) 4 (d) -28.54 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*c + 20*c = 52*c. Is 2\/14561 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 7.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2241138860 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) - (-2)\/(-8). Let w = -15 - -16.7. Let j = -1.5 + w. Which is the nearest to v? (a) j (b) -3\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 2 s when four letters picked without replacement from hasghgsshsas.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 3*u - 1. Let t(x) = x. Let y(q) = -j(q) + 5*t(q). Suppose 3*m = -29 + 23. What is y(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763.72401 rounded to the nearest 10?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085929468 to the power of 1\/2, to the nearest integer?\nAnswer: 32953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**3 - 6*g**2 + 7*g + 2. Suppose 57 = 328*w - 330*w - 5*l, 5*w + 83 = -4*l. Let b(x) = -17*x**3 + 17*x**2 - 21*x - 6. Calculate w*n(r) - 4*b(r).\nAnswer: 2*r**3 - 2*r**2 + 7*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1215\/(-10))\/27*-3*4\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 1. Let g(i) = -i - 1. Determine -6*b(p) - 5*g(p).\nAnswer: -7*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344157?\nAnswer: 3, 11, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*f - 3 + (f + 0*f - 3*f)*(4 + 0 - 2))*(28*f + 70*f + 100*f) - 4*f**2 + f**2 + f**2.\nAnswer: -1388*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128573 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 22*q**3 + 2*q + 12*q**2 - 3*q**4 - 30*q**3 - 5*q - 3*q as o*q**3 + l + i*q**4 + h*q**2 + k*q and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.663 + 0.082?\nAnswer: 1.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 3*m - 5. Let o(x) = -2*x**3 + 7*x - 11. Suppose 0 = 124*a - 128*a - 16. Give a*o(q) + 9*c(q).\nAnswer: -q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -5\/7, -0.3, -26\/5, 1 in ascending order.\nAnswer: -26\/5, -5\/7, -0.3, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/z*z)\/z)\/(z\/(z*z*z\/z**7))*(z*z**(1\/3)*z)**(-1\/30) assuming z is positive.\nAnswer: z**(-1087\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (11 - 4) - 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6942)\/(-18) - -2*(-4)\/(-24).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g - 101. Let m be t(11). Calculate the least common multiple of 5 + (-4)\/(m - 0) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(-2*w + w - w + w + 3*w - 2*w + (-w - 2 + 2)*(-2 + 2 + 1) + 0 + 0 - 9*w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 327198, -3, 3, -5 in descending order.\nAnswer: 327198, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -428*t. Let h(k) = 86*k. Determine 16*h(u) + 3*p(u).\nAnswer: 92*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8342 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -799 - -799. Let u be (-56)\/26 + (-4)\/(-26). Which is the closest to z? (a) u (b) -2\/15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 1\/4, -2\/17, -2\/7, 114548?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 142, -11, 4\/5, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 482902447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 48 + 0 = 0. Solve -b - 1 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) 2\/9 (c) 4 (d) -2 (e) 771.99\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 1 - (-50)\/(-15). Let r = -25 + 49\/2. Which is the second biggest value? (a) q (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 405, 398, 389, 378, 365, 350?\n\"Answer: -j**2 - 4*j + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -6. Let v = -3300\/13 + 254. Which is the nearest to -1? (a) 0.3 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 23*u - 39. Let d(c) = -c**2 - 14*c + 15. Let i be d(-15). Let v be h(i). Is v less than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -p + 4*k + 10, k = 0. Let i = p + -7. Let r be 0*(-2 + i\/6). Sort r, -2, 1 in increasing order.\nAnswer: -2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6)\/(((-3120)\/26)\/24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - z - 6, z + 25 = 4*s + 15. Let t be (-4)\/(-6) + 42\/18. Solve t*c - 13 = -s*v, 0*c + 24 = 4*v + 4*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 44*p = -45*p + 267 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-4 + 0 - 3) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 938 = 18142. Let y(r) = 1908 - 7*r**2 - 82*r**2 - l. Let i(k) = -2*k. Determine i(y(p)).\nAnswer: 178*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 80*u + 2374. Let c be p(-103). Put 6, 1, 17, c in increasing order.\nAnswer: 1, c, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -322\/5 and -63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 21 + 36 - 20*c to r + s*c and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + 27 = -3*f, 25 = 3*n + 5*f. Calculate the highest common factor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25921264?\nAnswer: 2, 151, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10106 - 453?\nAnswer: 9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/3? (a) -5\/243 (b) 2\/5 (c) 2 (d) 10 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(8136\/(-480) + 17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*1 + (20 - 20). Suppose 7*o + 4 = d*o. Let l be (-9)\/18 + 75\/142. Is o != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:53 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.029 and 1652.\nAnswer: 1651.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*sqrt(76)\/sqrt(4) + sqrt(190)\/(sqrt(10) - sqrt(90)))**2.\nAnswer: 15*sqrt(19) + 511\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-238)\/(-8))\/((-175)\/70))\/(40\/(-400))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a. Let x(r) = -163 + 163 - 8*r - r. What is x(t(b))?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from vfrfvvfrffrfry.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 3*j**2 - 2*j + 2. Let r = 6 - -12. Suppose -y - r = -19. Let m be y + 1 - (-13 - -12). What is l(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s + 2*s**5 + (-14*s**5 + 11*s**4 - 11*s**4)*(-3 + 5 - 1) + (-4*s**3 + 3*s**3 - 3*s**3)*(-9*s**2 + 0*s**2 + 24*s**2).\nAnswer: -72*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 21*c**2 - 3*c + 9. Suppose -3*z + 46*y - 43*y - 21 = 0, -5*y = 3*z + 37. Is d(z) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-65)\/(-2))\/(-13))\/(2\/564*-3). Let t(x) = 4*x**3 - 2*x**2 + 2*x + 3. Let k be t(4). What is the third derivative of -k + c + 10*u**2 - 7*u**3 wrt u?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 11:10 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 + -83. Let p(o) = o + 67. Let a be p(0). Let 71 + 8*v**4 - 4*v**2 + a - 138 - 4*v**w = 0. Calculate v.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1 - l**3 - 2 - l**2 + 1 + 2*l. Let a be g(-2). Solve a = -2*k - 2 - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41700 (base 13) in base 6?\nAnswer: -2304320","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/2)\/(3\/(-4)). Solve 3*s - s + n = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/12 - (-163)\/(-4). Let u = z + 71. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/18)\/(l**(-1\/4)*l))\/((l*l**(2\/9))\/(l\/(l**(-19)*l))) assuming l is positive.\nAnswer: l**(611\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y + 37*y = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -34*u - 207 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -394099.07 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11359, 22768, 34177?\n\"Answer: 11409*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 470\/9 - 8\/36. Let m = 54 - w. Solve 0 = r - m*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752 + 1544 = -24*b for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**4\/12 - k**3\/2 - 128*k. Let u be l(-3). Solve 28 = -u*x + 7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78967856 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - -436. Let k(c) = 243*c - 43. Let x be k(2). Suppose -4*r + x = -s. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 832, 310, -602, -1904, -3596, -5678, -8150?\nAnswer: -11012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {z: 2, m: 5, e: 7}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4\/11 - 10*w**3\/11 + 52*w**2\/11 + 178*w\/11 + 120\/11 = 0. Calculate w.\nAnswer: -3, -5\/2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 57, 223, 499, 885, 1381?\n\"Answer: 55*b**2 + b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3255 - 2556503?\nAnswer: -2553215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -1)*10\/6. Suppose -w - v = -12, -3*v + 4*v = f*w - 84. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-3866)\/(-24)*1. Suppose 272 + 355 = -4*h - 3*g, -3*h = -4*g + 489. Let v = h + y. Which is the biggest value? (a) 0 (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -62*w + 21. Let l be v(-9). Suppose l = 4*a - q, a + 5*q = -0*a + 129. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*h - 7056 = 415 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -i + 45, -5*i = -157187*u + 157184*u + 5 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000241 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331450.\nAnswer: 2, 5, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -284 - -302. Put j, 79, -2 in decreasing order.\nAnswer: 79, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1815716214 rounded to 5 dps?\nAnswer: 0.18157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1\/3, 0, -13, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, -5, 318, 5, 0 in decreasing order.\nAnswer: 318, 5, 0, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p + 2 = 4*f, 7 = 5*f - 4*p. Suppose -f = -2*j + 5. Suppose -i - 18 = -j*w + 37, -2*w = -4*i - 38. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-2)\/4*-5. Let f(n) = -2 - 1 - x*n - 2 + n**2. Let m be f(6). Which is greater: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by -1749176.\nAnswer: 21\/437294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-764)\/191*(-1)\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-20)\/30 - (-2 + (-6 - 83752\/6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = -9. Suppose 2*i = k*h - 70, -h + 4*i = -2*h + 14. Solve -c - 4*x = 3*c - 24, h = 3*c + x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127877134 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 3. Let k(a) = -a**2 - 12*a - 16. Let q be k(-4). What is the tens digit of q + -2 + i\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 168201a + 5?\nAnswer: 1682023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -359, -760, -1161, -1562?\n\"Answer: -401*d + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*l - 72 = 2*o, 2*o - 5*l - 48 = 0. Let h = -6 + o. Let c(q) = h - 18 - 9*q. Let a(x) = -2*x. Determine a(c(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = -3. Suppose 2*q = 6*q - 8. Suppose m*b - 33 = -3*h + 6*b, q*b = -2*h + 26. Calculate the remainder when 35 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000473865 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1127 plus -1907.1?\nAnswer: -3034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - -17. Let p = 14 + 4. Is 4 a factor of j\/9 - (-4)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) -3\/7 (b) 4\/51 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -672*n + 701*n + 2054*n - 34*n + 1808*n as s + i*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by -2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 280 - 280.476. Round o to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 9 + (10 - 14) + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -11, -56, -139, -272?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-4752))\/(730\/584).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170816 + -114218. What are the prime factors of o?\nAnswer: 2, 3, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4134 by 3.\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6711014 to the nearest 10000.\nAnswer: -6710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l - 5. Give k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8101?\nAnswer: 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5311 - 5339.17. Let z = d + 28. Let w = -0.27 - z. What is the nearest to w in 0.4, 2\/85, 1?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52\/225 + 2\/225. Let h = 399.641 + -473.641. Which is the fourth smallest value? (a) j (b) -3 (c) h (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5923*y - 5893*y + 18175*y - 38086 = 6085*y for y.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 58*j + 432. Let g be p(-36). Which is smaller: g or -35?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16476414491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**6\/360 + 7*u**5\/120 - u**4\/8 - 2*u**3\/3 - u. Let z(n) be the second derivative of g(n). Give z(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, 35 in descending order.\nAnswer: 35, 13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -111672, -223340, -335006, -446670, -558332?\n\"Answer: z**2 - 111671*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) + 2\/(-6). Let o = 4 + v. Let m be (3 - 3) + 1*2. Is o at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**3 - 7*w**2 - 118. Let b(c) = -4*c**3 - 4*c**2 - 59. Let o(y) = 5*b(y) - 3*g(y). Is o(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 + 34. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1155332689 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcpnppppppinnppidpid. What is prob of sequence ci?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 25 = 3*a. Let w(m) = -3*m - a + m - 3*m**2 - 3*m. Let l(s) = s**2 + 2*s + 5. Let j(q) = 17*l(q) + 6*w(q). Determine j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -6. Suppose 11 = 3*t + 4*a - y*a, 3*a = -t - 13. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2437*w**2 + 2437*w**2 + 23*w**3.\nAnswer: 23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, d: 2, o: 4}. What is prob of picking 1 p and 2 o?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 0?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + (-556)\/12. Let z = -32 - f. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -3*f - 2*x, -2*x + 194015 = 4*f + 194101 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212955 + z - z + 424326 - 211371 + 5*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9*q + 11*q - 12 = 0, -2*r + 22 = -3*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05782 + -0.35782. Sort i, 11, 0.02, -0.5.\nAnswer: -0.5, i, 0.02, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18425.3986 - 18427. Let z = -60 + 61.6. Let s = w + z. Round s to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:22 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49623 + 105700. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o + 17. Determine r(-15).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102 or 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16742 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 2, o: 1, l: 2, z: 2}. What is prob of picking 1 y, 1 z, and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-6*-2*sqrt(121) + sqrt(121))*6)\/(sqrt(66)\/(sqrt(294)*-1)))**2.\nAnswer: 3279275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5730*b**3 + 5702*b**3 + 28*b**2 + 79 - 97 - 24*b wrt b.\nAnswer: -168*b + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503354, 2013413, 4530178, 8053649, 12583826, 18120709?\nAnswer: 24664298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k - 3. Let f be j(-5). Let r be (14\/(-21))\/(2\/(-165)). What is the highest common divisor of f and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {m: 3, u: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/98124 and -41\/3774.\nAnswer: 98124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -104531512?\nAnswer: -104531505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*s - 9, 4*s + 46 = 4*z + 2. Let a be 2 + -2 + z + -3. Solve 0 = -3*g + a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11266, -12981, -14720, -16495, -18318, -20201, -22156?\nAnswer: -24195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {l: 1, t: 1, r: 1, i: 3, n: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 50 = -35. Let f = 52 + g. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6)\/(-21))\/(32\/222880)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypyyyyyyyyppyyypyyp. Give prob of picking 2 y.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -10601526.\nAnswer: 1\/3533842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -113026*s**3 - 30260.\nAnswer: -339078*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*t**2 + 24*t**2 + 37*t**2)*(2*t**2 - 2*t**2 + t**2) to the form z*t**3 + b*t + l*t**2 + r + k*t**4 and give k.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*d + 12*d, -5*p = 3*d - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/103 - 6169\/31209. Is d equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21102 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/((95\/(-60))\/19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 84. Let w be (35\/(-5) - -7)*1\/b. Is w less than or equal to -1\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*z - 18 = -153*z. Calculate the greatest common divisor of z and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 720 = -5*l. Let j = -974 - -1054. Calculate the greatest common divisor of l and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9222242 != -9222244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/2 - 137532*a - 1375270 = 0. What is a?\nAnswer: -275054, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(900) + -2*sqrt(900) - sqrt(900))*-4 + sqrt(900))\/(sqrt(588) + sqrt(588)*-1 + (sqrt(24)\/sqrt(2) + sqrt(12))*2).\nAnswer: 135*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q + 8*q - 6*q**2 - q - 2*q**2 + (-4 + 2 + 0)*(5*q**2 - 2*q**2 + 0*q**2) - 2*q + 2*q - q**2 in the form w*q**2 + v + b*q and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 2 - 5\/1. Suppose 19 - 1 = o. Let j = o + k. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1277100 divided by 21285.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 500, -3, -5, -4, 1.\nAnswer: -5, -4, -3, 1, 32, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-2*c - c**2 + 2*c) + 13*c**2 + 21*c**2 - 26*c**2 + 128*c**2 - 14*c**2 - 8*c**2.\nAnswer: 113*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**2*y**3 + 5*t**2*y**2 - 8*t**2 + 10*t - 149*y**3 wrt t?\nAnswer: -6*y**3 + 10*y**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = v - 22. Which is bigger: v or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -99*g + 1791. Give h(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -12. Solve 3*t**3 - 6 + 4*t**4 - r*t + 0*t**4 - 9*t**2 - t**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 53 + 23. Let r(g) = 132*g - 10. Let k be r(q). Let n = k + -1635. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*g = -249 - 335 - 2521 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -22*z**4\/5 + 27112914*z**3\/5 + 320427676*z**2\/5 + 916918392*z\/5 - 177468048\/5 = 0.\nAnswer: -6, 2\/11, 1232417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 374 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*z + 8639 - 3099 = 22944 for z.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 319925852 to the power of 1\/2, to the nearest integer?\nAnswer: 17886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3 - 30*d**2 + 97*d - 66 = 0. Calculate d.\nAnswer: -33, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2520 - 2230. Does 30 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v + 391 + 42 + v**2 - 433.\nAnswer: v**2 + 44*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10386.\nAnswer: 5\/10386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a238 (base 13) in base 4?\nAnswer: 10203112030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10030 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11240 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88184857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*m + 2096*m + 2328*m.\nAnswer: 3929*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-35))\/(1\/14). Suppose 2*m = -r*s - 12799980, 5*m + 0*m - 4*s = -32000020. Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60823101, 60823096, 60823091, 60823086, 60823081, 60823076?\nAnswer: 60823071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 212.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*z + 3*p, 6*p + 0 + 13 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 8)*(1 + 2). What is the tens digit of ((-4)\/(-10))\/(1\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/9))**(-26)*(n**30\/n)\/(n\/(n*n**24)) assuming n is positive.\nAnswer: n**(347\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*g**2*s**3 - 13*g**2*s**2 + 2*g**2 + 8*g + 141*s**3 - 8 wrt s.\nAnswer: 198*g**2 + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1196\/(-28) - (-4)\/(-14). Let c = v - -90. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 - 2*o**2 - 58*o - 345. What is s(-6)?\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52040 and 650500?\nAnswer: 1301000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**6\/120 + j**5\/20 + 13*j**4\/24 - 14*j**3\/3 - 35*j**2. Calculate the remainder when 60 is divided by k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -11. Suppose 2*i + i = -9, 55 = -c*q + i. Let g = 67 + q. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -67*p**2 + 935*p - 80. Give r(14).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -13*b**3\/6 + b**2\/2 - b. Is w(-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 47. Let y be m(22). Suppose 5 = y*d - 7. Solve -4 = -4*s - d*h, 4*s + 3*h + 2 = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -131\/4. Let f = 82 - 896\/11. Which is the closest to -1\/3? (a) f (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-55)*570\/(-342)*(-2)\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*d + 30, 0 = 2*d - 3*c - 1243 + 1242 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 4*n**2 + 4*n. Let l be t(-5). Suppose -5*q + l*g = 63 - 2498, 2*q - 976 = 3*g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -4*w - 0*w - 5*z, -4*w - 7*z = -5*z + 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwwqdqqqwwq. What is prob of sequence dj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*(sqrt(432) + 3) - sqrt(432)) + -5 + 2 + 3)**2.\nAnswer: 1344*sqrt(3) + 7108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -8 - -5 - (-94 - (-4 + 2))) + -2.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s**2 + 2\/9*s - 2\/9*s**3 + 0 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(8) - sqrt(8)) + -1)*-1 + -1 + (sqrt(64)\/sqrt(2) - sqrt(2)) + 2.\nAnswer: 4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001582037001 to 6 decimal places.\nAnswer: -0.001582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 43*x**2 + 44*x + 4. Let u be p(-44). Suppose 0 = -8*c + 3*c + u*o + 3240, -o + 3215 = 5*c. List the prime factors of c.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8729 is divided by 236?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3\/2 - 6175*s. Let j(w) = 12*w + 3. Determine j(k(l)).\nAnswer: 36*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1872937 and 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 5*i + 4. Let r be k(5). Suppose -5*m - r*y - 37 = 0, 2*y + 2*y = -12. Let h = 2 + -5. Which is the nearest to -0.1? (a) m (b) h (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -423 - -661. Let c = s - 240. Sort 0.01, -5, c in ascending order.\nAnswer: -5, c, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**4\/2 - 555*h**3\/2 + 13125*h**2\/2 + 27935*h\/2 + 7125 = 0 for h.\nAnswer: -1, 38, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -383*y + 383*y + 16*y**2 - 2 to g + j*y**2 + d*y and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 129?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2243*h + 1119*h + 1110*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)\/o*o\/o**(-2\/9)*(o**(-1\/3)\/o)\/(o*o**0))**(-12) assuming o is positive.\nAnswer: o**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - y + 26 = 0, 6*w - 34 = 3*w + y for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**5\/15 + 93*n**2 + 2. Let p(o) = 2*o + 1 - 1. What is p(z(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 5 = 12*h. Is (-15334)\/(-77) - h\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*-81\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -24929*c - 299144. Give f(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 3*z - 0*b + 2*b, -4*z = 3*b + 279. Let v be ((z\/(-30))\/(-2))\/((-4)\/10). Solve -l + 7 = r, -v*r = -2*l + 1 - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -34 (b) -4\/7 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14730 + 4?\nAnswer: -1472b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 23*g - 31*g + 2*g**2 + 9*g**3 + 4 - 5*g**4 - g**2 + g**5.\nAnswer: (g - 2)**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**(-37))**(-2) assuming d is positive.\nAnswer: d**(-148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69.99705ml?\nAnswer: 0.06999705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((27\/(-2))\/3*(-87)\/223938*-78).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -397554\/10703 - -2\/1529. Let n = t + 37. Which is the nearest to -0.1? (a) -0.3 (b) n (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1440165 (base 7) to base 16.\nAnswer: 2f811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5890 and 380?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) -2 (c) 472290 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + -3 + sqrt(475)*-2 + sqrt(475) - 2*(sqrt(475) - (2*sqrt(475) - sqrt(475)))) + (-5*(-2*sqrt(475) - sqrt(475))*-5)**2 + -1)*-6.\nAnswer: -16031226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 110 - 8*n**3 - 110 to the form h + z*n**3 + w*n + m*n**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/303930 and -121\/12280.\nAnswer: 1215720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.02 (c) -1303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2569 != -3113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1395*p**4 - 2*p**3 + 11627*p wrt p?\nAnswer: 16740*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**2 - 4*r**2 - 2*r**2)*(-3 + 0 + 5) + (-4*r**2 + 5*r**2 - 4*r**2)*(0 + 26 - 2).\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/246 and 3 + 80\/45 + 12\/(-8)?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 14*d**2 - 9*d + 3. Let a be l(6). Suppose 0 = -t + 409 + a. Calculate the common denominator of -93\/4 and (-3)\/(-15) - t\/(-140).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 13*f - 6. Calculate u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 j, and 1 a when four letters picked without replacement from {m: 3, u: 1, a: 4, z: 3, j: 8}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 8. Let y(j) = j**2 - 8*j + 14. Let x be y(6). Suppose -o + 22 = -x*d, 4*o + 5*d = 51 - 2. What is the highest common divisor of i and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 15 - 6)*(-6*c**4 + 5*c**4 - 4*c**4).\nAnswer: 115*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 - 165190*n + 14662305 = 0. Calculate n.\nAnswer: 89, 32949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 7*q + 6*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 31\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 16.7, -17, 4, -1\/7, -3, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 74445882?\nAnswer: 74445880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -12 (c) 0.3 (d) 0.2 (e) 959 (f) -4 (g) 0.01\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:49 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8385 and 13067270?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 2.718.\nAnswer: -10.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*q - 8, -109*q + 112*q = 3*f + 6. Sort -6, f, 2, 6 in decreasing order.\nAnswer: 6, 2, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4279*c**3 + 4*c**2 + 1 - 4*c**2 - 4218*c**3 as w*c + i + m*c**2 + l*c**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-8)))\/u*u**(-9))\/(u*u*u**(2\/5))**(2\/41) assuming u is positive.\nAnswer: u**(-3714\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-7)\/(84\/8)). Factor -v**2 - 4*v**q + v**4 - 3*v + 4 + 7*v**3 - 2*v**4 - 2.\nAnswer: -(v - 2)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - (4 - -5)) + (3 - -2). Suppose -112 = -2*y - 2*y. Solve -4*t = -n*v - 30, -3*v + 3*t - y = 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37550422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*3)**2*2 + (1*sqrt(252))**2)*-1.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406274 = -22679*x - 363999 - 2019244 for x.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = a - 3*a + 64, i - 13*a = 18 - 426 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6 = 2*a. Suppose 2*q = a*q. Solve 0 = 5*s - 3*o - q + 3, 0 = -3*s - 2*o + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -242, -349, -484, -653, -862, -1117, -1424?\n\"Answer: -l**3 - 8*l**2 - 76*l - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664 + -27 - ((0 - 0) + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 42*v - 143. Let s be z(4). Suppose s = 5*a, 11*o + a = 6*o + 65. Calculate the lowest common multiple of o and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3735586902?\nAnswer: 2, 3, 17, 43, 103, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 277781373 to the nearest ten thousand.\nAnswer: 277780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119087237189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523177, -1046316, -1569455, -2092594, -2615733?\nAnswer: -3138872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121\/240 + -5\/48. Suppose 3*h = 3*w - 15, -5*w + 4*h + 5 = -17. Let f be (0 + 3)\/(21\/(-2)). Which is the nearest to w? (a) y (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa18 (base 15) to base 4.\nAnswer: 20302313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-76242)\/(-420903) + (-3 + -12 + 20 - 174\/34)\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 524760*o - 11 + 524761*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 7*m**2 + 5*m + 3. Let w(k) = -k**2 + k + 4. Let o be w(0). Let b(i) = i**2 - 3*i - 4. Let x be b(o). Suppose 5*q + x*q - 30 = 0. What is j(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1054058 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7400290*n**2 + 5*n**3 - 27 + 7400290*n**2 - 29.\nAnswer: 5*n**3 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -377279*g**3 - 48*g**2 + 5901 wrt g?\nAnswer: -2263674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10\/11))**7*(d**16*d)\/(d\/d**28) assuming d is positive.\nAnswer: d**(414\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-14))\/(134\/(-469)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajaj when four letters picked without replacement from aqjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36622962 by 4.\nAnswer: 18311481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, l: 7}. Give prob of sequence ili.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - i + 1. Let h(x) = -x**2 + 7*x - 14. Let g be h(5). Let q(w) = -5*w**2 + 2*w + 1. What is g*r(u) - q(u)?\nAnswer: u**2 + 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 2*b**2 + 1\/80*b**5 - 3 + 0*b**3 + 1\/48*b**4 + 0*b + 1\/480*b**6. Let p(z) be the second derivative of t(z). Factor p(o).\nAnswer: o*(o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1707 and 11283768.\nAnswer: 11282061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 - 6*d**2 - 81)*(0 + 1 - 2).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.45 and 100.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 8 = -2*m + 5*u, -8 = m - 2*u. Is m at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.36086 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 423 = -2*y, -11*y + 648 = -8*y + 3*z. What are the prime factors of y?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-633)\/(-422)*-6*2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5409*s**3 + 30132 wrt s?\nAnswer: 16227*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98597)\/2*1*(0 - (-4 + 6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -104903.6, -5\/18, -2\/5?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 2576.\nAnswer: -7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104\/9 + -461\/36. Let l be 3\/18*11 - 2. Which is the biggest value? (a) -5 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11))\/(-1) + (-64)\/11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.55 (b) -19 (c) 5 (d) 0.2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l**3 + l**2 + l + 1. Let j be 3\/(-9)*1*3. List the prime factors of g(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94*j**2\/13 - 1516694*j\/13 - 64540\/13.\nAnswer: -2*(j + 16135)*(47*j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12488*k**3 - 40189*k**3 + 10767*k**3.\nAnswer: -41910*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -130030032322 (base 4) to base 2\nAnswer: -11100001100001110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 22*k - 222. Give b(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4 - 22. Suppose 5*i = -10, -h*i + i = 5*w + 15. Is w\/(1 + 12\/(-11)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8248 + 11.6218. Let u = l + -9.797004097. What is u rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/9590 and 3\/1979650?\nAnswer: 13857550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(-22) - 2\/(-8). What is the third biggest value in m, -5, 3, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:33 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*l + 3*l - 4*l)*(-58*l - 57*l + 15*l) - 4*l**2 - l**2 + 4*l**2)*(-1 - 9*l**2 + 7*l**2 - 14) as y*l + s + a*l**3 + q*l**4 + u*l**2 and give q.\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7 + 15 = 0. Let c be 15\/(-25)*(-20)\/3. Suppose v*u = c*w - 144, 4*w - 2*u = -28 + 168. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 25 = 2*r, r + b + 3 = 11. Suppose d - 6*d = -r. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137 by 97796.\nAnswer: -137\/97796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from toeteeefx. Give prob of sequence eex.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 57*o**2 - 59*o**2 + 31 to the form b*o**2 + c + v*o and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 10506*i - 10509.\nAnswer: 3*(i - 1)*(i + 3503)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 2*k - 9. Give a(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 71*k + 10. Let t(d) = 4*d. Calculate t(w(o)).\nAnswer: 284*o + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1842 - 547*l - 1840 + 3681 to the form s*l + m and give s.\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98*d**4 + 37*d - 9258?\nAnswer: 392*d**3 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12647*u - 12641*u - 12648*u + 1390*u**3 - 12647*u + 50583*u.\nAnswer: 1390*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291667088?\nAnswer: 2, 1433, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -805*536\/4221 + (-7)\/9\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 43*n - m = 60*n - 20, 2*m = -4*n - 80 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r + 1. Let l(s) = -3*s - 1. Let w(u) = 2*j(u) + 3*l(u). Let k(a) = a**2. Determine k(w(i)).\nAnswer: i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 = g + 2*u, -3*u = g - 4. Let n(p) = -g - 2 + p + 1. List the prime factors of n(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/276 and 89\/276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 16 = r. Suppose 0 = 9*t - 4*t, -4*t = 4*y - r. Suppose 2*l = -8, -2 = 6*b - y*b + 3*l. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 + -137.878. Round t to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215 - -9772 - (14 + 0).\nAnswer: 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 1\/4 (c) -0.5 (d) -0.185236 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.05946m in micrometers?\nAnswer: 39059460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198155104 to the nearest integer?\nAnswer: 14077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4848, 38780, 130870, 310194, 605828, 1046848, 1662330, 2481350?\nAnswer: 3532984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 5*f**4\/6 + f**3 - 15*f**2 - f. Let g = -7 - -11. What are the prime factors of t(g)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4985 = -368*y + 336*y + 2375. Sort -3, -1, y in ascending order.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + a + a)*(-a**2 + 0 + 0) + (4*a**2 - a**2 - 2*a**2)*(2 - 2*a - 2).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 15*b + 2. Let y(v) = -4*v**2 - 31*v + 7. Let h(q) = 7*o(q) - 3*y(q). What is h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830696 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223 + -221. Solve -2*z**3 - 11*z**k + 26*z**2 - 11*z**2 = 0 for z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(4\/3)*g*g**5)\/((g*g**2\/g)\/g)**(-3\/16) assuming g is positive.\nAnswer: g**(409\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/305394926 and -53\/10.\nAnswer: 1526974630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 74*t**3 + 3*t**2 + 2*t - 2. What is b(-1)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {p: 2, c: 1, e: 1, a: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44955 + 45051 = 24*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4531 + 5024521?\nAnswer: 5033452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 2\/3, -2.1, 0.3048, 2 in decreasing order.\nAnswer: 2, 0.7, 2\/3, 0.3048, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*j = -160*j + 8706 + 1320. What is the remainder when 27 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -11 + (41 - 56)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 3*u + 6*u. Let d(k) be the third derivative of -k**8\/20160 + k**5\/60 - k**2. Let l(c) be the third derivative of d(c). Give l(w(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 6746?\nAnswer: 20238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*j - 5*a, 0 = 22*j - 592247*a + 592248*a - 47 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0.1, 7 in decreasing order.\nAnswer: 32, 7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -97.06 and -13.1.\nAnswer: -110.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 22*s - 4. Is 6 a factor of o(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.3, -256.35 in ascending order.\nAnswer: -256.35, -4\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by -3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1079 and 3186495.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 615000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35 + 50 - 23) + 0 + 11. Solve -3*c = -2*t - 18, -2*t + 6*t = h*c - 18 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3\/9 - 116*y**2\/9 = 0. Calculate y.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32144 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1122160 to the nearest ten thousand.\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 11:47 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 149, 222, 295, 368, 441?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/((-10)\/(-12)). Let t be 7\/3 - 4\/(-6). Let v be 2*(-4)\/(-24)*t. Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/2 (b) 2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2054\/9 - 26666\/117. Suppose 0 = -w + 6*w - 20, 4*y + w - 16 = 0. Suppose 4*c + y = 11. What is the third biggest value in c, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Solve 0 = s - n - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267698 is divided by 176.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 100*g**2 - 96*g + 473. Give z(-101).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.468835 litres?\nAnswer: 3468.835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/116)\/(-2*1\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 17*q**5\/60 - 4*q**3\/3 + 17*q**2\/2 - 5*q. Let n(j) be the first derivative of i(j). Differentiate n(d) with respect to d.\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*t**2 + 5*t**2 - 8*t**2 + 18*t + 12*t wrt t?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*l - 34818, 3*a - 28019 = l - 1896. List the prime factors of a.\nAnswer: 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 587522*z**2\/7 + 527594752*z\/7 - 3592\/7.\nAnswer: 2*(z + 898)*(293761*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 m, and 1 g when three letters picked without replacement from {m: 1, o: 1, b: 10, g: 2, y: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 457301447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 2*c**5\/35 + 71*c**4\/21 + 10*c**3\/3 + 588*c. Suppose k(n) = 0. What is n?\nAnswer: -35, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299456 divided by 1\nAnswer: -299456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 17*l**2 + 12. Let k(q) be the first derivative of -q**3\/3 + 16. Calculate k(w(p)).\nAnswer: -1156*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -0.1 (c) -102073\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 12. Let b be h(8). Suppose -o + 3 = -b. Suppose -2*w + o*w - 170 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10998, 11882, 13354, 15414, 18062, 21298, 25122?\nAnswer: 29534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((((((l\/l**3)\/l*l)\/l)\/l)\/l)\/l)*l)*l*l)\/l)**(-5)*l**(-9)*l**5 assuming l is positive.\nAnswer: l**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9123*b - 7142. Let f(k) = 1824*k + 1429. Let i(m) = -2*c(m) - 11*f(m). What is the first derivative of i(w) wrt w?\nAnswer: -1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-48815)\/(-25))*-5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + i + 26161 - 117942 = 0, -5*i = -35. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(10) - -1*sqrt(10)*2))\/(6*(1*sqrt(9)*3 - sqrt(9))).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 7537073 + 7537073.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-40)\/(-3 + 7). Suppose -4*i + 111 - 7 = 0. Is (i\/l + -4)*921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 17 = h, -h - 15 + 6 = -n. What is the greatest common factor of n and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f - 36. Let r(k) = -2*k - 1. What is -2*r(p) + u(p)?\nAnswer: -3*p - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 1118?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-4)\/(16\/12). Let s(z) be the first derivative of d*z + 3 + 3\/8*z**4 + 0*z**2 + 1\/6*z**3. Find b such that s(b) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -1. Let a = 83 - s. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-3)*((-40)\/4)\/160.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c4 (base 15) to base 11.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.095 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, s: 2, o: 1}. What is prob of sequence soxs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -803, -2915, -6419, -11303, -17555, -25163, -34115, -44399?\nAnswer: -56003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -32, 4, -31, -4, -22.\nAnswer: -32, -31, -22, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*c - 2*s, s = -2 - 1. Let q be (-3 - 2)*c\/(-5). Does 20 divide -1 + (-3 - -46) - q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**3 + 603716*y**2 + 603728*y - 1207440 = 0.\nAnswer: -2, 1, 150930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2229 a factor of 69885837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1028105 + -38.9174.\nAnswer: 1028066.0826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -29995478249.\nAnswer: 29995478245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - 2*f**2 + 15*f**2 + (-f + f - 3*f)*(-2*f + 2*f + 2*f) + (1 + f**2 - 1)*(-1 + 3 - 3) - 3*f**2 + 16*f - 16*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14974 - -14974. What is the closest to -2\/9 in 13, t, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 divided by 3\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0397 - -2.0697. Let t = j - 1.63. Which is the second smallest value? (a) -21 (b) t (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302223 (base 4) to base 3.\nAnswer: 11110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i**3 + 46 - 2*i - 46.\nAnswer: 20*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 3*c**2 + 2*c - 6. What is the least common multiple of 1894 and j(2)?\nAnswer: 1894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169 + 223. Let n = f + 69. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*n - 8*n = -4, -4*y - n - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 29 = -3*l + 3*x, 0 = l - 2*x - 4. Factor 5*v - 2*v**3 - 1827*v**2 + 3*v + 1821*v**l.\nAnswer: -2*v*(v - 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 179268.8, 159, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 2*r - 8 = 3*w, 0 = -3*w - r + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**5\/60 + r**4\/3 + 5*r**3\/3 - 11*r**2. Let p be l(9). What is the second smallest value in 5, p, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2267 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 234.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*t = -4*i + 26, i - 2*t + 2 = 0. Suppose 0 = -31*w + 3*w - i*w. Solve w = -6*n - 2*n + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 5:56 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -69792.905 times 12\nAnswer: -837514.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92817 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 h = 0 - 0. Let n(l) = h + l - 4 + 3. Let m be n(4). Solve m = 2*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from {l: 3, y: 2, f: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 15*l + 111*l + 184*l + 31*l. Let y be d(5). Let s = y + -462. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let w be 8\/(-4 - (-150)\/35). Let i = -30 + w. Give m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q + 78. Let n = -60 + 50. Let i be y(n). Let h(c) = 5*c**3 + 2*c**2 - 2*c + 2. Let m(s) = 11*s**3 + 5*s**2 - 5*s + 5. Determine i*m(z) + 5*h(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1121 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44 * 4\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 5*x**2 + 54*x + 497. Let w be l(-7). What is the greatest common factor of w and 1059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 + 2. Let s = -2 + -1. Let a = 2 - 1.9. What is the nearest to a in g, -5, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-8)*(-168)\/(-18). Suppose -4*h - d = 2*d - 35, -d = -4*h + 15. Solve 5*n = -3*r + h, 2*n + r - t = -4*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13817772 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 112. Let j = r - 47. Suppose w = -x + 3, 0 = 3*x - 5*w - 30 + j. Put x, -1, 4, 2 in descending order.\nAnswer: x, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 5)*(-3161)\/(-1199).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 10123279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 3 + 3)*(-4*w + 3*w + 3*w)*(-2*w + 4 - 4)*(4*w + 0*w + 2*w) as c*w + k*w**2 + h*w**3 + i and give h.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162176.8ms to microseconds.\nAnswer: 162176800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262d78 (base 14) to base 16.\nAnswer: -140dee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 79 (b) 0 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/68 - 1051\/748. Calculate the common denominator of -44\/3 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/138*7\/((-280)\/52)*-4?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, 28649949 in decreasing order.\nAnswer: 28649949, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 61422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + (sqrt(273) - -1*sqrt(273))\/sqrt(7))\/(-6*2*sqrt(3)) + (3 + sqrt(13) + 2 + (sqrt(1573) - (2 + sqrt(1573))))**2.\nAnswer: 23*sqrt(13)\/4 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 96*u**2 + 5*u - 1. Let d(z) = z**3 + 4*z**2 - 5. Let s be d(-2). Is y(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -574 and -957.483.\nAnswer: 549595.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -524\/9. Solve 0 - n*t**4 + 0*t + 4\/9*t**2 + 2\/9*t**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111 (base 2) to base 9.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 728923830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23244 + 10?\nAnswer: 23304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7449 - -7444. Which is the second smallest value? (a) 0.2 (b) -0.5 (c) 0 (d) v (e) 35\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**5\/20 - 3*g**4\/4 - 11*g**3\/6 + 7*g**2 + 2128*g. Let z = 34 + -24. Calculate d(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 946533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k + 9. Let o(l) = 3*l - 4. Let h(y) = -4*a(y) - 9*o(y). Let i(q) = q**2. Calculate h(i(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -53*x**7\/210 - 21*x**3 + 16*x**2 + 1. What is the first derivative of y(b) wrt b?\nAnswer: -212*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 5 = -28*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3724 - -3721. What is the closest to 2 in 4, i, -11\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12604069858.36 - -0.4?\nAnswer: -12604069857.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.816 + -0.154. Let j = o - -1.074. Round j to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/10*(-55)\/11. Let d be 3*((-32)\/g)\/2. Is d\/18 - (-4560)\/108 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8761642*q**4 - 2544854*q wrt q?\nAnswer: -105139704*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1303204564876 - 154*x**3 - 1303204564876.\nAnswer: -154*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 106\/13265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132 is divided by 194?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*x**2 - 2 + (-2 + 2 + x)*(-x - 3*x + 6*x) + (-x + 4*x - 4*x)*(-11*x + 7 - 7).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.806098 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 4*o**2 + o - 3. Suppose -27 = -5*d - 12. Determine x(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 375 = 14*h. Put -2, -1, 1, h in decreasing order.\nAnswer: 1, -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 908*s - 53746. Calculate f(-384).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -350\/3471 - 7\/89. Let x = b + -2\/13. What is the closest to x in 1\/3, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20773962 divided by -54\nAnswer: -384703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**2\/2 + 9. Determine t(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/36 and -56\/5?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.13002 times -0.2\nAnswer: 0.026004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4872, -15760, -32634, -55488, -84316, -119112?\nAnswer: -159870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*s = -63*z + 66*z - 78 + 18, -s - 5*z = -100 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270585068 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 268\/65 + -21\/5. Let d(k) be the second derivative of 2*k**3\/3 + 3*k**2\/2 - 4*k. Let i be d(-2). What is the biggest value in -2, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 740 and 1880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01370743 to 4 decimal places.\nAnswer: 0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.6 + -9.4. Let t = -11.9 - s. Let x be 4 - (-2 - (-1 - 2)). Is t < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**2 - 4*u - 28. Let k(h) = 15*h**2 - 7*h - 59. Let p(a) = -6*k(a) + 13*l(a). Determine p(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146153507.\nAnswer: 146153507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8902*p**3 + 8911*p**3 - p**2 + p**2.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 + 10*l**2 - 16*l + 8 = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110772782 to the power of 1\/2, to the nearest integer?\nAnswer: 10525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h + 52. Let n be b(5). Let y(l) = l**2 - 3*l - 1. Let u be y(2). Let z = 3 + u. Solve m + z*m - n = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40237, 40239, 40243, 40249, 40257?\nAnswer: 40267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + p**2 + 27*p - 2. List the prime factors of u(9).\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488400538.\nAnswer: 2, 23, 10617403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 102 = 3*x, k - 4*x = -2*k + 70. Let n = -13 + k. Let q be ((-2)\/(-4))\/((-1)\/(-110)). What is the highest common divisor of n and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-15)*3)\/((-13468)\/4810).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 7*u**2 + u - 7. Suppose -5*n + 41 + 114 = 0. Suppose 3*d = 223 - n. Suppose d*f - 59*f = 35. What is w(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - g + 4 + (2 + 0 - 3)*(5*g + 0*g - 3*g) - 4*g - 3 + 3 + 4*g + 0*g - g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 - 22*r**2 + 4*r + 10. Let t be z(-5). Let s = t - -65. What is the smallest common multiple of 25 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5126*r**2 - 16*r + 20. Let p be d(10). Let i = p + 846740. What is i rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.01, -2, -0.4, 27.35, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 3*j - 2. Let p be r(5). Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3711 + -1532. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhssushssssxuh. What is prob of picking 2 s and 1 x?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*16*1\/2. Suppose -660 = -5*h - 60. Let m = -120 + h. Solve -f = -m*o + 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329142*c*t**2 + 535370*c + 87*t**4 - 55 with respect to t.\nAnswer: 658284*c*t + 348*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -37.6. Suppose -6*y + 3*y + 6 = 0. What is the nearest to y in c, -1\/6, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (15 - 6 - (36 + -30))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10107636 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -11*u + 20*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 0*z + 229165*z**2 - 227686*z**2 - 4*z to the form d + y*z**2 + r*z and give y.\nAnswer: 1479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669808772.\nAnswer: 2, 17, 9850129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 36900 divided by -7380\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61435 = -31*m + 62334 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**(-13))*(q**(-11)\/q)\/q assuming q is positive.\nAnswer: q**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i + 206 - 248 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-2 - -4 - 0). Is t less than or equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -2)*(-7)\/98*-4. What is the second biggest value in 4\/3, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 8\/11, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.00564 + -321.04436. Let z = 321 + v. Let x = 29 + -29. What is the closest to x in 2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 104*v - 4508.\nAnswer: 4*(v - 49)*(v + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177836 by -7732.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/154*40 - (-564)\/987. Let g = 1811\/9 + -201. Which is the closest to k? (a) g (b) 0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b = 423 - 406 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9))\/((-36)\/135)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261729244 or -0.01?\nAnswer: 261729244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30182 to three dps.\nAnswer: -0.302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.13 (c) -1.011 (d) 249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*p - 1514*p + 28377 = 0 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -2*q**6\/15 + 32*q**5\/25 - 21*q**4\/5 + 88*q**3\/15 - 16*q**2\/5 + 90. Determine l, given that s(l) = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4606027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/2 - 1506859*k**2\/2 + 283836669976*k - 6527844851326 = 0.\nAnswer: 23, 753418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 less than 700328551?\nAnswer: 700328875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 598 and 299?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m - 19 + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/2336 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6214409571 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 34335 = -12*x - o, 0 = -5*x - 3*o + 34355. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x + 23 = 199 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.370233 * -1125\nAnswer: -416.512125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 90\/(-10) + (1\/1 - -2). Let v be (b\/9)\/((-60)\/234). Is v bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -399\/8 - -401\/8. What is the nearest to -1\/3 in l, -0.77, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6803 + 1801. Is 1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5596503 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.4 - -48. Let m = 1 - r. What is the smallest value in m, 3, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 8:30 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (7 - ((1 - 8) + 12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2584*c - 1 - 423*c - 1562*c to the form d + l*c and give l.\nAnswer: -4569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/970 and -31\/60.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 35. Let g(m) = m + 1. Let z(d) = 2*d**3 + 2*d**2 + 14*d + 4. Let r(p) = h*z(p) + 10*g(p). List the prime factors of r(-4).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 9, a: 1, g: 6}. Give prob of sequence bgbg.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**(2\/13))*a\/(a*a**(2\/5)))\/(a**(1\/3)\/a)**(-36) assuming a is positive.\nAnswer: a**(-1511\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 39*o + 446. Calculate g(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*f - 3*q + 5*q, 4*q = -5*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/9 - -7)*(-3)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (413\/(-1475))\/7*-105?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/60 - 5*j**4\/12 - 2*j**3\/3 - j**2. What are the prime factors of v(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2316 = 4*i, 5820 = 5*t + 8*i - 4*i. Let c(h) = -3*h + 2335*h**2 - t*h**2 - 1175*h**2. Let d(n) = -4*n**2. Calculate c(d(a)).\nAnswer: -128*a**4 + 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*f = 207, 0 = -3*l + 4*f - 43 - 165. Suppose -21 = 3*z - 9. Let i be l\/(-56) - (-6)\/z. Are 1 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0*q**2 - 8*q + 0*q**6 + 0 + 0*q**5 + q**3 + 0*q**4 + 1\/14*q**7. What is the second derivative of h(g) wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 62*p**2 + p + 235. Let b be (-1)\/3 - 10\/(-3). Is j(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 341, 678, 1009, 1334, 1653?\n\"Answer: -3*s**2 + 346*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, m: 1}. Give prob of sequence ss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*b**5 + 752*b**4 + 2676*b**3 - 2360*b**2 - 1056*b = 0. Calculate b.\nAnswer: -4, -1\/3, 0, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 2:05 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-3))\/((-2)\/3). Suppose 0 = 2*p + 5*y - 7 - 3, -5*p = -2*y + 4. Solve 0 = -w - p - g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -8.98. Let i = -9.7 - t. Let h = 0.4 + i. Which is the biggest value? (a) -3 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/30 + 581*j**2. Let v(b) = 4*b**2 - 86. Determine v(q(d)).\nAnswer: 16*d**4 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 2:07 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010000000100010 - 101000010100?\nAnswer: -110010101000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let d be ((-30)\/15)\/((-1)\/10). Let h(a) = -20*a - 64*a**2 + d*a. Give h(w(z)).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 31. Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -323385 by -64677.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 11*b**2 + 5*b - 10. Let q = -404 + 283. Let j = -97 - q. What is the smallest common multiple of x(11) and j?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/3 (b) 5 (c) 0.1 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/76780 and 121\/27920.\nAnswer: 307120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1225392453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 49 = -2*s, -2*s - 2*h + 27 = -7. What is the least common multiple of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/13927 or -1?\nAnswer: 8\/13927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 - 3)*(4 - 4 - a) - 2 + 2 + 3*a)*(2*a - 4*a + a) as k*a**2 + y + u*a and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r - 2. Let k(q) = -9*q - 72. Let h be k(-18). Let x = h - 88. Calculate y(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 371 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/61 - 195\/244. Let j = 1 + i. What is the second biggest value in 3\/5, j, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2430 and -53\/28215?\nAnswer: 507870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 42363629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.906421 millilitres in litres?\nAnswer: 0.008906421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/6)\/(2\/(-3)). Let r be -4*((-1)\/4 - -1) - (-142 - -118). Let i be r\/d*2\/21. Which is the nearest to 3\/4? (a) -0.3 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 776551012 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) -2 (b) -0.3 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r - 9*r - 7 + 7*r. Let y be o(5). Let x = 36 - y. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 17*n + 49. Let h(u) = -9*u - 5. Calculate the remainder when y(18) is divided by h(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/6 - 0)*((-616)\/(-40) - 15). What is the second smallest value in -4\/5, 14, 3\/7, n?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110133220123 - -20?\nAnswer: 110133220203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112\/5 + -316\/15. Find r such that -4\/3*r - c - 1\/3*r**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*z = 64, -2*b + 12*z = 11*z - 56. What is the highest common factor of 1192 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1740918.9 months to centuries.\nAnswer: 1450.76575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3))**(-28))**(-1\/14)*(y**(1\/3))**(-44)\/((y*y**(-1\/3))\/y*y**3) assuming y is positive.\nAnswer: y**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**5\/18 + a**4\/18 - 4*a**3\/9 + 4*a**2\/9 - 10*a. Let t(c) = 0. Calculate c.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -636, -1688, -3242, -5304, -7880?\nAnswer: -10976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - 1. Let u = b + 14. Calculate the remainder when ((-22)\/8)\/(2\/(-8)) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - 12*v**2 + 15*v - 3. Let h be c(9). Let i be 5 + (h\/(-11) - 6\/33). Which is bigger: 281 or i?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnndknhqkddn. What is prob of picking 2 k, 1 q, and 1 n?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 9) to base 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-41)\/70 - 4\/(-14). Suppose 0 = -2*s - 58 - 118. Let y = 87 + s. Which is greater: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/2 - -5. Which is the nearest to s? (a) 3\/2 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579707687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13) + 1)**2 + -5.\nAnswer: 17 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/9 - 2090*x**4\/9 - 80228*x**3 - 8916804*x**2 + 89443926*x + 1470280734 = 0.\nAnswer: -351, -9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21652252 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -227547?\nAnswer: 3185658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -7. Let c be x\/(-5) + 302\/10. Calculate the highest common divisor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2694, -5381, -8054, -10707, -13334, -15929, -18486?\n\"Answer: k**3 + k**2 - 2697*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -19262 bigger than -19314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22 - -8)*6\/(-45). Sort b, 0, 11 in decreasing order.\nAnswer: 11, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.75 + -0.25. Which is the nearest to h? (a) 3 (b) -763 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 159904*s - 159904*s + 4*s**2 + 4 + 2*s**3 + (s - 4*s + 5*s)*(3*s**2 - s**2 - s**2).\nAnswer: 4*s**3 + 4*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 963 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 257463812*n**3 + 372*n**2 + 66428*n - 1.\nAnswer: 1544782872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 23756\/905?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*n + 292 + 88*n + 6*n - 9497.\nAnswer: 135*n - 9205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 62. Calculate the least common multiple of r and 38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {d: 5, v: 7, x: 3, s: 3, r: 1}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 306481 and -1.08407.\nAnswer: 306479.91593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:42 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005238363 to seven dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8121 + 342\nAnswer: -7779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14*o + 84. Let a = -87 + 3. Let t(x) = 1. Let h(c) = a*t(c) + v(c). Let y(q) = -2*q**2. What is h(y(s))?\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 5*s + s + 2*s + 2 - 2 + (-2*s + s - s)*(-2 + 1 + 3) - 493*s + 61*s - 363*s.\nAnswer: -796*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 508107451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 3*c + 4*c)*(-4 + 3 - 1)*(41*c - 15*c - 12 - 22*c) in the form r*c**2 + i*c + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 25 + 0 - -13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 7. What is the least common multiple of ((-21)\/2)\/(57\/(-38)) and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 6\/5, -3, -5, -1.6?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122925 is divided by 61290?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**3 - 3*h**2 - 32*h - 417. What is the hundreds digit of y(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(6939\/(-1028))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4820 = 4*t - 472. What are the prime factors of (t\/4)\/(1\/((-40)\/(-15)))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13654036947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/28 - (-6)\/(-8). Let a(t) = -13*t - 2. Does 11 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 64*c**2 - 101*c + 31. List the prime factors of d(9).\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3477 or 3476?\nAnswer: 3477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -56\/11 (b) -2\/9 (c) -1\/4 (d) 11.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 157287012969.514\nAnswer: -157287012973.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-28)\/16)\/7)\/(-3)*-94 and -29\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110101000100001 (base 2) to base 14\nAnswer: 9c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174645371*m**3 - 108913399 wrt m?\nAnswer: 523936113*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*n**2*t**2 - 33*n**2 + 35*n*t**2 - 2*t + 11 wrt t?\nAnswer: -18*n**2*t + 70*n*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*m**3*x + 1162*m**2*q*x + 3*m**2*q + 13*m**2 + m*q*x + 5*m*q - 3*m*x - q*x - 9684*q - 3 wrt m?\nAnswer: 66*m*x + 2324*q*x + 6*q + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 8*g**2 - 38*g - 146. What is q(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 - 5*z**4 + 6*z**4 + (-z**3 + 2*z**3 - 5*z**3)*((-2 + 7 - 3)*(2 - 2 - z) + 6*z - z - 4*z) as d*z**3 + b*z + a*z**2 + i + x*z**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206 or -616\/3?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 2)*(-56 + 56 + 34*k) in the form a + t*k and give t.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 - -161. Let b = j - 74. Solve 4*f = -d - b, -3*f = -d - 0*f + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 60308*c + 2472632. Calculate l(-41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36668 and 2352270.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10) + (-8041)\/3655?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1424.\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2928777099 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**5 + 2*i**3 - i**5 - i**5 - 6*i**3.\nAnswer: 4*i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/((-20)\/(-30))*-2. Suppose 2\/5*f + 6\/5*f**3 + 2\/5*f**4 + 0 + 6\/5*f**w = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 2, x: 1, j: 3, s: 9, w: 2}. What is prob of picking 1 q and 1 x?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(3074\/(-1219)) - 39.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u**2 - 2*u)*(-87 + 87 + 5*u**2) - 6*u**4 + 2*u**4 + u**4 + (u - 4*u + 2*u)*(2*u**2 - 2*u**2 + 2*u**3).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)*(145 + -33)\/896.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 67191 and 67191 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 19. Let x be h(-5). Let u(i) = i**2 - 16*i + 29. Let v be u(x). Solve 2*g + v = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -61. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**10*y**(4\/3)*((y\/y**(-1))\/y*y*y)**(-29) assuming y is positive.\nAnswer: y**(-224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 5*x + 9. Calculate r(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-9) + -10 + (-182)\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, t: 2, c: 1, s: 3, j: 6}. Give prob of picking 1 t and 1 j.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 3. Let g(t) = -50*t + 20. Calculate -3*g(v) + 20*u(v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17591772 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7973?\nAnswer: 7, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30032 or -33998?\nAnswer: -33998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/7 - 423*p**3\/7 - 24226*p**2\/7 + 24648*p\/7.\nAnswer: p*(p - 474)*(p - 1)*(p + 52)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + -3 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.62 - 0.661. Let b = 44.7861877 - 44.8272. Let r = b - f. Round r to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 81, 195, 395, 711, 1173, 1811, 2655?\n\"Answer: 5*y**3 - 2*y**2 + 29*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 7*o - 4. Let l be s(-4). Suppose 9*y - 5*y = l. Let j(t) = t**2 - t**2 - 2*t**2 + t**y + 3*t + 2. Determine j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = -1037 - 349. Let w = 125 + k. Calculate the greatest common factor of 65 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.5 - -22. Let n = -3 + p. What is the second smallest value in -2, 0.05, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*2 - sqrt(425))**2*-1*5.\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 - -110110001?\nAnswer: 111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 115.\nAnswer: -3\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23000210012 + 10?\nAnswer: -23000210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30665186, -1, 0, 5 in descending order.\nAnswer: 5, 0, -1, -30665186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147 + (3 - 24) + (-3 - -12) + 1 + -5.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 130*h + 12675.\nAnswer: (h + 195)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(100)*1).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154079879, -154079880, -154079881, -154079882, -154079883?\nAnswer: -154079884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373371 divided by -7321.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 43\/4, 0.03, -2\/33?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 - 679 = -136*d + 99*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - m + 3*m)*(468 - 3875 - 963) in the form d*m + r and give r.\nAnswer: 4370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -12 - (-9 + -4 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y + 3*q + 2*q, -q = -3. Let g be 15\/y + -1*(-3)\/9. Let c(a) = a**3 + 3*a - 2. What are the prime factors of c(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4*k + 6*k)*(-2*k**4 - 2*k**4 + 5*k**4) + (-9*k - 6*k**3 + 9*k)*(0 + k**2 + 0).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3895 divide 2633657440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 5:37 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84384, -84370, -84348, -84318, -84280, -84234, -84180?\nAnswer: -84118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxg when three letters picked without replacement from {g: 3, x: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 18. Suppose -3*d = -3*z + z + 13, -3*z = -2*d - 7. Let m be (d - 0)*(-18)\/15. Is 4 a factor of n(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0*u**4 + 3*u**2 + 0*u + 0*u**6 - 1\/60*u**5 + 0*u**3 + 0*u**7 + 0 - 1\/336*u**8. Find the third derivative of g(f) wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5577?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -8*q + 97 + 111, 4*l - 5*q = -130 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -q - 5, -2*x + 6 = 2*x - 2*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o + 87. Determine f(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1237\/7 - 177. Let s = -5\/42 - u. Let z = -31.5 - -31. Which is the second smallest value? (a) z (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrrtrrtrtrtrtt. What is prob of sequence nnrn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -183, -864, -2003, -3600, -5655, -8168?\n\"Answer: -229*h**2 + 6*h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18801655 and 111693?\nAnswer: 56404965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.3 - -7. Let d = 9.3 + -9. What is the nearest to 2 in d, 0, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h - 23. Let r be i(-5). Let o be (r\/4)\/((-36)\/1656). Which is smaller: o or -21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, 41, -1, 5 in ascending order.\nAnswer: -109, -1, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*y + 22, y + 8 = -y. Let j be (-6)\/t + (1 - 3). Suppose 4*b + 20 = 4*p, 4*p = b + 1 + 7. Calculate the highest common factor of p and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22691393, 45382765, 68074115, 90765431, 113456701, 136147913?\nAnswer: 158839055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 396809 to the power of 1\/2, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqt when three letters picked without replacement from {t: 1, q: 2, z: 4, f: 1, x: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from vllllvvlvllv.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 247, 451, 737, 1105, 1555?\nAnswer: 2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.0062 - 2. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 9) to base 2.\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10700 * 0.08.\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/13, 4.8, -1\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(6 + -3)*(-11 + -2). Calculate the greatest common divisor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8438 - 7601. Calculate the highest common factor of n and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/10 - (-77)\/165. Let m = 676 + -673. What is the nearest to -0.1 in m, 15, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 10, z: 1, q: 1}. Give prob of picking 3 r and 1 q.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -941045, -941140, -941221, -941282, -941317?\nAnswer: -941320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 37 - 40 - 32)*(5*l + 2*l - 4*l)*(4*l - 2*l - 3*l) to the form n*l**2 + q + r*l and give n.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16812 + -3032?\nAnswer: -19844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - a - 45, 2*d = a - 4*a - 31. Let m = -4 - d. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15758 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**4 + 5*z**4 + 23*z + 3*z**3 - 27*z to s + b*z**4 + q*z**2 + u*z + l*z**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*k**5 + 185*b**3*k**4 + b**3*k**2 - 3*k**2 - 988*k wrt k.\nAnswer: -60*b**3*k**2 + 4440*b**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 215 + -6?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**3 - 2*t**2 - t. Let z be u(-1). Let c = 6 + -3. Let y = 3.1 - c. What is the closest to y in 5, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 28*f**2 - 14*f**2 - 13*f**2 - 40.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2158*s**2 - 257*s + 520*s - 265*s as y*s**2 + h*s + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.97 and 0.048267.\nAnswer: 0.14335299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/7 - 1769812*r\/7 - 391529314418\/7 = 0. What is r?\nAnswer: -442453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 234698654\/553 + -424410. Let w = 35789\/145992 - q. Let v = w - 7\/24. Is v equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 6*r + 17 - 7, 3*x - 3*r - 15 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1776 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208024\/725 or 287?\nAnswer: 208024\/725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12813, 12794, 12765, 12726, 12677?\n\"Answer: -5*b**2 - 4*b + 12822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 25, 115 = m - 0*n + n. Is (m\/(-33))\/((-4)\/138) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26 (b) 0.5 (c) -4 (d) 0.1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232 - 162. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3\/3 - 9*u**2\/2 + 13*u + 4. Let v be m(-10). Let z be (v - 0)*(-2)\/(-6). Let r(t) = 9*t**2 - t. Determine r(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -j + 118, 20 = 5*y - y. Let v = -12 + j. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43b45 - 59?\nAnswer: 43aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -92. Is -29 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21147 divided by 2206\nAnswer: -21147\/2206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758370 rounded to the nearest 1000?\nAnswer: -1758000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 3*w - 13 + 7*w)*(-4*w**2 - w**2 + 4*w**2).\nAnswer: w**3 + 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14.682 greater than or equal to 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*n - 51*n + 40. Solve 0 = 2*k + 2*x - 4*x + 6, 15 = -n*k + 2*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a23 (base 12) to base 14.\nAnswer: -30a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**3 - o**2 - 6*o - 78. Let x(a) = a**3 - a + 1. Let h = -11 + 17. Let c(p) = h*x(p) - f(p). Is c(0) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 4. Give x(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y + 6. Let f be 1\/2 + 6\/4. Let d(b) = 97*b - 485. Let p be d(5). Solve p + y = f*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*2\/(-28)*14244\/5935\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 2, 19, 11, -71?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 4*a - 4. Let q be f(1). Suppose 3*v - q*y + y = 54, 2*v = -4*y + 36. Differentiate 13*c**4 - 14*c**4 - v + 17*c**4 wrt c.\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96.242900381 - -0.28.\nAnswer: 96.522900381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d**4 - 2 + 0*d**3 + 0*d + 35*d**2 + 4\/5*d**5. Let b(g) = 4*g. What is i(b(s))?\nAnswer: 768*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - h**2 - 6*h - 6. Let a be -2 + -2 + 3 - -1. Suppose 2*p + 2*p - 68 = a. Let v(b) = 3*b**3 - 3*b**2 - 17*b - 17. Determine p*y(f) - 6*v(f).\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.473551 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 102. Let b be y(-6). Calculate the common denominator of -47\/9 and 40\/b*(-2)\/(-15) + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 6*o - 4. Let m be b(6). Put m, -1, 0, -2 in decreasing order.\nAnswer: 0, -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1\/9, -4, 1\/7, 0.23, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.1 - -14. What is the smallest value in 0.3, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/83 + -951\/415. Let l be (-66)\/(-8) - 48\/32. Let w = l - 181\/28. Is w < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8430168 to the power of 1\/2, to the nearest integer?\nAnswer: 2903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84372*x**3 + 84324*x**3 - 168823*x**3.\nAnswer: -127*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.202*-1418.\nAnswer: 286.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -19. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3 + -2 + sqrt(396) + 2)**2 + -1 + -3 + sqrt(396) + 3).\nAnswer: -120*sqrt(11) + 1616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*z + 7, -2*q + 5 = z. Suppose 55 = -q*f - 2*f. Let a = f + 18. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*t - 0. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3\/3 - 23*b**2\/2 - 13*b + 36. What is the remainder when 23 is divided by y(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**3\/3 - s**2 + 15*s - 8. Suppose 3 = -0*k - k. What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89465.86 tonnes in micrograms?\nAnswer: 89465860000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444368*z = -444288*z - 2960 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -614317 + 3?\nAnswer: -614314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4\/3 (b) -0.3 (c) -0.1474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011 (base 2) to base 10.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 8. Let p = -3 - 4. Calculate the remainder when 77 is divided by o(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (96\/384)\/((-3)\/40648*(-2)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)\/(w\/(w*w\/w**5*w))*(w**1)**24)**(-6\/13) assuming w is positive.\nAnswer: w**(-114\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 1.4.\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160901585.\nAnswer: 5, 13, 101, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 2*g + 0 + 1\/6*g**4 - 115\/6*g**3 + 112*g**2. Differentiate d(i) wrt i.\nAnswer: 4*i - 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 + -169. Solve -3*o + m + 15 = 2*o, -3*o - v*m = -27 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frfyrarrwfyufafffwwr. Give prob of sequence fw.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872 (base 15) in base 7?\nAnswer: 21254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*y**2 - 19*y**2 + 4 - 27*y**2 as p*y**2 + q + c*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1, 4.2, -0.4, -3\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103103323 + 203103?\nAnswer: 103313032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 5:31 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(1078\/70) - (-10981)\/(-13825)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6565 + -6502 - (2 + -4 - -26).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkjhkckkkkkknhkn. What is prob of picking 2 k and 1 n?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3856\/3 + (-1)\/9*3. What is the tens digit of -3*(h\/10)\/((-9)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n + 2*n + 10*n**2 - n + 9*n**4 + 3*n**2 + 24*n**3.\nAnswer: n*(n + 2)*(3*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) 19 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 32960 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -20943*d - 4000117. Give m(-191).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 4*s**4 - 3*s**4 + (0 + 4 - 3)*(-s**4 + 3*s - 3*s) + 2*s - 2*s + s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -513096265 and -37.212.\nAnswer: -513096302.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 358\/23 not equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/13)*x\/(x*x*x**2)*x*(x**0*x)**(4\/19)*(((x*x\/(x\/(x\/x**(-1\/2)*x)))\/x)\/x**5)**(-19\/3) assuming x is positive.\nAnswer: x**(21041\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -2\/13, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -6*c - 289. Solve -5 = -2*z + c*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4457 + -3?\nAnswer: -445a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -749*z + 20 - 4 - 15 + 3345*z to r*z + d and give r.\nAnswer: 2596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6272 is divided by 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 58133?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-45))\/(-2))\/(2\/20*-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 3*a**2 - 2*a + 2. Determine j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyy. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24081 - 24078. Solve 4*r = -w*b + 29, 2*b = -23*r + 27*r - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1474110, 1474097, 1474084, 1474071, 1474058?\n\"Answer: -13*r + 1474123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(144)\/sqrt(8)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 100100010?\nAnswer: 100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**2 + 2*g + 2. Let t = -6 - -8. Let b be h(t). Let y = -10 - b. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/7)*w*(w\/((w**(-5)\/w)\/w))\/w)\/(w**(-1))**(-5\/17)*((w\/(w**0*w))**(-15\/7))**(-14) assuming w is positive.\nAnswer: w**(1070\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkurkchrckkkkrrhh. Give prob of sequence rkh.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575*o - 582*o + 11893 = 0. What are the prime factors of o?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3746, -7478, -11198, -14900, -18578, -22226?\n\"Answer: o**3 - 3739*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -1)\/(3\/2). Suppose -3*j + m*o + 712 = 0, 7*j - 2*j - 1220 = -5*o. Suppose -j = -7*z + 2*z. Calculate the greatest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/1 + -5)*-104. Let x = -97 - p. List the prime factors of x.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/19 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5ac (base 16) in base 9?\nAnswer: 174062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 337875 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -715 + 775. Find the common denominator of (-4)\/6*1026\/g - -1 and -133\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1000414 + -3?\nAnswer: -1000422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24796, 99065, 222804, 396013, 618692?\nAnswer: 890841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7527*i**3 - 3*i + 136 + 26*i**2 - 26*i**2 + 1 + 0*i**2 wrt i.\nAnswer: -45162*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6028.63 + 6061. Let w = 8.1 - -23.9. Let i = w - j. What is i rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-4 - -2))\/(-1). Suppose -5 = -h + 3*p, -h + b*h + 5*p = -5. Solve -y + 0*y + h*g + 30 = 0, g + 10 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117194689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6031.806 months in decades?\nAnswer: 50.26505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - 1 - 6 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6245 is divided by 1555.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5752 + 864. Suppose -3*u - o = -5*p, -8*p + 5*p + 734 = -2*u. Round p to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l - 118. Give t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -283, -39, -2 in increasing order.\nAnswer: -283, -39, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -116 - 3\/4*v**2 - 1\/20*v**5 + 5\/12*v**3 + 0*v + 1\/8*v**4. Let p(j) = 0. Calculate j.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 20 = -5*p. Suppose -p*k - k = 240. Calculate the common denominator of 87\/20 and (-1 - -7)\/(k\/54).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -19*q**2 + q - 36. Let x(v) = 16*v**2 - v + 30. Let o(w) = 5*t(w) + 6*x(w). Let n(k) = 10*k**2 + k. Calculate -4*n(r) - 4*o(r).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -484.779 + 485. Let l = h + -7.381. Round l to 1 decimal place.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4626, -4672, -4766, -4920, -5146, -5456, -5862?\nAnswer: -6376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 26. Let f = -6 - m. What is the remainder when 3\/(6\/(-4)) - -40 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zia when three letters picked without replacement from {a: 8, i: 2, z: 3, f: 6}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 5 - 1)*(0 + 3 - 1) + 1 + 1 - 1)*(-5 + 5 + 4*t)*(18*t**2 + 6*t**2 + 33*t**2) in the form r*t + s + i*t**3 + q*t**2 and give i.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1803177066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*y**3 - 14*y + 4*y**4 + 0*y**2 + 29*y**3 - 2*y**2 + 6 to the form u + h*y**3 + c*y**4 + b*y + o*y**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**6\/2 - y**5 - 53*y**3\/3 - y**2\/2 - 153. Find the third derivative of j(x) wrt x.\nAnswer: 180*x**2 - 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 17 + 2)*(x + 2*x - 5*x)*(4 - 83 + 39) to d*x + m and give d.\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -1\/10*s**5 - 10*s - s**4 - 4*s**2 + 0 - 3*s**3. Factor t(i).\nAnswer: -2*(i + 1)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 3*o + 236. Let w(v) = -2*v. Determine m(w(u)).\nAnswer: 8*u**2 - 6*u + 236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 53*a - 587. Let l(p) = -6*p + 8. Let s be l(6). Let w be a\/42 - (-8)\/s. Sort w, -5, -2.\nAnswer: -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r + 5. Let j be d(5). Suppose -v - 4*c = j, -3*v + 2*c - 73 - 57 = 0. What is the smallest common multiple of 12 and 30\/v - 150\/(-8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 26. Which is the biggest value? (a) v (b) -3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.0109 + -0.0109. Which is the third smallest value? (a) 3 (b) h (c) 0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.703639074 plus -2.8?\nAnswer: -7.503639074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26799 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 - 20\/(-6). Suppose 3*a + 3 = 0, a = p*t - 7 - 6. Let j be (-3)\/(-6)*2 - t. Is j <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*8\/6 + (-90315)\/(-5244). Let o = i - -12\/437. Let d = -5323\/114 - -732\/19. Calculate the common denominator of o and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - j + (4*j - 6*j + 4*j)*(-3 + 6 - 2) - j - 2*j + 5*j - 2*j + 2*j + j + 1 - 1 - j + j + 0 + 0)*(4 + 14 + 3)*(-3*j**4 + 6*j**4 - j**4 + 9*j).\nAnswer: 168*j**5 + 756*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34a722 (base 12) to base 14.\nAnswer: -180d3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24104057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 16. Let m(j) = 2*j - 1. Let w be m(2). Find the first derivative of w + 5 + 2*o**p - 7 wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 6*y**2 - 3*y + 2. Determine u(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13416 and 600.\nAnswer: 335400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 161967 and 2.64.\nAnswer: 161969.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(10\/(-105) + 0) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 161*o = -160*o - 4, -3*o = 6*x - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -7*w + 602, -l = -w - 338 + 104. Let g be 0*2\/4 + 119. Let b = -63 + g. What is the greatest common factor of b and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317858 by 425.\nAnswer: -317858\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 68*c - 23. Let r be h(2). Suppose -r = 3*d - 428. Suppose 0 = 5*k - 4*s + 5 - 60, 3*s = -3*k + 60. What is the greatest common factor of d and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10195, 3, 10, 27, -4, -2, 4 in descending order.\nAnswer: 27, 10, 4, 3, -2, -4, -10195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5082 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1155911 rounded to four dps?\nAnswer: -0.1156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 3. Let w = p + 27. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7592899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 7:50 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 323 + -62. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:38 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127.9 - -130.9. Let h = -74\/135 - -4\/27. Which is the nearest to 6? (a) r (b) 2\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 38. Let p be t(38). Is 1\/1837 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/390)\/((-50)\/3750)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 693*k + 654. What is f(-1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 21829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*h**3 + 2*d**2*h + 32*d**2 + 2*d*h**2 - 235*h**4 - h**2 wrt h?\nAnswer: 6*d**2 - 5640*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 5*m - m + (-3 + 2 - 4)*(2 - 2 + 2*m) + (-2*m + 4*m - m)*(-2 + 0 + 7).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*146.\nAnswer: -9636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/870 and 129\/46690.\nAnswer: 140070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + k**2 - k - 6. Let t be 3\/1 + -6 + 3. Suppose 0*x + 2*x - 20 = -5*z, 3*x - 4*z + 16 = t. Calculate h(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32947 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*h = -4*h - 16, -3*t + 2 = -5*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 477\/15. Let g(p) = -13*p - 6. Let n be g(-6). Let u be o\/n*(-3)\/10. Which is the closest to -2? (a) u (b) -0.5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 - 16*x + 16*x + (-x**3 + 2*x**3 - 3*x**3)*(-5 + 3 + 0) + 5*x**3 + x**3 - x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let y(c) = c**3 + c**2 - 8*c. Let q = -748 - -757. Give q*k(u) + 2*y(u).\nAnswer: 2*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/41, 2\/11, -0.5 in increasing order.\nAnswer: -2, -0.5, 2\/41, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 4*b**2 - 2*b + 2. Let l(a) = -a**2 + 2. Let c be l(-1). Suppose -5*x + 4*n = c + 1, 0 = 2*x + 4*n + 12. Determine h(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112290 by -3.\nAnswer: -37430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -2*n**2 - 2*n + 415. What is c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 24. What are the prime factors of 3 + (-180)\/(-4) + l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 47. Which is the biggest value? (a) -5 (b) o (c) -4 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from xehcphk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - i**2 + i**2 + 42.\nAnswer: -4*i**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 864.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.333 + 0.133. Let j = -13\/25 - -193\/275. Which is the closest to -1? (a) j (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2 - 1 - 126*a**2 - 21*a + 23*a - 5 as g*a**2 + m*a + w and give g.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33923566.\nAnswer: 2, 47, 313, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 837.9 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-k + 0*k + 3*k) - 2*k + k + 0*k + (-6 + 1 + 4)*(k + k + 0*k) - k + 4*k - 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 225*d**2 + 118*d + 601. Calculate r(-113).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*p + 246 = 0, 2*v + 3*v - 4*p = 410. Calculate the greatest common divisor of v and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 2*w + 7. Let n be f(5). Let y be n + 3*8\/6. Is 10*(-1 - 42\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 1. Suppose -4*j - 31 = -43. Give n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.063 + -7.063. Let p = 56.6 - 56.2. Which is the smallest value? (a) 6 (b) p (c) v (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 5:07 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2492.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxxaeaaffae. Give prob of picking 2 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 21. Let n be q(-3). Suppose 12*p = -u + 16*p + n, -u - 15 = 2*p. Let b(h) = -h**3 - 3*h**2 - 2*h - 9. Does 38 divide b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 4 - 4)*(-2*x - 3 + 3) + x**4 + 2*x**4 - 6*x**4 - 3*x**4 - 4*x**4 + 6*x**4 - 4*x**2 + 4*x**2 + 3*x**4 + (2*x + 7 - 7)*(2 - 2 + x**3).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6099\/(-642) - (4 + (-55)\/10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1083.3, -2, 62\/1205?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -120*q**2 + 7*q - 5. Let g(u) = -60*u**2 + 3*u - 2. Give 2*d(a) - 5*g(a).\nAnswer: 60*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1378 + -1242. Let d be 3\/(-51) - (-212)\/x. Let -6*v**2 + 6*v**3 + 0*v + 0 - d*v**4 = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1482a - -1?\nAnswer: -14829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - r - 4*r = -7, 4*g = -5*r + 13. Let t be 58*1\/(-1) + g. Let v = t - -82. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {y: 5, b: 2, f: 1, e: 1, u: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -582.74 times 858.1?\nAnswer: -500049.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)*l**(-1\/2)*l)\/(l**2\/l*(l**(-7)*l)\/l)*((l*l**(1\/3)*l)**(-1\/52))**(10\/19) assuming l is positive.\nAnswer: l**(32111\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 2*c + 23. Let s be a(5). Suppose -13 - 43 = -s*j. Calculate the lowest common multiple of 10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 52, -5\/2, 1.7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011011110011010010 (base 2) to base 10.\nAnswer: -376018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -464022 + 691152. Round c to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 6 + 3*h - 4*h)*(0 - 52 - 23).\nAnswer: -225*h + 450","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54949 is divided by 60?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2136251*k**3 - 4*k - 40733254 wrt k.\nAnswer: 6408753*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -635 (base 13) to base 10\nAnswer: -1058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4970121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - -39. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c + 168 = -8*c. Let z be (4 - -24 - 1) + c. Suppose 4*t - 10 - 10 = 0. Solve t*q + z = -2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 5*l**3 - l**3)*(-78 + 142 - 64 - 343*l**2).\nAnswer: -686*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 273677625 divided by -5?\nAnswer: -54735525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45355.4 rounded to the nearest one hundred?\nAnswer: 45400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2 + 1169*v - 2334 = 0.\nAnswer: 2, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58b (base 12) to base 2.\nAnswer: 1100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 96*t**2 + 148*t - 49. Is 47 a factor of f(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4613 - 4634. Is 135 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38096988660 - 177.\nAnswer: -38096988837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-10)\/3 - -16.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 8. Let r(k) be the third derivative of k**4\/12 + k**3\/2 + 4*k**2. Let l(w) = 3*b(w) - 8*r(w). Let j(p) = 3*p**2. What is j(l(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -384460358, -384460356, -384460354, -384460352, -384460350, -384460348?\n\"Answer: 2*z - 384460360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -476 - -61. Let s = -398 - a. Solve -2*q - 5*g - 1 = 3, -5*q = -g - s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80\/117 + -6\/13. What is the third smallest value in 4, s, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2859382513 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*a - 218*a - 4*a**3 + 304*a - 5*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llql when four letters picked without replacement from {l: 8, q: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42206b7 - -2c?\nAnswer: -4220688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 753285*d + 1. Let m(b) = -45*b - 2. Calculate m(z(h)).\nAnswer: -33897825*h - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 307, -1052, -3311, -6464, -10505?\n\"Answer: b**3 - 456*b**2 + 2*b + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -5 (c) -0.5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x = 3*s - 96198, -2*s = -3*x - 64132. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1572030 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2 + sqrt(475) + sqrt(475)) + -2 + sqrt(475) + 3)**2 - (5 + (sqrt(475) - (-4*(sqrt(475) + -1*sqrt(475)) - sqrt(475)))**2))*3.\nAnswer: -4287 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 11*w**2 - 2*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 164966 < 165108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5\/4 (b) -4 (c) -2\/7 (d) -648.9 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxzzxxzzxzzzzzzzxzx. What is prob of picking 1 x and 1 z?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 5:16 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.33. Let c = 3.27 - 0.27. What is the nearest to c in 4, h, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*a + 26 - 7, 5*p - 5*a + 10 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 25*s**3 + 11*s**2 + 6*s - 11. Let p(r) = -5*r**3 - 2*r**2 - r + 2. Determine -22*p(q) - 4*u(q).\nAnswer: 10*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/5 + 3893*m\/5 + 3395106\/5 = 0 for m.\nAnswer: -2574, -1319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 7*d**2 - 4*d - 13. Let t be g(-7). Solve -4*w + t = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12) - 2)*(-1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1363.39706 + 152.062\nAnswer: 1515.45906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3210.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 35 = -1. Let j be ((-3)\/z)\/(2\/(-20)). Solve -3*t - 22 = -3*k + k, -5*k = -j*t - 45 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-144))\/((-4)\/(-32))*-9 - -7\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4958969, 9917939, 14876909?\n\"Answer: 4958970*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46, -47, -48?\n\"Answer: -q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(66\/(-12) - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228060727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 5) in base 3?\nAnswer: -12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9 = -1. Let l(i) = 36*i**2 - 16*i**f - 18*i**2. Let p(b) = -5*b. What is p(l(u))?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*x + 5, -2*x - 16 = -2*p + 2*x. Suppose 0 = 2*h - p - 6. What is the units digit of (7 + -3)\/(h\/22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 683*n - 6119. Calculate k(11).\nAnswer: 1394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19008858 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*n**3 - 6*n**3 + 0*n**3 + n**3)*(-1 - 1 + 1) + 0*n**3 + 5*n**3 + 30*n**3.\nAnswer: 108*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 8:15 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 931 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*x + 3410 + 3395, 4*f + x = 27372. Calculate the lowest common multiple of f and 6.\nAnswer: 41070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*g**5\/17 - 9838*g**4\/17 - 105492*g**3\/17 - 305120*g**2\/17 - 79576*g\/17 + 129870\/17 = 0. What is g?\nAnswer: -481, -27\/5, -5, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/25 - (-6)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.088 - -0.577. Let n = 32 - 31.965. Let s = n + h. Is 2 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4233020, 4232934, 4232794, 4232600, 4232352?\nAnswer: 4232050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 556 - (0 + 0\/(-5)). Let z = b - 516. Calculate the remainder when 277 is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13180188 is divided by 3295026?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 41*y**2 + 77*y + 46. Let z be k(39). Let s(h) = -11*h + 7. Let v(u) = 5*u - 3. Calculate z*v(g) + 3*s(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j - 2 + 2 + (-2 + 0 + 4)*(-5*j + 2*j + 2*j) in the form v + b*j and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - a - a - 3*a**3 + 6*a**3 + 254*a**2.\nAnswer: 3*a**3 + 254*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -5*m**5\/4 + 29*m**3\/6 - 11*m. What is the second derivative of n(i) wrt i?\nAnswer: -150*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 2:02 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3312332 (base 9) to base 15\nAnswer: 25250b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496 = -19738*c + 19622*c + 5252 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o + 20 = 0. Suppose r = -2*k - 4, -r = 3*k + o - 0. Suppose 136 = 4*n - k*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4351563847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 2)*(-3)\/2. Let a be 5 - -1 - (-18)\/6. Let d(x) = x**3 - 9*x**2 + x - 12. Let w be d(a). Is w <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) - (-2*sqrt(300))**2)) + -1 + sqrt(147))*3 + (sqrt(324) - (sqrt(324)*2 + sqrt(324)))\/(sqrt(363)*-3).\nAnswer: 235*sqrt(3)\/11 + 3597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - (-611 - (-24)\/(-4)). Let a = i + -373. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -2*b - 5*t, -1678*b + 1673*b = 2*t - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6)*(5 - (-1 - -9)). Solve 2*v + 4 = -h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4488 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*x - 22*x + 0*x**2 + 24 - 4*x**2 - 18 + 19*x**2 to the form z*x**2 + q + y*x and give y.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 3}. What is prob of sequence yy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*l = 5*n - 255*l - 100, 4*l = -5*n + 85 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24314716 to the nearest integer?\nAnswer: 4931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 + 0.5. Let o = 6.8 - -0.2. Let l = q + o. Is l equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 7. Let n(y) = -2 + 0 - y + 12 - 4*y. Let c be n(3). What is the units digit of d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90726 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413 < 1413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13005.2 and -0.2923.\nAnswer: 3801.41996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/48 - (0 + 3\/(-1)). What is the smallest value in y, -1\/4, 0.01?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13985 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1115)\/(-20))\/((-9)\/(-4)). Let q = -25 + m. Suppose 3*d - 2*z = 3*z - 3, 3*d + 2*z = -3. Do q and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 0.179?\nAnswer: -1.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3\/4, 0.6, 2\/7, 605, -2 in decreasing order.\nAnswer: 605, 0.6, 1\/2, 2\/7, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/107 + 761\/642. Factor -1\/3 + 2*m**2 + 1\/2*m + b*m**3.\nAnswer: (m + 1)**2*(7*m - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-12) - 14\/(-6). Let f = 4 - 3.8. Let l = 4 + -7. Which is the second smallest value? (a) q (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1423926374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -21316811422442?\nAnswer: -21316811422436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 - -239. Solve 2*m - c*b = 7, 0 = -4*m - 3*b + 2 - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 4*c - c - 2*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1776250 is divided by 355223?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}